xref: /dports/science/tfel-edf/tfel-3.2.1/docs/web/bibliography.bib

@article{portelette_crystal_2018,
	title = {Crystal viscoplastic modeling of {UO}2 single crystal},
	issn = {0022-3115},
	url = {http://www.sciencedirect.com/science/article/pii/S0022311518305981},
	doi = {10.1016/j.jnucmat.2018.06.035},
	abstract = {The viscoplastic behavior of uranium dioxide ({UO}2) single crystal is of great interest to perform predictive multiscale modeling of the nuclear fuel. Here, a viscoplastic model is built considering dislocation glide in ½{\textless}110{\textgreater}\{100\} and ½{\textless}110{\textgreater}\{110\} slip systems. The constitutive law parameters are determined adjusting the temperature dependency of the experimental critical resolved shear stress for both principal slip modes. Crystal plasticity finite element simulations of single crystal compression tests show a reasonable agreement with experimental viscoplastic anisotropy of {UO}2. However, for specific orientations where ½{\textless}110{\textgreater}\{111\} slip is observed experimentally, significant differences remain between experimental and computed compression stresses. Therefore, the role of ½{\textless}110{\textgreater}\{111\} slip is investigated based on a parametric study that provides new insights on {UO}2 plastic deformation. Several parameterizations of ½{\textless}110{\textgreater}\{111\} slip are tested highlighting the complexity of {UO}2 viscoplastic behavior. Significant improvements are still required to explain all simulation-experiment gaps.},
	journaltitle = {Journal of Nuclear Materials},
	shortjournal = {Journal of Nuclear Materials},
	author = {Portelette, Luc and Amodeo, Jonathan and Madec, Ronan and Soulacroix, Julian and Helfer, Thomas and Michel, Bruno},
	date = {2018-06-22},
	file = {Portelette et al. - 2018 - Crystal viscoplastic modeling of UO2 single crysta.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/F9F9GWWV/Portelette et al. - 2018 - Crystal viscoplastic modeling of UO2 single crysta.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/HW24Z59V/S0022311518305981.html:text/html}
}

@inproceedings{chetra_modecomportement_2017,
	location = {Giens, France},
	title = {Modèle de comportement élastoplastique adapté à la simulation numérique du soudage},
	abstract = {Nous proposons un modèle de comportement élastoplastique adapté au calcul thermomécanique à haute température, rencontré par exemple en simulation numérique du soudage. Ce modèle permet de prendre en compte la restauration d’écrouissage à l’état solide. Ce modèle a été implanté via le générateur de code {MFront}, développé par le {CEA}, et permettant en particulier l’intégration de lois de comportement dans un code de simulation numérique. Le modèle est validé sur un essai de dilatométrie bloquée (essai Satoh), en comparant les résultats numériques à des résultats expérimentaux},
	publisher = {{CSMA}},
	author = {Chetra, Wang and Sofiane, Hendili},
	date = {2017-06}
}

@thesis{shi_experimental_2018,
	title = {Experimental and numerical studies on the micromechanical crystal plasticity behavior of an {RPV} steel},
	url = {https://tel.archives-ouvertes.fr/tel-01783642/document},
	abstract = {The {PhD} project is devoted to the study of the mechanical response of the reactor pressure vessel steel A508cl3 (or 16MND5 in French nomenclature) at the microscopic scale by experimental analyses and numerical simulations. Different aspects of in-situ tests inside an {SEM} chamber have been considered. First, the characterization and corrections of bias and uncertainties of different {SEM} imaging modalities ({SE}, {BSE}, and {EBSD}) have been performed. Precise registrations of {SEM} images in different modalities have been developed in order to give a comprehensive description of the sample surface topographies. Crystallographic orientation maps (from {EBSD} analyses) are registered to measure the crystal rotation and displacement fields along the tensile test. The elastic deformations of the surface are assessed by integrated correlation of high-resolution electron diffraction images. The 3D microstructure of the analyzed sample is revealed a posteriori by combining {FIB} milling {andEBSD} images.The experimental test is also simulated by crystal plasticity calculations on a 3D mesh created according to the 3D microstructure observed in the deformed configuration. An algorithm has been proposed to estimate its initial configuration and to identify the plastic parameters iteratively. A synthetic 2D model has been used to prove its feasibility. Two crystal plasticity laws have been validated on the 3D mesh, namely dislocation dynamics for body-centered cubic crystals and a modified version of Méric-Cailletaud model. In thepresent work finite element model updating was used to provide two sets of parameters (for ferrite and bainite) for the latter law.},
	institution = {Université Paris-Saclay},
	type = {phdthesis},
	author = {Shi, Qiwei},
	urldate = {2018-06-24},
	date = {2018-04-23},
	langid = {english},
	file = {Shi - 2018 - Experimental and numerical studies on the micromec.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/9R63NG97/Shi - 2018 - Experimental and numerical studies on the micromec.pdf:application/pdf;Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/AS3M8GMB/tel-01783642.html:text/html}
}

@article{yoon_prediction_2006,
	title = {Prediction of six or eight ears in a drawn cup based on a new anisotropic yield function},
	volume = {22},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S074964190500063X},
	doi = {10.1016/j.ijplas.2005.03.013},
	abstract = {In this work, the recently proposed anisotropic yield function, Yld2004-18p [Barlat, F., Aretz, H., Yoon, J.W., Karabin, M.E., Brem, J.C., Dick, R.E., 2005. Linear transformation based anisotropic yield function, Int. J. Plasticity 21, 1009], is implemented in a finite element ({FE}) code for application to the cup drawing simulation of a circular blank sheet. A short review of the Yld2004-18p relevant features is provided and the stress integration scheme for its implementation in {FE} codes is described. The simulation of the drawing process is conducted for an aluminum alloy sheet sample ({AA}2090-T3). The predicted and experimental cup height profiles (earing profiles) with six ears are shown to be in excellent agreement. Additional simulations on a ficticious material are performed in order to show that the yield function Yld2004-18p can lead to the prediction of cups with eight ears. In order to achieve these results, a sufficient number of input data are required to calculate the yield function coefficients. Finally, a simplified analytical approach that relates the earing profile to the r-value directionality is also presented in this paper. It is shown that this approach can be very useful as a first approximation of the earing profile of drawn cups.},
	pages = {174--193},
	number = {1},
	journaltitle = {International Journal of Plasticity},
	shortjournal = {International Journal of Plasticity},
	author = {Yoon, J. W. and Barlat, F. and Dick, R. E. and Karabin, M. E.},
	date = {2006-01-01},
	keywords = {Aluminum alloy, Anisotropy, Earing, Finite element method, Sheet forming, Yield function},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/C2AWDBAR/S074964190500063X.html:text/html}
}

@incollection{chaboche_endommagement_2001,
	location = {Lalonde},
	edition = {Hermes Science Publications},
	title = {Endommagement et changement d’échelle},
	volume = {2},
	url = {http://www.lma.cnrs-mrs.fr/sites/www.lma.cnrs-mrs.fr/IMG/pdf/lalonde_tome2_endo.pdf},
	volumes = {2},
	pages = {91--146},
	booktitle = {Homogénéisation en Mécanique des Matériaux,},
	publisher = {M. Bornert, T. Bretheau et P. Gilormini},
	author = {Chaboche, Jean-Louis and Suquet, Pierre and Besson, Jacques},
	date = {2001}
}

@book{bornert_homogeneisation_2001,
	title = {Homogénéisation en mécanique des matériaux, Tome 2 : Comportements non linéaires et problèmes ouverts},
	url = {https://hal.archives-ouvertes.fr/hal-00112721},
	shorttitle = {Homogénéisation en mécanique des matériaux, Tome 2},
	pagetotal = {250 pages},
	publisher = {Hermes science},
	author = {Bornert, Michel and Bretheau, T. and Gilormini, P.},
	date = {2001},
	file = {HAL Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/CCN9EGFU/hal-00112721.html:text/html}
}

@unpublished{abbas_hybrid_2018_2,
	title = {A Hybrid High-Order method for incremental associative plasticity with small deformations},
	url = {https://hal.archives-ouvertes.fr/hal-01768411},
	abstract = {We devise and evaluate numerically a Hybrid High-Order ({HHO}) method for incremental associative plasticity with small deformations. The {HHO} method uses as discrete unknowns piecewise polynomials of order k ≥ 1 on the mesh skeleton, together with cell-based poly-nomials that can be eliminated locally by static condensation. The {HHO} method supports polyhedral meshes with non-matching interfaces, is free of volumetric-locking and the integration of the behavior law is performed only at cell-based quadrature nodes. Moreover, the principle of virtual work is satisfied locally with equilibrated tractions. Various two-and three-dimensional test cases from the literature are presented including comparison against known solutions and against results obtained with an industrial software using conforming and mixed finite elements.},
	author = {Abbas, Mickaël and Ern, Alexandre and Pignet, Nicolas},
	date = {2018-04},
	keywords = {Associative Plasticity, Hybrid High-Order methods, Polyhedral meshes 1},
	file = {Abbas et al. - 2018 - A Hybrid High-Order method for incremental associa.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/C78MIZMV/Abbas et al. - 2018 - A Hybrid High-Order method for incremental associa.pdf:application/pdf}
}

@report{carre_implementation_2017,
	title = {Implementation of a large elasto-plastic strain formalism in an industrial finite element code},
	url = {http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-214997},
	abstract = {{DiVA} portal is a finding tool for research publications and student theses written at the following 47 universities and research institutions.},
	institution = {{KTH}, School of Engineering Sciences ({SCI}), Aeronautical and Vehicle Engineering, Flight Dynamics},
	type = {Master thesis},
	author = {Carré, Romain},
	urldate = {2018-05-21},
	date = {2017},
	file = {Carré - 2017 - Implementation of a large elasto-plastic strain fo.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/6XZH6VHB/Carré - 2017 - Implementation of a large elasto-plastic strain fo.pdf:application/pdf;Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/I4APUHWD/record.html:text/html}
}

@article{cazacu_criterion_2004,
	title = {A criterion for description of anisotropy and yield differential effects in pressure-insensitive metals},
	volume = {20},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S0749641904000348},
	doi = {10.1016/j.ijplas.2003.11.021},
	series = {Daniel C. Drucker Memorial Issue},
	abstract = {This paper is devoted to modeling the asymmetry and anisotropy in yielding of pressure insensitive metals. First, a new isotropic yield criterion with threefold rotational symmetry about the origin is proposed. This criterion is an odd function in the principal values of the stress deviator. It involves only one parameter that is expressible in terms of the yield strengths in compression and tension. Comparisons with the results of polycrystalline simulations performed by Hosford and Allen [Met. Trans. 4 (1973) 1424–1425] show that the proposed macroscopic criterion describes very well the asymmetry in yielding due to activation of twinning. Further, the extension of this isotropic criterion to orthotropy is developed. The proposed anisotropic criterion is applied to the description of the plastic response of hexagonal close packed (hcp) materials. It is shown that the proposed anisotropic criterion reproduces with great accuracy both the higher strength in tension than in compression and the higher tensile strength in the transverse direction than in the rolling direction observed in textured magnesium and magnesium alloys sheets (data after Kelly and Hosford [Trans. {TMS}-{AIME} 242 (1968) 654–661]).},
	pages = {2027--2045},
	number = {11},
	journaltitle = {International Journal of Plasticity},
	shortjournal = {International Journal of Plasticity},
	author = {Cazacu, Oana and Barlat, Frédéric},
	date = {2004-11-01},
	keywords = {Anisotropic yielding, Generalized invariants, hcp materials, Twinning, Yielding asymmetry},
	file = {Cazacu et Barlat - 2004 - A criterion for description of anisotropy and yiel.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/FPESV7Z9/Cazacu et Barlat - 2004 - A criterion for description of anisotropy and yiel.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/IJ2E8CN7/S0749641904000348.html:text/html}
}

@article{chaboche_cyclic_2012,
	title = {Cyclic inelastic constitutive equations and their impact on the fatigue life predictions},
	volume = {35},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S0749641912000113},
	doi = {10.1016/j.ijplas.2012.01.010},
	abstract = {Cyclic plasticity and viscoplasticity constitutive equations are revisited in the context of fatigue life analysis of components submitted to small strain amplitudes but high strain ratio. The model used is based on a series of back stresses, each of them containing a threshold in the dynamic recovery term. Capability to correctly reproduce the cyclic softening and the limited mean stress relaxation is particularly examined, with the help of analytical solutions for uniaxial conditions. Comparisons are made with available experimental data on a Titanium alloy and a Nickel base superalloy, both in terms of the stabilized mean stresses and for the corresponding fatigue life prediction.},
	pages = {44--66},
	journaltitle = {International Journal of Plasticity},
	shortjournal = {International Journal of Plasticity},
	author = {Chaboche, J. -L. and Kanouté, P. and Azzouz, F.},
	date = {2012-08-01},
	keywords = {A. Cyclic softening, A. Fatigue, B. Constitutive behaviour, B. Cyclic loading, B. Elastic plastic},
	file = {Chaboche et al. - 2012 - Cyclic inelastic constitutive equations and their .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/CR4ZPAPN/Chaboche et al. - 2012 - Cyclic inelastic constitutive equations and their .pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/TXN2SG5H/S0749641912000113.html:text/html}
}

@book{lemaitre_engineering_2005,
	location = {Berlin Heidelberg},
	title = {Engineering Damage Mechanics: Ductile, Creep, Fatigue and Brittle Failures},
	isbn = {978-3-540-21503-5},
	url = {//www.springer.com/us/book/9783540215035},
	shorttitle = {Engineering Damage Mechanics},
	abstract = {Engineering Damage Mechanics is deliberately oriented toward applications of Continuum Damage Mechanics to failures of mechanical and civil engineering components in ductile, creep, fatigue and brittle conditions depending upon the thermomechanical loading and the materials: metals and alloys, polymers, elastomers, composites, concretes. Nevertheless, to help engineers, researchers, beginners or not, the first two chapters are devoted to the main concepts of damage mechanics and to the associated computational tools.},
	publisher = {Springer-Verlag},
	author = {Lemaitre, Jean and Desmorat, Rodrigue},
	urldate = {2018-04-30},
	date = {2005},
	langid = {english},
	file = {Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/38EW99KZ/9783540215035.html:text/html}
}

@book{besson_non-linear_2009,
	location = {Dordrecht},
	edition = {2010 ed.},
	title = {Non-Linear Mechanics of Materials},
	isbn = {978-90-481-3355-0},
	abstract = {--Ce texte fait référence à l'édition Broché.},
	pagetotal = {451},
	publisher = {Springer},
	author = {Besson, Jacques and Cailletaud, Georges and Chaboche, Jean-Louis and Forest, Samuel and Bletry, Marc},
	date = {2009}
}

@article{abbas_hybrid_2018,
	title = {Hybrid High-Order methods for finite deformations of hyperelastic materials},
	issn = {0178-7675, 1432-0924},
	url = {https://link.springer.com/article/10.1007/s00466-018-1538-0},
	doi = {10.1007/s00466-018-1538-0},
	abstract = {We devise and evaluate numerically Hybrid High-Order ({HHO}) methods for hyperelastic materials undergoing finite deformations. The {HHO} methods use as discrete unknowns piecewise polynomials of order k≥1k≥1k{\textbackslash}ge 1 on the mesh skeleton, together with cell-based polynomials that can be eliminated locally by static condensation. The discrete problem is written as the minimization of a broken nonlinear elastic energy where a local reconstruction of the displacement gradient is used. Two {HHO} methods are considered: a stabilized method where the gradient is reconstructed as a tensor-valued polynomial of order k and a stabilization is added to the discrete energy functional, and an unstabilized method which reconstructs a stable higher-order gradient and circumvents the need for stabilization. Both methods satisfy the principle of virtual work locally with equilibrated tractions. We present a numerical study of the two {HHO} methods on test cases with known solution and on more challenging three-dimensional test cases including finite deformations with strong shear layers and cavitating voids. We assess the computational efficiency of both methods, and we compare our results to those obtained with an industrial software using conforming finite elements and to results from the literature. The two {HHO} methods exhibit robust behavior in the quasi-incompressible regime.},
	pages = {1--20},
	journaltitle = {Computational Mechanics},
	shortjournal = {Comput Mech},
	author = {Abbas, Mickaël and Ern, Alexandre and Pignet, Nicolas},
	urldate = {2018-04-24},
	date = {2018-01-20},
	langid = {english},
	file = {Abbas et al. - 2018 - Hybrid High-Order methods for finite deformations .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7CK9NNIR/Abbas et al. - 2018 - Hybrid High-Order methods for finite deformations .pdf:application/pdf;Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/K58QM3J8/10.html:text/html}
}
@inproceedings{burlet_modelling_1987,
	location = {Tucson, {AZ}},
	title = {Modelling of cyclic plasticity in finite element codes},
	booktitle = {Proceedings of 2nd International Conference on Constitutive laws for Engineering Materials; Theory and Application},
	author = {Burlet, Hélène and Cailletaud, Georges},
	date = {1987},
	file = {Burlet et Cailletaud - 1987 - Burlet, H. and Cailletaud, G..pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/I4GPMI3W/Burlet et Cailletaud - 1987 - Burlet, H. and Cailletaud, G..pdf:application/pdf}
}

@report{armstrong_mathematical_1966,
	title = {A mathematical representation of the multiaxial Bauschinger effect},
	number = {{RD}/{BfN} 731},
	institution = {Central Electricity Generating Board},
	author = {Armstrong, P.J. and Frederick, C.O.},
	date = {1966},
	file = {Armstrong et Frederick - 1966 - A mathematical representation of the multiaxial Ba.doc:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/FHVSN98S/Armstrong et Frederick - 1966 - A mathematical representation of the multiaxial Ba.doc:application/msword}
}

@article{barrioz_void_2018,
	title = {Void growth and coalescence in irradiated copper under deformation},
	volume = {502},
	issn = {0022-3115},
	url = {http://www.sciencedirect.com/science/article/pii/S002231151731574X},
	doi = {10.1016/j.jnucmat.2018.01.064},
	abstract = {A decrease of fracture toughness of irradiated materials is usually observed, as reported for austenitic stainless steels in Light Water Reactors ({LWRs}) or copper alloys for fusion applications. For a wide range of applications (e.g. structural steels irradiated at low homologous temperature), void growth and coalescence fracture mechanism has been shown to be still predominant. As a consequence, a comprehensive study of the effects of irradiation-induced hardening mechanisms on void growth and coalescence in irradiated materials is required. The effects of irradiation on ductile fracture mechanisms - void growth to coalescence - are assessed in this study based on model experiments. Pure copper thin tensile samples have been irradiated with protons up to 0.01 dpa. Micron-scale holes drilled through the thickness of these samples subjected to uniaxial loading conditions allow a detailed description of void growth and coalescence. In this study, experimental data show that physical mechanisms of micron-scale void growth and coalescence are similar between the unirradiated and irradiated copper. However, an acceleration of void growth is observed in the later case, resulting in earlier coalescence, which is consistent with the decrease of fracture toughness reported in irradiated materials. These results are qualitatively reproduced with numerical simulations accounting for irradiation macroscopic hardening and decrease of strain-hardening capability.},
	pages = {123--131},
	journaltitle = {Journal of Nuclear Materials},
	shortjournal = {Journal of Nuclear Materials},
	author = {Barrioz, P. O. and Hure, J. and Tanguy, B.},
	date = {2018-04-15},
	keywords = {Coalescence, Copper, Ductile fracture, Irradiation, Void growth},
	file = {Barrioz et al. - 2018 - Void growth and coalescence in irradiated copper u.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/DMC2VTF9/Barrioz et al. - 2018 - Void growth and coalescence in irradiated copper u.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/PA5KKP7P/S002231151731574X.html:text/html}
}
@article{torelli_confinement-dependent_2018,
	title = {A confinement-dependent load-induced thermal strain constitutive model for concrete subjected to temperatures up to 500 °C},
	issn = {0020-7403},
	url = {http://www.sciencedirect.com/science/article/pii/S0020740317337372},
	doi = {10.1016/j.ijmecsci.2017.12.054},
	abstract = {This paper proves that, given a Load-Induced Thermal Strain ({LITS}) curve able to accurately describe the uniaxial {LITS} development for a specific type of concrete and temperatures up to 500 °C, a more accurate prediction of the 3D {LITS} state is obtained through a confinement-dependent 3D implementation than through the classic confinement-independent approach. In particular, a new model is presented, obtained by extending to 3D a fourth order polynomial {LITS} derivative function in a way that allows the effects of the stress confinement to be taken into account. For comparison purposes, the same fourth order polynomial {LITS} derivative function is also implemented in 3D through the classic confinement-independent modelling approach. These constitutive relationships are adopted to model transient experiments performed on concrete subjected to constant uniaxial and biaxial compressive loads. The results show that the confinement-dependent modelling approach gives a better prediction of the {LITS} state developing in the case of biaxial compression than the classic confinement-independent approach. Finally, the validated confinement-dependent model is applied to evaluate the {LITS}-related stress redistribution taking place in a typical Prestressed Concrete Pressure Vessel ({PCPV}) subjected to heating to 500 °C and cooling back to the normal operating temperature of 50 °C. It is found that including the effects of three dimensional {LITS} behaviour has significant effects on the predicted stress states.},
	journaltitle = {International Journal of Mechanical Sciences},
	shortjournal = {International Journal of Mechanical Sciences},
	author = {Torelli, Giacomo and Mandal, Parthasarathi and Gillie, Martin and Tran, Van-Xuan},
	date = {2018-01-04},
	keywords = {Concrete, Fire, {LITS}, Load-induced thermal strain, Stress confinement, Temperature, Transient thermal creep},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/JGMVGDZ9/S0020740317337372.html:text/html;Torelli et al. - 2018 - A confinement-dependent load-induced thermal strai.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/GGDCZHBG/Torelli et al. - 2018 - A confinement-dependent load-induced thermal strai.pdf:application/pdf}
}

@article{barlat_linear_2007,
	title = {On linear transformations of stress tensors for the description of plastic anisotropy},
	volume = {23},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S0749641906001288},
	doi = {10.1016/j.ijplas.2006.10.001},
	abstract = {The derivation of anisotropic yield functions
                  based on the approach of linear transformations of a
                  stress tensor is investigated for general and plane
                  stress states. The number of coefficients available
                  for the description of plastic anisotropy is
                  discussed. A few specific yield functions are given
                  to illustrate the concept. Among these examples, a
                  plane stress formulation is described in more
                  detail, namely, Yld2000-2d [Barlat, F., Brem, J.C.,
                  Yoon, J.W., Dick, R.E., Choi, S.H., Chung, K., Lege,
                  D.J., 2000. Constitutive modeling for aluminum sheet
                  forming simulations. In: Khan, A.S, Zhang, H., Yuan,
                  Y. (Eds.), Plastic and Viscoplastic Response of
                  Materials and Metal Forming, Proceedings of the 8th
                  International Symposium on Plasticity and its
                  Current Applications, Whistler, Canada, July
                  2000. Neat Press, Fulton, {MD}, pp. 591–593; Barlat,
                  F., Brem, J.C., Yoon, J.W., Chung, K., Dick, R.E.,
                  Lege, D.J., Pourboghrat, F., Choi, S.-H., Chu, E.,
                  2003. Plane stress yield function for aluminum alloy
                  sheets – Part I: theory. Int. J. Plasticity 19,
                  1297–1319; Yoon, J.W., Barlat, F., Dick, R.E.,
                  2000. Sheet metal forming simulation for aluminum
                  alloy sheets. In: Sheet Metal Forming Simulation:
                  Sing-Tang 65th Anniversary Volume, {SAE} paper
                  2000-01-0774, Society of Automotive Engineer, {SAE},
                  pp. 67–72]. It is shown that other recently
                  published anisotropic yield functions are, in fact,
                  Yld2000-2d presented in different forms.},
	pages = {876--896},
	number = {5},
	journaltitle = {International Journal of Plasticity},
	shortjournal = {International Journal of Plasticity},
	author = {Barlat, Frédéric and Yoon, Jeong Whan and Cazacu, Oana},
	date = {2007-05-01},
	keywords = {Analytic function, Anisotropic material, Constitutive behavior, Yield condition},
	file = {Barlat et al. - 2007 - On linear transformations of stress tensors for th.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/I74IG5AA/Barlat et al. - 2007 - On linear transformations of stress tensors for th.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/Q33HAJHB/S0749641906001288.html:text/html}
}

@article{drucker_relation_1949,
	title = {Relation of experiments to mathematical theories of
                  plasticity},
	pages = {349--357},
	number = {16},
	journaltitle = {Journal of Applied Mechanics},
	author = {Drucker, Daniel Charles},
	date = {1949}
}

@article{cazacu_generalization_2001,
	title = {Generalization of Drucker's Yield Criterion to Orthotropy},
	volume = {6},
	issn = {1081-2865},
	url = {https://doi.org/10.1177/108128650100600603},
	doi = {10.1177/108128650100600603},
	abstract = {Within the framework of the theory of representation, generalizations to anisotropic conditions of the invariants of the deviatoric stress are proposed. Using these generalized invariants, any isotropic yield criterion can be extended such as to describe any type of material symmetry. In this paper, we apply this method to extend to orthotropy Drucker's isotropic criterion. Comparison with data on aluminum alloys show that this new criterion describes with improved accuracy the anisotropy of the plastic response.},
	pages = {613--630},
	number = {6},
	journaltitle = {Mathematics and Mechanics of Solids},
	shortjournal = {Mathematics and Mechanics of Solids},
	author = {Cazacu, Oana and Barlat, Frédéric},
	date = {2001-12-01},
	langid = {english},
	file = {Cazacu et Barlat - 2001 - Generalization of Drucker's Yield Criterion to Ort.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/RNHMH8TB/Cazacu et Barlat - 2001 - Generalization of Drucker's Yield Criterion to Ort.pdf:application/pdf}
}

@article{guenot-delahaie_simulation_2018,
	title = {Simulation of reactivity-initiated accident transients on {UO}2-M5® fuel rods with {ALCYONE} V1.4 fuel performance code},
	volume = {50},
	issn = {1738-5733},
	url = {http://www.sciencedirect.com/science/article/pii/S1738573317307222},
	doi = {10.1016/j.net.2017.12.006},
	series = {Special issue on the water reactor fuel performance meeting 2017 ({WRFPM} 2017)},
	abstract = {The {ALCYONE} multidimensional fuel performance code codeveloped by the {CEA}, {EDF}, and {AREVA} {NP} within the {PLEIADES} software environment models the behavior of fuel rods during irradiation in commercial pressurized water reactors ({PWRs}), power ramps in experimental reactors, or accidental conditions such as loss of coolant accidents or reactivity-initiated accidents ({RIAs}). As regards the latter case of transient in particular, {ALCYONE} is intended to predictively simulate the response of a fuel rod by taking account of mechanisms in a way that models the physics as closely as possible, encompassing all possible stages of the transient as well as various fuel/cladding material types and irradiation conditions of interest. On the way to complying with these objectives, {ALCYONE} development and validation shall include tests on {PWR}-{UO}2 fuel rods with advanced claddings such as M5® under “low pressure–low temperature” or “high pressure–high temperature” water coolant conditions. This article first presents {ALCYONE} V1.4 {RIA}-related features and modeling. It especially focuses on recent developments dedicated on the one hand to nonsteady water heat and mass transport and on the other hand to the modeling of grain boundary cracking-induced fission gas release and swelling. This article then compares some simulations of {RIA} transients performed on {UO}2-M5® fuel rods in flowing sodium or stagnant water coolant conditions to the relevant experimental results gained from tests performed in either the French {CABRI} or the Japanese {NSRR} nuclear transient reactor facilities. It shows in particular to what extent {ALCYONE}—starting from base irradiation conditions it itself computes—is currently able to handle both the first stage of the transient, namely the pellet-cladding mechanical interaction phase, and the second stage of the transient, should a boiling crisis occur. Areas of improvement are finally discussed with a view to simulating and analyzing further tests to be performed under prototypical {PWR} conditions within the {CABRI} International Program. M5® is a trademark or a registered trademark of {AREVA} {NP} in the {USA} or other countries.},
	pages = {268--279},
	number = {2},
	journaltitle = {Nuclear Engineering and Technology},
	shortjournal = {Nuclear Engineering and Technology},
	author = {Guénot-Delahaie, Isabelle and Sercombe, Jérôme and Helfer, Thomas and Goldbronn, Patrick and Fédérici, Éric and Le Jolu, Thomas and Parrot, Aurore and Delafoy, Christine and Bernaudat, Christian},
	date = {2018-03-01},
	keywords = {{ALCYONE} code, M5®, Nuclear fuel, Pressurized water reactor, Reactivity-initiated Accident, {UO}},
	file = {Guénot-Delahaie et al. - 2018 - Simulation of reactivity-initiated accident transi.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/BM68UH89/Guénot-Delahaie et al. - 2018 - Simulation of reactivity-initiated accident transi.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/999A7RB8/S1738573317307222.html:text/html}
}

@inreference{wikipedia_von_Mises_2017,
	title = {von Mises yield criterion},
	rights = {Creative Commons Attribution-{ShareAlike} License},
	url = {https://en.wikipedia.org/w/index.php?title=Von_Mises_yield_criterion&oldid=812733048},
	booktitle = {Wikipedia},
	date = {2017-11-29},
	langid = {english},
	note = {Page Version {ID}: 812733048},
	file = {Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/RW7ZGDME/index.html:text/html}
}

@inreference{wikipedia_invariants_2017,
	title = {Invariants of tensors},
	rights = {Creative Commons Attribution-{ShareAlike} License},
	url = {https://en.wikipedia.org/w/index.php?title=Invariants_of_tensors&oldid=813063385},
	booktitle = {Wikipedia},
	date = {2017-12-01},
	langid = {english},
	note = {Page Version {ID}: 813063385},
	file = {Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7CUZIX7S/index.html:text/html}
}

@article{jezequel_new_2010,
	title = {A new version of the {CADNA} library for estimating round-off error propagation in Fortran programs},
	volume = {181},
	pages = {1927--1928},
	number = {11},
	journaltitle = {Computer Physics Communications},
	author = {Jézéquel, F. and Chesneaux, J.-M. and Lamotte, J.-L.},
	date = {2010}
}

@article{lamotte_cadna_c:_2010,
	title = {{CADNA}\_C: A version of {CADNA} for use with C or C++ programs},
	volume = {181},
	pages = {1925--1926},
	number = {11},
	journaltitle = {Computer Physics Communications},
	author = {Lamotte, J.-L. and Chesneaux, J.-M. and Jézéquel, F.},
	date = {2010}
}

@article{scott_numerical_2007,
	title = {Numerical 'health check' for scientific codes: the {CADNA} approach},
	volume = {176},
	pages = {507--521},
	number = {8},
	journaltitle = {Computer Physics Communications},
	author = {Scott, N.S. and Jézéquel, F. and Denis, C. and Chesneaux, J.-M.},
	date = {2007-04}
}

@unpublished{universite_pierre_et_marie_curie_cadna:_,
	title = {{CADNA}: Control of Accuracy and Debugging for Numerical Applications},
	url = {http://www.lip6.fr/cadna},
	author = {Université Pierre et Marie Curie, Paris, France},
	date = {2017}
}

@unpublished{fevotte_verrou:_2016,
	title = {{VERROU}: Assessing Floating-Point Accuracy Without Recompiling},
	url = {https://hal.archives-ouvertes.fr/hal-01383417/},
	abstract = {As an industrial facility relying on numerical simulation to improve the safety and efficiency of its electricity production units, {EDF} is committed to ensure that all the numerical simulation codes it develops and uses are correctly validated and verified. Within this context, the accuracy of floating-point operations has progressively become one of the important topics to study, especially since computing codes are exploited on ever more powerful hardware to solve ever larger problems. The Verification and Validation (V\&V) process should therefore include the monitoring of inaccuracies introduced by floating-point arithmetic, as well as the verification that they are kept within acceptable limits. In this paper, we present the verrou tool, a valgrind-based system which uses Monte Carlo Arithmetic ({MCA}) to monitor the accuracy of floating-point operations without needing to instrument the source code or even recompile it. This tool is therefore well-suited to be part of an industrial V\&V process. It has been successfully tested both on small-scale, well understood numerical applications, and on large-scale, more complex industrial computing codes.},
	author = {Févotte, François and Lathuilière, Bruno},
	date = {2016}
}

@article{fritzen_computational_2013,
	title = {Computational homogenization of porous materials of Green type},
	volume = {52},
	issn = {0178-7675, 1432-0924},
	url = {https://link.springer.com/article/10.1007/s00466-012-0801-z},
	doi = {10.1007/s00466-012-0801-z},
	abstract = {The constitutive response of porous materials is investigated computationally. For the solid phase elasto- plastic behavior of Green type is considered, i.e. an isotropic compressible yield criterion is assumed. A wide range of material parameters and porosities from 0.1 to 30 \% are investigated by means of {FEM} simulations of periodic ensembles of spherical pores. The dilatation of the pores and of the compressible matrix are evaluated. It is found that a large part of the total dilatation is due to plastic volume changes of the solid phase. The asymptotic stress states of the simulations are compared to analytical predictions by Shen et al. (Comput Mater Sci 62:189–194, 2012). Based on the computational data, an effective constitutive law is proposed and verified by means of additional computations. A three-scale homogenization procedure for double porous materials is proposed that depends only on the micro- and mesoscale porosity and the yield stress of the solid phase.},
	pages = {121--134},
	number = {1},
	journaltitle = {Computational Mechanics},
	shortjournal = {Comput Mech},
	author = {Fritzen, Felix and Forest, Samuel and Kondo, Djimedo and Böhlke, Thomas},
	urldate = {2017-11-30},
	date = {2013-07-01},
	langid = {english},
	file = {Fritzen et al. - 2013 - Computational homogenization of porous materials o.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/VW86WPZU/Fritzen et al. - 2013 - Computational homogenization of porous materials o.pdf:application/pdf;Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/4KWD2Q2S/s00466-012-0801-z.html:text/html}
}

@article{scherzinger_return_2017,
	title = {A return mapping algorithm for isotropic and anisotropic plasticity models using a line search method},
	volume = {317},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/S004578251630370X},
	doi = {10.1016/j.cma.2016.11.026},
	abstract = {The numerical integration of constitutive models in computational solid mechanics codes allows for the solution of boundary value problems involving complex material behavior. Metal plasticity models, in particular, have been instrumental in the development of these codes. Most plasticity models implemented in computational codes use an isotropic von Mises yield surface. The von Mises, or J2, model uses a predictor–corrector algorithm–the radial return algorithm–to integrate the model. For non-quadratic yield surfaces, including anisotropic yield surfaces, no simple algorithm exists. This paper presents and analyzes a line search algorithm for the return mapping problem that shows excellent improvement over a Newton–Raphson model. Two non-quadratic yield surfaces–one isotropic and one anisotropic–are studied in this paper. The line search algorithm used for integrating the models is shown to be reliable and robust. The theory and implementation of the models, the details of the return mapping algorithm, and results that show the effectiveness of the method are presented. Finally, a few simple boundary value problems verify the implementation and show the impact of the models. For the internal pressurization of a cylinder, the importance of modeling anisotropy correctly is shown.},
	pages = {526--553},
	journaltitle = {Computer Methods in Applied Mechanics and Engineering},
	shortjournal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Scherzinger, W. M.},
	date = {2017-04-15},
	keywords = {Anisotropy, Line search, Plasticity, Return mapping},
	file = {Scherzinger - 2017 - A return mapping algorithm for isotropic and aniso.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7WKKJSRD/Scherzinger - 2017 - A return mapping algorithm for isotropic and aniso.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/JK8VSUF8/S004578251630370X.html:text/html}
}

@article{barlat_linear_2005,
	title = {Linear transfomation-based anisotropic yield functions},
	volume = {21},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S0749641904001160},
	doi = {10.1016/j.ijplas.2004.06.004},
	abstract = {In this paper, anisotropic yield functions based on linear transformations of the stress deviator are discussed in general terms. Two specific convex formulations are proposed to describe the anisotropic behavior of metals and alloys for a full stress state (3D). The type of input data recommended for the description of plastic anisotropy in sheet samples is discussed. The two formulations are shown to be suitable constitutive models for 6111-T4 and 2090-T3 aluminum alloy sheet samples.},
	pages = {1009--1039},
	number = {5},
	journaltitle = {International Journal of Plasticity},
	shortjournal = {International Journal of Plasticity},
	author = {Barlat, F. and Aretz, H. and Yoon, J. W. and Karabin, M. E. and Brem, J. C. and Dick, R. E.},
	date = {2005-05-01},
	keywords = {Anisotropic material, Constitutive behaviour, Mechanical testing, Metallic material, Polycrystalline material},
	file = {Barlat et al. - 2005 - Linear transfomation-based anisotropic yield funct.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/M2KIGRU9/Barlat et al. - 2005 - Linear transfomation-based anisotropic yield funct.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/RVCH8F4G/S0749641904001160.html:text/html}
}

@article{hosford_generalized_1972,
	title = {A generalized isotropic yield criterion},
	volume = {39},
	pages = {607--609},
	number = {2},
	journaltitle = {Journal of Applied Mechanics},
	author = {Hosford, W. F.},
	date = {1972}
}

@report{huang_user-material_1991,
	location = {Cambridge, Massachusett},
	title = {A User-Material Subroutine Incorporating Single Crystal Plasticity in the {ABAQUS} Finite Element Program},
	url = {http://www.columbia.edu/~jk2079/fem/umat_documentation.pdf},
	abstract = {A user-material subroutine has been written to incorporate single crystal plasticity in the finite element program {ABAQUS}. The finite-element formulation of elastic-plastic and viscoplastic single crystal deformation is reviewed in this paper. including versions for small deformation theory and for the rigorous theory of finite-strain and fiite-rotation. Inelastic deformation of a single crystal arises from crystalline slip, which is assumed here to obey the Schmid law. Various self and latent hardening relations between resolved shear stress and shear strain in slip systems are presented and incorporated as options in the subroutine.},
	number = {Report Mech-178},
	institution = {Division of Engineering and Applied Science, Harvard University},
	type = {Division of Engineering and Applied Science},
	author = {Huang, Yonggang},
	date = {1991}
}

@article{michel_new_2017,
	title = {A new numerical methodology for simulation of unstable crack growth in time independent brittle materials},
	issn = {0013-7944},
	url = {http://www.sciencedirect.com/science/article/pii/S001379441630412X},
	doi = {10.1016/j.engfracmech.2017.08.009},
	abstract = {This paper focuses on a new algorithm for the quasi-static simulation of unstable crack propagation in time-independent brittle material. The proposed approach is based on a combination of the standard Newton’s algorithm with a fictive path loading algorithm. First, a time step refinement process, associated to the Newton’s algorithm, enables us to efficiently detect the beginning of unstable crack extension. Then, a fictive path loading algorithm is performed to assess an estimation of the post instability solution. Finally, this estimated solution is used as initial guess in the standard Newton’s algorithm for the same time increment. The final converged solution satisfies both the mechanical equilibrium and the mechanical behaviour integration. This paper highlights several advantages of the proposed algorithm such as robustness, easy implementation on an existing Newton’s type solver, genericity for different unstable nonlinear physical problems. An application of this new method is presented for a smeared crack model, based on a local continuous damage formulation, devoted to the simulation of brittle nuclear fuel rupture. The efficiency of the proposed algorithm is demonstrated through a set of 2d and 3d simulation results.},
	journaltitle = {Engineering Fracture Mechanics},
	shortjournal = {Engineering Fracture Mechanics},
	author = {Michel, B. and Helfer, T. and Ramière, I. and Esnoul, C.},
	date = {2017-08-12},
	file = {Michel et al. - 2017 - A new numerical methodology for simulation of unst.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/9ZBC5S26/Michel et al. - 2017 - A new numerical methodology for simulation of unst.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/889RGA4U/S001379441630412X.html:text/html}
}

@misc{numodis_site_2017,
	title = {{NUMODIS project: Numerical Modelling of Dislocations}},
	url = {http://www.numodis.fr/},
	author = {CEA},
	year = {2017}
}

@article{madec_dislocation_2017,
	title = {Dislocation strengthening in {FCC} metals and in {BCC} metals at high temperatures},
	volume = {126},
	issn = {1359-6454},
	url = {http://www.sciencedirect.com/science/article/pii/S1359645416309764},
	doi = {10.1016/j.actamat.2016.12.040},
	abstract = {Till now, it was widely believed that the dislocation strengthening coefficients used in the Taylor-like relation were universal for a given crystallographic class of materials. In the present study, it is shown that this is actually untrue because of two effects that influence the strength of interactions between slip systems, namely the value of the Poisson ratio and the occurrence of doubly degenerated, asymmetric, junction configurations. New strengthening coefficient values for reactions between slip systems were determined using dislocation dynamics simulations on five representative {FCC} metals, plus germanium, and on five {BCC} transition metals for \{110\} and \{112\} slip systems at high homologous temperatures. The value of the Poisson ratio affects all the strengthening coefficients to various extents ranging from small to substantial. The effects of configuration asymmetry and Poisson's ratio are more marked in {BCC} metals than in {FCC} metals. These two major effects arise from a number of concurring dislocation mechanisms, which are discussed in some detail. It is expected that the use of accurate material-dependent coefficients will notably improve the predictive ability of current models for strain hardening.},
	pages = {166--173},
	journaltitle = {Acta Materialia},
	shortjournal = {Acta Materialia},
	author = {Madec, Ronan and Kubin, Ladislas P.},
	date = {2017-03-01},
	keywords = {{BCC} metals, Dislocation dynamics simulations, Dislocation strengthening, {FCC} metals, Slip systems interactions},
	file = {Madec et Kubin - 2017 - Dislocation strengthening in FCC metals and in BCC.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/BHZRUEPS/Madec et Kubin - 2017 - Dislocation strengthening in FCC metals and in BCC.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/MZFA85JJ/S1359645416309764.html:text/html}
}

@unpublished{seck_three_2016,
	location = {Montpellier, France},
	title = {Three scales simulations of {MOX} fuel rods behavior under irradiation},
	type = {Poster},
	howpublished = {Poster},
	note = {Nuclear Material Conference},
	author = {Seck, Mohamed El Bachir and Masson, Renaud and Bouloré, Antoine and Blanc, Victor and Noirot, Laurence and Largenton, Rodrigue and Garajeu, Mihail},
	date = {2016-11}
}

@article{bary_analytical_2017,
	title = {Analytical and 3D numerical analysis of the thermoviscoelastic behavior of concrete-like materials including interfaces},
	volume = {112},
	issn = {0965-9978},
	url = {http://www.sciencedirect.com/science/article/pii/S0965997816305452},
	doi = {10.1016/j.advengsoft.2017.06.006},
	abstract = {We investigate in this paper analytically and numerically by means of 3D simulations the viscoelastic behavior of concrete and mortar subjected to creep loading and moderate temperatures at mesoscale. These heterogeneous materials are assumed to be composed of thermoelastic aggregates distributed in a linear thermoviscoelastic matrix; moreover, the Interfacial Transition Zones ({ITZ}) between aggregates and matrix, whose behavior is also considered as linear thermoviscoelastic, are explicitly introduced. The numerical specimens consist in unstructured periodic meshes containing polyhedral aggregates with various size and shapes randomly distributed in a box. Zero-thickness interface finite elements are introduced between aggregates and matrix to model the {ITZ}. Macroscopic response and averaged stresses and strains in the matrix and aggregate phases are compared to analytical estimations obtained with classical mean-field approximation schemes applied in the Laplace–Carson space, in which the {ITZ} are introduced via imperfect interfaces modeled with the Linear Spring Model ({LSM}). The effects of {ITZ} thickness, aggregate shape and uniform temperature increase are then studied to evaluate their respective influence on the local and macroscopic creep behavior of mortar and concrete. Globally, it is found that the model response is in relatively good agreement with numerical simulations results, and that as expected while the {ITZ} do not affect significantly the concrete behavior, they have a non-negligible impact on the mortar one.},
	pages = {16--30},
	journaltitle = {Advances in Engineering Software},
	shortjournal = {Advances in Engineering Software},
	author = {Bary, Benoit and Bourcier, Christophe and Helfer, Thomas},
	date = {2017-10},
	keywords = {3D finite element simulations, Analytical homogenization, Concrete and mortar behavior, Imperfect interfaces, Interfacial Transition Zone, Linear thermoviscoelasticity},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/KG9BXS6R/S0965997816305452.html:text/html}
}

@article{farsi_full_2017,
	title = {Full deflection profile calculation and Young’s modulus optimisation for engineered high performance materials},
	volume = {7},
	issn = {2045-2322},
	url = {http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5387420/},
	doi = {10.1038/srep46190},
	abstract = {New engineered materials have critical applications in different fields in medicine, engineering and technology but their enhanced mechanical performances are significantly affected by the microstructural design and the sintering process used in their manufacture. This work introduces (i) a methodology for the calculation of the full deflection profile from video recordings of bending tests, (ii) an optimisation algorithm for the characterisation of Young’s modulus, (iii) a quantification of the effects of optical distortions and (iv) a comparison with other standard tests. The results presented in this paper show the capabilities of this procedure to evaluate the Young’s modulus of highly stiff materials with greater accuracy than previously possible with bending tests, by employing all the available information from the video recording of the tests. This methodology extends to this class of materials the possibility to evaluate both the elastic modulus and the tensile strength with a single mechanical test, without the need for other experimental tools.},
	journaltitle = {Scientific Reports},
	shortjournal = {Sci Rep},
	author = {Farsi, A. and Pullen, A. D. and Latham, J. P. and Bowen, J. and Carlsson, M. and Stitt, E. H. and Marigo, M.},
	urldate = {2017-05-02},
	date = {2017-04-11},
	pmid = {28397789},
	pmcid = {PMC5387420},
	file = {Farsi et al. - 2017 - Full deflection profile calculation and Young’s mo.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/SZIGBQQG/Farsi et al. - 2017 - Full deflection profile calculation and Young’s mo.pdf:application/pdf}
}

@article{portillo_muesli_2017,
	title = {{MUESLI} - a Material {UnivErSal} {LIbrary}},
	volume = {105},
	issn = {0965-9978},
	url = {http://www.sciencedirect.com/science/article/pii/S0965997816301430},
	doi = {10.1016/j.advengsoft.2017.01.007},
	abstract = {This article describes {MUESLI}, an open source library with constitutive models of continuum materials for solid, fluid, and thermal problems available at http://www.materials.imdea.org/Muesli. The library is object oriented, and includes the most commonly employed material models in Computational Mechanics. It is designed for easy extension, and includes classes for tensor manipulation and automatic testing. The library can be linked to existing codes, including commercial ones, for some of which specific interfaces are provided.},
	pages = {1--8},
	journaltitle = {Advances in Engineering Software},
	shortjournal = {Advances in Engineering Software},
	author = {Portillo, David and del Pozo, Daniel and Rodríguez-Galán, Daniel and Segurado, Javier and Romero, Ignacio},
	urldate = {2017-03-30},
	date = {2017-03},
	keywords = {Automatic testing, Material modeling, Open source, Software library},
	file = {Portillo et al. - 2017 - MUESLI - a Material UnivErSal LIbrary.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/EVXEZ2XR/Portillo et al. - 2017 - MUESLI - a Material UnivErSal LIbrary.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/E9BNJH29/S0965997816301430.html:text/html}
}

@phdthesis{Han2012,
url = "http://www.theses.fr/2012ENMP0066",
title = "Modélisation de la fragilisation due au gonflement dans les aciers inoxydables austénitiques irradiés",
author = "Han, Xu",
year = "2012",
note = "Thèse de doctorat dirigée par Besson, Jacques et Tanguy, Benoît Sciences et génie des matériaux Paris, ENMP 2012",
note = "2012ENMP0066",
url = "http://www.theses.fr/2012ENMP0066/document",
}

@online{musl_libc_2017,
	title = {musl libc},
	url = {https://www.musl-libc.org/},
		author = {{Musl development community}},
	date = {2017}
}

@article{amor_regularized_2009,
	title = {Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments},
	volume = {57},
	issn = {0022-5096},
	url = {http://www.sciencedirect.com/science/article/pii/S0022509609000659},
	doi = {10.1016/j.jmps.2009.04.011},
	shorttitle = {Regularized formulation of the variational brittle fracture with unilateral contact},
	abstract = {This paper presents a modified regularized formulation of the Ambrosio–Tortorelli type to introduce the crack non-interpenetration condition in the variational approach to fracture mechanics proposed by Francfort and Marigo [1998. Revisiting brittle fracture as an energy minimization problem. J. Mech. Phys. Solids 46 (8), 1319–1342]. We focus on the linear elastic case where the contact condition appears as a local unilateral constraint on the displacement jump at the crack surfaces. The regularized model is obtained by splitting the strain energy in a spherical and a deviatoric parts and accounting for the sign of the local volume change. The numerical implementation is based on a standard finite element discretization and on the adaptation of an alternate minimization algorithm used in previous works. The new regularization avoids crack interpenetration and predicts asymmetric results in traction and in compression. Even though we do not exhibit any gamma-convergence proof toward the desired limit behavior, we illustrate through several numerical case studies the pertinence of the new model in comparison to other approaches.},
	pages = {1209--1229},
	number = {8},
	journaltitle = {Journal of the Mechanics and Physics of Solids},
	shortjournal = {Journal of the Mechanics and Physics of Solids},
	author = {Amor, Hanen and Marigo, Jean-Jacques and Maurini, Corrado},
	urldate = {2014-10-23},
	date = {2009-08},
	keywords = {Contact mechanics, Energy methods, Finite elements, Fracture, Free-discontinuity problems},
	file = {Amor et al. - 2009 - Regularized formulation of the variational brittle.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/5T4Q5WIF/Amor et al. - 2009 - Regularized formulation of the variational brittle.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/CRP93XFQ/S0022509609000659.html:text/html}
}

@article{bourdin_numerical_2000,
	title = {Numerical experiments in revisited brittle fracture},
	volume = {48},
	issn = {0022-5096},
	url = {http://www.sciencedirect.com/science/article/pii/S0022509699000289},
	doi = {10.1016/S0022-5096(99)00028-9},
	abstract = {The numerical implementation of the model of
                  brittle fracture developed in Francfort and Marigo
                  (1998. J. Mech. Phys. Solids 46 (8), 1319–1342) is
                  presented. Various computational methods based on
                  variational approximations of the original
                  functional are proposed. They are tested on several
                  antiplanar and planar examples that are beyond the
                  reach of the classical computational tools of
                  fracture mechanics.},
	pages = {797--826},
	number = {4},
	journaltitle = {Journal of the Mechanics and Physics of Solids},
	shortjournal = {Journal of the Mechanics and Physics of Solids},
	author = {Bourdin, B. and Francfort, G. A. and Marigo, J-J.},
	urldate = {2014-10-23},
	date = {2000-04},
	keywords = {A. Fracture, C. Energy methods, Finite elements, Fracture toughness, Variational calculus},
	file = {Bourdin et al. - 2000 - Numerical experiments in revisited brittle fractur.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/32WGQUHH/Bourdin et al. - 2000 - Numerical experiments in revisited brittle fractur.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7HPW92RM/S0022509699000289.html:text/html}
}

@article{francfort_revisiting_1998,
	title = {Revisiting brittle fracture as an energy minimization problem},
	volume = {46},
	issn = {0022-5096},
	url = {http://www.sciencedirect.com/science/article/pii/S0022509698000349},
	doi = {10.1016/S0022-5096(98)00034-9},
	abstract = {A variational model of quasistatic crack evolution is proposed. Although close in spirit to Griffith’s theory of brittle fracture, the proposed model however frees itself of the usual constraints of that theory : a preexisting crack and a well-defined crack path. In contrast, crack initiation as well as crack path can be quantified, as demonstrated on explicitly computable examples. Furthermore the model lends itself to numerical implementation in more complex settings.},
	pages = {1319--1342},
	number = {8},
	journaltitle = {Journal of the Mechanics and Physics of Solids},
	shortjournal = {Journal of the Mechanics and Physics of Solids},
	author = {Francfort, G. A. and Marigo, J. -J.},
	urldate = {2016-06-28},
	date = {1998-08-01},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/HIBUBIJK/S0022509698000349.html:text/html}
}

@article{nguyen_phase_2015,
	title = {A phase field method to simulate crack nucleation and propagation in strongly heterogeneous materials from direct imaging of their microstructure},
	volume = {139},
	issn = {0013-7944},
	url = {http://www.sciencedirect.com/science/article/pii/S0013794415001332},
	doi = {10.1016/j.engfracmech.2015.03.045},
	abstract = {In this work, crack initiation and propagation in 2D and 3D highly heterogeneous materials models, such as those obtained by micro-{CT} imagery of cementitious materials, is investigated for the first time by means of the phase field method. A shifted strain split operator algorithm is proposed to handle unilateral contact within cracks in a very efficient manner. The various advantages of the phase field method for voxel-based models are discussed. More specifically, we show that the resolution related to the initial image and thus to meshes for discretizing the same microstructure does not significantly affect the simulated crack path.},
	pages = {18--39},
	journaltitle = {Engineering Fracture Mechanics},
	shortjournal = {Engineering Fracture Mechanics},
	author = {Nguyen, T. T. and Yvonnet, J. and Zhu, Q. -Z. and Bornert, M. and Chateau, C.},
	urldate = {2016-08-08},
	date = {2015-05},
	keywords = {Cracks, Heterogeneous materials, Microtomography, Nucleation, Phase Field, Voxel models},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/S5ZMF3GH/Nguyen et al. - 2015 - A phase field method to simulate crack nucleation .pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/EEZUN746/S0013794415001332.html:text/html}
}

@article{nguyen_phase-field_????,
	title = {A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/S0045782515003266},
	doi = {10.1016/j.cma.2015.10.007},
	abstract = {In this work, a formulation is developed within the phase field method for modeling interactions between interfacial damage and bulk brittle cracking in complex microstructures. The method is dedicated to voxel-based models of highly complex microstructures, as obtained from X-ray microtomography images. A smoothed displacement jump approximation is introduced by means of level-set functions to overcome the issue of pixelized interfaces in voxel-based models. A simple technique is proposed to construct the level-set function in that case. Compared to recent work aiming at modeling cohesive cracks within the phase field method, our framework differs in several points: the formulation is such that interfaces are not initially damaged; no additional variables are required to describe the discontinuities at the interface and fatigue cracks can be modeled. The technique allows interaction between bulk and interface cracks, e.g. nucleation from interfaces and propagation within the matrix, and for arbitrary geometries and interactions between cracks. Several benchmarks are presented to validate the model. The technique is illustrated through numerical examples involving complex microcracking in X-ray {CT} image-based models of concrete microstructures.},
	journaltitle = {Computer Methods in Applied Mechanics and Engineering},
	shortjournal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Nguyen, T. T. and Yvonnet, J. and Zhu, Q. -Z. and Bornert, M. and Chateau, C.},
	urldate = {2016-08-08},
	keywords = {Cracks, Highly heterogeneous materials, Interfacial damage, Microcracking, Phase Field, Voxel-based models},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/UVCNNE8Q/Nguyen et al. - A phase-field method for computational modeling of.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/I726P6MR/S0045782515003266.html:text/html}
}
@article{miehe_phase_2010,
	title = {A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits},
	volume = {199},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/S0045782510001283},
	doi = {10.1016/j.cma.2010.04.011},
	shorttitle = {A phase field model for rate-independent crack propagation},
	abstract = {The computational modeling of failure mechanisms in solids due to fracture based on sharp crack discontinuities suffers in situations with complex crack topologies. This can be overcome by a diffusive crack modeling based on the introduction of a crack phase field. Following our recent work [C. Miehe, F. Welschinger, M. Hofacker, Thermodynamically-consistent phase field models of fracture: Variational principles and multi-field fe implementations, International Journal for Numerical Methods in Engineering {DOI}:10.1002/nme.2861] on phase-field-type fracture, we propose in this paper a new variational framework for rate-independent diffusive fracture that bases on the introduction of a local history field. It contains a maximum reference energy obtained in the deformation history, which may be considered as a measure for the maximum tensile strain obtained in history. It is shown that this local variable drives the evolution of the crack phase field. The introduction of the history field provides a very transparent representation of the balance equation that governs the diffusive crack topology. In particular, it allows for the construction of a new algorithmic treatment of diffusive fracture. Here, we propose an extremely robust operator split scheme that successively updates in a typical time step the history field, the crack phase field and finally the displacement field. A regularization based on a viscous crack resistance that even enhances the robustness of the algorithm may easily be added. The proposed algorithm is considered to be the canonically simple scheme for the treatment of diffusive fracture in elastic solids. We demonstrate the performance of the phase field formulation of fracture by means of representative numerical examples.},
	pages = {2765--2778},
	number = {45},
	journaltitle = {Computer Methods in Applied Mechanics and Engineering},
	shortjournal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Miehe, Christian and Hofacker, Martina and Welschinger, Fabian},
	urldate = {2016-07-01},
	date = {2010-11-15},
	keywords = {Coupled multi-field problem, Crack propagation, Finite elements, Fracture, Gradient-type damage, Incremental variational principles, Phase fields},
	file = {Miehe et al. - 2010 - A phase field model for rate-independent crack pro.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/D5IG5AFK/Miehe et al. - 2010 - A phase field model for rate-independent crack pro.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/PH89AW6H/S0045782510001283.html:text/html}
}

@report{edf_loi_2013,
	title = {Loi de comportement hyperélastique : matériau presque incompressible},
	url = {http://www.code-aster.org},
	number = {R5.03.19},
	institution = {{EDF}-R\&D/{MITI}/{MMN}},
	type = {Référence du Code Aster},
	author = {{EDF}},
	date = {2013-09-25}
}

@article{kopp_efficient_2008,
	title = {Efficient numerical diagonalization of hermitian 3x3 matrices},
	volume = {19},
	issn = {0129-1831, 1793-6586},
	url = {http://arxiv.org/abs/physics/0610206},
	doi = {10.1142/S0129183108012303},
	abstract = {A very common problem in science is the numerical diagonalization of symmetric or hermitian 3x3 matrices. Since standard "black box" packages may be too inefficient if the number of matrices is large, we study several alternatives. We consider optimized implementations of the Jacobi, {QL}, and Cuppen algorithms and compare them with an analytical method relying on Cardano's formula for the eigenvalues and on vector cross products for the eigenvectors. Jacobi is the most accurate, but also the slowest method, while {QL} and Cuppen are good general purpose algorithms. The analytical algorithm outperforms the others by more than a factor of 2, but becomes inaccurate or may even fail completely if the matrix entries differ greatly in magnitude. This can mostly be circumvented by using a hybrid method, which falls back to {QL} if conditions are such that the analytical calculation might become too inaccurate. For all algorithms, we give an overview of the underlying mathematical ideas, and present detailed benchmark results. C and Fortran implementations of our code are available for download from http://www.mpi-hd.mpg.de/{\textasciitilde}globes/3x3/ .},
	pages = {523--548},
	number = {3},
	journaltitle = {International Journal of Modern Physics C},
	author = {Kopp, Joachim},
	urldate = {2017-01-05},
	date = {2008-03},
	eprinttype = {arxiv},
	eprint = {physics/0610206},
	keywords = {High Energy Physics - Phenomenology, Mathematics - Numerical Analysis, Physics - Computational Physics},
	file = {arXiv.org Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/3CT3CDHX/0610206.html:text/html;arXiv\:physics/0610206 PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/8J23497G/Kopp - 2008 - Efficient numerical diagonalization of hermitian 3.pdf:application/pdf}
}

@misc{eberly_robust_2016,
	title = {A Robust Eigensolver for 3 × 3 Symmetric Matrices},
	url = {https://www.geometrictools.com/Documentation/RobustEigenSymmetric3x3.pdf},
	author = {Eberly, David},
	date = {2016-09},
	file = {RobustEigenSymmetric3x3.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/VGUV4IEJ/RobustEigenSymmetric3x3.pdf:application/pdf}
}

@online{eberly_geometric_2017,
	title = {Geometric Tools},
	url = {http://www.geometrictools.com/},
	author = {Eberly, David},
	date = {2017}
}

@online{kopp_numerical_2017,
	title = {Numerical diagonalization of 3x3 matrices},
	url = {https://www.mpi-hd.mpg.de/personalhomes/globes/3x3/},
	author = {Kopp, Joachim},
	date = {2017}
}

@inproceedings{castelier_using_2016,
	location = {Greece},
	title = {Using Anderson algorithm to accelerate {fft} based methods},
	abstract = {{FFT}-based methods[1] have been developed in the 1990s for simulating the mechanical properties of heterogeneous materials. They are based on an iterative resolution of the Lippman-Schwinger equation, solved in the Spectral Domain by Fast Fourier Transforms ({FFT}). With the originally proposed algorithm (basic algorithm), the convergence rate appeared to be proportional to the contrast between the phases properties. For high contrasts composites (even infinite for porous material), accelerated algorithms have thus been proposed (Milton \& Eyre, Michel \& al., Monchiet)[2] to increase the convergence rate. Other new algorithms[3] are based on a combination of the conjugate gradient and {FFT} methods. In this presentation, a new accelerated scheme has been proposed [7] (and introduced in the {AMITEX}\_FFTP code [8]): it uses the Anderson extrapolation method [4,5], which has already been used by the finite element code {CAST}3M[6], for non-linear materials, to increase the convergence rate when the tangent matrix is unknown. Used in a {FFT} based algorithm, it conserves its versatility towards non-linear materials. This new algorithm is compared to the previous accelerated schemes.},
	eventtitle = {{ECCOMAS} 2016},
	author = {Castelier, Étienne and Gélébart, Lionel and Helfer, Thomas},
	date = {2016}
}

@article{argaud_reconstruction_2014,
	title = {Reconstruction by data assimilation of the inner temperature field from outer measurements in a thick pipe},
	url = {http://arxiv.org/abs/1404.7324},
	abstract = {The detailed knowledge of the inner skin temperature behavior is very important to evaluate and manage the aging of large pipes in cooling systems. We describe here a method to obtain this information as a function of outer skin temperature measurements, in space and time. This goal is achieved by mixing fine simulations and numerical methods such as impulse response and data assimilation. Demonstration is done on loads representing extreme transient stratification or thermal shocks. From a numerical point of view, the results of the reconstruction are outstanding, with a mean accuracy of the order of less than a half percent of the temperature values of the thermal transient.},
	journaltitle = {{arXiv}:1404.7324 [physics]},
	author = {Argaud, Jean-Philippe and Bouriquet, Bertrand and Assire, Aimery and Gervais, Stéphane},
	urldate = {2016-11-24},
	date = {2014-04-29},
	eprinttype = {arxiv},
	eprint = {1404.7324},
	keywords = {Physics - Computational Physics},
	file = {Argaud et al. - 2014 - Reconstruction by data assimilation of the inner t.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/GVAUJMDN/Argaud et al. - 2014 - Reconstruction by data assimilation of the inner t.pdf:application/pdf;arXiv.org Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/85F4JNFV/1404.html:text/html}
}

@unpublished{munier_identification_2016,
	location = {{EDF} Lab Saclay},
	title = {Identification de paramètres de loi de comportement},
	url = {https://github.com/thelfer/tfel-doc/blob/master/MFrontUserDays/SecondUserDay/munier-identification.pptx},
	note = {. Second {MFront} users day.},
	author = {Munier, Rémi and Berthon, Lucie and Argaud, Jean
                  Philippe and Toulemonde, Charles and Curtit,
                  François and Rit, Jean-François},
	date = {2016-08-03}
}

@online{edf_mai_2016,
	title = {The {Material Ageing Institute} web site},
	url = {http://www.themai.org/},
	author = {{MAI}},
	date = {2016}
}


@online{dassault_abaqus_2016,
	title = {{Abaqus} web site},
	url = {http://www.3ds.com/products-services/simulia/products/abaqus/},
	author = {{Dassault Systèmes}},
	date = {2016}
}

@inproceedings{marelle_new_2016,
	location = {Boise, {USA}},
	title = {New developments in {ALCYONE} 2.0 fuel performance code},
	eventtitle = {Top Fuel},
	author = {Marelle, Vincent and Goldbronn, Patrick and Bernaud, Stéphane and Castelier, Étienne and Julien, Jérôme and Nkonga, Katherine and Noirot, Laurence and Ramière, Isabelle},
	date = {2016}
}

@inproceedings{helfer_phase_field_2017,
	location = {Giens, France},
	title = {Modélisation par champ de phase de la fissuration des matériaux fragiles: aspects numériques et applications au combustible nucléaire oxyde},
	eventtitle = {13ème colloque national en calcul des     structures},
	publisher = {{CSMA}},
	author = {Helfer, Thomas and Bary, Benoît and Dang, Tran Thang
                  and Fandeur, Olivier and Michel, Bruno},
	date = {2017-06}
}

@inproceedings{helfer_mfront_2017,
	location = {Giens, France},
	title = {New functionalities of the 3.0 version of TFEL,
                  MFront and MTest},
	eventtitle = {13ème colloque national en calcul des     structures},
	publisher = {{CSMA}},
	author = {Helfer, Thomas and Fandeur, Olivier and Haboussa,
                  David, and Deloison, Dominque and Jamond, Olivier
                  and Munier, Rémi and Berthon, Lucie and Castelier,
                  Étienne and Ramière Isabelle},
	date = {2017-06}
}

@inproceedings{helfer_implantation_2015,
	address = {Giens, France},
	title = {Implantation de lois de comportement mécanique à l'aide de {MFront} : simplicité, efficacité, robustesse et portabilité.},
	eventtitle = {12ème colloque national en calcul des structures},
	publisher = {CSMA},
	author = {Helfer, Thomas and Proix, Jean-Michel and Fandeur, Olivier},
	month = jun,
	year = {2015}
}

@inproceedings{gelebart_fft_2017,
	address = {Giens, France},
	title = {Simulations FFT massivement parallèles en mécanique des matériaux
hétérogènes.},
	publisher = {CSMA},
	eventtitle = {13ème colloque national en calcul des structures},
	author = {Gélébart, Lionel and Dérouillat, J. and Chen, Y.  and Chateau, C. and Bornert, Michel and King, A. and Sauder, Cédric},},
	month = mai,
	year = {2019}
}

@inproceedings{latourte_materials_2013,
	location = {Montpellier, France},
	title = {The materials ageing plateform: towards a toolbox to perform a wide range of research studies on the behavior of industrial materials},
	url = {https://hal.archives-ouvertes.fr/hal-00836332},
	shorttitle = {The materials ageing plateform},
	abstract = {This paper presents the Materials Ageing Platform developed at {EDF} R\&D, whose objective is to perform studies on the behaviour of industrial materials using advanced experimental and modeling techniques. We will focus on multi-scale modeling approaches relying on some recent development of the platform, allowing the study of concrete, austenitic steels and bainitic steels. The validation of models from experimental data will take advantage of the development of field measurements at the scale of the microstructure using digital image correlation.},
	pages = {Clé USB},
	booktitle = {{PhotoMechanics} 2013},
	author = {Latourte, Felix and Toulemonde, Charles and Rit, Jean-François and Sanahuja, Julien and Rupin, Nicolas and Ferrari, Jerome and Perron, Hadrien and Bosso, Elodie and Guery, Adrien and Proix, Jean-Michel and Wattrisse, Bertrand},
	urldate = {2016-11-04},
	date = {2013-05},
	file = {Latourte et al. - 2013 - The materials ageing plateform towards a toolbox .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/B6PUPX26/Latourte et al. - 2013 - The materials ageing plateform towards a toolbox .pdf:application/pdf}
}

@online{abaqus_vumat_2016,
	title = {Writing a VUMAT},
	url = {http://imechanica.org/files/appendix3-vumat.pdf},
	author = {{Abaqus Inc.}},
	date = {2005}
}

@online{dhondt_calculix_2016,
	title = {Calculix: a free software three-dimensional
                  structural finite element program},
	url = {http://www.calculix.de/},
	author = {Dhondt, Guido and Wittig, Klaus},
	date = {2016}
}

@online{cea_epx_2016,
	title = {{Europlexus} web site},
	url = {http://www-epx.cea.fr/index.php/what-is-epx},
	author = {{CEA} and {JRC}},
	date = {2016}
}

@unpublished{deloison_testing_2016,
	location = {{EDF} Lab Saclay},
	title = {Testing and validation of the {MFront} Interface for {ABAQUS}},
	url = {https://github.com/thelfer/tfel-doc/blob/master/MFrontUserDays/SecondUserDay/deloison-abaqus.pdf},
	note = {. Second {MFront} users day.},
	author = {Deloison, Dominique and Congourdeau, Fabrice},
	date = {2016-08-03}
}

@article{torelli_multiaxial_2016,
	title = {A multiaxial load-induced thermal strain constitutive model for concrete},
	issn = {0020-7683},
	url = {http://www.sciencedirect.com/science/article/pii/S0020768316303456},
	doi = {10.1016/j.ijsolstr.2016.11.017},
	abstract = {The paper presents a novel thermomechanical 3D Load-Induced Thermal Strain ({LITS}) model that captures the experimentally demonstrated behavior of concrete in the case of heating under multiaxial mechanical load, for temperatures up to 250 °C. In contrast to the models available in the literature, the new model takes into account the observed dependency of {LITS} on stress confinement. Such a dependency is introduced through a confinement coefficient which makes {LITS} directly proportional to the confinement of the stress state. Also, a new practical bilinear {LITS} model is proposed and proved to be suitable for fitting the general trend of the curves experimentally obtained for different loading conditions. The presented model is embedded in a thermoelastic material constitutive law, and then verified and validated against experiments performed on concrete specimens subjected to transient temperatures up to 250 °C under uniaxial, biaxial and triaxial compressive stress states. Once calibrated and validated, the constitutive model is used to evaluate the effects of {LITS} on the structural behavior of a Prestressed Concrete Pressure Vessel ({PCPV}) of a typical Advanced Gas cooled Reactor ({AGR}) subjected to a heating-cooling cycle simulating a temporary fault in its cooling system. The results of this study indicate that the development of {LITS} significantly influences the stress redistribution in the structure. Moreover, it is shown that in the case of {PCPVs} (and by extension similar structures) it is crucial to consider the {LITS} dependence on the stress confinement.},
	journaltitle = {International Journal of Solids and Structures},
	shortjournal = {International Journal of Solids and Structures},
	author = {Torelli, Giacomo and Gillie, Martin and Mandal, Parthasarathi and Tran, Van-Xuan},
	urldate = {2016-12-12},
	keywords = {Concrete, Fire, Load-induced thermal strain, Modeling, Stress confinement, Temperature, Thermal strain, Transient thermal creep},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/ZFC7B9B5/Torelli et al. - A multiaxial load-induced thermal strain constitut.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/2UA43NIS/S0020768316303456.html:text/html}
}

@online{cea_epx_2016,
	title = {`Europlexus` web site},
	url = {http://www-epx.cea.fr/index.php/what-is-epx},
	author = {{CEA} and {JRC}},
	date = {2016}
}

@article{bary_thermoviscoelastic_2016,
	title = {Thermoviscoelastic Analysis of Concrete Creep at Mesoscale},
	volume = {711},
	doi = {10.4028/www.scientific.net/KEM.711.652},
	abstract = {Concrete is a heterogeneous material made up at mesoscale of linear elastic aggregates distributed in a mortar matrix whose behavior is time and temperature dependent. The Interfacial Transition Zone ({ITZ}) between aggregates and matrix also influences the overall behavior. We investigate here analytically and numerically by means of 3D simulations the creep behavior of concrete and mortar subjected to moderate temperatures at mesoscale. The numerical specimens consist in unstructured periodic meshes of polyhedral aggregates with various size and shapes randomly distributed in a box. Specific interface finite elements are introduced between aggregates and matrix to model the {ITZ}. Both matrix and {ITZ} are considered as linear thermoviscoelastic materials. Averaged stresses and strains in the matrix and aggregate phases are compared to analytical estimations obtained with classical mean-field approximation schemes applied in the Laplace-Carson space, where the {ITZ} are introduced via imperfect interfaces modelled with the Linear Spring Model ({LSM}). The effects of {ITZ} thickness, aggregate shape and temperature are then studied to evaluate their respective influence on mortar and concrete creep behavior.},
	pages = {652--658},
	journaltitle = {Key Engineering Materials},
	author = {Bary, Benoit and Bourcier, Christophe and Helfer, Thomas},
	date = {2016-09},
	file = {Bary et al. - 2016 - Thermoviscoelastic Analysis of Concrete Creep at M.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/FHCCRRXU/Bary et al. - 2016 - Thermoviscoelastic Analysis of Concrete Creep at M.pdf:application/pdf}
}

@article{michel_3d_2016,
	title = {3D Continuum Damage Approach for Simulation of Crack Initiation and Growth in Ceramic Materials},
	volume = {713},
	doi = {10.4028/www.scientific.net/KEM.713.155},
	abstract = {This paper focuses on the numerical simulation of crack initiation and growth in ceramic materials. This work is devoted to nuclear fuel modelling under irradiation and more precisely to fuel pellet fragmentation assessment at macroscopic and microscopic scales. Simulation tools are developed in the framework of a cooperative program between the {CEA}, {EDF} and {AREVA} devoted to a unified fuel performance software environment called {PLEIADES}. A smeared crack model is proposed to have a continuous description of crack nucleation and growth at macroscopic scale. This unified description is based on crack extension process from the microscopic scale up to the macroscopic scale. In order to deal with unstable crack extension a specific algorithm is proposed to solve the quasi static nonlinear mechanical problem. A 3D application is presented to illustrate performances and robustness of the smeared crack approach to simulate crack extension in nuclear fuel ceramics. In this application with an internal pressure loading a new methodology is proposed in order to avoid convergence problem due to the indetermination of the quasi static formulation of a softening material equilibrium under Neumann boundary condition.},
	journaltitle = {Key Engineering Materials},
	author = {Michel, Bruno and Helfer, Thomas and Ramière, Isabelle and Esnoul, Coralie},
	date = {2016},
	file = {Michel et al. - 2016 - 3D Continuum Damage Approach for Simulation of Cra.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/IXIS5SPC/Michel et al. - 2016 - 3D Continuum Damage Approach for Simulation of Cra.pdf:application/pdf}
}

@book{asali_modelisation_2016,
	title = {Modélisation et prévision du comportement thermo-hydro-mécanique d’une paroi en béton : application au cas des enceintes de confinement des bâtiments réacteurs nucléaires},
	url = {http://www.theses.fr/2016LIL10143},
	shorttitle = {Modélisation et prévision du comportement thermo-hydro-mécanique d’une paroi en béton},
	abstract = {L’enceinte de confinement est la dernière barrière de protection des bâtiments réacteurs nucléaires ({BR}), mais les mécanismes de vieillissement du béton précontraint peuvent dégrader l’étanchéité de l’enceinte interne ({EI}) des {BR} à double paroi au cours du temps. C’est une problématique majeure pour l’exploitation à long terme et l’extension de la durée de vie des {BR} tout en respectant les exigences de sûreté. La taille de telles structures et la complexité de tous les phénomènes couplés qui interagissent à différentes échelles rendent difficile la mise au point d’un outil industriel opérationnel de modélisation. Dans ce contexte, cette thèse introduit une stratégie numérique de prévision du taux de fuite des {EI} en exploitation. Elle repose sur une discrétisation adaptée par macroéléments, sur une modélisation thermo-hydro-mécanique chainée faiblement couplée physiquement représentative et sur un élément fini 3D spécialement conçu pour calculer les transferts à travers le béton insaturé et fissuré. La stratégie proposée a été appliquée à la maquette d’enceinte {VeRCoRs} (échelle 1/3) : les résultats obtenus sont validés avec les données expérimentales disponibles jusqu’au premier essai de mise sous pression puis prolongés jusqu’au troisième.La stratégie proposée permet aux opérateurs de :-	Prendre en compte les variabilités et incertitudes des paramètres d’intérêt et de quantifier leur impact sur le taux de fuite total ;-	Introduire les défauts relevés au cours d’inspections visuelles dans le calcul ;-	Anticiper et optimiser les actions de mitigation des fuites pour éviter un prolongement d’arrêt de tranche et les pertes d’exploitation associées.},
	publisher = {Lille 1},
	author = {Asali, Mehdi},
	urldate = {2017-05-24},
	date = {2016-12-07},
	file = {Asali - 2016 - Modélisation et prévision du comportement thermo-h:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/KHB8NUTT/Asali - 2016 - Modélisation et prévision du comportement thermo-h:application/pdf;Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/UKWFN6UG/2016LIL10143.html:text/html}
}

@article{asali_numerical_2016,
	title = {Numerical Strategy for Forecasting the Leakage Rate of Inner Containments in Double-Wall Nuclear Reactor Buildings},
	volume = {14},
	doi = {10.3151/jact.14.408},
	abstract = {In the context of life extension of nuclear reactor buildings while ensuring safety and regulatory requirements, a numerical strategy is proposed to compute and forecast the air leakage rate evolution of inner containments in double-wall reactor buildings under standard long-term operation. In order to reduce the numerical cost of such complex computations, the proposed strategy is based on a coarse but adapted mesh together with a chained weakly-coupled thermo-hydro-mechanical modeling. The total leakage rate is then computed with a specially-designed tridimensional finite element based on a non-linear thermal analogy.This methodology is used to model the behavior of the {VeRCoRs} mock-up, a simplified nuclear reactor building at scale 1:3, built and monitored by {EDF}. Results obtained until the first pre-operational pressurization test have been discussed in a dedicated benchmark organized by {EDF}. The proposed methodology provides delayed strains and leakage results in good agreement with available experimental data. A blind prolongation until the first decennial test of the mock-up is presented and analyzed.},
	pages = {408--420},
	number = {8},
	journaltitle = {Journal of Advanced Concrete Technology},
	author = {Asali, Mehdi and Capra, Bruno and Mazars, Jacky and Colliat, Jean-Baptiste},
	date = {2016},
	file = {Asali et al. - 2016 - Numerical Strategy for Forecasting the Leakage Rat.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/GCV388RD/Asali et al. - 2016 - Numerical Strategy for Forecasting the Leakage Rat.pdf:application/pdf;J-Stage - Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/2NRQ8J2N/_article.html:text/html}
}

@article{sun_numerical_2008,
	title = {Numerical Approximation of Tangent Moduli for Finite Element Implementations of Nonlinear Hyperelastic Material Models},
	volume = {130},
	issn = {0148-0731},
	url = {http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2724673/},
	doi = {10.1115/1.2979872},
	abstract = {Finite element ({FE}) implementations of nearly incompressible material models often employ decoupled numerical treatments of the dilatational and deviatoric parts of the deformation gradient. This treatment allows the dilatational stiffness to be handled separately to alleviate ill conditioning of the tangent stiffness matrix. However, this can lead to complex formulations of the material tangent moduli that can be difficult to implement or may require custom {FE} codes, thus limiting their general use. Here we present an approach, based on work by Miehe (Miehe, 1996, “Numerical Computation of Algorithmic (Consistent) Tangent Moduli in Large Strain Computational Inelasticity,” Comput. Methods Appl. Mech. Eng., 134, pp. 223–240), for an efficient numerical approximation of the tangent moduli that can be easily implemented within commercial {FE} codes. By perturbing the deformation gradient, the material tangent moduli from the Jaumann rate of the Kirchhoff stress are accurately approximated by a forward difference of the associated Kirchhoff stresses. The merit of this approach is that it produces a concise mathematical formulation that is not dependent on any particular material model. Consequently, once the approximation method is coded in a subroutine, it can be used for other hyperelastic material models with no modification. The implementation and accuracy of this approach is first demonstrated with a simple neo-Hookean material. Subsequently, a fiber-reinforced structural model is applied to analyze the pressure-diameter curve during blood vessel inflation. Implementation of this approach will facilitate the incorporation of novel hyperelastic material models for a soft tissue behavior into commercial {FE} software.},
	pages = {061003--061003},
	number = {6},
	journaltitle = {Journal of biomechanical engineering},
	eprinttype = {jstor},
	eprint = {{PMC}2724673},
	author = {Sun, Wei and Chaikof, Elliot L and Levenston, Marc E},
	date = {2008-12}
}
@article{hure_intergranular_2016,
	title = {Intergranular stress distributions in polycrystalline aggregates of irradiated stainless steel},
	volume = {476},
	issn = {0022-3115},
	url = {http://www.sciencedirect.com/science/article/pii/S0022311516301313},
	doi = {10.1016/j.jnucmat.2016.04.017},
	abstract = {In order to predict {InterGranular} Stress Corrosion Cracking ({IGSCC}) of post-irradiated austenitic stainless steel in Light Water Reactor ({LWR}) environment, reliable predictions of intergranular stresses are required. Finite elements simulations have been performed on realistic polycrystalline aggregate with recently proposed physically-based crystal plasticity constitutive equations validated for neutron-irradiated austenitic stainless steel. Intergranular normal stress probability density functions are found with respect to plastic strain and irradiation level, for uniaxial loading conditions. In addition, plastic slip activity jumps at grain boundaries are also presented. Intergranular normal stress distributions describe, from a statistical point of view, the potential increase of intergranular stress with respect to the macroscopic stress due to grain-grain interactions. The distributions are shown to be well described by a master curve once rescaled by the macroscopic stress, in the range of irradiation level and strain considered in this study. The upper tail of this master curve is shown to be insensitive to free surface effect, which is relevant for {IGSCC} predictions, and also relatively insensitive to small perturbations in crystallographic texture, but sensitive to grain shapes.},
	pages = {231--242},
	journaltitle = {Journal of Nuclear Materials},
	shortjournal = {Journal of Nuclear Materials},
	author = {Hure, J. and El Shawish, S. and Cizelj, L. and Tanguy, B.},
	urldate = {2016-06-07},
	date = {2016-08-01},
	keywords = {Crystal plasticity, Finite element simulations, Irradiation hardening, Stress corrosion cracking},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/C3BJBF8X/Hure et al. - 2016 - Intergranular stress distributions in polycrystall.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/8A2H7PKN/S0022311516301313.html:text/html}
}

@inproceedings{saouma16:_effec,
	address = {Berkeley (USA)},
	title = {Effective ageing linear viscoelastic properties of
                  composites with phase precipitation: comparisons
                  between numerical and analytical homogenization
                  approaches},
	booktitle = {FraMCos-9: 9th International Conference on
                  Fracture Mechanics of Concrete and Concrete
                  Structures},
	editor = {Saouma V., and Bolander, J.  and Landis, E. },
	author = {Honorio, T. and Bary, B., and Sanahuja, J},
	year = {May 2016},
}


@article{honorio_multiscale_2016,
	title = {Multiscale estimation of ageing viscoelastic properties of cement-based materials: A combined analytical and numerical approach to estimate the behaviour at early age},
	volume = {85},
	issn = {0008-8846},
	url = {http://www.sciencedirect.com/science/article/pii/S0008884615301411},
	doi = {10.1016/j.cemconres.2016.03.010},
	shorttitle = {Multiscale estimation of ageing viscoelastic properties of cement-based materials},
	abstract = {We propose an investigation combining numerical and analytical tools to estimate the ageing viscoelastic properties of cement-based materials within a multiscale framework. With analytical homogenization the properties at the cement paste and mortar scales are estimated by a combination of Generalized Self-Consistent ({GSC}) and Mori–Tanaka ({MT}) schemes. With numerical homogenization the effective properties at the concrete scale are estimated. Numerical homogenization has the advantage of allowing assessing local information and to study more complex geometries. This combined strategy constitutes a promising tool to investigate how different mechanisms leading to ageing at the hydrated products scale, as well as other features of cement-based materials such as the Interfacial Transition Zone ({ITZ}), affect the viscoelastic behaviour at superior scales. In this context, we study the solidification of non-ageing constituents as the mechanisms leading to the ageing behaviour combined or not with a space-filling process in C–S–H. Relaxation and creep results are presented.},
	pages = {137--155},
	journaltitle = {Cement and Concrete Research},
	shortjournal = {Cement and Concrete Research},
	author = {Honorio, Tulio and Bary, Benoit and Benboudjema, Farid},
	urldate = {2016-06-07},
	date = {2016-07},
	keywords = {Ageing viscoelasticity, Cement-based materials, Early age, Homogenization, Space-filling},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/ICZ8DNRD/Honorio et al. - 2016 - Multiscale estimation of ageing viscoelastic prope.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/Q9JGFETJ/S0008884615301411.html:text/html}
}

@inproceedings{petry_advanced_2015,
	address = {Zurich, Switzerland},
	title = {Advanced mechanical resolution in {CYRANO}3 fuel performance code using {MFront} generation tool},
	booktitle = {{LWR} {Fuel} {Performance} {Meeting}/{TopFuel}/{WRFPM}},
	author = {Petry, Charles and Helfer, Thomas},
	month = september,
	year = {2015},
	file = {Petry et Helfer - 2015 - Advanced mechanical resolution in CYRANO3 fuel per.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/DUR2JDWA/Petry et Helfer - 2015 - Advanced mechanical resolution in CYRANO3 fuel per.pdf:application/pdf;Poster_topfuel_2015.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/3QC7BQAA/Poster_topfuel_2015.pdf:application/pdf}
}

@article{latella_hertzian_1997,
	title = {hertzian contact damage in porous alumina ceramics},
	volume = {80},
	number = {4},
	journal = {J. Am. Ceram. Soc.},
	author = {Latella, B. A. and O'Connor, Brian H. and Padture, Nitin P. and Lawn, Brian R.},
	year = {1997},
	pages = {1027--1031}
}

@techreport{jeanningros_modelisation_2007,
	title = {Modélisation 3D du comportement thermomécanique du combustible ({U},{Pu}){C} à plaque macrostructurée pour l'expérience {IRRDEMO}},
	number = {SESC/LC2I 07-016},
	author = {Jeanningros, X. and Munoz, I.},
	month = sep,
	year = {2007}
}

@misc{helfer_presentation_2011,
	address = {Cadarache et Saclay par visioconférence},
	title = {Présentation de mfront},
	author = {Helfer, Thomas},
	month = jun,
	year = {2011}
}

@techreport{edf_modecomportement_2013,
	type = {Documentation du {Code}-{Aster}},
	title = {Modèle de comportement élasto-visqueux {META}\_LEMA\_ANI avec prise en compte de la métallurgie pour les tubes de gaine du crayon combustible},
	url = {http://www.code-aster.org},
	abstract = {En vue de la réalisation de calculs 3D de la gaine combustible en situation accidentelle de type APRP, le département MMC a formulé, pour les tubes en Zircaloy, un modèle de comportement élastovisqueux, sans  seuil, anisotrope et prenant en compte l’effet de la transformation de phase alpha-bêta sur le comportement  mécanique. On décrit ici ce modèle, disponible dans Code\_Aster sous le nom de META\_LEMA\_ANI, et son algorithme de  résolution. Il est disponible en 3D, déformation plane, axisymétrie.

La matrice d’anisotropie de Hill est renseignée dans le repère cylindrique associé au tube. À ce jour, on a  supposé que l’axe axial z du repère cylindrique associé au tube correspondait à celui du repère global. Si bien  que si plusieurs tubes doivent être modélisés ou bien si l’axe du tube ne correspond pas à celui du repère  global, le modèle n’est pas correct. A terme, il faudrait soulever cette restriction. Les équations en vitesse sont intégrées numériquement par un schéma implicite d’Euler. Le système  d’équations obtenu est résolu par la méthode de Newton.},
	number = {R4.04.05},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	month = sep,
	year = {2013},
	file = {De Bonnières - 2013 - Modèle de comportement élasto-visqueux META_LEMA_A.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/FTDNEENT/De Bonnières - 2013 - Modèle de comportement élasto-visqueux META_LEMA_A.pdf:application/pdf}
}

@article{halphen_sur_1975,
	title = {sur les matériaux standard généralisés},
	volume = {14},
	number = {1},
	journal = {Journal de Mécanique},
	author = {Halphen, B. and Nguyen, Q. S.},
	year = {1975},
	pages = {39--63}
}

@inproceedings{federici_helium_2007,
	title = {Helium production and behavior in nuclear oxide fuels during irradiation in {LWR}},
	booktitle = {Proceedings of the 2007 {International} {LWR} {Fuel} {Performance} {Meeting}},
	author = {Federici, É and Courcelle, A. and Blanpain, P. and Cognon, H.},
	year = {2007}
}

@techreport{mijolla_modelisation_2010,
	title = {Modélisation de l irradiation {DIAMINO} en position réflecteur {J}9 dans {OSIRIS} {Calculs} {neutroniquesTRIPOLI}4{\textbackslash}–{APPOLO}2{\textbackslash}–{MOC}},
	number = {DER/SPRC/LPN/10-1579},
	institution = {CEA DER/SPRC/LPN},
	author = {Mijolla, M. De and Aletto, C. D.},
	year = {2010}
}

@phdthesis{largenton_modelisation_2012,
	title = {Modélisation du comportement effectif du combustible {MOX} : par une analyse micro-mécanique en champs de transformation non uniformes},
	shorttitle = {Modélisation du comportement effectif du combustible {MOX}},
	url = {http://www.theses.fr/2012AIXM4773},
	abstract = {Parmi les combustibles nucléaires irradiés dans les Réacteurs à Eau Pressurisée d'Électricité de France, on trouve le combustible MOX, acronyme anglais de Mixed Oxide car il combine du dioxyde de plutonium et d'uranium. On y distingue trois phases, correspondant à des teneurs massiques en plutonium différentes. La teneur en matière fissile y étant différente, ces phases évoluent différemment sous irradiation, tant du point de vue mécanique que du point de vue chimique. Pour modéliser correctement le comportement macroscopique du combustible MOX dans un code de calcul industriel, les modèles ont besoin d'être alimentés de façon pertinente en propriétés effectives, mais il est aussi intéressant de disposer d'informations sur les champs locaux afin d'établir des couplages entre les mécanismes (couplage mécanique physico-chimie). L'objectif de la thèse fut donc de développer une modélisation par changement d'échelles, basée sur l'approche NTFA (Michel et Suquet 2003). Ces développements ont été réalisés sur des microstructures tridimensionnelles (3D) représentatives du combustible MOX et pour un comportement local visco-élastique vieillissant avec déformations libres. Dans un premier temps, pour représenter le combustible MOX en 3D nous avons utilisé des méthodes existantes pour traiter et segmenter les images expérimentales 2D, puis nous avons remonté les informations 2D indispensables (fuseau diamétral des inclusions et fractions surfaciques respectives) en 3D par la méthode stéréologique de Saltykov (Saltykov 1967) et enfin nous avons développé des outils pour représenter et discrétiser un composite multiphasé particulaire, type MOX.},
	urldate = {2014-01-27},
	school = {Aix-Marseille},
	author = {Largenton, Rodrigue},
	month = jun,
	year = {2012},
	keywords = {Mox Heterogeneous Three phases Visco-elasticity Free strain Ageing 3d Homogenisation NTFA model Incremental Mori-Tanaka model, Mox Hétérogène Trois-phases Visco-élasticité Déformation libre Vieillissant 3d Homogénéisation Modèle NTFA Modèle Mori-Tanaka incrémental  en français},
	file = {Largenton - 2012 - Modélisation du comportement effectif du combustib.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/8EEFNC64/Largenton - 2012 - Modélisation du comportement effectif du combustib.pdf:application/pdf}
}

@phdthesis{le_saux_comportement_2008,
	title = {Comportement et rupture de gaines en {Zircaloy}–4 {Detendu} vierges, hydrurées ou irradiées en situation accidentelle de type {RIA}},
	abstract = {L’objectif de cette étude est de caractériser et de modélise
r le comportement mécanique, l’endommagement et la rupture en situation accidentelle d’injection de réactivité de gaines
de crayons combustibles en Zircaloy-4 détendu vierges, hydrurées ou irradiées en réacteurs nucléaires à eau pressurisée. Un modèle phénoménologique s’appuyant sur les résultats déjà existants
de plus de 500 essais mécaniques est proposé pour décrire le c
omportement viscoplastique anisotrope du matériau en fonction de la température (de 20°C à 1100°C), la vitesse de déformation
(de 3.10{\textasciicircum}-4 s{\textasciicircum}-1 o 5s{\textasciicircum}-1), la fluence (de 0 à 10{\textasciicircum}26 n.m{\textasciicircum}-1) et des conditions d’irradiation. Le comportement plastique anisotrope et la rupture du matériau non irradié hydruré jusqu’à 1200ppm
(hydrures circonférentiels répartis uniformément) est étudié à l’aide d’essais de traction axiale, traction circonférentielle, expansion due à la compression et traction plane circonférentielle réalisés
à 25°C, 350°C et 480°C. La résistance mécanique et l’écrouissage du matériau dépendent de la température et des teneurs en hydrogène en solution solide et en hydrures précipités. L’anisotropie plastique du matériau est peu modifiée par l’hydrogène. A température ambiante le matériau est fragilisé par les hydrures, qui rompent pour des déformations plastiques d’autant plus faibles que la teneur en hydrogène est élevée. La ductilité du matériau, croissante en fonction de la température, n’est pas affectée par l’hydrogène à 350°C et 480°C. Les modes de rupture macroscopiques et les mécanismes microscopiques d’endommagement diffèrent selon la géométrie des éprouvettes, la température et la teneur en hydrogène. Un modèle de type Gurson–Tvergaard–Needleman est proposé pour représenter le comportement viscoplastique anisotro pe et la rupture ductile du matériau en fonction de la température et de la teneur en hydrogène. Le mo dèle est exploité pour approfondir l’étude de l’endommagement du matériau et de la rupture des éprouvettes.},
	language = {français},
	school = {École des Mines de Paris},
	author = {Le Saux, Matthieu},
	month = oct,
	year = {2008}
}

@inproceedings{colombier_neutronics_2013,
	address = {Saint Petersburg},
	title = {Neutronics and photonics calculations in support to the design of the {DIAMINO} irradiation device in the {OSIRIS} reactor},
	author = {Colombier, A-C. and D'Aletto, C. and Gaubert, L. and Bejaoui, Syriac and Lambert, Thierry and Di Salvo, D. and Pouchin, B.},
	month = apr,
	year = {2013}
}

@article{miehe_indium_2013,
	title = {Indium hydroxide to oxide decomposition observed in one nanocrystal during in situ transmission electron microscopy studies},
	volume = {198},
	issn = {0022-4596},
	url = {http://www.sciencedirect.com/science/article/pii/S0022459612006172},
	doi = {10.1016/j.jssc.2012.09.022},
	abstract = {The high-resolution transmission electron microscopy (HR-TEM) is used to study, in situ, spatially resolved decomposition in individual nanocrystals of metal hydroxides and oxyhydroxides. This case study reports on the decomposition of indium hydroxide (c-In(OH)3) to bixbyite-type indium oxide (c-In2O3). The electron beam is focused onto a single cube-shaped In(OH)3 crystal of \{100\} morphology with ca. 35 nm edge length and a sequence of HR-TEM images was recorded during electron beam irradiation. The frame-by-frame analysis of video sequences allows for the in situ, time-resolved observation of the shape and orientation of the transformed crystals, which in turn enables the evaluation of the kinetics of c-In2O3 crystallization. Supplementary material (video of the transformation) related to this article can be found online at 10.1016/j.jssc.2012.09.022. After irradiation the shape of the parent cube-shaped crystal is preserved, however, its linear dimension (edge) is reduced by the factor 1.20. The corresponding spotted selected area electron diffraction (SAED) pattern representing zone [001] of c-In(OH)3 is transformed to a diffuse strongly textured ring-like pattern of c-In2O3 that indicates the transformed cube is no longer a single crystal but is disintegrated into individual c-In2O3 domains with the size of about 5–10 nm. The induction time of approximately 15 s is estimated from the time-resolved Fourier transforms. The volume fraction of the transformed phase (c-In2O3), calculated from the shrinkage of the parent c-In(OH)3 crystal in the recorded HR-TEM images, is used as a measure of the kinetics of c-In2O3 crystallization within the framework of Avrami–Erofeev formalism. The Avrami exponent of ∼3 is characteristic for a reaction mechanism with fast nucleation at the beginning of the reaction and subsequent three-dimensional growth of nuclei with a constant growth rate. The structural transformation path in reconstructive decomposition of c-In(OH)3 to c-In2O3 is discussed in terms of (i) the displacement of hydrogen atoms that lead to breaking the hydrogen bond between OH groups of [In(OH)6] octahedra and finally to their destabilization and (ii) transformation of the vertices-shared indium–oxygen octahedra in c-In(OH)3 to vertices- and edge-shared octahedra in c-In2O3.},
	number = {0},
	journal = {Journal of Solid State Chemistry},
	author = {Miehe, Gerhard and Lauterbach, Stefan and Kleebe, Hans-Joachim and Gurlo, Aleksander},
	month = feb,
	year = {2013},
	keywords = {Crystallographic transformation, Decomposition reaction, Indium oxide, In situ, Kinetics, Transmission electron microscopy},
	pages = {364--370}
}

@techreport{castelier_homogeneisation_2006,
	title = {Homogénéisation thermomécanique des plaques de combustible {RCG}},
	number = {NT/SESC/LLCC 05-016},
	institution = {DEC/SESC/LSC},
	author = {Castelier, Étienne},
	year = {2006}
}

@article{magnier_bipotential_2014,
	title = {Bipotential versus return mapping algorithms: {Implementation} of non associated flow rules},
	volume = {51},
	issn = {0020-7683},
	shorttitle = {Bipotential versus return mapping algorithms},
	url = {http://www.sciencedirect.com/science/article/pii/S002076831400153X},
	doi = {10.1016/j.ijsolstr.2014.04.004},
	abstract = {Numerical implementation of constitutive laws involves specific incremental methods. The “return mapping” (Simo and Hughes, 1998) and the “bipotential” (de Saxcé, 1992) are one of those, associated respectively to two different classes of materials: the General Standard Materials (GSM) for the return mapping and the Implicit Standard Materials (ISM) for the bipotential.

The objective of this paper is then to compare the implementation of those both methods in the case of non associated flow rules in plasticity.

In the first section, the properties of the different previous material classes will be recalled and the methods of “return mapping” and “bipotential” will be detailed. The comparison of both methods is realised on the non linear kinematic hardening rule of Armstrong–Frederick (Armstrong and Frederick, 1966) in a second section and the details are given in a third part. The numerical implementation is realised in Abaqus/Standard 6.11 by the means of a UMat subroutine and the practical simple case of tension–compression is analysed in a last section.},
	number = {15–16},
	urldate = {2014-12-08},
	journal = {International Journal of Solids and Structures},
	author = {Magnier, V. and Charkaluk, E. and de Saxcé, G.},
	month = aug,
	year = {2014},
	keywords = {Abaqus, bipotential, Non-associated laws, Numerical implementation, Plasticity, Return mapping},
	pages = {2857--2864},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/IDS7PTCP/Magnier et al. - 2014 - Bipotential versus return mapping algorithms Impl.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/GCPHA8V6/S002076831400153X.html:text/html}
}

@misc{northwest_numerics_and_modeling_inc._zebfront_2014,
	title = {{ZebFront}},
	url = {http://www.nwnumerics.com/Z-mat/ZebFront},
	author = {Northwest Numerics {and} Modeling, Inc.},
	year = {2014}
}

@techreport{edf_modecomportement_2013-1,
	type = {Référence du {Code} {Aster}},
	title = {Modèle de comportement élastovisqueux {META}\_LEMA\_ANI avec prise en compte de la métallurgie pour les tubes de gaine du crayon combustible},
	url = {http://www.code-aster.org},
	number = {R4.04.05 révision 11552},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	month = sep,
	year = {2013},
	file = {EDF - 2013 - Modèle de comportement élastovisqueux META_LEMA_AN.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/P6B8SX69/EDF - 2013 - Modèle de comportement élastovisqueux META_LEMA_AN.pdf:application/pdf}
}

@book{mora_etude_2004,
	title = {Étude de l'intégration temporelle du tenseur taux de déformation : {Application} à la modélisation de l'élastoplasticité en grandes transformations},
	shorttitle = {Étude de l'intégration temporelle du tenseur taux de déformation},
	url = {http://www.theses.fr/2004LORIS040},
	abstract = {Ce travail concerne la formulation de lois de comportement élastoplastiques en grandes transformations. Un lien est établi entre le tenseur taux de déformation et trois mesures de déformations: la mesure d'Almansi, sa mesure duale, et la mesure de déformation logarithmique. Les opérations de dérivations et d'intégrations temporelles des tenseurs sont expliquées de manière didactiques. Une expression originale des dérivées rotationnelles en fonction de dérivées convectives est proposée. Cette expression est particulièrement adaptée à une implantation numérique. Une étude numérique de différentes déformations cumulées tensorielles est présentée. Ces résultats sont appliqués à la modélisation de l'élastoplasticité en grandes transformations. Un effort est fait pour relier différentes théories proposées dans la littérature. Nous montrons que la décomposition additive du taux de déformation peut conduire, par intégration, à la décomposition additive d'un mesure de déformation.},
	urldate = {2014-02-04},
	publisher = {Lorient},
	author = {Mora, Vincent},
	month = jan,
	year = {2004},
	keywords = {en français},
	file = {Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/JH8T2UVW/2004LORIS040.html:text/html}
}

@article{levy_three-dimensional_1974,
	title = {A three-dimensional study of nuclear fuel rod behavior during startup},
	volume = {29},
	journal = {Nuclear Engineering and Design},
	author = {Levy, S. and Wilkinson, J. P. D.},
	year = {1974},
	pages = {157--166}
}

@misc{software_programming_2013,
	title = {Programming {Community} {Index} for {June} 2013},
	url = {http://www.tiobe.com/index.php/content/paperinfo/tpci/index.html},
	author = {Software, Tiobe},
	year = {2013}
}

@book{bailly_combustible_1996,
	series = {série synthèses},
	title = {le combustible nucléaire des réacteurs à eau sous pression et des réacteurs à neutrons rapides},
	publisher = {Eyrolles},
	editor = {Bailly, H. and Ménessier, D. and Prunier, C.},
	year = {1996}
}

@techreport{blanc_notice_2012,
	type = {Note technique},
	title = {Notice d'utilisation de l'application {VER} v1.2},
	number = {12 - 023},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Blanc, Victor},
	month = sep,
	year = {2012}
}

@book{blaess_developpement_2011,
	address = {Paris},
	title = {Développement système sous {Linux}: [ordonnancement multi-tâche, gestion mémoire, communications, programmation réseau]},
	isbn = {9782212128819 2212128819},
	shorttitle = {Développement système sous {Linux}},
	language = {French},
	publisher = {Eyrolles},
	author = {Blaess, Christophe},
	year = {2011}
}

@article{camacho_computational_1996,
	title = {Computational modelling of impact dommage in brittle materials},
	volume = {33},
	number = {20-22},
	journal = {Int. J. Solids Structures},
	author = {Camacho, G. T. and Ortiz, M.},
	year = {1996},
	pages = {2899--2938}
}

@misc{lambert_programme_2014,
	address = {Cadarache},
	title = {Programme d'irradiation {Cyclade}},
	author = {Lambert, Thierry},
	month = sep,
	year = {2014}
}

@article{chaboche_new_2001,
	title = {New progress in micromechanics-based {CDM} models and their applications to {CMCs}},
	volume = {61},
	journal = {Composites Science and Technology},
	author = {Chaboche, J. L. and Maire, J. F.},
	year = {2001},
	pages = {2239--2246}
}

@techreport{ravenet_rcg_2006,
	title = {{RCG} - {Prédimensionnement} thermomécanique d'une plaque combustible macro-structurée à structure métallique},
	number = {SESC/LC2I 06-014},
	author = {Ravenet, A.},
	month = sep,
	year = {2006}
}

@article{valoroso_consistent_2009,
	title = {Consistent derivation of the constitutive algorithm for plane stress isotropic plasticity. {Part} {I}: {Theoretical} formulation},
	volume = {46},
	issn = {0020-7683},
	shorttitle = {Consistent derivation of the constitutive algorithm for plane stress isotropic plasticity. {Part} {I}},
	url = {http://www.sciencedirect.com/science/article/pii/S0020768308003405},
	doi = {10.1016/j.ijsolstr.2008.08.012},
	abstract = {A derivation of the projected algorithm for general isotropic three-invariant plasticity models under plane stress conditions is presented. It is obtained by consistently specializing the 3D formulation to the 2D subspace defined by the plane stress condition. Closed-form intrinsic algorithm linearization and a novel expression of the consistent tangent tensor are provided; these are also shown to directly emanate from the analogous quantities pertaining to the fully 3D case. A detailed discussion of the proposed implementation along with a representative set of numerical examples is provided in the second part of this paper [Valoroso, N., Rosati, L., 2008. Consistent derivation of the constitutive algorithm for plane stress isotropic plasticity. Part II: Computational issues. International Journal of Solids and Structures, 46, 92–124.},
	number = {1},
	urldate = {2014-01-29},
	journal = {International Journal of Solids and Structures},
	author = {Valoroso, Nunziante and Rosati, Luciano},
	month = jan,
	year = {2009},
	keywords = {Consistent tangent, Finite elements, Numerical algorithms, Plane stress elastoplasticity, Return mapping},
	pages = {74--91},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/SV7J29GP/S0020768308003405.html:text/html;Valoroso et Rosati - 2009 - Consistent derivation of the constitutive algorith.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/SA9K93HQ/Valoroso et Rosati - 2009 - Consistent derivation of the constitutive algorith.pdf:application/pdf}
}

@techreport{franklin_evaluation_2008,
	type = {Technical {Report}},
	title = {An evaluation of {Stainless} {Steel} {Cladding} for use in {Current} {Design} {LWRS}},
	number = {NP-2642},
	institution = {Electric Power Research Institute},
	author = {Franklin, David},
	year = {2008},
	file = {Franklin - 2008 - An evaluation of Stainless Steel Cladding for use .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/R36CBQF9/Franklin - 2008 - An evaluation of Stainless Steel Cladding for use .pdf:application/pdf}
}

@article{krige_statistical_1951,
	title = {A statistical method for mine variation problems in the {Witwartersrand}},
	volume = {52},
	journal = {Journal of chemistry and metallurgy of the Mining Society of South Africa},
	author = {Krige, D. G.},
	year = {1951},
	pages = {119--139}
}

@techreport{helfer_interface_2013,
	type = {Note technique},
	title = {L'interface castem aux lois de comportement mécanique de {MFront}},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Helfer, Thomas},
	year = {2013},
	note = {En cours de rédaction}
}

@article{saxce_limit_1998,
	title = {limit analysis theorems for implicit standard materials : application to the unilateral contact with dry friction and the non-associated flow rules in soils and rocks},
	volume = {40},
	number = {4},
	journal = {Int. J. Mech. Sci.},
	author = {Saxcé, G. de and Bousshine, L.},
	year = {1998},
	pages = {387--398}
}

@article{chaboche_interface_1997,
	title = {on the interface debonding models},
	volume = {6},
	journal = {International Journal of Damage Mechanics},
	author = {Chaboche, J. L. and Girard, R. and Levasseur, P.},
	year = {1997}
}

@article{macdonald_fracture_2014,
	series = {20th {European} {Conference} on {Fracture}},
	title = {Fracture of {Zircaloy}-4 {Fuel} {Cladding} {Tubes} with {Hydride} {Blisters}},
	volume = {3},
	issn = {2211-8128},
	url = {http://www.sciencedirect.com/science/article/pii/S221181281400042X},
	doi = {10.1016/j.mspro.2014.06.041},
	abstract = {The influence of hydride blister on cold worked stress relieved Zircaloy-4 cladding tubes fracture toughness at room temperature was studied using hoop tensile tests and plane strain tensile tests. The experimental macroscopic fracture stress and strain values and an elastic-plastic finite element analysis of the mechanical tests with the CAST3 M code were used to calculate the J-integral and estimate the fracture toughness for several blister depths from 120 to 240 μm.},
	urldate = {2014-09-10},
	journal = {Procedia Materials Science},
	author = {Macdonald, Vincent and Le Boulch, David and Menibus, Arthur Hellouin de and Besson, Jacques and Auzoux, Quentin and Crépin, Jérôme and Le Jolu, Thomas},
	year = {2014},
	keywords = {fracture toughness., fuel cladding, hydride blister, Zircaloy-4},
	pages = {233--238},
	file = {Macdonald et al. - 2014 - Fracture of Zircaloy-4 Fuel Cladding Tubes with Hy.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/RBNAP552/Macdonald et al. - 2014 - Fracture of Zircaloy-4 Fuel Cladding Tubes with Hy.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/AVRQRQFZ/S221181281400042X.html:text/html}
}

@book{demidovitch_elements_1979,
	address = {Moscou},
	title = {éléments de calcul numérique},
	publisher = {Éditions Mir},
	author = {Démidovitch, B. and Maron, I.},
	year = {1979}
}

@techreport{gauvain_fluage_1992,
	title = {Fluage des gaines zircaloy sous fortes contraintes - {Document} n$^{\textrm{{\textbackslash}circ\$}}$2 : résultats des essais d'éclatement et de fluage},
	number = {92/543},
	institution = {CEA DMT},
	author = {Gauvain, J. and Durocher, A. and Pinte, G. and Fleury, J. P.},
	year = {1992}
}

@inproceedings{sercombe_2d_2015,
	address = {Zurich},
	title = {2D simulations of hydride blister cracking during a {RIA} transient with the fuel code {ALCYONE}},
	author = {Sercombe, Jérôme and Le Boulch, David and Le Jolu, Thomas and Hellouin de Menibus, Arthur and Helfer, Thomas and Fédérici, Éric and Bernaudat, Christian},
	month = sep,
	year = {2015}
}

@article{vincent_porous_2009,
	title = {Porous materials with two populations of voids under internal pressure: {I}. {Instantaneous} constitutive relations},
	volume = {46},
	issn = {0020-7683},
	shorttitle = {Porous materials with two populations of voids under internal pressure},
	url = {http://www.sciencedirect.com/science/article/pii/S0020768308003715},
	doi = {10.1016/j.ijsolstr.2008.09.003},
	abstract = {This study is devoted to the mechanical behavior of uranium dioxide (UO2) which is a porous material with two populations of voids of very different size subjected to internal pressure. The smallest voids are intragranular and spherical in shape whereas the largest pores located at the grain boundary are ellipsoidal and randomly oriented. In this first part of the study, attention is focused on the effective properties of these materials with fixed microstructure. In a first step, the poro-elastic properties of these doubly voided materials are studied. Then two rigorous upper bounds are derived for the effective poro-plastic constitutive relations of these materials. The first bound, obtained by generalizing the approach of Gologanu et al. (Gologanu, M., Leblond, J., Devaux, J., 1994. Approximate models for ductile metals containing non-spherical voids-case of axisymmetric oblate ellipsoidal cavities. ASME J. Eng. Mater. Technol. 116, 290–297) to compressible materials, is accurate at high stress-triaxiality. The second one, which derives from the variational method of Ponte Castañeda (Ponte Castañeda, P., 1991. The effective mechanical properties of non-linear isotropic composites. J. Mech. Phys. Solids 39, 45–71), is accurate when the stress triaxiality is low. A N-phase model, inspired by Bilger et al. (Bilger, N., Auslender, F., Bornert, M., Masson, R., 2002. New bounds and estimates for porous media with rigid perfectly plastic matrix. C.R. Mécanique 330, 127–132), is proposed which matches the best of the two bounds at low and high triaxiality. The effect of internal pressures is discussed. In particular it is shown that when the two internal pressures coincide, the effective flow surface of the saturated biporous material is obtained from that of the drained material by a shift along the hydrostatic axis. However, when the two pressures are different, the modifications brought to the effective flow surface in the drained case involve not only a shift along the hydrostatic axis but also a change in shape and size of the surface.},
	number = {3–4},
	urldate = {2014-01-08},
	journal = {International Journal of Solids and Structures},
	author = {Vincent, Pierre-Guy and Monerie, Yann and Suquet, Pierre},
	month = feb,
	year = {2009},
	keywords = {Damage, Micromechanics, Plasticity},
	pages = {480--506},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/3Z28CZDC/Vincent et al. - 2009 - Porous materials with two populations of voids und.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/VM532762/Vincent et al. - 2009 - Porous materials with two populations of voids und.html:text/html}
}

@techreport{marelle_alcyone_2013,
	type = {Note technique},
	title = {Alcyone {V}1.3 : notice de présentation},
	number = {13-034},
	institution = {CEA/DEN/CAD/ DEC/SESC/LSC},
	author = {Marelle, Vincent and Bouineau, Vincent and Bouloré, Antoine and Fillaux, Clara and Goldbronn, Patrick and Helfer, Thomas and Julien, Jérôme and Masson, Renaud and Michel, Bruno and Michel, Frédéric and Noirot, Laurence},
	month = jun,
	year = {2013},
	file = {Marelle et al. - 2013 - Alcyone V1.3  notice de présentation.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/H3SGF3UP/Marelle et al. - 2013 - Alcyone V1.3  notice de présentation.pdf:application/pdf}
}

@article{liebe_aspects_2001,
	title = {some aspects of a gradient damage formulation},
	volume = {10},
	number = {n 2/3/4},
	journal = {Revue Européenne des Eléments Finis},
	author = {Liebe, T. and Steinmann, P. and Benallal, A.},
	year = {2001},
	pages = {157--172}
}

@article{coplien_curiously_1995,
	title = {Curiously recurring template patterns},
	volume = {7},
	number = {2},
	journal = {C++ Report},
	author = {Coplien, James O},
	year = {1995},
	pages = {24--27}
}

@techreport{edf_comportements_2013,
	type = {Référence du {Code} {Aster}},
	title = {Comportements non linéaires},
	url = {http://www.code-aster.org},
	number = {U4.51.11 révision : 10568},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	year = {2013}
}

@techreport{gatt_fracturation_2004,
	title = {Fracturation des combustibles {UO}2 et {UO}2 dopé},
	number = {(à paraître)},
	institution = {SESC/LLCC},
	author = {Gatt, J. M.},
	year = {2004}
}

@inproceedings{arnaud_french_1983,
	address = {Obninsk (USSR)},
	title = {French {LMFBR}'s control rods. {Experience} and development},
	volume = {16},
	abstract = {Since the last ten years, the French program has been, first of all, directed to the setting up, and then the development of, at once, the Phenix control rods, and next the Super-Phenix ones. The vented pin design, with porous plug and sodium bonding which allows the choice of large diameters, has been taken, since the Rapsodie experience was decisive. The absorber material is sintered, 10B enriched, boron carbide. The can is made of 316 type stainless steel, stabilised, or not, with titanium. The experience gained in Phenix up to now is important, and deals with about six loads of control rods. Results confirm the validity of the design of the absorber pins. Some difficulties have been encountered for the guiding devices, due to the swelling of the steel. They have required design and material improvements. Such difficulties are discarded by a new design of the bearing, for the Super-Phenix control rods. The other parts of these rods, from the Primary Shut-Down System, are strictly derived from Phenix. The design of the rods from the Secondary Shut-Down System is rather different, but it's not the case for the design of the absorber pins: in many ways, they are derived from Phenix pins and from Rapsodie control rods. Both types of rod irradiation tests are in progress in Phenix.},
	language = {French},
	booktitle = {{GENERAL} {STUDIES} {OF} {NUCLEAR} {REACTORS} ({E}2400)},
	publisher = {International Atomic Energy Agency},
	author = {Arnaud, G. and Guigon, A. and Verset, L.},
	month = jun,
	year = {1983},
	pages = {29--38},
	file = {16061282.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/22WKC8PJ/16061282.pdf:application/pdf}
}

@article{veldhuizen_expression_1995,
	title = {Expression {Templates}},
	volume = {7},
	journal = {C++ Report},
	author = {Veldhuizen, Todd},
	year = {1995},
	pages = {26--31},
	file = {Citeseer - Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/HZJWDJVC/Veldhuizen - 1995 - Expression Templates.pdf:application/pdf;Citeseer - Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/8MG5MQW9/summary.html:text/html}
}

@book{_manuel_2008,
	title = {Manuel {QSE} de la {DEN}},
	month = oct,
	year = {2008}
}

@techreport{darchi_comportement_1988,
	title = {Comportement sous irradiation des tubes en {Zy}-4 détendus - irradiations {ZS}01, {ZS}02 et {ZSO}3},
	number = {88-1706},
	institution = {CEA/SRMA},
	author = {Darchi and Lehmann and Baicry},
	year = {1988}
}

@article{tijssens_numerical_2000,
	title = {numerical simulation of quasi-brittle fracture using damaging cohesive surfaces},
	volume = {19},
	number = {5},
	journal = {European Journal of Mechanics - A/Solids},
	author = {Tijssens, M. G. A. and Sluys, B. L. J. and Giessen, E. van der},
	year = {2000},
	pages = {761--779}
}

@article{kachanov_elastic_1994,
	title = {elastic solids with many cracks and related problems},
	volume = {30},
	journal = {Advances in applied Mechanics},
	author = {Kachanov, M.},
	year = {1994}
}

@article{perez-foguet_consistent_2001,
	title = {Consistent tangent matrices for substepping schemes},
	volume = {190},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/S0045782500003364},
	doi = {10.1016/S0045-7825(00)00336-4},
	abstract = {A very simple and general expression of the consistent tangent matrix for substepping time-integration schemes is presented. If needed, the derivatives required for the computation of the consistent tangent moduli can be obtained via numerical differentiation. These two strategies (substepping and numerical differentiation) lead to quadratic convergence in complex nonlinear inelasticity problems.},
	number = {35–36},
	urldate = {2014-12-03},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Pérez-Foguet, Agustı́ and Rodrı́guez-Ferran, Antonio and Huerta, Antonio},
	month = jun,
	year = {2001},
	keywords = {Computational plasticity, Finite element method, Nonlinear problems, Numerical differentiation, Quadratic convergence, Substepping},
	pages = {4627--4647},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/XECHRDKQ/Pérez-Foguet et al. - 2001 - Consistent tangent matrices for substepping scheme.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/MQVZAQJD/S0045782500003364.html:text/html}
}

@inproceedings{lainet_recent_2013,
	address = {Paris, France},
	title = {Recent modelling improvements in fuel performance code {GERMINAL} for {SFR} oxide fuel pins},
	abstract = {To support the design studies of ASTRID, the future technological Sodium Fast Reactor demonstrator in France,
the modelling of mixed oxide fuel pins has been improved by developing a new version of GERMINAL fuel
performance code within PLEIADES simulation framework. GERMINAL V2 is using a standard « 1D1⁄2 »
representation of the fuel pin. Thermal analysis and mechanics are now based on finite elements computations.
The fuel pellet is considered as a continuum, with a mechanical behaviour model managing element elimination
during the central hole formation. The expansion due to cracking during heat-up, and later the free volumes
closure between the fragments, are described by two imposed strain terms. By solving the fuel / cladding system
equilibrium, we intend to evaluate the mechanical interaction, which can become significant, and the stresses
induced by swelling gradients in the cladding thickness. Off-normal conditions are simulated by a strong
coupling of thermal-hydraulics in the coolant with the thermal analysis of the fuel pin. A new neutronics scheme
has also been developed, integrating progressively the evolutions of volatile fission products. Their release at
high burn-up causes the “Joint Oxyde-Gaine” formation between pellet and cladding. With a refined prediction
of the JOG composition, we intend to improve the evaluation of heat exchange inside gap at high burn-up, and
also the description of cladding corrosion. Helium production has already been completed, to simulate fuel pins
loaded with minor actinides. All these evolutions implemented in GERMINAL V2 are being validated by
simulating fuel elements irradiated in PHENIX or in CABRI reactor. We are considering objects from different
geometries, with various cladding materials, burn-ups and irradiation histories. The comparisons of the
calculation results with the experimental data show the current abilities and limits of the code, and consequently
the working perspectives we have.},
	booktitle = {Proceedings of the {International} {Conference} on {Fast} {Reactors} and {Related} {Fuel} {Cycles}: {Safe} {Technologies} and {Sustainable} {Scenarios}},
	author = {Lainet, Marc and Bouineau, Vincent and Helfer, Thomas and Pelletier, Michel},
	month = mar,
	year = {2013},
	file = {Lainet et al. - 2013 - Recent modelling improvements in fuel performance .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/CDMND3GR/Lainet et al. - 2013 - Recent modelling improvements in fuel performance .pdf:application/pdf}
}

@techreport{brunon_conception_2009,
	title = {Conception de la plaque {RNR}-{G} : introduction de modèles de pression et d'échange thermique par convection},
	number = {à paraître},
	institution = {DEC/SESC/LC2I},
	author = {Brunon, É},
	year = {2009}
}

@article{takhashi_crack_2003,
	title = {Crack healing behavior and static fatigue strengh of \${\textbackslash}displaystyle {Si}\_3N\_4/{SiC}\$ ceramics held under stress at temperature (\${\textbackslash}displaystyle 800\$,\${\textbackslash}displaystyle 900\$,\${\textbackslash}displaystyle 1000{\textasciicircum}{\textbackslash}{circC}\$)},
	volume = {23},
	journal = {Journal of European Ceramic Society},
	author = {Takhashi, K. and Kim, B.-S. and Chu, M.-C. and Sato, S. and Ando, K.},
	year = {2003},
	pages = {1971--1978}
}

@book{doghri_mechanics_2000,
	address = {Berlin; New York},
	title = {Mechanics of deformable solids: linear, nonlinear, analytical, and computational aspects},
	isbn = {3540669604  9783540669609  3642086292 9783642086298},
	shorttitle = {Mechanics of deformable solids},
	abstract = {"Three subjects of major interest are contained in this textbook: Linear elasticity, mechanics of structures in linear isotropic elasticity, and nonlinear mechanics including computational algorithms. Engineering and mathematics are in a reasonable balance: After the simplest possible, intuitive approach follows the mathematical formulation and analysis. Computational methods occupy a good portion of the book. There are several worked out problems in each chapter and additional exercises at the end of the book. Very often, mathematical expressions are given in more than one notation. The book is intended primarily for students and practising engineers in mechanical and civil engineering. Most of them will be faced with problems of advanced materials and should have a correct understanding of the basic ideas even if they use software to solve them. Students or experts from applied mathematics, materials science and other related fields will also find it useful."--BOOK JACKET.},
	language = {English},
	publisher = {Springer},
	author = {Doghri, Issam},
	year = {2000},
	file = {0092_001.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/W2VRNU7S/0092_001.pdf:application/pdf}
}

@techreport{helfer_revue_2005,
	title = {Revue bibliographique sur la fissuration des matériaux fragiles},
	number = {05-10},
	institution = {DEC/SESC/LLCC},
	author = {Helfer, Thomas and Castelier, Étienne},
	year = {2005}
}

@article{cyr_three_2015,
	title = {A three dimensional (3D) thermo-elasto-viscoplastic constitutive model for {FCC} polycrystals},
	volume = {70},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S0749641915000571},
	doi = {10.1016/j.ijplas.2015.04.001},
	abstract = {Elevated temperature has significant effect on the mechanical response of metals and alloys. Industrial processes often use high temperature forming to fabricate components of complex shape from alloys such as aluminum or magnesium that have low room temperature formability. Accurate forming models to integrate warm forming in computer aided engineering (CAE) in production environment has been hampered by a lack of constitutive relations at elevated temperatures, forcing one to rely on experimental data for such integration. In this paper, a new thermo elasto-viscoplastic (TEV) constitutive relation is developed to model the behavior of face-centred cubic (FCC) polycrystals, especially aluminum alloys, at elevated temperatures. The model takes into account the temperature dependence of the single crystal elastic coefficients, single slip hardening parameters, thermal softening, rate sensitivity, and the total deformation. The TEV framework has been implemented into the commercial finite element code LS-DYNA to study the effects of temperature on metal forming. Uniaxial tension simulations at six different temperatures ranging from 25 °C to 260 °C have been performed and calibrated with published experimental results. Equations for the variation of single-slip hardening parameters with temperature have been developed for the AA5754 aluminum alloy. Shear test simulations at different temperatures have been used to validate the model. The proposed framework for the single slip parameters for uniaxial tension accurately predicts the shear stress-shear strain data without the need for any further fitting parameter. Temperature dependence of texture evolution, single slip hardening and hardening rates, thermal softening, and slip activity in AA5754 sheet alloy during temperatures corresponding to warm forming temperatures are investigated.},
	urldate = {2015-05-20},
	journal = {International Journal of Plasticity},
	author = {Cyr, Edward D. and Mohammadi, Mohsen and Mishra, Raja K. and Inal, Kaan},
	month = jul,
	year = {2015},
	keywords = {A. Cutting and forming, B. Constitutive behavior, B. Crystal plasticity, B. Elastic-viscoplastic material, C. Finite elements},
	pages = {166--190},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/3PEE9T5H/Cyr et al. - 2015 - A three dimensional (3D) thermo-elasto-viscoplasti.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7JB64NFW/S0749641915000571.html:text/html}
}

@article{miehe_coupled_2011,
	title = {Coupled thermoviscoplasticity of glassy polymers in the logarithmic strain space based on the free volume theory},
	volume = {48},
	issn = {0020-7683},
	url = {http://www.sciencedirect.com/science/article/pii/S0020768311000473},
	doi = {10.1016/j.ijsolstr.2011.01.030},
	abstract = {The paper outlines a constitutive model for finite thermo-visco-plastic behavior of amorphous glassy polymers and considers details of its numerical implementation. In contrast to existing kinematical approaches to finite plasticity of glassy polymers, the formulation applies a plastic metric theory based on an additive split of Lagrangian Hencky-type strains into elastic and plastic parts. The analogy between the proposed formulation in the logarithmic strain space and the geometrically linear theory of plasticity, makes this constitutive framework very transparent and attractive with regard to its numerical formulation. The characteristic strain hardening of the model is derived from a polymer network model. We consider the particularly simple eight chain model, but also comment on the recently developed microsphere model. The viscoplastic flow rule in the logarithmic strain space uses structures of the free volume flow theory, which provides a highly predictive modeling capacity at the onset of viscoplastic flow. The integration of this micromechanically motivated approach into a three-dimensional computational model is a key concern of this work. We outline details of the numerical implementation of this model, including elements such as geometric pre- and post-transformations to/from the logarithmic strain space, a thermomechanical operator split algorithm consisting of an isothermal mechanical predictor followed by a heat conduction corrector and finally, the consistent linearization of the local update algorithm for the dissipative variables as well as its relationship to the global tangent operator. The performance of the proposed formulation is demonstrated by means of a spectrum of numerical examples, which we compare with our experimental findings.},
	number = {13},
	journal = {International Journal of Solids and Structures},
	author = {Miehe, Christian and Méndez Diez, Joel and Göktepe, Serdar and Schänzel, Lisa-Marie},
	month = jun,
	year = {2011},
	keywords = {Finite thermoviscoplasticity, Glassy polymers, Logarithmic strains, Network models},
	pages = {1799--1817}
}

@article{fuketa_behavior_2001,
	title = {Behavior of high-burnup pwr fuels with low-tin zircaloy-4 cladding under reactivity-initiated-accident conditions},
	volume = {133},
	issn = {0029-5450},
	url = {http://cat.inist.fr/?aModele=afficheN&cpsidt=871843},
	language = {eng},
	number = {1},
	urldate = {2014-09-18},
	journal = {Nuclear technology},
	author = {Fuketa, Toyoshi and Sasajima, Hideo and Sugiyama, Tomoyuki},
	year = {2001},
	keywords = {Accident, Accident déclenché par réactivité, Accidente, Asia, Asie, Burnup, Clad, Combustible nucléaire, Combustible nuclear, Combustion nucléaire, Combustión nuclear, Corrosion, Corrosión, Estaño aleación, Estudio experimental, Etain alliage, Etude expérimentale, Experimental study, Gaine(combustible), Japan, Japon, Japón, Nuclear fuel, Nuclear reactor, Nuclear safety, Pressurized water reactor, Réacteur eau pressurisée, Réacteur nucléaire, Réacteur recherche, Reactivity initiated accident, Reactor agua a presión, Reactor investigación, Reactor nuclear, Research reactor, Seguridad nuclear, Sûreté nucléaire, Tin alloy, Vaina(combustible), Zircaloy, Zirconio aleación},
	pages = {50--62},
	file = {Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7APQHACR/cat.inist.fr.html:text/html}
}

@article{irons_version_1969,
	title = {A version of the {Aitken} accelerator for computer iteration},
	volume = {1},
	issn = {1097-0207},
	url = {http://dx.doi.org/10.1002/nme.1620010306},
	doi = {10.1002/nme.1620010306},
	number = {3},
	journal = {International Journal for Numerical Methods in Engineering},
	author = {Irons, Bruce M. and Tuck, Robert C.},
	year = {1969},
	pages = {275--277}
}

@techreport{helfer_ajout_2010,
	title = {Ajout de connaissances matériau (propriétes matériau, lois de comportement et modèles - au code {Celaeno} à l'aide générateur code {MFront}},
	number = {10-002},
	institution = {DEC/SESC/LSC},
	author = {Helfer, Thomas and Castelier, Étienne and Bruno, Éric and Gohier, Éric and Bonhomme, Christian},
	year = {2010},
	file = {Helfer et al. - 2010 - Ajout de connaissances matériau (propriétes matéri.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/F6DA6FAU/Helfer et al. - 2010 - Ajout de connaissances matériau (propriétes matéri.pdf:application/pdf}
}

@techreport{muller_recherche_2006,
	type = {rapport de stage d'option scientifique},
	title = {Recherche d'une solution analytique pour le problème mécanique de la pastille combustible en \$2D{\textbackslash}left(r,þeta{\textbackslash}right)\$},
	institution = {École Polytechnique},
	author = {Muller, Sébastien and Helfer, Thomas and Masson, Renaud},
	year = {2006}
}

@article{walz_implicit_1990,
	title = {An implicit integration algorithm for plane stress viscoplastic constitutive equations},
	volume = {36},
	issn = {0045-7949},
	url = {http://www.sciencedirect.com/science/article/pii/004579499090287C},
	doi = {10.1016/0045-7949(90)90287-C},
	abstract = {An implicit integration algorithm, the generalized midpoint rule, is applied to a set of viscoplastic constitutive equations under the plane stress constraint. This constraint is consistently incorporated within the integration scheme without necessitating any additional equation. The resulting system of nonlinear equations is solved by Newton's method. The accuracy and efficiency of the algorithm are underlined by several numerical experiments.},
	number = {3},
	urldate = {2014-01-29},
	journal = {Computers \& Structures},
	author = {Walz, G. and Hornberger, K. and Stamm, H.},
	year = {1990},
	pages = {539--546},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/BBNCZUJ3/Walz et al. - 1990 - An implicit integration algorithm for plane stress.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/UHMJQAAW/004579499090287C.html:text/html}
}

@techreport{baron_notions_2002,
	type = {Cours de l'École {Centrale} de {Nantes}},
	title = {Notions de physique nucléaire et application aux réacteurs},
	institution = {EDF},
	author = {Baron, Daniel},
	year = {2002}
}

@article{warren_determining_1995,
	title = {determining the fracture toughness of brittle materials by hertzian indentation},
	volume = {15},
	journal = {J. Euro. Ceram. Soc.},
	author = {Warren, P. D.},
	year = {1995},
	pages = {385--394}
}

@article{balieu_new_2015,
	title = {A new thermodynamical framework for finite strain multiplicative elastoplasticity coupled to anisotropic damage},
	volume = {70},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S0749641915000492},
	doi = {10.1016/j.ijplas.2015.03.006},
	abstract = {The thermodynamical framework of an elastoplastic model coupled to anisotropic damage is presented in this paper. In the finite strain context, the proposed model is based on the multiplicative decomposition of the strain gradient into elastic and plastic parts. The anisotropic degradation is introduced by means of a second order tensor and another intermediate configuration is introduced by fictitiously removing this degradation from the plastic intermediate configuration. To enhance the physical meaning of the Mandel-like stress measure work conjugated to the inelastic flow stated in this fictitious configuration, i.e. the “effective stress”, a new damage rate tensor is defined with its associated push-forward and pull-back operations. The emphasis in this paper is placed on the description of the interesting properties of the novel definitions of the push-forward and pull-back operations which are discussed through a thermodynamical framework. Furthermore, a specific constitutive model with the plastic and damage flow rules deduced from the restrictions imposed by the second law of thermodynamics is discussed with an application on an asphalt concrete material where the anisotropic evolution of the damage is highlighted.},
	urldate = {2015-05-20},
	journal = {International Journal of Plasticity},
	author = {Balieu, R. and Kringos, N.},
	month = jul,
	year = {2015},
	keywords = {B. Anisotropic material, B. Elastic-plastic material, B. Finite strain, Thermodynamics},
	pages = {126--150},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/6GTT846D/Balieu et Kringos - 2015 - A new thermodynamical framework for finite strain .pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/DGB36AU4/S0749641915000492.html:text/html}
}

@techreport{berna_frapcon-3:_1997,
	title = {{FRAPCON}-3: a computer code for the calculation of steady-state, thermal-mechanical behavior of oxide fuel rods for high burnup.},
	institution = {Pacific Northwest National Laboratory},
	author = {Berna, G. and Beyer, C. and Davis, K. and Lanning, D.},
	year = {1997}
}

@article{xu_effect_1997,
	title = {effect of inhomogeneities on dynamic crack growth in an elastic solid},
	volume = {5},
	journal = {Modelling Simul. Mater. Sci. Eng.},
	author = {Xu, X.-P. and Needleman, A. and Abraham, Farid F.},
	year = {1997},
	pages = {489--516}
}

@techreport{agard_meteor_2008,
	title = {{METEOR} {V}2 : notice de présentation},
	number = {08-015 - PLE 08-008},
	institution = {DEC/SESC/LSC},
	author = {Agard, Mireille and Bouloré, Antoine and Frédérici, Éric and Noirot, Laurence and Plancq, David and Ricaud, Jean-Marc and Struzik, Christine},
	month = may,
	year = {2008},
	file = {Agard et al. - 2008 - METEOR V2  notice de présentation.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/UMMBMA9B/Agard et al. - 2008 - METEOR V2  notice de présentation.pdf:application/pdf}
}

@techreport{gosset_elements_1994,
	title = {Éléments pour la mise à jour du document {SYFRA} øg {Caractéristiques} du carbure de bore irradié {\textbackslash}fg},
	number = {DMT/94-546 DMT/SETIC/LEMA/94-061},
	institution = {DMT/SETIC/LEMA},
	author = {Gosset, D.},
	year = {1994}
}

@techreport{garcia_synthese_2002,
	title = {synthèse des observations et des mécanismes associés à la restructuration à forts taux de combustion de oxydes nucléaires},
	institution = {DEC/SESC/LLCC},
	author = {Garcia, P.},
	month = oct,
	year = {2002}
}

@techreport{ravenet_dimensionnement_1988,
	title = {Dimensionnement mécanique des plaquettes de lassemblage combustible de la 3ıeme charge équipé d'un {TH} en {EM}10},
	number = {88/1012},
	institution = {SSTC/LMCC},
	author = {Ravenet, A.},
	month = mar,
	year = {1988}
}

@techreport{edf_mfront01_2014,
	type = {Référence du {Code} {Aster}},
	title = {{MFRONT}01 – {Test} de l'interface {Code}\_Aster-{MFRONT} avec les lois de {Chaboche}},
	url = {http://www.code-aster.org},
	number = {V1.03.126},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	month = apr,
	year = {2014}
}

@techreport{helfer_utilisation_2007,
	title = {Utilisation de lois externes dans {Cast}3M : intégration à l'application {Celaeno}},
	number = {07-001 PLE 07-001},
	institution = {DEC/SESC/LSC},
	author = {Helfer, Thomas and Castelier, Étienne},
	year = {2007}
}

@article{jiang_non-uniform_2013,
	title = {A non-uniform transformation field analysis for frictional cohesive geomaterials},
	volume = {42},
	issn = {0997-7538},
	url = {http://www.sciencedirect.com/science/article/pii/S0997753813000478},
	doi = {10.1016/j.euromechsol.2013.04.004},
	abstract = {This paper is devoted to the micromechanical analysis of effective behavior of heterogeneous materials with pressure-dependent plastic constituents. The micromechanical model is based on an extension of the NTFA method proposed by Michel and Suquet (2003, 2004). The local plastic strain field is divided into a volumetric part and a deviatoric part. Each part is expressed as a linear combination of relevant non-uniform plastic strain fields, called “plastic modes”. The non-uniform microscopic strain fields are thus described by a finite number of reduced internal variables. And the local constitutive models are then reformulated in terms of such variables. The proposed model is applied to two typical heterogeneous materials: inclusion reinforced composite and porous material. Numerical results obtained by the NTFA are compared with the direct finite element solutions. In particular, the macroscopic yield stresses of porous materials are compared between the NTFA and some recently proposed analytical criteria. Finally, as an application example, the micromechanical model is used to simulate laboratory tests performed on porous sandstone.},
	urldate = {2015-04-21},
	journal = {European Journal of Mechanics - A/Solids},
	author = {Jiang, T. and Shao, J. F. and Xu, W. Y.},
	month = nov,
	year = {2013},
	keywords = {Homogenization, Micromechanics, NTFA},
	pages = {97--111},
	file = {Jiang et al. - 2013 - A non-uniform transformation field analysis for fr.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/UEDIIE83/Jiang et al. - 2013 - A non-uniform transformation field analysis for fr.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7C8BHUVN/S0997753813000478.html:text/html}
}

@article{cendon_modelling_2000,
	title = {modelling the fracture of concrete under mixed loading},
	volume = {103},
	journal = {International Journal of Fracture},
	author = {Cendón, D. A. and Gálvez, J. C. and Elices, M. and Planas, J.},
	year = {2000},
	pages = {293--310}
}

@techreport{helfer_implementation_2005,
	title = {Implémentation du module mécanique {Mefisto} sous {Zebulon}},
	number = {05-001 -PLE 05-002},
	institution = {DEN/DEC/SESC/LLCC},
	author = {Helfer, Thomas and Castelier, Étienne},
	month = jan,
	year = {2005}
}

@article{garikipati_elastica-based_2008,
	title = {Elastica-based strain energy functions for soft biological tissue},
	volume = {56},
	issn = {0022-5096},
	url = {http://www.sciencedirect.com/science/article/pii/S0022509607001597},
	doi = {10.1016/j.jmps.2007.07.005},
	abstract = {Continuum strain energy density functions are developed for soft biological tissues that possess slender, fibrillar components. The treatment is based on the model of an elastica, which is our fine scale model, and is homogenized in a simple fashion to obtain a continuum strain energy density function. Notably, we avoid solving the exact, fourth-order, non-linear, partial differential equation for deformation of the elastica by resorting to other assumptions, kinematic and energetic, on the response of individual, elastica-like fibrils. The formulation, discussion of responses of different models and comparison with experiment are presented.},
	number = {4},
	journal = {Journal of the Mechanics and Physics of Solids},
	author = {Garikipati, K. and Göktepe, S. and Miehe, C.},
	month = apr,
	year = {2008},
	keywords = {Entropic elasticity, Kinematic constraints, Stationary energy},
	pages = {1693--1713}
}

@techreport{aufaure_algorithme_1995,
	type = {référence du {Code} {Aster}},
	title = {Algorithme non linéaire dynamique du {Code} {Aster}},
	url = {http://www.code-aster.org},
	number = {R5.05.05},
	institution = {EDF/IMA/MMN},
	author = {Aufaure, M.},
	year = {1995}
}

@article{michel_nonuniform_2003,
	series = {Special issue in {Honor} of {George} {J}. {Dvorak}},
	title = {Nonuniform transformation field analysis},
	volume = {40},
	issn = {0020-7683},
	url = {http://www.sciencedirect.com/science/article/pii/S0020768303003469},
	doi = {10.1016/S0020-7683(03)00346-9},
	abstract = {The exact description of the overall behavior of composites with nonlinear dissipative phases requires an infinity of internal variables. Approximate models involving only a finite number of those can be obtained by considering a decomposition of the microscopic anelastic strain field on a finite set of transformation fields. The Transformation Field Analysis of Dvorak [Proc. R. Soc. Lond. A 437 (1992) 311] corresponds to piecewise uniform transformation fields. The present theory considers nonuniform transformation fields. Comparison with numerical simulations shows the accuracy of the proposed model.},
	number = {25},
	urldate = {2015-04-21},
	journal = {International Journal of Solids and Structures},
	author = {Michel, J. C. and Suquet, P.},
	month = dec,
	year = {2003},
	keywords = {Composite materials, Plasticity, Transformation strain analysis, Viscoplasticity},
	pages = {6937--6955},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/PR6FRTCV/Michel et Suquet - 2003 - Nonuniform transformation field analysis.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/ZGH9QR7T/S0020768303003469.html:text/html}
}

@article{ricaud_effective_2009,
	title = {Effective properties of linear viscoelastic heterogeneous media: {Internal} variables formulation and extension to ageing behaviours},
	volume = {46},
	journal = {Int. J. of Solids and Structures},
	author = {Ricaud, J.-M. and Masson, R.},
	year = {2009},
	pages = {1599--1606}
}

@inproceedings{lainet_recent_2013-1,
	address = {Paris, France},
	title = {Recent modelling improvements in fuel performance code {GERMINAL} for {SFR} oxide fuel pins},
	abstract = {To support the design studies of ASTRID, the future technological Sodium Fast Reactor demonstrator in France,
the modelling of mixed oxide fuel pins has been improved by developing a new version of GERMINAL fuel
performance code within PLEIADES simulation framework. GERMINAL V2 is using a standard « 1D1⁄2 »
representation of the fuel pin. Thermal analysis and mechanics are now based on finite elements computations.
The fuel pellet is considered as a continuum, with a mechanical behaviour model managing element elimination
during the central hole formation. The expansion due to cracking during heat-up, and later the free volumes
closure between the fragments, are described by two imposed strain terms. By solving the fuel / cladding system
equilibrium, we intend to evaluate the mechanical interaction, which can become significant, and the stresses
induced by swelling gradients in the cladding thickness. Off-normal conditions are simulated by a strong
coupling of thermal-hydraulics in the coolant with the thermal analysis of the fuel pin. A new neutronics scheme
has also been developed, integrating progressively the evolutions of volatile fission products. Their release at
high burn-up causes the “Joint Oxyde-Gaine” formation between pellet and cladding. With a refined prediction
of the JOG composition, we intend to improve the evaluation of heat exchange inside gap at high burn-up, and
also the description of cladding corrosion. Helium production has already been completed, to simulate fuel pins
loaded with minor actinides. All these evolutions implemented in GERMINAL V2 are being validated by
simulating fuel elements irradiated in PHENIX or in CABRI reactor. We are considering objects from different
geometries, with various cladding materials, burn-ups and irradiation histories. The comparisons of the
calculation results with the experimental data show the current abilities and limits of the code, and consequently
the working perspectives we have.},
	booktitle = {Proceedings of the {International} {Conference} on {Fast} {Reactors} and {Related} {Fuel} {Cycles}: {Safe} {Technologies} and {Sustainable} {Scenarios}},
	author = {Lainet, Marc and Bouineau, Vincent and Helfer, Thomas and Pelletier, Michel},
	month = mar,
	year = {2013}
}

@article{darvishi_fourth-order_2007,
	title = {A fourth-order method from quadrature formulae to solve systems of nonlinear equations},
	volume = {188},
	issn = {0096-3003},
	url = {http://www.sciencedirect.com/science/article/pii/S0096300306013476},
	doi = {10.1016/j.amc.2006.09.115},
	abstract = {In this paper, we obtain a fourth-order convergence method to solve systems of nonlinear equations. This method is based on a quadrature formulae. A general error analysis providing the fourth order of convergence is given. Numerical examples show the fourth-order convergence. This method does not use the second-order Fréchet derivative.},
	number = {1},
	urldate = {2014-08-27},
	journal = {Applied Mathematics and Computation},
	author = {Darvishi, M. T. and Barati, A.},
	month = may,
	year = {2007},
	keywords = {Convergence, Quadrature formula, Systems of nonlinear equations},
	pages = {257--261},
	file = {Darvishi et Barati - 2007 - A fourth-order method from quadrature formulae to .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/X4SVXDW8/Darvishi et Barati - 2007 - A fourth-order method from quadrature formulae to .pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/U9PK6GWC/S0096300306013476.html:text/html}
}

@article{peerlings_critical_2001,
	title = {A critical comparison of non local and gradient-enhanced softening continua},
	volume = {38},
	journal = {International Journal of Solids and Structures},
	author = {Peerlings, R. H. J. and Geers, M. G. D. and Borst, R. de and Brekelmans, W. A. M.},
	year = {2001},
	pages = {7723--7746}
}

@misc{goodfellow_stainless_2014,
	title = {Stainless {Steel} - {AISI} 347 ({Fe}/{Cr}18/{Ni}10/{Nb})},
	url = {http://www.goodfellow.com/E/Stainless-Steel-AISI-347.html},
	author = {Goodfellow},
	month = jan,
	year = {2014}
}

@article{simo_consistent_1985,
	title = {Consistent tangent operators for rate-independent elastoplasticity},
	volume = {48},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/0045782585900702},
	doi = {10.1016/0045-7825(85)90070-2},
	abstract = {It is shown that for problems involving rate constitutive equations, such as rate-independent elastoplasticity, the notion of consistency between the tangent (stiffness) operator and the integration algorithm employed in the solution of the incremental problem, plays a crucial role in preserving the quadratic rate of asymptotic convergence of iterative solution schemes based upon Newton's method. Within the framework of closest-point-projection algorithms, a methodology is presented whereby tangent operators consistent with this class of algorithms may be systematically developed. To wit, associative J2 flow rules with general nonlinear kinematic and isotropic hardening rules, as well as a class of non-associative flow rules are considered. The resulting iterative solution scheme preserves the asymptotic quadratic convergence characteristic of Newton's method, whereas use of the socalled elastoplastic tangent in conjunction with a radial return integration algorithm, a procedure often employed, results in Newton type of algorithms with suboptimal rate of convergence. Application is made to a set of numerical examples which include saturation hardening laws of exponential type.},
	number = {1},
	urldate = {2014-04-02},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Simo, J. C. and Taylor, R. L.},
	month = feb,
	year = {1985},
	pages = {101--118},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/I3TFGKIR/0045782585900702.html:text/html;Simo et Taylor - 1985 - Consistent tangent operators for rate-independent .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/JGMXBK44/Simo et Taylor - 1985 - Consistent tangent operators for rate-independent .pdf:application/pdf}
}

@book{houellebecq_soumission_2015,
	address = {Paris},
	title = {Soumission},
	isbn = {9782081354807},
	abstract = {Dans une France assez proche de la nôtre, un homme s'engage dans la carrière universitaire. peu motivé par l'enseignement, il s'attend à une vie ennuyeusemais calme, protégée des grands drames historiques. Cependant les forces en jeu dans le pays ont fissuré le système politique jusqu'à provoquer son effondrement. Cette implosion sans soubresauts, sans vraie révolution, se développe comme un muavais rêve.Le talent de l'auteur, sa force visionnaire nous entraînent sur un terrain ambigu et glissant ; son regard sur notre civilisation vieillissante fait coexister dans ce roman les intuitions poétiques, les effets comiques, une mélancolie fataliste. Ce livre est une saisissante fable politique et morale.},
	language = {Français},
	publisher = {FLAMMARION},
	author = {Houellebecq, Michel},
	month = jan,
	year = {2015}
}

@techreport{marelle_alcyone_2013-1,
	type = {Note technique},
	title = {Alcyone {V}1.4 : {Notice} d'utilisation},
	abstract = {Ce document constitue la notice d’utilisation de la version 1.4 du code ALCYONE qui est l’application de référence dans la plate-forme PLEIADES pour l’analyse multidimensionnelle du comportement thermo-mécanique et physico-chimique d’un crayon combustible en Réacteur à Eau Pressurisée.

Cette notice d’utilisation décrit les pré-requis nécessaires à l’utilisation d’ALCYONE, la manière de lancer des calculs, les différentes rubriques présentes dans les jeux de données et enfin les différentes possibilités de post-traitement offertes à l’utilisateur.

Cette version fait l’objet d’un dossier de validation en irradiation de base, en rampe de puissance et en situations de transitoires rapides (APRP et RIA) pour les schémas 1D crayon, 2DRT et 3D.},
	number = {13-033},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Marelle, Vincent},
	month = dec,
	year = {2013},
	file = {Marelle - 2013 - Alcyone V1.4  Notice d'utilisation.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/UVTC6W7M/Marelle - 2013 - Alcyone V1.4  Notice d'utilisation.pdf:application/pdf}
}

@article{ladeveze_constitutive_2000,
	series = {{IVth} {World} {Congress} on {Computational} {Mechanics}. ({II}). {Optimum}},
	title = {Constitutive relation error estimators for time-dependent non-linear {FE} analysis},
	volume = {188},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/S0045782599003618},
	doi = {10.1016/S0045-7825(99)00361-8},
	abstract = {The paper deals with error estimators based on residuals on the constitutive relation which has been developed for the past 20 years at Cachan. Recent advances are shown, especially for time-dependent non-linear FE analysis.},
	number = {4},
	urldate = {2015-01-05},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Ladevèze, Pierre},
	month = aug,
	year = {2000},
	keywords = {Adaptivity, Error estimator, Non-linear},
	pages = {775--788},
	file = {Ladevèze - 2000 - Constitutive relation error estimators for time-de.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/KSB8QRSN/Ladevèze - 2000 - Constitutive relation error estimators for time-de.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/XV7MS8TQ/S0045782599003618.html:text/html}
}

@article{valoroso_consistent_2009-1,
	title = {Consistent derivation of the constitutive algorithm for plane stress isotropic plasticity. {Part} {II}: {Computational} issues},
	volume = {46},
	issn = {0020-7683},
	shorttitle = {Consistent derivation of the constitutive algorithm for plane stress isotropic plasticity. {Part} {II}},
	url = {http://www.sciencedirect.com/science/article/pii/S0020768308003417},
	doi = {10.1016/j.ijsolstr.2008.08.021},
	abstract = {The implementation of the projected algorithm and of the consistent tangent tensor for general isotropic three-invariant elastoplastic models under plane stress conditions discussed in Part I of this paper [Valoroso, N., Rosati, L., 2008. Consistent derivation of the constitutive algorithm for plane stress isotropic plasticity. Part I: Theoretical formulation. International Journal of Solids and Structures, doi: 10.1016/j.ijsolstr.2008.08.012.] is addressed. The connections between the general three-dimensional case and the plane stress problem are analyzed in detail and an algorithmic treatment taking full advantage of the isotropic properties of the model is presented. In particular, intrinsic (matrix-free) expressions are provided for all steps of the stress computation scheme that allow one to carry out the numerical implementation in a way that is completely independent from the matrix representations. The numerical performances of the present solution scheme are evaluated through representative numerical examples.},
	number = {1},
	urldate = {2014-01-29},
	journal = {International Journal of Solids and Structures},
	author = {Valoroso, Nunziante and Rosati, Luciano},
	month = jan,
	year = {2009},
	keywords = {Consistent tangent, Finite elements, Numerical algorithms, Plane stress elastoplasticity, Return mapping},
	pages = {92--124},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/KTKZWTIR/Valoroso et Rosati - 2009 - Consistent derivation of the constitutive algorith.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/E8G2HTP2/S0020768308003417.html:text/html}
}

@book{_note_2006,
	title = {Note de fonctionnement du sous-processus de réalisation \${R}1.2\$ {DEC}},
	number = {DEC R1.2 DEC NF01},
	year = {2006}
}

@techreport{le_flem_proprietes_2008,
	title = {Propriétés et comportement mécanique d'alliages de vanadium, avant, après et sous irradiation},
	number = {2008-2967/A},
	institution = {DMN/SRMA/LA2M},
	author = {Le Flem, M. and Béchade, J.-L. and Bougault, A. and Michaux, A. and Gosmain, L. and Seran, J.-L.},
	year = {2008}
}

@article{critescu_irreversible_1985,
	title = {Irreversible dilatancy or compressibility of viscoplastic rock-like materials and some applications},
	volume = {1},
	journal = {International Journal of Plasticity},
	author = {Critescu, N.},
	year = {1985},
	pages = {189--204}
}

@article{sauter_modeling_2003,
	title = {Modeling of the non-monotonous viscoplastic behavior of uranium dioxide},
	volume = {322},
	issn = {0022-3115},
	url = {http://www.sciencedirect.com/science/article/pii/S0022311503002769},
	doi = {10.1016/S0022-3115(03)00276-9},
	abstract = {In order to evaluate the stress level during pellet cladding mechanical interaction (PCMI), Electricité de France is involved in a large program of investigation of the mechanical properties of both fuel pellets and claddings. In this paper, we focus on the mechanical behavior of uranium dioxide. These pellets exhibit a yield point during strain hardening tests and sigmoı̈dal creep curves, that is inflection points characteristic of a non-monotonous viscoplastic flow in the first stages of the tests. Inspired by Alexander and Haasen’s work upon single crystal silicon, we develop a dislocation-based model that is able to describe the viscoplasticity of uranium dioxide in the range of temperature and stress of the PCMI. After developing this model, we introduce it into the Pilvin’s polycrystalline approach. The self-consistency of the polycrystalline approach in the case of a non-monotonous viscoplastic flow is demonstrated in an independent article.},
	number = {1},
	urldate = {2014-01-08},
	journal = {Journal of Nuclear Materials},
	author = {Sauter, F and Leclercq, S},
	month = oct,
	year = {2003},
	pages = {1--14},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/NEFZFHT5/Sauter and Leclercq - 2003 - Modeling of the non-monotonous viscoplastic behavi.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/ECKXGFH5/Sauter and Leclercq - 2003 - Modeling of the non-monotonous viscoplastic behavi.html:text/html}
}

@unpublished{li_irradiation_2009,
	title = {Irradiation {Creep} of the {US} {Heat} 832665 of {V}-4Cr-4Ti},
	author = {Li, Meimei and Hoelzer, D. T. and Grossbeck, M. L. and Rowcliffe, A. F. and Zinkle, S. J. and R.J},
	year = {2009},
	note = {accepté dans Journal of Nuclear Materials}
}

@techreport{marelle_alcyone_2011,
	title = {Alcyone {V}1.2.3 - notice d'utilisation},
	number = {11-012},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Marelle, Vincent and Thouvenin, Gilles},
	year = {2011}
}

@techreport{pelletier_concept_2010,
	title = {Concept de crayon {REP} à gaine céramique - première évaluation du comportement},
	number = {10 - 043},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Pelletier, M.},
	year = {2010}
}

@book{francois_comportement_1992,
	address = {Paris},
	title = {Comportement mécanique des matériaux: élasticité et plasticité},
	isbn = {286601314X 9782866013141},
	shorttitle = {Comportement mécanique des matériaux},
	language = {French},
	publisher = {Hermes},
	author = {François, Dominique and Pineau, André and Zaoui, André},
	year = {1992}
}

@article{sercombe_stress_2013,
	title = {Stress concentration during pellet cladding interaction: {Comparison} of closed-form solutions with 2D(r,θ) finite element simulations},
	volume = {260},
	issn = {0029-5493},
	shorttitle = {Stress concentration during pellet cladding interaction},
	url = {http://www.sciencedirect.com/science/article/pii/S0029549313001611},
	doi = {10.1016/j.nucengdes.2013.03.019},
	abstract = {This paper presents two closed-form solutions that can be used to enrich the mechanical description of fuel pellets and cladding behavior in standard one-dimensional based fuel performance codes. The first one is concerned with the estimation of the opening of a radial crack in a pellet fragment induced by the radial thermal gradient in the pellet and limited by the pellet-clad contact pressure. The second one describes the stress distribution in a cladding bore in front of an opening pellet crack. A linear angular variation of the pellet-clad contact pressure and a constant prescribed radial displacement are considered. The closed-form solutions are checked by comparison to independent finite element models of the pellet fragment and of the cladding. Their ability to describe non-axisymmetric displacement and stress fields during loading histories representative of base irradiation and power ramps is then demonstrated by cross-comparison with the 2D pellet fragment-cladding model of the multi-dimensional fuel performance code ALCYONE. The calculated radial crack opening profiles at different times and the hoop stress concentration in the cladding at the top of the ramp are found in good agreement with ALCYONE.},
	urldate = {2014-09-30},
	journal = {Nuclear Engineering and Design},
	author = {Sercombe, Jérôme and Masson, Renaud and Helfer, Thomas},
	month = jul,
	year = {2013},
	pages = {175--187},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/X97C4QXH/S0029549313001611.html:text/html;Sercombe et al. - 2013 - Stress concentration during pellet cladding intera.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/W5SD3QPW/Sercombe et al. - 2013 - Stress concentration during pellet cladding intera.pdf:application/pdf}
}

@techreport{escleine_conception_2010,
	title = {Conception d'un système passif d'insertion d'anti-réactivité ({SEPIA}) pour {RNR}-{NA} ({SFR}) : état des lieux et éléments d'orientation},
	number = {09-010},
	institution = {CEA DEN/DEC/SESC/LLCC},
	author = {Escleine, J.M.},
	year = {2010}
}

@misc{milliard_mechanical_2014,
	address = {KTH Stockholm},
	type = {Soutenance de stage},
	title = {Mechanical behavior of hexagonal tubes during accidental situation},
	author = {Milliard, Franck},
	month = feb,
	year = {2014},
	file = {2014-02-21-Soutenance-Franck-Milliard-EM10.pptx:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/INQZSMM9/2014-02-21-Soutenance-Franck-Milliard-EM10.pptx:application/vnd.openxmlformats-officedocument.presentationml.presentation}
}

@techreport{helfer_releve_2014,
	type = {Compte-rendu de réunion},
	title = {Relevé de décision suite à la réunion du 14/02/2014 intitulée "{Calcul} {Alcyone} présentant de nombreux cycles".},
	language = {français},
	number = {14-007},
	institution = {CEA DEN/DESC/SESC/LSC},
	author = {Helfer, Thomas},
	month = feb,
	year = {2014},
	file = {Helfer - 2014 - Relevé de décision suite à la réunion du 1402201.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/WIGR77KD/Helfer - 2014 - Relevé de décision suite à la réunion du 1402201.pdf:application/pdf}
}

@article{rousselier_combining_2015,
	title = {Combining porous plasticity with {Coulomb} and {Portevin}-{Le} {Chatelier} models for ductile fracture analyses},
	volume = {69},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S0749641915000388},
	doi = {10.1016/j.ijplas.2015.02.008},
	abstract = {For large void volume fraction, the Rousselier porous plasticity model transforms naturally into a coalescence model, in the whole range of stress triaxiality, in agreement with the necessary kinematic coalescence condition (NKCC). It enables to model slant fracture in notched tensile or cracked specimens. Nevertheless, void coalescence is not the single mechanism involved in slant fracture. That is why it is necessary to combine porous plasticity with other models. In this paper, the Coulomb fracture model and the Portevin-Le Chatelier (PLC) model (or dynamic strain aging: DSA) are formulated at the slip system scale. The Coulomb model combines the resolved normal and shear stresses for each slip plane and direction. For DSA, we postulate that each slip system has its own history of dislocation pinning and unpinning by solute atoms. The models are fully coupled in the framework of classical polycrystalline plasticity. A Reduced Texture Methodology (RTM) is used to provide the computational efficiency needed for numerical applications. The RTM approach involves a significant reduction of the number of representative crystallographic orientations. The models are applied to a notched tensile specimen taken from a 6260 aluminum alloy thin-walled extrusion. Fractographic examinations show a combination of dimples and large smooth areas on the slant fracture surface (mixed fracture). It highlights the need for combined fracture models. The PLC model gives very sharp oscillations of the macroscopic plastic strain rate, associated with moving plastic strain rate bands. It leads to a significant reduction of ductility compared to porous plasticity alone.},
	urldate = {2015-04-13},
	journal = {International Journal of Plasticity},
	author = {Rousselier, Gilles and Quilici, Stéphane},
	month = jun,
	year = {2015},
	keywords = {A. Dynamic strain aging, A. Fracture mechanisms, B. Aluminum alloy, B. Polycrystalline material, C. Finite elements},
	pages = {118--133},
	file = {Rousselier et Quilici - 2015 - Combining porous plasticity with Coulomb and Porte.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/VZEZVIHB/Rousselier et Quilici - 2015 - Combining porous plasticity with Coulomb and Porte.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/XKV946VS/S0749641915000388.html:text/html}
}

@article{elices_cohesive_2002,
	title = {the cohesive zone model: advantages, limitations and challenges},
	volume = {69},
	journal = {Engineering Fracture Mechanics},
	author = {Elices, M. and Guinea, G. V. and Gómez, J. and Planas, J.},
	year = {2002},
	pages = {137--163}
}

@inproceedings{whaley_automatically_1998,
	title = {Automatically tuned linear algebra software},
	booktitle = {{CONFERENCE} {ON} {HIGH} {PERFORMANCE} {NETWORKING} {AND} {COMPUTING}},
	publisher = {IEEE Computer Society},
	author = {Whaley, R. Clint and Dongarra, Jack J.},
	year = {1998},
	pages = {1--27}
}

@article{ohno_elastoplastic_2013,
	title = {Elastoplastic implicit integration algorithm applicable to both plane stress and three-dimensional stress states},
	volume = {66},
	issn = {0168-874X},
	url = {http://www.sciencedirect.com/science/article/pii/S0168874X12002041},
	doi = {10.1016/j.finel.2012.11.001},
	abstract = {An elastoplastic implicit integration algorithm applicable to both plane stress and three-dimensional stress states is developed for a general class of combined nonlinear kinematic–isotropic hardening models. The algorithm is first built for three-dimensional stress states in a general manner using the return mapping procedure and the Newton–Raphson method. The plane stress constraint is then incorporated into the Newton–Raphson iteration loop derived for three-dimensional stress states. The resulting algorithm has a mode patch that makes the algorithm applicable to both plane stress and three-dimensional stress states. The algorithm is specified by assuming an advanced evolution model of multiple back stresses, and is verified by performing numerical tests using plane stress, shell, and brick elements. The numerical tests are finite element analyses of homogeneously deformed plates and a cyclically loaded single-hole plate. It is demonstrated that the developed algorithm provides the quadratic convergence of iterations for implicit stress integration in plane stress, shell, and brick elements. It is also demonstrated that the algorithm is stable even in large incremental steps.},
	urldate = {2014-01-29},
	journal = {Finite Elements in Analysis and Design},
	author = {Ohno, Nobutada and Tsuda, Masatoshi and Kamei, Takafumi},
	month = apr,
	year = {2013},
	keywords = {Constitutive models, Implicit integration, Plane stress, Plasticity, Three-dimensional stress},
	pages = {1--11},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/ZRSI7ZQJ/Ohno et al. - 2013 - Elastoplastic implicit integration algorithm appli.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/6CUGKR3E/S0168874X12002041.html:text/html}
}

@article{guerin_comportement_1985,
	title = {le comportement mécanique du combustible nucléaire sous irradiation},
	volume = {10},
	journal = {Ann. Chim. Fr.},
	author = {Guérin, Y.},
	year = {1985},
	pages = {405--414}
}

@article{schieck_appropriate_1995,
	title = {The appropriate corotational rate, exact formula for the plastic spin and constitutive model for finite elastoplasticity},
	volume = {32},
	issn = {0020-7683},
	url = {http://www.sciencedirect.com/science/article/pii/002076839500007W},
	doi = {10.1016/0020-7683(95)00007-W},
	abstract = {The exact formulae for the plastic and the elastic spin referred to the deformed configuration are derived, where the plastic spin is a function of the plastic strain rate and the elastic spin a function of the elastic strain rate. With these exact formulae we determine the macroscopic substructure spin that allows us to define the appropriate corotational rate for finite elastoplasticity.

Plastic, elastic and substructure spin are considered and simplified for various sub-classes of restricted elastic-plastic strains. It is shown that for the special cases of rigid-plasticity and hypoelasticity the proposed corotational rate is identical with the Green-Naghdi rate, while the ZarembaJaumann rate yields a good approximation for moderately large strains.

To compare our exact plastic spin formula with the constitutive assumption for the plastic spin introduced by Dafalias and others, we simplify our result for small elastic-moderate plastic strains and introduce a simplest evolution law for kinematic hardening leading to the Dafalias formula and to an exact determination of its unknown coefficient. It is also shown that contrary to statements in the literature the plastic spin is not zero for vanishing kinematic hardening.

For isotropic-elastic material with induced plastic flow undergoing isotropic and kinematic hardening constitutive and evolution laws are proposed. Elastic and plastic Lagrangean and Eulerian logarithmic strain measures are introduced and their material time derivatives and corotational rates, respectively, are considered. Finally, the elastic-plastic tangent operator is derived.

The presented theory is implemented in a solution algorithm and numerically applied to the simple shear problem for finite elastic-finite plastic strains as well as for sub-classes of restricted strains. The results are compared with those of the literature and with those obtained by using other corotational rates.},
	number = {24},
	urldate = {2014-01-06},
	journal = {International Journal of Solids and Structures},
	author = {Schieck, B. and Stumpf, H.},
	month = dec,
	year = {1995},
	pages = {3643--3667},
	file = {Schieck et Stumpf - 1995 - The appropriate corotational rate, exact formula f.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/QXG2HF3A/Schieck et Stumpf - 1995 - The appropriate corotational rate, exact formula f.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/5S2X669M/002076839500007W.html:text/html}
}

@book{wikipedia_name_2009,
	title = {Name mangling},
	url = {http://en.wikipedia.org/wiki/Name_mangling#Name_mangling_in_C.2B.2B},
	author = {Wikipédia},
	year = {2009}
}

@article{naghdi_critical_1990,
	title = {A critical review of the state of finite plasticity},
	abstract = {The object of this paper is to provide a critical review of the current state of plasticity in the presence of finite deformation},
	journal = {Journal of Applied Mathematics and Physics},
	author = {Naghdi, P.M.},
	month = may,
	year = {1990},
	pages = {315--394},
	file = {Naghdi - 1990 - A critical review of the state of finite plasticit.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/WGAP5PWV/Naghdi - 1990 - A critical review of the state of finite plasticit.pdf:application/pdf}
}

@article{lorentz_variational_1999,
	title = {A variational formulation for nonlocal damage models},
	volume = {15},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S0749641998000576},
	doi = {10.1016/S0749-6419(98)00057-6},
	abstract = {To control localization phenomena exhibited by strain softening constitutive relations, several issues have been proposed by various authors, based on spatial regularization. In this paper, we define a variational framework, thought to encompass some of these issues: the constitutive relations are written at the structural scale and become minimization problems. Such a framework is not only well-suited to the mathematical study of the boundary value problem, but also leads in a natural way to an efficient numerical algorithm. The formulation is first presented, then applied to several classes of models existing in the literature : a homogenization-based constitutive relation, a porosity model and gradient plasticity. Besides the higher degree of generality confered by the formulation, it will be shown that several properties can be obtained for these models.},
	number = {2},
	urldate = {2014-09-30},
	journal = {International Journal of Plasticity},
	author = {Lorentz, E. and Andrieux, S.},
	month = mar,
	year = {1999},
	keywords = {Constitutive behaviour, Energy methods, Fracture, Numerical algorithms},
	pages = {119--138},
	file = {Lorentz et Andrieux - 1999 - A variational formulation for nonlocal damage mode.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/N8IG7SSD/Lorentz et Andrieux - 1999 - A variational formulation for nonlocal damage mode.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/EJTB5MS7/S0749641998000576.html:text/html}
}

@techreport{castelier_identification_2011,
	title = {Identification d'un modèle de comportement mécanique pour les tubes de composite {SiC}/{SiC}},
	number = {11-001},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Castelier, Étienne},
	month = jan,
	year = {2011}
}

@article{dhamacharoen_efficient_2014,
	title = {An efficient hybrid method for solving systems of nonlinear equations},
	volume = {263},
	issn = {0377-0427},
	url = {http://www.sciencedirect.com/science/article/pii/S0377042713006766},
	doi = {10.1016/j.cam.2013.12.006},
	abstract = {This paper focuses on methods of solving systems of nonlinear equations that require fewer computations than those using regular methods. The proposed method presents a new technique to approximate the Jacobian matrix needed in the process, which still retains the good features of Newton’s type methods, but which can reduce the amount of work.},
	urldate = {2014-08-21},
	journal = {Journal of Computational and Applied Mathematics},
	author = {Dhamacharoen, Ampon},
	month = jun,
	year = {2014},
	keywords = {Efficient method, Hybrid method, Newton–Broyden’s update, Two-stage method},
	pages = {59--68},
	file = {Dhamacharoen - 2014 - An efficient hybrid method for solving systems of .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/CKIXT5EZ/Dhamacharoen - 2014 - An efficient hybrid method for solving systems of .pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/F6EXB7QR/S0377042713006766.html:text/html}
}

@techreport{helfer_licos_2011,
	type = {Note technique},
	title = {Licos 1.0 : notice d utilisation et d'installation, descriptif informatique},
	number = {11 - 032},
	institution = {DEC/SESC/LSC},
	author = {Helfer, Thomas},
	month = nov,
	year = {2011}
}

@article{moreau_sur_1970,
	title = {sur les lois de frottement, de plasticité et de viscosité},
	volume = {271},
	journal = {Compte Rendu de l'Académie des Sciences série A},
	author = {Moreau, J. J.},
	month = sep,
	year = {1970},
	pages = {608--611}
}

@article{marigo_formulation_1981,
	title = {Formulation d'une loi d'endommagement d'un matériau élastique},
	volume = {292},
	journal = {C. R. Acad. Sc.},
	author = {Marigo, J.-J.},
	year = {1981},
	pages = {1309--1312}
}

@article{germain_continuum_1983,
	title = {continuum thermodynamics},
	volume = {50},
	journal = {Journal of Applied Mechanics},
	author = {Germain, P. and Nguyen, Q. Q. and Suquet, P.},
	year = {1983},
	pages = {1010--1020}
}

@inproceedings{cordebois_anisotropie_1982,
	title = {Anisotropie élastique induite par endommagement},
	booktitle = {Colloque {EUROTECH} 115},
	publisher = {Édition du CNRS},
	author = {Cordebois, J.-P. and Sidoroff, F.},
	editor = {hler, J.-P. Bøe},
	year = {1982}
}

@article{xiao_choice_2000,
	title = {The choice of objective rates in finite elastoplasticity: general results on the uniqueness of the logarithmic rate},
	volume = {456},
	url = {http://rspa.royalsocietypublishing.org/content/456/2000/1865.abstract},
	doi = {10.1098/rspa.2000.0591},
	abstract = {A Eulerian rate formulation of finite elastoplasticity is a composite one composed of a rate equation for elastic behaviour and a flow rule for plastic behaviour as well as an evolution equation for hardening behaviour, in which objective Eulerian tensor rates are used. Among a large variety of objective rates (actually infinitely many), how to choose suitable ones has been one of the crucial points in finite elastoplasticity. It is realized that the foregoing composite formulation of elastoplasticity should fulfil certain consistency criteria in order to avoid inconsistencies or contradictions. These criteria narrow the choice of objective rates. These authors (Bruhns and co–workers and Xiao and co–workers) have recently introduced the self–consistency criterion: in a composite formulation of elastoplasticity, the rate equation intended for characterization of elastic behaviour should be exactly integrable to deliver an elastic relation. It has been demonstrated in the work of the aforementioned authors that if a composite formulation of elastoplasticity with objective rates is required to fulfil the just–stated self–consistency criterion, as it should be, then the newly discovered logarithmic rate is the only possible choice among all objective corotational rates, including the Zaremba–Jaumann rate and the Green–Naghdi rate, etc. In the afore–mentioned result, non–corotational rates, including Oldroyd rates, Cotter–Rivlin rate and Truesdell rate, etc., are not taken into consideration in general. It is the main goal of this paper to further establish the uniqueness of the logarithmic rate among all corotational and non–corotational objective rates. Essential to the attainment of this goal is the use of the yielding–stationarity criterion: the vanishing of the stress rate implies that the yield function is stationary. It is shown that the just–stated criterion is necessary for a composite Eulerian rate formulation of finite elastoplasticity to be consistent and means that the stress rate must be a corotational rate. The main goal of this article is, thus, attained by combining the just–stated result and the established result stated before.},
	number = {2000},
	journal = {Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences},
	author = {Xiao, H. and Bruhns, O. T. and Meyers, A.},
	month = aug,
	year = {2000},
	pages = {1865--1882},
	file = {Proc. R. Soc. Lond. A-2000-Xiao-1865-82 (1).pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/J32SHFAQ/Proc. R. Soc. Lond. A-2000-Xiao-1865-82 (1).pdf:application/pdf}
}

@book{brent_algorithms_1973,
	title = {Algorithms for {Minimization} {Without} {Derivatives}},
	isbn = {9780486419985},
	abstract = {This outstanding text for graduate students and researchers proposes improvements to existing algorithms, extends their related mathematical theories, and offers details on new algorithms for approximating local and global minima. None of the algorithms requires an evaluation of derivatives; all depend entirely on sequential function evaluation, a highly practical scenario in the frequent event of difficult-to-evaluate derivatives. Topics include the use of successive interpolation for finding simple zeros of a function and its derivatives; an algorithm with guaranteed convergence for finding a minimum of a function of one variation; global minimization given an upper bound on the second derivative; and a new algorithm for minimizing a function of several variables without calculating derivatives. Many numerical examples augment the text, along with a complete analysis of rate of convergence for most algorithms and error bounds that allow for the effect of rounding errors.},
	language = {en},
	publisher = {Dover Publications},
	author = {Brent, Richard P.},
	year = {1973},
	keywords = {Computers / Programming / Algorithms, Mathematics / General, Mathematics / Optimization}
}

@article{clarno_amp_2012,
	title = {The {AMP} ({Advanced} {MultiPhysics}) {Nuclear} {Fuel} {Performance} code},
	volume = {252},
	issn = {0029-5493},
	url = {http://www.sciencedirect.com/science/article/pii/S0029549312004141},
	doi = {10.1016/j.nucengdes.2012.07.018},
	abstract = {The AMP (Advanced MultiPhysics) Nuclear Fuel Performance code is a new, three-dimensional, multi-physics tool that uses state-of-the-art solution methods and validated nuclear fuel models to simulate the nominal operation and anticipated operational transients of nuclear fuel. The AMP Nuclear Fuel Performance code leverages existing validated material models from traditional fuel performance codes and the Scale/ORIGEN-S spent-fuel characterization code to provide an initial capability that is shown to be sufficiently accurate for a single benchmark problem and anticipated to be accurate for a broad range of problems. The thermomechanics foundation can be solved in a time-dependent or quasi-static approach with any variation of operator-split or fully-coupled solutions at each time step through interoperable interfaces to leading computational mathematics tools, including PETSc, Trilinos, and SUNDIALS. A baseline validation of the AMP Nuclear Fuel Performance code has been performed through the modeling of an experiment in the Halden Reactor Project (IFA-432) that demonstrates the integrated capability and provides a baseline of the initial accuracy of the software.},
	urldate = {2014-09-02},
	journal = {Nuclear Engineering and Design},
	author = {Clarno, Kevin T. and Philip, Bobby and Cochran, William K. and Sampath, Rahul S. and Allu, Srikanth and Barai, Pallab and Simunovic, Srdjan and Berrill, Mark A. and Ott, Larry J. and Pannala, Sreekanth and Dilts, Gary A. and Mihaila, Bogdan and Yesilyurt, Gokhan and Lee, Jung Ho and Banfield, James E.},
	month = nov,
	year = {2012},
	pages = {108--120},
	file = {Clarno et al. - 2012 - The AMP (Advanced MultiPhysics) Nuclear Fuel Perfo.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/TM3AWJKC/Clarno et al. - 2012 - The AMP (Advanced MultiPhysics) Nuclear Fuel Perfo.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/I3HRTB7E/S0029549312004141.html:text/html}
}

@techreport{helfer_cas_2012,
	type = {Note technique},
	title = {Cas tests unitaires de la version 1.0 de {Licos}},
	number = {12-005},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Helfer, Thomas},
	month = apr,
	year = {2012}
}

@article{soulacroix_aging_2014,
	title = {An aging elasto-viscoplastic model for ceramics},
	volume = {62},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S0749641914001454},
	doi = {10.1016/j.ijplas.2014.07.006},
	abstract = {A model reproducing strain softening behavior in ceramic materials is proposed. This model is base on a critical treatment of previous mechanical experimental results, mainly on uranium dioxide. The main hypothesis is that the strain softening phenomenon is related to an aging process, where some point defects move towards the dislocations and modify their velocity. This is different from most of models used up to now, as they were based on the hypothesis that only the initial lack of dislocations was responsible of the strain softening behavior. A model is first developed in a simple 1D framework. Evolution of the mechanical behavior with strain rate and temperature is well reproduced by this model. Then, the 1D model is extended to a 3D mechanical model, and mechanical compressive tests on UO 2 pellets are simulated. The 3D model well reproduces the observed asymmetrical shape of the compressed pellet if one considers that the material is not initially perfectly homogeneous, which highlights the importance of accounting for spatial heterogeneity of materials in models.},
	urldate = {2015-07-21},
	journal = {International Journal of Plasticity},
	author = {Soulacroix, Julian and Michel, Bruno and Gatt, Jean-Marie and Kubler, Régis and Barrallier, Laurent},
	month = nov,
	year = {2014},
	keywords = {Aging, B. Ceramic material, B. Constitutive behavior, B. Viscoplastic material, C. Finite elements},
	pages = {121--137},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/TQB3A848/Soulacroix et al. - 2014 - An aging elasto-viscoplastic model for ceramics.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/R99F225V/S0749641914001454.html:text/html}
}

@techreport{pellet_calcul_2012,
	type = {Référence du {Code} {Aster}},
	title = {Calcul de la déformation thermique},
	url = {http://www.code-aster.org},
	abstract = {Ce document est consacré à la présentation du calcul de la déformation thermique. On y indique les informations nécessaires au calcul de la déformation thermique et les diverses possibilités de définition de ces
informations par l'utilisateur.},
	language = {français},
	number = {R4.08.01},
	institution = {EDF-R\&D/AMA},
	author = {Pellet, Jacques},
	month = feb,
	year = {2012},
	file = {Pellet - 2012 - Calcul de la déformation thermique.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/8G7DQK58/Pellet - 2012 - Calcul de la déformation thermique.pdf:application/pdf}
}

@article{jirasek_embedded_2001,
	title = {Embedded crack model : part {I} : basic formulation},
	volume = {50},
	journal = {International Journal for Numerical Methods in Engineering},
	author = {Jirásek, M. and Zimmermann, T.},
	year = {2001},
	pages = {1269--1290}
}

@techreport{edf_modelisation_2013,
	type = {Référence du {Code} {Aster}},
	title = {Modélisation élasto(visco)plastique avec écrouissage isotrope en grandes déformations},
	url = {http://www.code-aster.org},
	number = {R5.03.21 révision : 11537},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	month = sep,
	year = {2013},
	file = {Bargellini - 2013 - Modélisation élasto(visco)plastique avec écrouissa.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/FCKIB84R/Bargellini - 2013 - Modélisation élasto(visco)plastique avec écrouissa.pdf:application/pdf}
}

@inproceedings{anh_exact_2000,
	title = {Exact expressions for the plastic corrections and the consistent tangent modulus in rate-independent elastoplasticity},
	booktitle = {{VIth} {European} {Cong}. on {Computational} methods in {Appl}. {Sc}. and {Eng}. {ECCOMAS}},
	author = {Anh, Le and De Saxce, Géry},
	year = {2000},
	file = {Anh et De Saxce - 2000 - Exact expressions for the plastic corrections and .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/AZDDSQKS/Anh et De Saxce - 2000 - Exact expressions for the plastic corrections and .pdf:application/pdf}
}

@misc{gnu_documentation_2007,
	title = {Documentation du logiciel {Autoconf}},
	url = {http://www.gnu.org/software/autoconf/manual/autoconf.html},
	author = {GNU, Le projet},
	year = {2007}
}

@article{thai_homogenization-enriched_2014,
	title = {A homogenization-enriched viscodamage model for cement-based material creep},
	volume = {126},
	issn = {0013-7944},
	url = {http://www.sciencedirect.com/science/article/pii/S0013794414001325},
	doi = {10.1016/j.engfracmech.2014.04.021},
	abstract = {We develop in this study a viscodamage model for cementitious materials based on the concept of pseudo-strains introduced by Schapery [1] coupled with the damage model of Mazars [2]. The pseudo-strains approach allows for reformulation of the initial viscoelastic problem as an equivalent elastic one by using a simple correspondence principle. The viscoelastic model results from a homogenization procedure in which the Mori–Tanaka scheme is applied in the Laplace–Carson space for estimating the effective linear viscoelastic bulk and shear moduli of the material. A composite made of a linear viscoelastic matrix described by a generalized Maxwell model and containing distributed spherical elastic inclusions and pores is adopted as a simplified representation of the material under consideration. One interesting feature of our approach is that exact analytical expressions for both bulk and shear moduli in the time space are derived in simple cases where a limited number of Maxwell chains are involved to describe the matrix behavior. The evolutions of the damage variable are governed by an equivalent pseudo-strain calculated from the pseudo-strains. The viscodamage model is applied to the simulation of cement paste basic creep tests available in the literature. After a proper identification of the parameters, an analysis of the results obtained with moderate creep loading reveals that the total strains evolutions are due mainly to the viscous characteristics of the material and to a lesser extent to the damage growth. The effects of the pore volume fraction of the material and of high load-levels leading to the specimen rupture on the creep response are further investigated and discussed.},
	urldate = {2015-01-28},
	journal = {Engineering Fracture Mechanics},
	author = {Thai, Minh-Quan and Bary, Benoit and He, Qi-Chang},
	month = aug,
	year = {2014},
	keywords = {Cementitious materials, Creep, Damage, Homogenization, Linear viscoelasticity, Mori–Tanaka scheme, Viscodamage},
	pages = {54--72},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/8QCDRTRX/S0013794414001325.html:text/html;Thai et al. - 2014 - A homogenization-enriched viscodamage model for ce.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/W5KKI6KZ/Thai et al. - 2014 - A homogenization-enriched viscodamage model for ce.pdf:application/pdf}
}

@book{le_saux_comportement_2008-1,
	title = {Comportement et rupture de gaines en {Zircaloy}-4 détendu vierges, hydrurées ou irradiées en situation accidentelle de type {RIA}},
	url = {http://www.theses.fr/2008ENMP1608},
	abstract = {,},
	urldate = {2015-01-20},
	publisher = {Paris, ENMP},
	author = {Le Saux, Matthieu},
	month = jan,
	year = {2008},
	file = {Le Saux - 2008 - Comportement et rupture de gaines en Zircaloy–4 De.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/NZWI88UF/Le Saux - 2008 - Comportement et rupture de gaines en Zircaloy–4 De.pdf:application/pdf;Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/6B9MIWE4/2008ENMP1608.html:text/html}
}

@phdthesis{lorentz_lois_1999,
	title = {lois de comportement à gradients de variables internes : constructions, formulation variationnelle et mise en oeuvre numérique},
	school = {LMT-Cachan, Université Paris 6},
	author = {Lorentz, Éric},
	year = {1999}
}

@article{bodoville_plasticity_2001,
	title = {Plasticity with non-linear kinematic hardening: modelling and shakedown analysis by the bipotential approach},
	volume = {20},
	issn = {0997-7538},
	shorttitle = {Plasticity with non-linear kinematic hardening},
	url = {http://www.sciencedirect.com/science/article/pii/S0997753800011098},
	doi = {10.1016/S0997-7538(00)01109-8},
	abstract = {The class of generalised standard materials is not relevant to model the non-associative constitutive equations. The possible generalisation of Fenchel's inequality proposed by de Saxcé allows the recovery of flow rule normality for non-associative behaviours. The normality rule is written in the weak form of an implicit relation. This leads to the introduction of the class of implicit standard materials. This formulation is applied to constitutive equations involving non-linear kinematic hardening, indispensable to describe accurately and realistically the cyclic plasticity of metallic materials. For these plastic flow rules shakedown bound theorems can be extended; an analytical example of the shakedown of a thin-walled tube under constant traction and alternate cyclic torsion is considered and the obtained solution is proved to be exact.},
	number = {1},
	urldate = {2014-12-08},
	journal = {European Journal of Mechanics - A/Solids},
	author = {Bodovillé, Guillaume and Saxcé, Géry de},
	month = jan,
	year = {2001},
	keywords = {implicit standard materials, non-associative plasticity, non-linear kinematic hardening, shakedown},
	pages = {99--112},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/3W4NIBIU/Bodovillé et Saxcé - 2001 - Plasticity with non-linear kinematic hardening mo.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/Z289JGQP/S0997753800011098.html:text/html}
}

@techreport{lorentz_relation_????,
	type = {Référence du {Code} {Aster}},
	title = {Relation de comportement viscoplastique de {Taheri}},
	url = {http://www.code-aster.org},
	number = {R5.03.05-A},
	institution = {EDF/IMA/MMN},
	author = {Lorentz, Éric},
	month = sep
}

@techreport{garcia_modelisation_1997,
	title = {modélisation des crayons combustibles en transitoire de puissance : interprétation des rampes {GONCOR} et {K}115},
	number = {96-2002},
	institution = {SDC/LMC},
	author = {Garcia, P.},
	month = mar,
	year = {1997}
}

@techreport{callu_developpement_1998,
	title = {développement d'un modèle de fragmentation des pastilles combustible et de repositionnement de fragment},
	number = {HT-B2/96/037/A},
	institution = {EDF/DER},
	author = {Callu, C. and Ruck, J.-M. and Baron, D.},
	year = {1998}
}

@incollection{neto_anisotropic_2008,
	address = {Chichester, West Sussex, UK},
	title = {Anisotropic finite plasticity : single cristals},
	isbn = {9780470694527  0470694521  9780470694626 0470694629},
	abstract = {"Computational Methods for Plasticity: Theory and Applications describes the theory of the associated numerical methods for the simulation of a wide range of plastic engineering materials; from the simplest infinitesimal plasticity theory to more complex damage mechanics and finite strain crystal plasticity models. It is split into three parts - basic concepts, small strains and large strains. Beginning with elementary theory and progressing to advanced, complex theory and computer implementation, it is suitable for use at both introductory and advanced levels." "This comprehensive text will appeal to postgraduate and graduate students of civil, mechanical, aerospace and materials engineering as well as applied mathematics and courses with computational mechanics components. It will also be of interest to research engineers, scientists and software developers working in the field of computational solid mechanics."--BOOK JACKET.},
	language = {English},
	booktitle = {Computational methods for plasticity: theory and applications},
	publisher = {Wiley},
	author = {Neto, Perić, Djordje, E. A. de Souza and Owen, D. R. J},
	year = {2008},
	file = {FiniteStrainCrystalPLasticity-deSouza-Nieto.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/MCIC6558/FiniteStrainCrystalPLasticity-deSouza-Nieto.pdf:application/pdf}
}

@incollection{maire_quantitative_2004,
	title = {Quantitative measurement of damage},
	booktitle = {Local approach to fracture},
	publisher = {École des Mines de Paris - les presses},
	author = {Maire, É},
	editor = {Besson, J.},
	year = {2004},
	pages = {79--108}
}

@book{salencon_lelasto-plasticite_2002,
	title = {de l'élasto-plasticité au calcul à la rupture},
	publisher = {Les éditions de l'École Polytechnique - Ellipses},
	author = {Salençon, J.},
	year = {2002}
}

@article{hellouin_de_menibus_thermomechanical_2014,
	title = {Thermomechanical loading applied on the cladding tube during the pellet cladding mechanical interaction phase of a rapid reactivity initiated accident},
	volume = {453},
	issn = {0022-3115},
	url = {http://www.sciencedirect.com/science/article/pii/S0022311514004036},
	doi = {10.1016/j.jnucmat.2014.06.046},
	abstract = {Calculations of the CABRI REP-Na5 pulse were performed with the ALCYONE code in order to determine the evolution of the thermomechanical loading applied on the cladding tube during the Pellet–Cladding Mechanical Interaction (PCMI) phase of a rapid Reactivity Initiated Accident (RIA) initiated at 280 °C that lasted 8.8 ms. The evolution of the following parameters are reported: the cladding temperature, heating rate, strain rate and loading biaxiality. The impact of these parameters on the cladding mechanical behavior and fracture are then briefly reviewed.},
	number = {1–3},
	urldate = {2014-09-22},
	journal = {Journal of Nuclear Materials},
	author = {Hellouin de Menibus, Arthur and Sercombe, Jerome and Auzoux, Quentin and Poussard, Christophe},
	month = oct,
	year = {2014},
	pages = {210--213},
	file = {Hellouin de Menibus et al. - 2014 - Thermomechanical loading applied on the cladding t.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/98PGN6VX/Hellouin de Menibus et al. - 2014 - Thermomechanical loading applied on the cladding t.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/KETU6QW9/S0022311514004036.html:text/html}
}

@article{toulemonde_modeling_2008,
	title = {Modeling the effective elastic behavior of composites: a mixed {Finite} {Element} and homogenisation approach},
	volume = {336},
	issn = {1631-0721},
	shorttitle = {Modeling the effective elastic behavior of composites},
	url = {http://www.sciencedirect.com/science/article/pii/S1631072107002549},
	doi = {10.1016/j.crme.2007.11.024},
	abstract = {To make possible the Finite Element computation of Representative Volume Elements (RVE) of composites with a complex microstructure, we first propose to mesh the volume independently of the considered microstructure. Homogeneous elastic properties are then given to the elements whose behavior is ill-defined (different phases in the same element) while a polarization is homogeneously applied to these so-called ‘interphase elements’ to control the corresponding error. New bounds are derived by optimizing the polarisation. When interphase elements are given extreme elastic properties these bounds yield satisfying results in both cases of a unit cell as well as a concrete RVE. To cite this article: C. Toulemonde et al., C. R. Mecanique 336 (2008).},
	number = {3},
	urldate = {2014-12-08},
	journal = {Comptes Rendus Mécanique},
	author = {Toulemonde, Charles and Masson, Renaud and El Gharib, Joumana},
	month = mar,
	year = {2008},
	keywords = {Béton, Computational solid mechanics, Concrete, Eléments finis, Finite element, Fuseau granulaire, Homogénéisation, Homogenisation, Mécanique des solides numérique, Méthode variationnelle, Microstructure, RVE, Sieve curves, Variational method, VER},
	pages = {275--282},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/K8XTE5AK/Toulemonde et al. - 2008 - Modeling the effective elastic behavior of composi.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/GWEJUDVJ/S1631072107002549.html:text/html}
}

@article{badreddine_non-associative_2010,
	title = {On non-associative anisotropic finite plasticity fully coupled with isotropic ductile damage for metal forming},
	volume = {26},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S0749641910000094},
	doi = {10.1016/j.ijplas.2010.01.008},
	abstract = {In this work, non-associative finite strain anisotropic elastoplasticity fully coupled with ductile damage is considered using a thermodynamically consistent framework. First, the kinematics of large strain based on multiplicative decomposition of the total transformation gradient using the rotating frame formulation, is recalled and different objective derivatives defined. By using different anisotropic equivalent stresses (quadratic and non-quadratic) in yield function and in plastic potential, the evolution equations for all the dissipative phenomena are deduced from the generalized normality rule applied to the plastic potential while the consistency condition is still applied to the yield function. The effect of the objective derivatives and the equivalent stresses (quadratic or non-quadratic) on the plastic flow anisotropy and the hardening evolution with damage is considered. Numerical aspects mainly related to the time integration of the fully coupled constitutive equations are discussed. Applications are made to the AISI 304 sheet metal by considering different loading paths as tensile, shear, plane tensile and bulge tests. For each loading path the effect of the rotating frame, the equivalent stress (quadratic or non-quadratic) and the normality rule (with respect to yield function or to the plastic potential) are discussed on the light of some available experimental results.},
	number = {11},
	urldate = {2014-01-27},
	journal = {International Journal of Plasticity},
	author = {Badreddine, Houssem and Saanouni, Khemaïs and Dogui, Abdelwaheb},
	month = nov,
	year = {2010},
	keywords = {Ductile damage, Finite strain, Isotropic hardening, Kinematic hardening, Plastic anisotropy},
	pages = {1541--1575},
	file = {Badreddine et al. - 2010 - On non-associative anisotropic finite plasticity f.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/ANSZV7RT/Badreddine et al. - 2010 - On non-associative anisotropic finite plasticity f.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/6FRIFP2T/S0749641910000094.html:text/html}
}

@article{cheng_stress-based_2014,
	title = {A stress-based variational model for ductile porous materials},
	volume = {55},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S0749641913001940},
	doi = {10.1016/j.ijplas.2013.10.003},
	abstract = {The main objective of this paper is to formulate a very new statically-based model of ductile porous materials having a von Mises matrix. In contrast to the Gurson’s well known kinematical approach applied to a hollow sphere, the proposed study proceeds by means of a statical limit analysis procedure. Its development and implementation require the choice of an appropriate trial stress field. The starting point is Hill’s variational principle for rigid plastic matrix. The use of a lagrangian multiplier allows to satisfy the plastic criterion in an average sense. The proposed trial stress field, complying with internal equilibrium, is composed of an heterogeneous part (exact solution for the stress field in the hollow sphere under pure hydrostatic loading) to which is added a uniform deviatoric stress field. Owing to this choice, the stress vector conditions on the void boundary are relaxed. By solving the resulting Saddle point problem, we derive closed form formula which depends not only on the first and second invariant of the macroscopic stress tensor but also on the sign of the third invariant of the stress deviator. The obtained results are fully discussed and compared to existing models, available numerical data and to Finite Elements results obtained from cell calculation carried out during the present study. Finally, we provide for the new model the macroscopic flow rule as well as the porosity evolution equations which also show very original features. Some of these features are illustrated.},
	urldate = {2014-12-08},
	journal = {International Journal of Plasticity},
	author = {Cheng, Long and de Saxcé, Géry and Kondo, Djimedo},
	month = apr,
	year = {2014},
	keywords = {Ductile porous material, Homogenization, Statical limit analysis, von Mises matrix},
	pages = {133--151},
	file = {Cheng et al. - 2014 - A stress-based variational model for ductile porou.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/APFEZ9ZV/Cheng et al. - 2014 - A stress-based variational model for ductile porou.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/WXFQDMUQ/S0749641913001940.html:text/html}
}

@misc{edf_site_2016,
	title = {Site du {Code}\_Aster},
	url = {http://www.code-aster.org},
	author = {EDF},
	year = {2016}
}

@article{han_yield_2013,
	title = {A yield function for single crystals containing voids},
	volume = {50},
	issn = {0020-7683},
	url = {http://www.sciencedirect.com/science/article/pii/S002076831300070X},
	doi = {10.1016/j.ijsolstr.2013.02.005},
	abstract = {A yield function for single crystals containing voids has been developed based on a variational approach. This first yield function is phenomenologically extended by modifying the dependence on the mean stress and introducing three adjustable parameters. Unit cell finite element calculations are performed for various stress triaxiality ratios, main loading directions and porosity levels in the case of a perfectly plastic FCC single crystal. The three model parameters are adjusted on the unit cell calculations so that a very good agreement between simulation results and the proposed model is obtained.},
	number = {14–15},
	urldate = {2013-12-28},
	journal = {International Journal of Solids and Structures},
	author = {Han, X. and Besson, J. and Forest, S. and Tanguy, B. and Bugat, S.},
	month = jul,
	year = {2013},
	keywords = {Porous media, Single crystal, Unit cell model, Variational approach, Yield criterion},
	pages = {2115--2131},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/8VZ96ADM/Han et al. - 2013 - A yield function for single crystals containing vo.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/5ISIT2B7/S002076831300070X.html:text/html}
}

@article{lassmann_modelling_1988,
	title = {Modelling of fuel rod behaviour and recent advances of the transuranus code},
	volume = {106},
	issn = {0029-5493},
	url = {http://www.sciencedirect.com/science/article/pii/0029549388902920},
	doi = {10.1016/0029-5493(88)90292-0},
	abstract = {Modern fuel rod performance codes form a clearly defined mechanical/mathematical framework into which the detailed models describing the physical behaviour can easily be incorporated. Emphasis in this paper is directed more towards these concepts rather than to the review of the various existing physical submodels. The basic equations of the thermal and the mechanical analysis are outlined; simplifying assumptions are discussed as well as numerical solution techniques, the inherent uncertainties of these analyses and the problems related with the coupling of both. Examples of results of the TRANSURANUS code are used to illustrate accuracies achievable by state-of-the-art fuel rod modelling.},
	number = {3},
	urldate = {2015-01-07},
	journal = {Nuclear Engineering and Design},
	author = {Lassmann, K. and Blank, H.},
	month = mar,
	year = {1988},
	pages = {291--313},
	file = {Lassmann et Blank - 1988 - Modelling of fuel rod behaviour and recent advance.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/E689W6VX/Lassmann et Blank - 1988 - Modelling of fuel rod behaviour and recent advance.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/UT6JJEU6/0029549388902920.html:text/html}
}

@article{svendsen_formulation_2001,
	title = {Formulation of balance relations and configurational fields for continua with microstructure and moving point defects via invariance},
	volume = {38},
	issn = {0020-7683},
	url = {http://www.sciencedirect.com/science/article/pii/S0020768300000810},
	doi = {10.1016/S0020-7683(00)00081-0},
	abstract = {The purpose of this work is the formulation of models for the dynamics of continua with microstructure and material inhomogeneity. In particular, attention is focused here on the balance relations and configurational fields for such continua obtained via invariance. To this end, the approach of Capriz (Capriz, G., 1989. Springer Tracts in Natural Philosophy, vol. 37) to the formulation of continua with microstructure as based upon the invariance of the internal power with respect to superimposed rigid-body rotations is extended to one based upon the Euclidean frame-indifference of the total energy balance. This is then combined with an extension of the work of Gurtin (Gurtin, M.E., 1995. Arch. Rat. Mech. Anal. 131, 67–100) on the formulation of static configurational fields to the case of dynamic and microstructure. In this way, one obtains in particular the dependence of the configurational momentum density, configurational or Eshelby stress, as well as the internal and external configurational momentum supply rate, or configurational force, densities, on the corresponding microstructural fields. These can then be used to derive the forms of the balance relations relevant to the case that the continuum contains defects at which the microstructure is discontinuous. As an application of the formulation, this is done here for the case of a continuum with microstructure containing a single defect.},
	number = {6–7},
	urldate = {2015-05-04},
	journal = {International Journal of Solids and Structures},
	author = {Svendsen, Bob},
	month = feb,
	year = {2001},
	keywords = {Continua, Formulation, Invariance, Microstructure},
	pages = {1183--1200},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/WUHNHWRJ/Svendsen - 2001 - Formulation of balance relations and configuration.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/GCT8JVTK/S0020768300000810.html:text/html}
}

@article{miehe_comparison_1998,
	title = {Comparison of two algorithms for the computation of fourth-order isotropic tensor functions},
	volume = {66},
	issn = {0045-7949},
	url = {http://www.sciencedirect.com/science/article/pii/S0045794997000734},
	doi = {10.1016/S0045-7949(97)00073-4},
	abstract = {This paper compares two possible representations of a certain class of fourth-order isotropic tensor functions. It focusses on the derivatives of symmetric second-order isotropic tensor functions by a symmetric second-order tensor argument. This tensor argument is assumed to be given in spectral form. The first representation explicitly needs the eigenvectors of the argument tensor and is well-known in the literature. The second representation proposed here is based on the knowledge of second-order eigenvalue bases and avoids the computation of eigenvectors. The evaluation of a typical model problem shows that the second representation needs less computer time than the first one. The representations discussed here are of high importance for numerical solvers of nonlinear initial-boundary-value problems in large-strain elasticity and elastoplasticity.},
	number = {1},
	journal = {Computers \& Structures},
	author = {Miehe, C.},
	month = jan,
	year = {1998},
	keywords = {exponential map, isotropic elasticity, isotropic elastoplasticity, tensor functions},
	pages = {37--43},
	file = {1-s2.0-S0045794997000734-main.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/NIIEKMJ2/1-s2.0-S0045794997000734-main.pdf:application/pdf}
}

@article{irons_version_1969-1,
	title = {A version of the {Aitken} accelerator for computer iteration},
	volume = {1},
	copyright = {Copyright © 1969 John Wiley \& Sons, Ltd},
	issn = {1097-0207},
	url = {http://onlinelibrary.wiley.com/doi/10.1002/nme.1620010306/abstract},
	doi = {10.1002/nme.1620010306},
	language = {en},
	number = {3},
	urldate = {2015-01-27},
	journal = {International Journal for Numerical Methods in Engineering},
	author = {Irons, Bruce M. and Tuck, Robert C.},
	year = {1969},
	pages = {275--277},
	file = {Irons et Tuck - 1969 - A version of the Aitken accelerator for computer i.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/HV23I9X2/Irons et Tuck - 1969 - A version of the Aitken accelerator for computer i.pdf:application/pdf;Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/W4AJMPNG/abstract.html:text/html}
}

@article{petkovic_multipoint_2014,
	title = {Multipoint methods for solving nonlinear equations: {A} survey},
	volume = {226},
	issn = {0096-3003},
	shorttitle = {Multipoint methods for solving nonlinear equations},
	url = {http://www.sciencedirect.com/science/article/pii/S0096300313011296},
	doi = {10.1016/j.amc.2013.10.072},
	abstract = {Multipoint iterative methods belong to the class of the most efficient methods for solving nonlinear equations. Recent interest in the research and development of this type of methods has arisen from their capability to overcome theoretical limits of one-point methods concerning the convergence order and computational efficiency. This survey paper is a mixture of theoretical results and algorithmic aspects and it is intended as a review of the most efficient root-finding algorithms and developing techniques in a general sense. Many existing methods of great efficiency appear as special cases of presented general iterative schemes. Special attention is devoted to multipoint methods with memory that use already computed information to considerably increase convergence rate without additional computational costs. Some classical results of the 1970s which have had a great influence to the topic, often neglected or unknown to many readers, are also included not only as historical notes but also as genuine sources of many recent ideas. To a certain degree, the presented study follows in parallel main themes shown in the recently published book (Petković et al., 2013) [53], written by the authors of this paper.},
	urldate = {2014-08-21},
	journal = {Applied Mathematics and Computation},
	author = {Petković, Miodrag S. and Neta, Beny and Petković, Ljiljana D. and Džunić, Jovana},
	month = jan,
	year = {2014},
	keywords = {Acceleration of convergence, Computational efficiency, Convergence rate, Iterative methods, Multipoint methods, Nonlinear equations},
	pages = {635--660},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/KE8NBSSQ/Petković et al. - 2014 - Multipoint methods for solving nonlinear equations.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/D9DARA54/S0096300313011296.html:text/html}
}

@article{davies_effects_1961,
	title = {the effects of inclusions on the fracture of uranium},
	volume = {3},
	number = {2},
	journal = {Journal of Nuclear Materials},
	author = {Davies, D. M. and Martin, J. W.},
	year = {1961},
	pages = {156--161}
}

@techreport{turban_etude_2007,
	type = {rapport de stage d'option scientifique},
	title = {Étude du comportement thermoélastique d'un fragment de pastille combustible sous irradiation : résolution par la méthode du prolongement analytique},
	institution = {École Polytechnique},
	author = {Turban, M. and Helfer, T. and Masson, R.},
	year = {2007}
}

@inproceedings{chauvin_gfr_2007,
	title = {{GFR} fuel and core pre-conceptual design studies},
	booktitle = {Proceedings of the {GLOBAL} 2007 conference on advanced nuclear fuel},
	author = {Chauvin, N. and Malo, J. Y. and Garnier, J. C. and Bertrand, F. and Bosq, J. C. and Ravenet, A. and Lorenzo, D. and Pelletier, M. and Escleine, J.M. and Munoz, I. and Bonnerot, J. M.},
	year = {2007}
}

@article{chaboche_constitutive_1989,
	title = {Constitutive equations for cyclic plasticity and cyclic viscoplasticity},
	volume = {5},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/0749641989900156},
	doi = {10.1016/0749-6419(89)90015-6},
	abstract = {The cyclic constitutive equations developed and used at ONERA and LMT-Cachan are presented in detail in terms of a hierarchy of various models. Both the time-independent and the viscoplasticity versions of the equations are discussed, as well as their ability to describe correctly most of the experimentally observed effects under monotonic or cyclic loading, constant or variable temperature, including strain hardening and time recovery effects. The reported experimental data concerns stainless steels and have been published previously.

Four other theories are then presented and compared in a systematic way. They include the Ohno-Kachi time-independent plasticity theory, two unified viscoplastic models by Walker and by Krempl and Yao, the new developments of the endochronic theory by Watanabe and Atluri. All these approaches show some similarities with the first one, especially i that concerns the non-linearity of kinematic hardening, which represents the key for describing the cyclic behaviour of metallic materials.},
	number = {3},
	urldate = {2014-01-17},
	journal = {International Journal of Plasticity},
	author = {Chaboche, J. L.},
	year = {1989},
	pages = {247--302},
	file = {Chaboche - 1989 - Constitutive equations for cyclic plasticity and c.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/UMXKMCP5/Chaboche - 1989 - Constitutive equations for cyclic plasticity and c.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/HABTTTM8/0749641989900156.html:text/html}
}

@article{lorentz_gradient_2005,
	title = {Gradient constitutive relations: numerical aspects and application to gradient damage},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Lorentz, É and Benallal, A.},
	year = {2005},
	note = {In press}
}

@article{nguyen_birfucation_1987,
	title = {Birfucation and post-bifurcation analysis},
	volume = {35},
	number = {3},
	journal = {J. Mech. Phys. Solids},
	author = {Nguyen, Q. S.},
	year = {1987},
	pages = {303--324}
}

@techreport{regis_validation_2005,
	title = {Validation du schéma 3D du code {Alcyone}},
	institution = {STILOG I.S.T},
	author = {Régis, J.},
	year = {2005}
}

@misc{helfer_generation_2007,
	title = {Génération de lois de comportement},
	author = {Helfer, T.},
	year = {2007},
	note = {Published: réunion de labo LSC}
}

@book{chaboche_mecanique_2009,
	address = {Paris},
	title = {Mécanique des matériaux solides},
	isbn = {9782100516230  210051623X},
	language = {French},
	publisher = {Dunod},
	author = {Chaboche, Jean-Louis and Lemaître, Jean and Benallal, Ahmed and Desmorat, Rodrigue},
	year = {2009}
}

@article{monerie_interface_2001,
	title = {Interface debonding models : a viscous regularization with a limited rate dependency},
	volume = {38},
	journal = {International Journal of Solids and Structures},
	author = {Monerie, Y. and Feyel, F. and Chaboche, J. L.},
	year = {2001},
	keywords = {Debonding, Delamination, Interface, Numerical modeling, Regularization techniques},
	pages = {pp. 3127--3160},
	file = {Monerie et al. - 2001 - Interface debonding models  a viscous regularizat.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/ASX9SUEJ/Monerie et al. - 2001 - Interface debonding models  a viscous regularizat.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/4URSR3ZF/S0020768300000536.html:text/html}
}

@article{suquet_modelisation_1994,
	title = {une modélisation du rôle des interfaces dans le comportement des composites à matrice métallique},
	volume = {3},
	number = {n 4},
	journal = {Revue européenne des éléments finis},
	author = {Suquet, P. and Michel, J.-C. and Thébaud, F.},
	year = {1994},
	pages = {pp. 573--595}
}

@techreport{garcia_reunion_2003,
	type = {compte rendu de réunion},
	title = {réunion d'avancement de la thèse de t. helfer concernant la modélisation de la fissuration des oxydes nucléaires},
	institution = {DEC/SESC/LLCC},
	author = {Garcia, P. and Helfer, T.},
	year = {2003}
}

@techreport{ramiere_etat_????,
	type = {Note technique},
	title = {État de l'art des algorithmes de couplage multi-physique dans les applications de la plate-forme {PLEIADES}},
	institution = {DEC/SESC/LSC},
	author = {Ramière, I.}
}

@article{giambanco_numerical_2001,
	title = {numerical analysis of masonry structures via interface models},
	volume = {190},
	journal = {Comput. Methods. Appl. Mech. Engrg.},
	author = {Giambanco, Guiseppe and Rizzo, Santi and Sapllino, Roberto},
	year = {2001},
	pages = {6493--6511}
}

@techreport{soniak_modelisation_1996,
	title = {modélisation de l'effet de l'irradiation sur le comportement en fluage et en relaxation des tubes de gaine {X}1 1{\textbackslash}textsuperscriptère phase},
	number = {96-2163},
	institution = {DECM/SRMA},
	author = {Soniak, A.},
	month = sep,
	year = {1996}
}

@book{leary_advanced_1977,
	title = {Advanced {LMFBR} {Fuels}: {Topical} {Meeting} {Proceedings}, {Tucson}, {Arizona}, {October} 10-13, 1977},
	shorttitle = {Advanced {LMFBR} {Fuels}},
	language = {en},
	publisher = {American Nuclear Society},
	author = {Leary, Joseph and Kittle, Howard},
	year = {1977}
}

@techreport{castelier_specifications_2009,
	type = {Note technique},
	title = {Spécifications d'un code de thermomécanique avec résolution par transformées de {Fourier} rapides},
	number = {09 - 045},
	institution = {DEC/SESC/LSC},
	author = {Castelier, Étienne and Helfer, Thomas and Pacull, Julien},
	year = {2009}
}

@misc{rande_equations_2004,
	title = {Équations différentielles},
	number = {AF652},
	journal = {Techniques de l'ingénieur},
	publisher = {Éditions des techniques de l'ingénieur},
	author = {Randé, B.},
	year = {2004}
}

@article{macconi_trust-region_2009,
	title = {Trust-region quadratic methods for nonlinear systems of mixed equalities and inequalities},
	volume = {59},
	issn = {0168-9274},
	url = {http://www.sciencedirect.com/science/article/pii/S016892740800072X},
	doi = {10.1016/j.apnum.2008.03.028},
	abstract = {Two trust-region methods for systems of mixed nonlinear equalities, general inequalities and simple bounds are proposed. The first method is based on a Gauss–Newton model, the second one is based on a regularized Gauss–Newton model and results to be a Levenberg–Marquardt method. The globalization strategy uses affine scaling matrices arising in bound-constrained optimization. Global convergence results are established and quadratic rate is achieved under an error bound assumption. The numerical efficiency of the new methods is experimentally studied.},
	number = {5},
	urldate = {2014-12-19},
	journal = {Applied Numerical Mathematics},
	author = {Macconi, Maria and Morini, Benedetta and Porcelli, Margherita},
	month = may,
	year = {2009},
	keywords = {Bound-constrained optimization, Error bound, Systems of nonlinear equalities and inequalities, Trust-region methods},
	pages = {859--876},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/NPG3BM2P/Macconi et al. - 2009 - Trust-region quadratic methods for nonlinear syste.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/VUEK9AB7/S016892740800072X.html:text/html}
}

@article{zhu_logarithmic_2014,
	title = {Logarithmic stress rate based constitutive model for cyclic loading in finite plasticity},
	volume = {54},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S0749641913001599},
	doi = {10.1016/j.ijplas.2013.08.004},
	abstract = {Based on the logarithmic stress rate, a constitutive model is developed to describe the material behaviour under cyclic loading histories (including ratchetting) in the framework of finite plasticity by using combined nonlinear isotropic and kinematic hardening rules. The nonlinear kinematic hardening rule is extended from that developed by Abdel-Karim and Ohno (2000) for infinitesimal plasticity. The cyclic hardening/softening feature of materials is reflected by using a nonlinear isotropic hardening rule. Then, the proposed model is implemented into a finite element code (e.g., ABAQUS) by employing a simple fully-implicit time-integration procedure. Finally, some numerical examples are carried out to verify the capability of the model to predict the cyclic deformation of materials in finite deformation by comparing the predictions with the corresponding experiment results in referable literature. The predicted stress responses during a simple shear with large shear strain and ratchetting during the cyclic loading tests in finite deformation are in good agreement with the corresponding experimental results.},
	urldate = {2014-01-22},
	journal = {International Journal of Plasticity},
	author = {Zhu, Yilin and Kang, Guozheng and Kan, Qianhua and Bruhns, Otto T.},
	month = mar,
	year = {2014},
	keywords = {Cyclic loading, Finite plasticity, Logarithmic stress rate, Ratchetting},
	pages = {34--55},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/2WZ9WFEZ/Zhu et al. - 2014 - Logarithmic stress rate based constitutive model f.pdf:application/pdf}
}

@techreport{edf_modeendommagement_2013,
	type = {Référence du {Code} {Aster}},
	title = {Modèle d'endommagement de {Mazars}},
	url = {http://www.code-aster.org},
	number = {R7.01.08 révision : 10461},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	year = {2013}
}

@book{berdin_local_2004,
	address = {Paris},
	title = {Local approach to fracture},
	isbn = {291176255X 9782911762550},
	language = {English},
	publisher = {les Presses de l'Ecole des mines},
	author = {Berdin, Clotilde and Besson, Jacques and Bugat, Stéphane and Feyel, Frédéric},
	year = {2004}
}

@article{moes_extended_2002,
	title = {Extended finite element method for cohesive crack growth},
	volume = {69},
	journal = {Engineering Fracture Mechanics},
	author = {Möes, N. and Belytschko, T.},
	year = {2002},
	pages = {813--833}
}

@article{desquines_issue_2011,
	title = {The issue of stress state during mechanical tests to assess cladding performance during a reactivity-initiated accident ({RIA})},
	volume = {412},
	issn = {0022-3115},
	url = {http://www.sciencedirect.com/science/article/pii/S002231151100273X},
	doi = {10.1016/j.jnucmat.2011.03.015},
	abstract = {The mechanical test procedures that address fuel cladding failure during a RIA are reviewed with an emphasis on the development of test procedures that determine the deformation and fracture behavior of cladding under conditions similar to those reached in a RIA. An analysis of cladding strain data from experimental research reactor test programs that have simulated the RIA is presented. These data show that the cladding undergoes deformation characterized by hoop extension subject to a range of multiaxial stress states and strain paths comprised between plane-strain (no axial extension of the cladding tube) and equal-biaxial tension (equal strain in both the hoop and the axial orientations). Current mechanical test procedures of cladding material are then reviewed with a focus on their ability to generate the appropriate deformation response and to induce the prototypical multiaxial stress states and failure modes activated during a RIA. Two main groups of tests currently exist. In the first group, the deformation behavior of the cladding is examined by several variations of hoop tensile tests in which an axial contraction of the specimen gage section occurs such that a near-uniaxial tension stress state results; finite element analyses are then usually employed to deduce the deformation response, often under conditions of an assumed coefficient of friction between the specimen and test fixtures. The second group includes test procedures which attempt to reproduce the deformation and failure conditions close to those seen during a RIA such that any stress-state corrections of the failure conditions are comparatively small. The advantages and disadvantages of all of these deformation/fracture tests are discussed with special reference to testing high burnup fuel cladding.},
	number = {2},
	urldate = {2014-09-10},
	journal = {Journal of Nuclear Materials},
	author = {Desquines, J. and Koss, D. A. and Motta, A. T. and Cazalis, B. and Petit, M.},
	month = may,
	year = {2011},
	pages = {250--267},
	file = {Desquines et al. - 2011 - The issue of stress state during mechanical tests .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/VUD3CQCP/Desquines et al. - 2011 - The issue of stress state during mechanical tests .pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/W5CJ9W2F/S002231151100273X.html:text/html}
}

@techreport{helfer_version_2011,
	type = {Note technique},
	title = {Version 1.0 de {Licos} : note de version},
	number = {11-034},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Helfer, Thomas and Bruno, Éric and Bejaoui, Syriac and Bassi, Christophe and Zabiego, Maxime and Renaud, Céline},
	month = dec,
	year = {2011}
}

@techreport{edf_hsnv125_2011,
	type = {Référence du {Code} {Aster}},
	title = {{HSNV}125 - Élément de volume en traction / cisaillement et température variables},
	url = {http://www.code-aster.org},
	number = {V4.22.125 révision : 7982},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	year = {2011}
}

@inproceedings{maugin_introduction_2004,
	title = {introduction à la mécanique des milieux continus généralisés et ses applications},
	booktitle = {mécanismes et mécanique des matériaux et structures à longueur interne : comportement et effets d'échelles},
	author = {Maugin, G. A.},
	month = jan,
	year = {2004},
	pages = {25--32}
}

@article{challamel_strain-based_2005,
	title = {Strain-based anisotropic damage modelling and unilateral effects},
	volume = {47},
	issn = {0020-7403},
	url = {http://www.sciencedirect.com/science/article/pii/S0020740305000160},
	doi = {10.1016/j.ijmecsci.2005.01.002},
	abstract = {A new continuum damage mechanics model is developed to describe the behaviour of quasi-brittle materials under general path loading. The induced damage is represented by a second rank symmetric tensor. The constitutive equations are based on irreversible thermodynamics theory. The strain-based model covers in an unified way the unsymmetrical behaviour in tension and in compression and the unilateral response due to crack closure effect. Uniaxial stress tests (in tension as in compression) show realistic non-linear responses in the stress–strain space. The different behaviour in both domains is covered by a single set of equations. A significant volume dilatation is noticed in compression. The model can be generalised to time-dependent phenomena.},
	number = {3},
	urldate = {2014-02-25},
	journal = {International Journal of Mechanical Sciences},
	author = {Challamel, Noël and Lanos, Christophe and Casandjian, Charles},
	month = mar,
	year = {2005},
	keywords = {Anisotropic damage, Continuum damage mechanics, Quasi-brittle materials, Thermodynamic modelling, Unilateral effects},
	pages = {459--473},
	file = {Challamel et al. - 2005 - Strain-based anisotropic damage modelling and unil.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/J6DDZ6FB/Challamel et al. - 2005 - Strain-based anisotropic damage modelling and unil.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/AAVXP3MZ/S0020740305000160.html:text/html}
}

@article{foulk_formulation_1998,
	title = {Formulation of a three dimensional cohesive zone model for application to a finite element algorithm},
	volume = {183},
	journal = {Comput. Methods Appl. Mech. Engrg.},
	author = {Foulk, J. W. and Allen, D. H. and Helms, K. L. E.},
	year = {1998},
	pages = {p 51--66}
}

@article{snead_handbook_2007,
	title = {Handbook of {SiC} properties for fuel performance modeling},
	number = {371},
	journal = {Journal of Nuclear Materials},
	author = {SNEAD, L. L. and al},
	year = {2007},
	pages = {329--377}
}

@book{decolon_structures_2000,
	address = {Paris},
	title = {Structures composites},
	publisher = {Hermès},
	author = {Decolon, C.},
	year = {2000}
}

@techreport{gauvin_fluage_1992,
	title = {fluage des gaines zircaloy sous forte contrainte},
	number = {92-033},
	institution = {SETIC/LCM},
	author = {Gauvin, MM and Durocher, A. and Pinte, G. and Fleury, JP},
	year = {1992}
}

@article{michel_nonuniform_2003-1,
	series = {Special issue in {Honor} of {George} {J}. {Dvorak}},
	title = {Nonuniform transformation field analysis},
	volume = {40},
	issn = {0020-7683},
	url = {http://www.sciencedirect.com/science/article/pii/S0020768303003469},
	doi = {10.1016/S0020-7683(03)00346-9},
	abstract = {The exact description of the overall behavior of composites with nonlinear dissipative phases requires an infinity of internal variables. Approximate models involving only a finite number of those can be obtained by considering a decomposition of the microscopic anelastic strain field on a finite set of transformation fields. The Transformation Field Analysis of Dvorak [Proc. R. Soc. Lond. A 437 (1992) 311] corresponds to piecewise uniform transformation fields. The present theory considers nonuniform transformation fields. Comparison with numerical simulations shows the accuracy of the proposed model.},
	number = {25},
	urldate = {2015-04-20},
	journal = {International Journal of Solids and Structures},
	author = {Michel, J. C. and Suquet, P.},
	month = dec,
	year = {2003},
	keywords = {Composite materials, Plasticity, Transformation strain analysis, Viscoplasticity},
	pages = {6937--6955},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/UME6BRQN/S0020768303003469.html:text/html}
}

@article{mazars_continuum_1989,
	title = {continuum {Damage} {Theory} : {Application} to concrete},
	volume = {115},
	number = {2},
	journal = {Journal of Engineering Mechanics},
	author = {Mazars, J. and Pijaudier-Cabot, G.},
	year = {1989},
	pages = {345--365}
}

@article{besson_object-oriented_1998,
	title = {Object-oriented programming applied to the finite element method. {Part} {I} : general concepts},
	volume = {7},
	number = {5},
	journal = {Revue européenne des éléments finis},
	author = {Besson, J. and Leriche, R. and Føerch, R. and Cailletaud, G.},
	year = {1998},
	pages = {535--566}
}

@incollection{garner_4.02_2012,
	address = {Oxford},
	title = {4.02 - {Radiation} {Damage} in {Austenitic} {Steels}},
	isbn = {978-0-08-056033-5},
	url = {http://www.sciencedirect.com/science/article/pii/B9780080560335000653},
	abstract = {Austenitic stainless steels used as fuel cladding or structural components in various reactor types must often withstand an exceptionally strenuous and challenging environment, even in the absence of neutron irradiation. In addition to the environmental challenges associated with surviving prolonged exposure to high temperature and corrosive media, exposure to displacive neutron irradiation pushes steels into a progressive nonequilibrium evolution involving generation of completely new microstructural components unique to the radiation environment and new phase structures driven by diffusional processes that operate only during irradiation. The result of such microstructural and microchemical alteration is often the production of an alloy that cannot be found on an equilibrium diagram.

Concurrent with this evolution on the microscopic scale are macroscopic changes in physical and mechanical properties, and most importantly, changes in dimensional stability that are outside the realm of normal engineering experience. Such changes can strongly affect the structural integrity and limit the in-reactor lifetime of structural steels.

While reviews of this type usually focus primarily on the displacive aspects of neutron irradiation and perhaps confine the review to one or two types of reactor, it is necessary in this review to give equal attention to the transmutation aspects of irradiation for the full range of neutron flux-spectral environments. This review first focuses on identifying the important characteristics of various reactor environments, then addresses the microscopic aspects of neutron-induced alteration, and finally moves to cover the macroscopic consequences of these alterations.},
	urldate = {2014-01-17},
	booktitle = {Comprehensive {Nuclear} {Materials}},
	publisher = {Elsevier},
	author = {Garner, F. A.},
	editor = {Konings, Rudy J. M.},
	year = {2012},
	keywords = {Austenitic steels, Bubbles, Creep rupture, Dimensional stability, Embrittlement, Fatigue, Helium, Hydrogen, Irradiation creep, Mechanical properties, Microchemistry, Microstructure, Neutron flux-spectra, Neutron irradiation, Transmutation, Void swelling},
	pages = {33--95},
	file = {Garner - 2012 - 4.02 - Radiation Damage in Austenitic Steels.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/43DH7F6K/Garner - 2012 - 4.02 - Radiation Damage in Austenitic Steels.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/JW5ZPFW9/B9780080560335000653.html:text/html}
}

@article{mustata_creep_2005,
	title = {Creep constitutive equations for a 0.5Cr 0.5 {Mo} 0.25V ferritic steel in the temperature range 565 °{C} - 675 °{C}},
	volume = {82},
	issn = {0308-0161},
	url = {http://www.sciencedirect.com/science/article/pii/S0308016105000037},
	doi = {10.1016/j.ijpvp.2004.11.002},
	abstract = {A two damage state variable model is used to describe the softening mechanisms, damage initiation and growth for a low alloy ferritic steel 1/2Cr–1/2Mo–1/4V at 565 and 590 °C within the Continuum Damage Mechanics framework. The level of complexity of the constitutive equations and the degree of coupling through damage is high and it is difficult to calibrate values of the constitutive constants without recourse to optimisation techniques. A methodology for the analysis of uni-axial experimental data, coupled with a traditional gradient-based optimisation technique, is presented for the unique determination of the constitutive constants. Two sets of experimental data on parent material are used for inversion purposes: at 565 °C, c.f. Cane [Cane BJ. Collaborative programme on the corelation of test data for high temperature design of welded steam pipes. Presentation and analysis of the material data. Note No. RD/L/2101N81, March, CEGB Laboratory; 1981]; and, at 590 °C, c.f. Miller [Miller DA. Private communication: “Creep rupture testing of Cr M V pipe steel. ERA Project 63-01-040320009”. Barnwood, Gloucs, UK: British Energy; 2000]. The variation of the constitutive parameters with temperature in the range 565–590 °C has been deduced by considering the values of constitutive parameters for the same alloy deduced by Perrin and Hayhurst [Perrin IJ, Hayhurst DR. Creep constitutive equations for a 0.5Cr–0.5Mo–0.25V ferritic steel in the temperature range 600–675 °C. J Strain Anal 1996;31:299–314] in the temperature range 620–675 °C.},
	number = {5},
	urldate = {2014-05-13},
	journal = {International Journal of Pressure Vessels and Piping},
	author = {Mustata, R. and Hayhurst, D. R.},
	month = may,
	year = {2005},
	keywords = {CDM, Creep constitutive equations, Data fitting, Low alloy ferritic steels},
	pages = {363--372},
	file = {Mustata et Hayhurst - 2005 - Creep constitutive equations for a 0.5Cr 0.5 Mo 0..pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/3P7U9RMN/Mustata et Hayhurst - 2005 - Creep constitutive equations for a 0.5Cr 0.5 Mo 0..pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/M96C88DK/S0308016105000037.html:text/html}
}

@article{peerlings_gradient-enhanced_1998,
	title = {Gradient-enhanced {Damage} {Modelling} of {Concrete} {Fracture}},
	volume = {3},
	journal = {Mechanics of Cohesive-Frictional Materials},
	author = {Peerlings, R. H. J. and Borst, R. de and Brekelmans, W. A. M. and Geers, M. G. D.},
	year = {1998},
	pages = {323--342}
}

@techreport{edf_dualisation_2001,
	type = {Référence du {Code} {Aster}},
	title = {Dualisation des conditions aux limites},
	url = {http://www.code-aster.org},
	number = {R3.03.01-B},
	institution = {EDF-R\&D/MITI/MMN},
	author = {EDF},
	year = {2001},
	file = {Pellet - 2001 - Dualisation des conditions aux limites.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/TSBSKTJU/Pellet - 2001 - Dualisation des conditions aux limites.pdf:application/pdf}
}

@techreport{munoz_irradiation_2007,
	title = {Irradiation expérimentale {FUTURIX}/{CONCEPTS} - dossier de sûreté},
	number = {06-022},
	institution = {CEA DEN/DEC/SESC/LC2I},
	author = {Munoz, I.},
	year = {2007}
}

@book{veldhuizen_techniques_1999,
	title = {Techniques for {Scientific} {C}++},
	abstract = {This report summarizes useful techniques for implementing scientific programs in C++, with an emphasis on using templates to improve performance.  Contents 1 Introduction 3  1.1 C++ Compilers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1.1 Placating sub-standard compilers . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1.2 The compiler landscape . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.1.3 C++-specific optimization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2 Compile times . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2.1 Headers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2.2 Prelinking . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2.3 The program database approach -- Visual Age C++ . . . . . . . . . . . . . . 5 1.2.4 Quadratic/Cubic template algorithms . . . . . . . . . . . . . . . . . . . ...},
	author = {Veldhuizen, Todd},
	year = {1999},
	file = {Citeseer - Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/9IHCX29J/summary.html:text/html;Veldhuizen - 1999 - Techniques for Scientific C++.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/DIZ5F936/Veldhuizen - 1999 - Techniques for Scientific C++.pdf:application/pdf}
}

@techreport{marelle_plan_2009,
	title = {Plan de {Gestion} de {Configuration} {Logiciel} {Pleiades}},
	number = {03-035(DR) indice 2},
	institution = {DEC/SESC/LSC},
	author = {Marelle, V.},
	year = {2009}
}

@techreport{pascal_notice_2005,
	title = {Notice d'utilisation du composant mécanique de {PLEIADES} : {INCREPL}},
	number = {RT/05-011/A PLE 05-007},
	institution = {SEMT/LM2S},
	author = {Pascal, Serge},
	month = mar,
	year = {2005},
	file = {DM2S-SEMT-LM2S-RT 07-022(DR) - PLE 07-010 Notice Developpeur INCREPL V2-0.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/XSUN29DP/DM2S-SEMT-LM2S-RT 07-022(DR) - PLE 07-010 Notice Developpeur INCREPL V2-0.pdf:application/pdf;DM2S-SEMT-LM2S-RT-09-017-B 07-2010 Notice utilisation V2-1 INCREPL.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/XMQXGKMT/DM2S-SEMT-LM2S-RT-09-017-B 07-2010 Notice utilisation V2-1 INCREPL.pdf:application/pdf}
}

@phdthesis{monerie_fissuration_2000,
	title = {fissuration des matériaux composites : rôle de l'interface fibre/matrice},
	school = {Université Aix-Marseille II},
	author = {Monerie, Y.},
	year = {2000}
}

@misc{von_rossum_python_2007,
	title = {Python {Library} {Reference}},
	url = {http://docs.python.org},
	author = {Von Rossum, G.},
	year = {2007}
}

@article{sidoroff_issues_2001,
	title = {Some issues about anisotropic elastic–plastic models at finite strain},
	volume = {38},
	issn = {0020-7683},
	url = {http://www.sciencedirect.com/science/article/pii/S0020768301001391},
	doi = {10.1016/S0020-7683(01)00139-1},
	abstract = {The description of anisotropic elastic–plastic behaviour at large strain is difficult. In the rigid plastic case, anisotropic plasticity is now reasonably well understood and is based on formulating anisotropic constitutive equations in a moving frame which, correctly chosen, will ensure objectivity and which can be postulated: (i) a priori to follow in some sense the material rotations (kinematical rotating frame); (ii) a posteriori by an appropriate constitutive evolution equation (plastic spin equation). With respect to the classical continuum models this is in fact an alternative for the formulation of frame indifferent constitutive equations. This rotating frame formulation of continuum mechanics is first formally presented and applied to anisotropic elasticity to show that in this case the proper rotating frame must be used to get a true elasticity. The remaining part of the paper is then devoted to the elastic–plastic case starting from a direct extension of the formalism with derivation of the elastic constitutive equation and plastic flow rule which is best written in the so-called isoclinic configuration. Finally the kinematic plastic rotating frames will be introduced and exemplified as the appropriate choice for a correct description of an anisotropic elastic–plastic behaviour.},
	number = {52},
	urldate = {2014-01-16},
	journal = {International Journal of Solids and Structures},
	author = {Sidoroff, F. and Dogui, A.},
	month = dec,
	year = {2001},
	keywords = {Anisotropic plasticity, Elasto-plasticity, Large deformations, Large strain},
	pages = {9569--9578},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/IX4K2A2U/Sidoroff and Dogui - 2001 - Some issues about anisotropic elasticplastic mode.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/BW4EHP6Q/Sidoroff and Dogui - 2001 - Some issues about anisotropic elasticplastic mode.html:text/html}
}

@techreport{marelle_alcyone_2014,
	type = {Note technique},
	title = {Alcyone {V}1.4 : notice de présentation},
	number = {13-034},
	institution = {CEA/DEN/CAD/ DEC/SESC/LSC},
	author = {Marelle, Vincent and Bouineau, Vincent and Bouloré, Antoine and Fillaux, Clara and Goldbronn, Patrick and Helfer, Thomas and Julien, Jérôme and Masson, Renaud and Michel, Bruno and Noirot, Laurence and Ramière, Isabelle},
	month = feb,
	year = {2014},
	file = {Marelle et al. - 2014 - Alcyone V1.4  notice de présentation.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/PNC5T42W/Marelle et al. - 2014 - Alcyone V1.4  notice de présentation.pdf:application/pdf}
}

@article{lassmann_transuranus:_1992,
	title = {{TRANSURANUS}: a fuel rod analysis code ready for use},
	volume = {188},
	issn = {0022-3115},
	shorttitle = {{TRANSURANUS}},
	url = {http://www.sciencedirect.com/science/article/pii/0022311592904876},
	doi = {10.1016/0022-3115(92)90487-6},
	abstract = {TRANSURANUS is a computer program for the thermal and mechanical analysis of fuel rods in nuclear reactors and was developed at the European Institute for Transuranium Elements (TUI). The TRANSURANUS code consists of a clearly defined mechanical-mathematical framework into which physical models can easily be incorporated. Besides its flexibility for different fuel rod designs the TRANSURANUS code can deal with very different situations, as given for instance in an experiment, under normal, off-normal and accident conditions. The time scale of the problems to be treated may range from milliseconds to years. The code has a comprehensive material data bank for oxide, mixed oxide, carbide and nitride fuels, Zircaloy and steel claddings and different coolants. During its development great effort was spent on obtaining an extremely flexible tool which is easy to handle, exhibiting very fast running times. The total development effort is approximately 40 man-years. In recent years the interest to use this code grew and the code is in use in several organisations, both research and private industry. The code is now available to all interested parties.

The paper outlines the main features and capabilities of the TRANSURANUS code, its validation and treats also some practical aspects.},
	urldate = {2014-01-08},
	journal = {Journal of Nuclear Materials},
	author = {Lassmann, K.},
	month = jun,
	year = {1992},
	pages = {295--302},
	file = {Lassmann - 1992 - TRANSURANUS a fuel rod analysis code ready for us.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/EXUJV6HR/Lassmann - 1992 - TRANSURANUS a fuel rod analysis code ready for us.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/VFAJIXT4/Lassmann - 1992 - TRANSURANUS a fuel rod analysis code ready for us.html:text/html}
}

@article{zeng_hertzian_1992,
	title = {the hertzian stress field and formation of cone cracks-ii. determination of fracture toughness},
	volume = {40},
	number = {10},
	journal = {Acta metall. mater.},
	author = {Zeng, K. and Breder, K. and Rowcliffe, D. J.},
	year = {1992},
	pages = {2601--2605}
}

@techreport{schmidt_irradiation_2003,
	title = {Irradiation expérimentale {FUTURIX}/{FTA}, dossier de préntation},
	number = {03-010},
	institution = {CEA DEN/DEC/SESC/LIAC},
	author = {Schmidt, N. and Pillon, S.},
	year = {2003}
}

@article{cordebois_endommagement_1982,
	title = {Endommagement anisotrope en élasticité et plasticité},
	volume = {numéro spécial},
	journal = {Journal de mécanique théorique et appliquée},
	author = {Cordebois, J.-P. and Sidoroff, F.},
	year = {1982},
	pages = {45--60}
}

@techreport{cadiou_etude_2008,
	title = {Étude thermique et thermo-hydraulique du combustible de référence},
	number = {DR1 14/01/08},
	institution = {DER/SESI/LCSI},
	author = {Cadiou, T.},
	month = jan,
	year = {2008}
}

@techreport{helfer_notice_2007,
	title = {Notice de présentation et d'utilisation de l'application celaeno version 0.1},
	number = {07-035},
	institution = {DEC/SESC/LSC},
	author = {Helfer, Thomas},
	year = {2007}
}

@misc{helfer_presentation_2009,
	address = {Paris, France},
	title = {Présentation du générateur de code {MFront}},
	author = {Helfer, Thomas and Castelier, Étienne},
	month = nov,
	year = {2009},
	file = {Helfer et Castelier - 2009 - Présentation du générateur de code MFront.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/GA38A86Q/Helfer et Castelier - 2009 - Présentation du générateur de code MFront.pdf:application/pdf}
}

@techreport{helfer_bilan_2011,
	type = {Note technique},
	title = {Bilan de l'optimisation de l'intégration des lois de comportement mécanique dans {Alcyone} et {Germinal} {V}2},
	number = {11 - 005},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Helfer, Thomas and Michel, Bruno and Bouineau, Vincent and Costomiris, Audrey},
	month = feb,
	year = {2011},
	file = {Helfer et al. - 2011 - Bilan de l'optimisation de l'intégration des lois .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/6N6TIHZK/Helfer et al. - 2011 - Bilan de l'optimisation de l'intégration des lois .pdf:application/pdf}
}

@article{amor_regularized_2009,
	title = {Regularized formulation of the variational brittle fracture with unilateral contact: {Numerical} experiments},
	volume = {57},
	issn = {0022-5096},
	shorttitle = {Regularized formulation of the variational brittle fracture with unilateral contact},
	url = {http://www.sciencedirect.com/science/article/pii/S0022509609000659},
	doi = {10.1016/j.jmps.2009.04.011},
	abstract = {This paper presents a modified regularized formulation of the Ambrosio–Tortorelli type to introduce the crack non-interpenetration condition in the variational approach to fracture mechanics proposed by Francfort and Marigo [1998. Revisiting brittle fracture as an energy minimization problem. J. Mech. Phys. Solids 46 (8), 1319–1342]. We focus on the linear elastic case where the contact condition appears as a local unilateral constraint on the displacement jump at the crack surfaces. The regularized model is obtained by splitting the strain energy in a spherical and a deviatoric parts and accounting for the sign of the local volume change. The numerical implementation is based on a standard finite element discretization and on the adaptation of an alternate minimization algorithm used in previous works. The new regularization avoids crack interpenetration and predicts asymmetric results in traction and in compression. Even though we do not exhibit any gamma-convergence proof toward the desired limit behavior, we illustrate through several numerical case studies the pertinence of the new model in comparison to other approaches.},
	number = {8},
	urldate = {2014-10-23},
	journal = {Journal of the Mechanics and Physics of Solids},
	author = {Amor, Hanen and Marigo, Jean-Jacques and Maurini, Corrado},
	month = aug,
	year = {2009},
	keywords = {Contact mechanics, Energy methods, Finite elements, Fracture, Free-discontinuity problems},
	pages = {1209--1229},
	file = {Amor et al. - 2009 - Regularized formulation of the variational brittle.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/5T4Q5WIF/Amor et al. - 2009 - Regularized formulation of the variational brittle.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/CRP93XFQ/S0022509609000659.html:text/html}
}

@article{matheron_intrinsec_1973,
	title = {The intrinsec radom functions and their applications},
	volume = {5},
	journal = {Advances in Applied Probability},
	author = {Matheron, G.},
	year = {1973},
	pages = {439--468}
}

@article{macdonald_empirical_1980,
	title = {An empirical model of the effects of pellet cracking on the thermal conductivity of {UO}2 light water reactor fuel},
	volume = {61},
	journal = {Nuclear Engineering and Design},
	author = {Macdonald, P. E. and Smith, R. H.},
	year = {1980},
	pages = {163--177}
}

@inproceedings{garnier_copernic_2004,
	address = {Aix-en-Provence, France},
	title = {the {COPERNIC} mechanical model and its application to doped fuel},
	booktitle = {Pellet-{Clad} {Interaction} in water reactor fuels},
	author = {Garnier, C. and Mailhe, P. and Vesco, P. and Bernard, L. C. and Delafoy, C. and Garcia, P.},
	month = mar,
	year = {2004}
}

@techreport{sladkoff_recommandation_1999,
	title = {recommandation pour la loi de fluage stationnaire de l'$_{\textrm{2}}$ non dopé : mise à jour de fin \$1998\$ intégrant les études de fluage sur les lots \${L}209609\$ et \${L}209619\$},
	number = {99-007},
	institution = {DEC/SPUA/LACA},
	author = {Sladkoff, M. and Huet, F. and Mocellin, A.},
	year = {1999}
}

@article{lucas_evolution_1993,
	title = {The evolution of mechanical property change in irradiated austenitic stainless steels},
	volume = {206},
	issn = {0022-3115},
	url = {http://www.sciencedirect.com/science/article/pii/002231159390129M},
	doi = {10.1016/0022-3115(93)90129-M},
	abstract = {The evolution of mechanical properties in austenitic stainless steels during irradiation is reviewed. Changes in strength, ductility and fracture toughness are strongly related to the evolution of the damage microstructure and microstructurally-based models for strengthening reasonably correlate the data. Irradiation-induced defects promote work softening and flow localization which in turn leads to significant reductions in ductility and fracture toughness beyond about 10 dpa. The effects of irradiation on fatigue appear to be modest except at high temperature where helium embrittlement becomes important. The swelling-independent component of irradiation creep strain increases linearly with dose and is relatively insensitive to material variables and irradiation temperature, except at low temperatures where accelerated creep may occur as a result of low vacancy mobility. Creep rupture life is a strong function of helium content, but is less sensitive to metallurgical conditions. Irradiation-induced stress corrosion cracking appears to be related to the evolution of radiation-induced segregation/depletion at grain boundaries, and hence may not be significant at low irradiation temperatures.},
	number = {2–3},
	urldate = {2014-01-17},
	journal = {Journal of Nuclear Materials},
	author = {Lucas, G. E.},
	month = nov,
	year = {1993},
	pages = {287--305},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/IM7AHF4I/Lucas - 1993 - The evolution of mechanical property change in irr.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/45A9CEBC/002231159390129M.html:text/html}
}

@techreport{touron_dossier_1994,
	title = {Dossier matériau {RAMSES} {II} - {Annexe} technique {A}3. {Ensemble} de caractéristiques : \${EM}10\$ des tubes hexagonaux de la 3ıeme charge de {SUPERPHENIX}},
	number = {94-2111},
	institution = {DMN/SRMA},
	author = {Touron, H.},
	year = {1994}
}

@article{lorentz_convergence_2011,
	title = {Convergence of a gradient damage model toward a cohesive zone model},
	volume = {339},
	issn = {1631-0721},
	url = {http://www.sciencedirect.com/science/article/pii/S1631072110001671},
	doi = {10.1016/j.crme.2010.10.010},
	abstract = {The study starts from a specific gradient damage model which admits a closed-form solution in the case of uniaxial tension. It enables to separate the parameters of the model between a length scale, characteristic of nonlocal effects, and macroscopic parameters which retain their meaning in a cohesive crack setting. A convergence analysis is performed: the response of a cohesive zone model is retrieved when the length scale goes to zero while keeping the macroscopic parameters constant.},
	number = {1},
	urldate = {2014-09-30},
	journal = {Comptes Rendus Mécanique},
	author = {Lorentz, Eric and Cuvilliez, S. and Kazymyrenko, K.},
	month = jan,
	year = {2011},
	keywords = {Cohesive zone models, Damage, Gradient constitutive laws},
	pages = {20--26},
	file = {Lorentz et al. - 2011 - Convergence of a gradient damage model toward a co.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/C2ZMZQKW/Lorentz et al. - 2011 - Convergence of a gradient damage model toward a co.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/K7UFF5GJ/S1631072110001671.html:text/html}
}

@misc{bernaud_reunion_2012,
	title = {Réunion pleiades},
	author = {Bernaud, S.},
	year = {2012},
	note = {Published: Compte-rendu de Réunion}
}

@article{wells_new_2001,
	title = {A new method for modelling cohesive cracks using finite elements},
	volume = {50},
	journal = {International Journal for Numerical Methods in Engineering},
	author = {Wells, G. N. and Sluys, L. J.},
	year = {2001},
	pages = {2667--2682}
}

@article{hughes_finite_1980,
	title = {Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis},
	volume = {15},
	issn = {1097-0207},
	url = {http://dx.doi.org/10.1002/nme.1620151210},
	doi = {10.1002/nme.1620151210},
	number = {12},
	journal = {International Journal for Numerical Methods in Engineering},
	author = {Hughes, Thomas J. R. and Winget, James},
	year = {1980},
	pages = {1862--1867},
	file = {hughes_winget_ijnme_1980.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/SGGU6XW9/hughes_winget_ijnme_1980.pdf:application/pdf}
}

@misc{_iutam_????,
	title = {{IUTAM} {Symposium} on {Computational} {Mechanics} of {Solid} {Materials} at {Large} {Strains} - {Google} {Livres}},
	url = {http://books.google.fr/books?hl=fr&lr=&id=rZgSRTmOMuoC&oi=fnd&pg=PA151&dq=hypoelastic+elastoplasticity+computational+aspects&ots=2eVJu_lrMS&sig=jZgWKpBNyluAOhF5I0VduGQ8lIU#v=onepage&q&f=false},
	urldate = {2014-01-06},
	file = {IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains - Google Livres:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/3PNWFK5C/books.html:text/html}
}

@misc{salome_open_2014,
	title = {The {Open} {Source}  {Integration} {Platform} for {Numerical} {Simulation}},
	url = {http://www.salome-platform.org/},
	author = {Salome},
	year = {2014}
}

@techreport{proix_integration_2013,
	title = {Intégration des lois de comportement à l'aide de {MFront} : bilan des tests réalisés pour l'utilisation avec {Code} {Aster}},
	number = {H-T64-2013-00922-FR},
	institution = {EDF-R\&D/AMA},
	author = {Proix, Jean-Michel},
	year = {2013},
	file = {Proix - 2013 - Intégration des lois de comportement à l'aide de M.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/R2UG9QW6/Proix - 2013 - Intégration des lois de comportement à l'aide de M.pdf:application/pdf}
}

@book{abrahams_c++_2004,
	address = {Boston},
	title = {C++ template metaprogramming: concepts, tools, and techniques from boost and beyond},
	isbn = {0321227255 9780321227256},
	shorttitle = {C++ template metaprogramming},
	language = {English},
	publisher = {Addison-Welsley},
	author = {Abrahams, David and Gurtovoy, Aleksey},
	year = {2004}
}

@article{fremond_endommagement_1993,
	title = {Endommagement et principe des puissances virtuelles},
	volume = {317, série II},
	journal = {C.R. Acad. Sci.},
	author = {Frémond, M. and Nedjar, B.},
	year = {1993},
	pages = {857--864}
}

@article{sully_measurements_1952,
	title = {Some measurements of the total emissivity of metals and pure refractory oxides and the variation of emissivity with temperature},
	volume = {3},
	issn = {0508-3443},
	url = {http://iopscience.iop.org/0508-3443/3/3/307},
	doi = {10.1088/0508-3443/3/3/307},
	abstract = {A method has been described for the rapid determination of the total emissivity of metals and oxides in the temperature range 300-800° C. Values have been obtained for lampblack and polished platinum and also for Nimonic 75, pure nickel, and stainless steel, with various surface conditions. The total emissivities of the pure oxides ceria, zirconia, thoria, magnesia, alumina and fused silica have also been determined. The effect of particle size of the oxides and the variation of emissivity with angle of emission have been studied.},
	language = {en},
	number = {3},
	urldate = {2014-01-24},
	journal = {British Journal of Applied Physics},
	author = {Sully, A. H. and Brandes, E. A. and Waterhouse, R. B.},
	month = mar,
	year = {1952},
	pages = {97},
	file = {Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/IBQMX5CC/307.html:text/html;Sully et al. - 1952 - Some measurements of the total emissivity of metal.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/UXQMPN45/Sully et al. - 1952 - Some measurements of the total emissivity of metal.pdf:application/pdf}
}

@techreport{marelle_compte-rendu_2015,
	address = {Cadarache},
	type = {Compte-rendu de réunion},
	title = {Compte-rendu de {Réunion} {Pléiades}},
	language = {Français},
	number = {15-020},
	institution = {CEA DEN/DEC/SEC/LSC},
	author = {Marelle, Vincent},
	month = apr,
	year = {2015},
	file = {Marelle - 2015 - Compte-rendu de Réunion Pléiades.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/CX855M7P/Marelle - 2015 - Compte-rendu de Réunion Pléiades.pdf:application/pdf}
}

@article{michel_new_2008,
	title = {A new phenomenological criterion for pellet–cladding interaction rupture},
	volume = {238},
	issn = {0029-5493},
	url = {http://www.sciencedirect.com/science/article/pii/S002954930800068X},
	doi = {10.1016/j.nucengdes.2008.01.012},
	abstract = {This study is concerned with structural integrity assessment of Pressure Water Reactor's (PWR) fuel rods under pellet–cladding interaction (PCI) loading condition. An important experimental and research cooperative program between EDF, AREVA-NP and the Atomic Energy Commission CEA is achieved in order to get a better understanding of the mechanisms possibly leading to PCI failure, as well as to qualify a PCI resistant rod design. The objectives of this work are: first, to improve the understanding of the pellet mechanical properties impact on cladding local loading with 3D simulations results, and second, to propose a new phenomenological rupture criterion for a better assessment of the failure risk.

In this study fuel behaviour modelling under nominal and transient loading conditions is achieved with a multi-dimensional simulation tool called ALCYONE, included in the new fuel software PLEIADES currently co-developed by the CEA and EDF. Cladding loading due to mechanical interaction during power transient stage is first analysed through pellet–cladding interfacial stresses computed in the 3D simulation. Then, a 2D model is proposed in order to establish a correlation between interfacial loading and stress concentration in the cladding. In order to assess the failure risk under PCI a phenomenological criterion based on the membrane circumferential stress in the cladding and shear stresses at pellet–cladding interface is proposed. To compute the shear loading at pellet–cladding interface a new parameter (called Wrθ) is introduced. Based on 3D calculations of PCI, it is shown in this paper that pellet fracture properties can have a significant effect on PCI loading.},
	number = {7},
	urldate = {2014-01-08},
	journal = {Nuclear Engineering and Design},
	author = {Michel, B. and Sercombe, J. and Thouvenin, G.},
	month = jul,
	year = {2008},
	pages = {1612--1628},
	file = {Michel et al. - 2008 - A new phenomenological criterion for pellet–claddi.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/GTK4RE8A/Michel et al. - 2008 - A new phenomenological criterion for pellet–claddi.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/J4JWEJEJ/Michel et al. - 2008 - A new phenomenological criterion for pelletcladdi.html:text/html}
}

@article{hughes_unconditionally_1978,
	title = {Unconditionally stable algorithms for quasi-static elasto/visco-plastic finite element analysis},
	volume = {8},
	issn = {0045-7949},
	url = {http://www.sciencedirect.com/science/article/pii/0045794978900196},
	doi = {10.1016/0045-7949(78)90019-6},
	abstract = {A new one-parameter family of implicit algorithms for quasi-static elasto/visco-plastic finite element analysis is proposed. For appropriate values of the parameter, the algorithms are shown to be unconditionally stable. Numerical tests in confirmation of the theory are presented.},
	number = {2},
	urldate = {2014-12-08},
	journal = {Computers \& Structures},
	author = {Hughes, Thomas J. R. and Taylor, Robert L.},
	month = apr,
	year = {1978},
	pages = {169--173},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/DRNEEXQ2/Hughes et Taylor - 1978 - Unconditionally stable algorithms for quasi-static.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/U2FXAMIV/0045794978900196.html:text/html}
}

@article{fang_two_2009,
	title = {Two classes of multisecant methods for nonlinear acceleration},
	volume = {16},
	copyright = {Copyright © 2008 John Wiley \& Sons, Ltd.},
	issn = {1099-1506},
	url = {http://onlinelibrary.wiley.com/doi/10.1002/nla.617/abstract},
	doi = {10.1002/nla.617},
	abstract = {Many applications in science and engineering lead to models that require solving large-scale fixed point problems, or equivalently, systems of nonlinear equations. Several successful techniques for handling such problems are based on quasi-Newton methods that implicitly update the approximate Jacobian or inverse Jacobian to satisfy a certain secant condition. We present two classes of multisecant methods which allow to take into account a variable number of secant equations at each iteration. The first is the Broyden-like class, of which Broyden's family is a subclass, and Anderson mixing is a particular member. The second class is that of the nonlinear Eirola–Nevanlinna-type methods. This work was motivated by a problem in electronic structure calculations, whereby a fixed point iteration, known as the self-consistent field (SCF) iteration, is accelerated by various strategies termed ‘mixing’. Copyright © 2008 John Wiley \& Sons, Ltd.},
	language = {en},
	number = {3},
	urldate = {2015-01-22},
	journal = {Numerical Linear Algebra with Applications},
	author = {Fang, Haw-ren and Saad, Yousef},
	year = {2009},
	keywords = {Anderson mixing, Broyden's methods, fixed point problems, quasi-Newton methods, self-consistent field (SCF) iteration},
	pages = {197--221},
	file = {Fang et Saad - 2009 - Two classes of multisecant methods for nonlinear a.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/EJSPT9FU/Fang et Saad - 2009 - Two classes of multisecant methods for nonlinear a.pdf:application/pdf;Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7GUV5JSK/abstract.html:text/html}
}

@inproceedings{guenot-delahaie_state_2013,
	address = {Paris, France},
	title = {State of the art of the conceptual designs for {ASTRID} control and shutdown rods},
	abstract = {To support the design studies of ASTRID, the future technological Sodium Fast Reactor demonstrator in France,
the modelling of mixed oxide fuel pins has been improved by developing a new version of GERMINAL fuel
performance code within PLEIADES simulation framework. GERMINAL V2 is using a standard « 1D1⁄2 »
representation of the fuel pin. Thermal analysis and mechanics are now based on finite elements computations.
The fuel pellet is considered as a continuum, with a mechanical behaviour model managing element elimination
during the central hole formation. The expansion due to cracking during heat-up, and later the free volumes
closure between the fragments, are described by two imposed strain terms. By solving the fuel / cladding system
equilibrium, we intend to evaluate the mechanical interaction, which can become significant, and the stresses
induced by swelling gradients in the cladding thickness. Off-normal conditions are simulated by a strong
coupling of thermal-hydraulics in the coolant with the thermal analysis of the fuel pin. A new neutronics scheme
has also been developed, integrating progressively the evolutions of volatile fission products. Their release at
high burn-up causes the “Joint Oxyde-Gaine” formation between pellet and cladding. With a refined prediction
of the JOG composition, we intend to improve the evaluation of heat exchange inside gap at high burn-up, and
also the description of cladding corrosion. Helium production has already been completed, to simulate fuel pins
loaded with minor actinides. All these evolutions implemented in GERMINAL V2 are being validated by
simulating fuel elements irradiated in PHENIX or in CABRI reactor. We are considering objects from different
geometries, with various cladding materials, burn-ups and irradiation histories. The comparisons of the
calculation results with the experimental data show the current abilities and limits of the code, and consequently
the working perspectives we have.},
	booktitle = {Proceedings of the {International} {Conference} on {Fast} {Reactors} and {Related} {Fuel} {Cycles}: {Safe} {Technologies} and {Sustainable} {Scenarios}},
	author = {Guénot-Delahaie, Isabelle and Lorenzo, Denis and Valentin, Bernard and Escleine, Jean-Michel and Helfer, Thomas},
	month = mar,
	year = {2013},
	file = {285-FullPaperRevised_20130708.docx:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/8B7ES6VN/285-FullPaperRevised_20130708.docx:application/vnd.openxmlformats-officedocument.wordprocessingml.document}
}

@techreport{jerome_tmfft_2010,
	title = {{TMFFT} {Software} {Conception}},
	institution = {STILOG},
	author = {Jérôme, P. and Castelier, Étienne},
	year = {2010}
}

@article{martin_elastic_1989,
	title = {The elastic constants of polycrystalline {UO}2 and ({U},{Pu}) mixed oxides: a review and recommendations},
	volume = {21},
	number = {1},
	journal = {High Temperatures. High Pressures},
	author = {Martin, DG},
	year = {1989},
	pages = {13--24},
	file = {Martin - 1989 - The elastic constants of polycrystalline UO2 and (.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/QV63NVMC/Martin - 1989 - The elastic constants of polycrystalline UO2 and (.pdf:application/pdf}
}

@inproceedings{thouvenin_edf_2010,
	address = {Orlando, Florida, USA},
	title = {{EDF} {CYRANO}3 code, recent innovations},
	booktitle = {{LWR} {Fuel} {Performance} {Meeting}/{TopFuel}/{WRFPM}},
	author = {Thouvenin, Gilles and Baron, Daniel and Largenton, Nathalie and Largenton, Rodrigue and Thevenin, Philippe},
	month = sep,
	year = {2010}
}

@article{simo_computational_1985,
	title = {On the computational significance of the intermediate configuration and hyperelastic stress relations in finite deformation elastoplasticity},
	volume = {4},
	issn = {0167-6636},
	url = {http://www.sciencedirect.com/science/article/pii/0167663685900390},
	doi = {10.1016/0167-6636(85)90039-0},
	abstract = {Incremental formulations directly based on an additive decomposition of the rate of deformation tensor, with instantaneous elastic response directly characterized by a rate constitutive equation, have often been regarded as the most convenient ones from a computational standpoint. By contrast, it is shown that a direct characterization of the elastic response in terms of a potential in conjunction with the notion of intermediate configuration provides a simpler and more convenient computational framework. In particular, objective rates play no role, neither in the basic formulation nor in the integration procedure. Within this framework, issues concerning the treatment of volume constraints, the formulation of return mapping algorithms and consistent linearization procedures are addressed.},
	number = {3–4},
	urldate = {2014-01-06},
	journal = {Mechanics of Materials},
	author = {Simo, J. C.},
	month = dec,
	year = {1985},
	pages = {439--451},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/GNZ34N6N/0167663685900390.html:text/html;Simo - 1985 - On the computational significance of the intermedi.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/RASWVRC6/Simo - 1985 - On the computational significance of the intermedi.pdf:application/pdf}
}

@inproceedings{stroustrup_evolving_2007,
	title = {Evolving a language in and for the real world: {C}++ 1991-2006},
	booktitle = {Proceedings of the third {ACM} {SIGPLAN} conference on {History} of programming languages},
	author = {Stroustrup, Bjarne},
	year = {2007},
	pages = {4--1}
}

@techreport{melin_modelisation_2015,
	address = {CEA Cadarache},
	type = {Rapport de stage de recherche},
	title = {Modélisation de la rupture de gaine dans un réacteur en cas d'accident d'injection de réactivité: aspects numériques et applications},
	institution = {École Polytechnique},
	author = {Melin, Sébastien},
	year = {2015}
}

@misc{milliard_mechanical_2014-1,
	address = {SEMI/LCMI},
	type = {Soutenance de stage},
	title = {Mechanical behavior of hexagonal tubes during accidental situation},
	language = {français},
	author = {Milliard, Franck and Courcelle, Arnaud and Gavoille, Pierre and Faleskog, Jonas},
	month = feb,
	year = {2014},
	file = {2014-02-21-Soutenance-Franck-Milliard-EM10.pptx:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/UGIWUKH7/2014-02-21-Soutenance-Franck-Milliard-EM10.pptx:application/vnd.openxmlformats-officedocument.presentationml.presentation}
}

@misc{edf_code_aster_2013,
	title = {Code\_Aster {Web} {Site}},
	url = {http://www.code-aster.org},
	author = {EDF},
	year = {2013}
}

@article{lee_stress_1998,
	title = {A stress integration algorithm for plane stress elastoplasticity and its applications to explicit finite element analysis of sheet metal forming processes},
	volume = {66},
	issn = {0045-7949},
	url = {http://www.sciencedirect.com/science/article/pii/S0045794997000515},
	doi = {10.1016/S0045-7949(97)00051-5},
	abstract = {A stable stress integration algorithm of the elastoplastic constitutive equations for materials under a plane stress condition has been developed. In the algorithm, the trial stress obtained by elastic prediction is geometrically relaxed to the closest point on the yield surface in the principal stress plane. The direction of return-mapping is first obtained through the minimization problem using the Newton-Raphson method, and thereafter the plastic parameter is determined. As a model of yield criterion, Hill's quadratic normal anisotropic yield function has been adopted. The accuracy of the algorithm has been shown by iso-error maps for several materials. It has been revealed that errors are within 5\% when the explicit time-integration method is adopted. In order to show the applicability of the algorithm, two kinds of sheet metal forming processes being able to represent various states of stress on the yield surface have been analyzed by FORMSYS-DE, the in-house explicit FEM code. The results of the simulations show good general coincidence with those of the experiments reported in the literature.},
	number = {2–3},
	urldate = {2014-01-29},
	journal = {Computers \& Structures},
	author = {Lee, S. W. and Yoon, J. W. and Yang, D. Y.},
	month = jan,
	year = {1998},
	pages = {301--311},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/D8HXZ2U4/Lee et al. - 1998 - A stress integration algorithm for plane stress el.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/N4SWPIPZ/S0045794997000515.html:text/html}
}

@inproceedings{brochard_modelling_2001,
	address = {Washington DC},
	title = {modelling of {Pellet} {Cladding} {Interaction} in {PWR} {Fuel}},
	booktitle = {{SMIRT} 16-{C}03/1},
	author = {Brochard, J. and Bentejac, F. and Hourdequin, N. and Seror, S. and Verdeau, C. and Fandeur, O. and Lansiart, S. and Verpeaux, P.},
	year = {2001}
}

@article{cyr_three_2015-1,
	title = {A three dimensional (3D) thermo-elasto-viscoplastic constitutive model for {FCC} polycrystals},
	volume = {70},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S0749641915000571},
	doi = {10.1016/j.ijplas.2015.04.001},
	abstract = {Elevated temperature has significant effect on the mechanical response of metals and alloys. Industrial processes often use high temperature forming to fabricate components of complex shape from alloys such as aluminum or magnesium that have low room temperature formability. Accurate forming models to integrate warm forming in computer aided engineering (CAE) in production environment has been hampered by a lack of constitutive relations at elevated temperatures, forcing one to rely on experimental data for such integration. In this paper, a new thermo elasto-viscoplastic (TEV) constitutive relation is developed to model the behavior of face-centred cubic (FCC) polycrystals, especially aluminum alloys, at elevated temperatures. The model takes into account the temperature dependence of the single crystal elastic coefficients, single slip hardening parameters, thermal softening, rate sensitivity, and the total deformation. The TEV framework has been implemented into the commercial finite element code LS-DYNA to study the effects of temperature on metal forming. Uniaxial tension simulations at six different temperatures ranging from 25 °C to 260 °C have been performed and calibrated with published experimental results. Equations for the variation of single-slip hardening parameters with temperature have been developed for the AA5754 aluminum alloy. Shear test simulations at different temperatures have been used to validate the model. The proposed framework for the single slip parameters for uniaxial tension accurately predicts the shear stress-shear strain data without the need for any further fitting parameter. Temperature dependence of texture evolution, single slip hardening and hardening rates, thermal softening, and slip activity in AA5754 sheet alloy during temperatures corresponding to warm forming temperatures are investigated.},
	urldate = {2015-05-20},
	journal = {International Journal of Plasticity},
	author = {Cyr, Edward D. and Mohammadi, Mohsen and Mishra, Raja K. and Inal, Kaan},
	month = jul,
	year = {2015},
	keywords = {A. Cutting and forming, B. Constitutive behavior, B. Crystal plasticity, B. Elastic-viscoplastic material, C. Finite elements},
	pages = {166--190},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/DKDQ5H9Z/Cyr et al. - 2015 - A three dimensional (3D) thermo-elasto-viscoplasti.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/2ZQJI8UZ/S0749641915000571.html:text/html}
}

@misc{forest_mecanique_2013,
	title = {Mécanique des milieux continus},
	url = {http://mms2.ensmp.fr/mmc_paris/mmc_paris.php},
	publisher = {École des Mines de Paris},
	author = {Forest, Samuel and Amestoy, Michel and Damamme, Gilles and Kruch, Serge and Maurel, Vincent and Mazière, Matthieu},
	year = {2013},
	file = {Forest et al. - 2013 - Mécanique des milieux continus.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/P2NV2NRH/Forest et al. - 2013 - Mécanique des milieux continus.pdf:application/pdf}
}

@techreport{struzik_test_2005,
	type = {mémo interne},
	title = {Test des lois de fluage d'irradiation des gaines recommandées par le {SRMA} dans les conditions {REP}},
	institution = {DEC/SESC/LSC},
	author = {Struzik, C. and Agard, M.},
	month = jan,
	year = {2005}
}

@book{billone_v4cr4ti_2009,
	title = {V–4Cr–4Ti material properties},
	url = {http://www-ferp.ucsd.edu/LIB/PROPS/vprop.htmlhttp://www-ferp.ucsd.edu/LIB/PROPS/vprop.html},
	author = {Billone, M.},
	year = {2009}
}

@techreport{nonon_synthese_2002,
	title = {synthèse de l'effet du taux de combustion sur le comportement en rampe de puissance -{Programme} expérimental {HO}6/5, $_{\textrm{2}}$ 4 cycles sans temps de maintien},
	number = {02-010},
	institution = {DEC/SESC/LIPA},
	author = {Nonon, C.},
	year = {2002}
}

@book{fortin_analyse_2001,
	address = {[Montréal]},
	title = {Analyse numérique pour ingénieurs},
	isbn = {2553009364 9782553009365},
	language = {French},
	publisher = {Presses internationales Polytechnique},
	author = {Fortin, André},
	year = {2001}
}

@article{miehe_constitutive_1998,
	title = {A constitutive frame of elastoplasticity at large strains based on the notion of a plastic metric},
	volume = {35},
	issn = {0020-7683},
	url = {http://www.sciencedirect.com/science/article/pii/S0020768397001753},
	doi = {10.1016/S0020-7683(97)00175-3},
	abstract = {The article presents a constitutive framework of large-strain elastoplasticity in both the Lagrangian and the Eulerian geometric setting which takes into account anisotropic material response. In summary, the key ingredients of this framework are: (i) the introduction of a plastic metric which is assumed to describe locally the history-dependent inelastic material response in the sense of an internal variable formulation. (ii) The definition of a convex elastic domain in the space of the local stress-like variable conjugate to the plastic metric, denoted as the plastic force. (iii) An equivalent Lagrangian and Eulerian representation of all constitutive functions as isotropic tensor functions in terms of an extended set of arguments, denoted as anisotropy variables. (iv) The set-up of normality rules for the evolution of the plastic metric and the anisotropy variables, yielding a canonical symmetric form of the elastoplastic tangent moduli. (v) A geometrically exact decomposition of the set of constitutive equations into possibly decoupled volumetric and isochoric contributions. Applications of the constitutive framework are demonstrated by means of several conceptual model problems which cover isotropic, initial anisotropic and induced anisotropic elastoplastic response.},
	number = {30},
	journal = {International Journal of Solids and Structures},
	author = {Miehe, Christian},
	month = oct,
	year = {1998},
	pages = {3859--3897},
	file = {Miehe - 1998 - A constitutive frame of elastoplasticity at large .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/J76XTCPT/Miehe - 1998 - A constitutive frame of elastoplasticity at large .pdf:application/pdf}
}

@article{dugdale_yielding_1960,
	title = {yielding of steel sheets containing slits},
	volume = {8},
	journal = {J. Mech. Solids},
	author = {Dugdale, D. S.},
	year = {1960},
	pages = {100--104}
}

@inproceedings{benallal_localisation_2004,
	title = {localisation de la déformation et de l'endommagement : description, problèmes associés et améliorations},
	booktitle = {mécanismes et mécanique des matériaux et structures à longueur interne : comportement et effets d'échelles},
	author = {Benallal, A.},
	month = jan,
	year = {2004},
	pages = {25--32}
}

@inproceedings{andrieux_analyse_2004,
	title = {Analyse de modèles non locaux d'endommagement},
	booktitle = {mécanismes et mécanique des matériaux et structures à longueur interne : comportement et effets d'échelles},
	author = {Andrieux, S. and Badel, P. and Cano, V. and Godard, V. and Lorentz, É},
	month = jan,
	year = {2004},
	pages = {25--32}
}

@misc{salome_adao_2014,
	title = {{ADAO}, a {SALOME} module for {Data} {Assimilation} and {Optimization}},
	url = {http://www.salome-platform.org/},
	author = {Salome},
	year = {2014}
}

@inproceedings{veldhuizen_active_1998,
	title = {Active {Libraries}: {Rethinking} the roles of compilers and libraries},
	shorttitle = {Active {Libraries}},
	abstract = {We describe Active Libraries, which take an active role in compilation. Unlike traditional libraries which are passive collections of functions and objects, Active Libraries may generate components, specialize algorithms, optimize code, configure and tune themselves for a target machine, and describe themselves to tools (such as profilers and debuggers) in an intelligible way. Several such libraries are described, as are implementation technologies.  1 Introduction  This paper attempts to document a trend toward libraries which take an active role in generating code and interacting with programming tools. We call these Active Libraries. They solve the problem of how to provide efficient domain-specific abstractions (Section 1.1): active libraries are able to define abstractions, and also control how they are optimized. Several existing libraries for arrays, parallel physics, linear algebra and Fast Fourier Transforms fit the description of active libraries (Section 2). These libraries ...},
	booktitle = {In {Proceedings} of the {SIAM} {Workshop} on {Object} {Oriented} {Methods} for {Inter}-operable {Scientific} and {Engineering} {Computing} ({OO}’98},
	publisher = {SIAM Press},
	author = {Veldhuizen, Todd L. and Gannon, Dennis},
	year = {1998},
	file = {Citeseer - Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/IE2ZPXBP/Veldhuizen et Gannon - 1998 - Active Libraries Rethinking the roles of compiler.pdf:application/pdf;Citeseer - Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/P3B2X7E7/summary.html:text/html}
}

@book{lemaitre_engineering_2005,
	address = {Berlin; New York},
	title = {Engineering damage mechanics: ductile, creep, fatigue and brittle failures},
	isbn = {3540215034  9783540215035  3642059988 9783642059988},
	shorttitle = {Engineering damage mechanics},
	language = {English},
	publisher = {Springer},
	author = {Lemaître, J and Desmorat, Rodrigue},
	year = {2005}
}

@techreport{helfer_notice_2011,
	title = {Notice d'utilisation et d'installation, descriptif informatique},
	number = {11-032},
	institution = {DEC/SESC/LSC},
	author = {Helfer, Thomas},
	year = {2011}
}

@book{_livraison_????,
	title = {Livraison d'un composant logiciel},
	number = {DEC MP2 PP N\${\textbackslash}mbox{\textasciicircum}{\textbackslash}circ\$1}
}

@techreport{escleine_thermique_2010,
	title = {Thermique des sphères du projet de dispositif {SEPIA}. {Alternative} au matériaux neutrophage \${\textbackslash}bqc\$ et autres perspectives},
	number = {10-009},
	institution = {DEC/SESC/LLSC},
	author = {Escleine, J.M.},
	year = {2010}
}

@book{lascaux_analyse_1994,
	address = {Paris; Milan; Barcelone},
	title = {Analyse numérique matricielle appliquée à l'art de l'ingénieur. {Tome} 2, {Tome} 2,},
	isbn = {2225845468  9782225845468},
	language = {French},
	publisher = {Masson},
	author = {Lascaux, Patrick and Théodor, Raymond},
	year = {1994}
}

@article{fuschi_studies_1992,
	title = {Studies on generalized midpoint integration in rate-independent plasticity with reference to plane stress {J}2-flow theory},
	volume = {43},
	issn = {0045-7949},
	url = {http://www.sciencedirect.com/science/article/pii/004579499290012O},
	doi = {10.1016/0045-7949(92)90012-O},
	abstract = {Issues related to use of the generalized midpoint integration in rate-independent plasticity are investigated restricting attention to plane stress J2-flow theory. Accuracy analysis is performed by developing the iso-error maps for a representative range of loading conditions and α-values utilized in the midpoint integration rule. Consequences of the discrete enforcement of the consistency condition on the numerical resolution of the boundary value problem are discussed. A numerical example is presented to test the influence of the choice of α-value on a global accuracy and effectiveness of the solution scheme.},
	number = {6},
	urldate = {2014-04-02},
	journal = {Computers \& Structures},
	author = {Fuschi, P. and Perić, D. and Owen, D. R. J.},
	month = jun,
	year = {1992},
	pages = {1117--1133},
	file = {Fuschi et al. - 1992 - Studies on generalized midpoint integration in rat.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/WAHSWBNX/Fuschi et al. - 1992 - Studies on generalized midpoint integration in rat.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/27E8JHES/004579499290012O.html:text/html}
}

@article{bourdin_numerical_2000,
	title = {numerical experiments in revisited brittle fracture},
	volume = {28},
	journal = {Journal of the Mechanics and Physics of Solids},
	author = {Bourdin, B. and Marigo, G. A. Francfort J. J.},
	year = {2000},
	pages = {797--826}
}

@techreport{baron_crayon_2002,
	type = {Cours de l'École {Centrale} de {Nantes}},
	title = {Le crayon combustible des réacteurs à eau pressurisée de grande puissance ({Tranches} \$900\$ et \$1300\$ {MWe})},
	institution = {EDF},
	author = {Baron, D. and Bouffioux, P.},
	year = {2002}
}

@misc{petersen_matrix_2008,
	title = {The {Matrix} {Cookbook}},
	url = {http://matrixcookbook.com},
	author = {Petersen, Kaare Brandt and Pedersen, Michael Syskind},
	month = nov,
	year = {2008},
	file = {matrixcookbook.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/N3VCFHB2/matrixcookbook.pdf:application/pdf}
}

@inproceedings{bentejac_toutatis_2004,
	address = {Aix-en-Provence, France},
	title = {{TOUTATIS} : an application of the {Cast}3M finite element code for {PCI} three dimensional modelling},
	booktitle = {pellet-clad interaction in water reactor fuels},
	author = {Bentejac, F. and Hourdequin, N.},
	month = mar,
	year = {2004}
}

@article{ortiz_finite-deformation_1999,
	title = {Finite-deformation irreversible cohesive elements for three dimensional crack-propagation analysis},
	journal = {Int. J. Numer. Meth. Engng. 44},
	author = {Ortiz, M. and Pandolfi, A.},
	year = {1999},
	pages = {pp. 1267--1282}
}

@techreport{bouhamou_parallelisation_2010,
	title = {Parallélisation dans {Pleiades} et application au modèle {Margaret}},
	number = {10-031},
	institution = {CEA DEN/DEC/SEC/LSC},
	author = {Bouhamou, N.},
	year = {2010}
}

@techreport{castelier_correlation_2012,
	type = {Note technique},
	title = {Corrélation d'images en espace et temps : application aux tubes composites \${SIC}/{SIC}\$},
	number = {12 - 026},
	institution = {DEC/SESC/LSC},
	author = {Castelier, É.},
	year = {2012}
}

@article{lorentz_variational_1999-1,
	title = {A variational formulation for non local damage models},
	volume = {15},
	journal = {International Journal of Plasticity},
	author = {Lorentz, É and Andrieux, S.},
	year = {1999},
	pages = {119--138}
}

@article{ortiz_variational_1999,
	title = {The variational formulation of viscoplastic constitutive updates},
	volume = {171},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/S0045782598002199},
	doi = {10.1016/S0045-7825(98)00219-9},
	abstract = {We present a class of constitutive updates for general viscoplastic solids including such aspects of material behavior as finite elastic and plastic deformations, non-Newtonian viscosity, rate-sensitivity and arbitrary flow and hardening rules. The distinguishing characteristic of the proposed constitutive updates is that, by construction, the corresponding incremental stress—strain relations derive from a pseudo-elastic strain-energy density. This, in turn, confers the incremental boundary value problem a variational structure. In particular, the incremental deformation mapping follows from a minimum principle. This minimum principle may conveniently be taken as a basis for error estimation and mesh adaption. The accuracy and robustness of the variational constitutive updates is demonstrated with the aid of convergence tests involving the finitely-deforming Mises solid and ductile single crystals. The ability of the updates to resolve the complex patterns of slip activity which arise in the latter application is particularly noteworthy.},
	number = {3–4},
	urldate = {2014-12-04},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Ortiz, M. and Stainier, L.},
	month = apr,
	year = {1999},
	pages = {419--444},
	file = {Ortiz et Stainier - 1999 - The variational formulation of viscoplastic consti.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/TVGQ4J9W/Ortiz et Stainier - 1999 - The variational formulation of viscoplastic consti.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/P9U3P2XX/S0045782598002199.html:text/html}
}

@article{bodoville_sur_1999,
	title = {Sur l'endommagement et les matériaux standard implicites},
	volume = {327},
	issn = {1287-4620},
	url = {http://www.sciencedirect.com/science/article/pii/S1287462099801252},
	doi = {10.1016/S1287-4620(99)80125-2},
	abstract = {The class of implicit standard materials, based on the introduction of a bipotential, has been proposed by de Saxcé. The kinetic isotropic damage law of Lemaitre is presented here as a new example of application.},
	number = {8},
	urldate = {2014-12-08},
	journal = {Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy},
	author = {Bodovillé, Guillaume},
	month = aug,
	year = {1999},
	keywords = {analyse convexe, bipotential, bipotentiel, constitutive laws, convex analysis, Damage, endommagement, lois de comportement, mécanique des matériaux solides, mechanics of solid materials, non associated plasticity, plasticité non associée},
	pages = {715--720},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/SXE3R97D/Bodovillé - 1999 - Sur l'endommagement et les matériaux standard impl.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/ECEJ3QTS/S1287462099801252.html:text/html}
}

@article{esmaeili_new_2014,
	title = {A new adaptive trust-region method for system of nonlinear equations},
	volume = {38},
	issn = {0307-904X},
	url = {http://www.sciencedirect.com/science/article/pii/S0307904X13007592},
	doi = {10.1016/j.apm.2013.11.023},
	abstract = {This study presents a new trust-region procedure to solve a system of nonlinear equations in several variables. The proposed approach combines an effective adaptive trust-region radius with a nonmonotone strategy, because it is believed that this combination can improve the efficiency and robustness of the trust-region framework. Indeed, it decreases the computational cost of the algorithm by decreasing the required number of subproblems to be solved. The global and the quadratic convergence of the proposed approach is proved without any nondegeneracy assumption of the exact Jacobian. Preliminary numerical results indicate the promising behavior of the new procedure to solve systems of nonlinear equations.},
	number = {11–12},
	urldate = {2014-08-21},
	journal = {Applied Mathematical Modelling},
	author = {Esmaeili, Hamid and Kimiaei, Morteza},
	month = jun,
	year = {2014},
	keywords = {Adaptive radius, Convergence theory, Nonlinear equations, Nonmonotone technique, Trust-region framework},
	pages = {3003--3015},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/SFUZ82QH/Esmaeili et Kimiaei - 2014 - A new adaptive trust-region method for system of n.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/DMSVI55I/S0307904X13007592.html:text/html}
}

@inproceedings{verpeaux_castem_1988,
	address = {Risley (UK)},
	title = {Castem 2000: a modern approach of computerized structural analysis},
	abstract = {Since the early beginning of the computerized structural analysis, many general purpose programs have been developed. Their complexity has increased rapidly and they became difficult to use and to maintain. The needs for an improved user's friendliness and the treatment of complex coupled problems have led to a modern tool: CASTEM 2000. It has profited by the general progress in computers technology and by a twenty years experience in large finite element codes. Its basic principles as well as examples of applications will be presented in this paper},
	author = {Verpeaux, Pierre and Millard, Alain and Hoffman, Alain and Ebersolt, L.},
	month = nov,
	year = {1988},
	file = {Verpeaux et al. - 1988 - Castem 2000 a modern approach of computerized str.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/MV7E7I8D/Verpeaux et al. - 1988 - Castem 2000 a modern approach of computerized str.pdf:application/pdf}
}

@article{di_marcello_transuranus_2014,
	title = {The {TRANSURANUS} mechanical model for large strain analysis},
	volume = {276},
	issn = {0029-5493},
	url = {http://www.sciencedirect.com/science/article/pii/S0029549314003008},
	doi = {10.1016/j.nucengdes.2014.04.041},
	abstract = {The TRANSURANUS fuel performance code was extended in order to take into account large creep strains for the simulation of clad ballooning occurring during loss-of-coolant accidents (LOCA). Additionally, the application range has been assessed. While the first order theory gives very good results for small strains below approximately 5\%, simulating large strains implies numerical instabilities evidenced by the violation of the volume balances. To this purpose, an extension of the algorithm used in TRANSURANUS was proposed and verified adopting different solution methods: an analytic solution and finite element calculations by means of COMSOL. In particular, creep calculations were carried out applying a Norton law that defines cladding creep strains under varying stress conditions. The verification against the numerical solution given by COMSOL and the analytic solution shows an excellent agreement of the radial profiles of stresses and strains.

The new code was applied to the simulation of cladding ballooning tests, and to an integral LOCA test of the FUMEX-III project. The impact of the new algorithm on the predicted time-to-burst and clad strain was assessed pointing out the effect of different failure criteria.},
	urldate = {2014-08-03},
	journal = {Nuclear Engineering and Design},
	author = {Di Marcello, Valentino and Schubert, Arndt and van de Laar, Jacques and Van Uffelen, Paul},
	month = sep,
	year = {2014},
	pages = {19--29},
	file = {Di Marcello et al. - 2014 - The TRANSURANUS mechanical model for large strain .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/XA7XEJGA/Di Marcello et al. - 2014 - The TRANSURANUS mechanical model for large strain .pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/AKZUHRQQ/S0029549314003008.html:text/html}
}

@article{jean_non-smooth_2001,
	title = {non-smooth contact dynamics approach of cohesive materials},
	volume = {359},
	journal = {R. Soc. London},
	author = {Jean, M. and Acary, V. and Monerie, Y.},
	year = {2001},
	pages = {2497--2518}
}

@inproceedings{waldier_energetic_2001,
	address = {Washington DC},
	title = {The energetic approach of elastoplastic fracture mechanics applied to the problem of unloading},
	booktitle = {{SMiRT} 16},
	author = {Waldier, Y. and Lorentz, Éric},
	year = {2001}
}

@inproceedings{forest_localization_2004,
	title = {Localization phenomena and regularization methods},
	booktitle = {Local {Approach} to fracture},
	author = {Forest, S. and Lorentz, É},
	editor = {presses, École des Mines de Paris-les},
	year = {2004},
	pages = {311--371}
}

@book{cea_optimisation_1971,
	series = {Méthodes mathématiques de l'informatique},
	title = {optimisation : théorie et algorithme},
	publisher = {Dunod},
	author = {Céa, J.},
	year = {1971}
}

@book{swig_simplified_2013,
	title = {Simplified {Wrapper} and {Interface} {Generator}},
	url = {http://www.swig.org/index.php},
	author = {SWIG},
	year = {2013}
}

@techreport{plancq_proposition_2001,
	title = {proposition de méthodologie et interprétation de calculs de rampes de puissance appliquées à l'étude de l'interaction pastille gaine},
	number = {01-035},
	institution = {CEA DEN/DEC/SESC/LLCC},
	author = {Plancq, D. and Struzik, C. and Garcia, P. and Agard, M. and Mecuson, G.},
	year = {2001}
}

@techreport{helfer_celaeno_2010,
	title = {Celaeno 2.0 : notice d'utilisation et descriptif informatique},
	number = {10-029},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Helfer, T.},
	year = {2010}
}

@article{xiao_corrigendum_2015,
	title = {Corrigendum to “{A} size-dependent tensorial plasticity model for {FCC} single crystal with irradiation” {Int}. {J}. {Plast}. 65 (2015), 152–167},
	volume = {69},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S074964191500039X},
	doi = {10.1016/j.ijplas.2015.02.009},
	urldate = {2015-04-13},
	journal = {International Journal of Plasticity},
	author = {Xiao, Xiazi and Song, Dingkun and Xue, Jianming and Chu, Haijian and Duan, Huiling},
	month = jun,
	year = {2015},
	pages = {170},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/UENXVFG6/Xiao et al. - 2015 - Corrigendum to “A size-dependent tensorial plastic.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/XDHFP7UI/S074964191500039X.html:text/html}
}

@techreport{proix_etude_2011,
	title = {Étude d'un critère de radialité},
	number = {CR-AMA-11.303},
	institution = {EDF-R\&D/AMA},
	author = {Proix, Jean-Michel},
	year = {2011}
}

@techreport{helfer_generateur_2013,
	type = {Note technique},
	title = {Le générateur de code mfront : écriture de lois de comportement mécanique},
	number = {13-020},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Helfer, Thomas and Castelier, Étienne and Blanc, Victor and Julien, Jérôme},
	year = {2013},
	file = {Helfer et al. - 2013 - Le générateur de code mfront  écriture de lois de.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/4KQU8B22/Helfer et al. - 2013 - Le générateur de code mfront  écriture de lois de.pdf:application/pdf}
}

@article{garner_recent_1984,
	title = {Recent insights on the swelling and creep of irradiated austenitic alloys},
	volume = {122},
	issn = {0022-3115},
	url = {http://www.sciencedirect.com/science/article/pii/002231158490641X},
	doi = {10.1016/0022-3115(84)90641-X},
	abstract = {It appears that all austenitic Fe-Ni-Cr alloys eventually swell during neutron irradiation at a rate of {\textasciitilde}1\%/dpa over a surprisingly large range of temperature. In addition, there is no evidence that saturation of swelling will occur in commercial alloys at engineering-relevant levels. The sensitivities of swelling to variations in composition, fabrication and environment lie almost exclusively in the duration of the transient regime of swelling. Irradiation creep rates at high exposures are also expected to exhibit a similar parametric insensitivity, largely because the major creep contribution appears to be proportional to the swelling rate.},
	number = {1–3},
	urldate = {2014-01-17},
	journal = {Journal of Nuclear Materials},
	author = {Garner, F. A.},
	month = may,
	year = {1984},
	pages = {459--471},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/S24INU7P/Garner - 1984 - Recent insights on the swelling and creep of irrad.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/ZRZ3MZQT/002231158490641X.html:text/html}
}

@techreport{edf_modeles_2013,
	type = {Référence du {Code} {Aster}},
	title = {Modèles de grandes déformations {GDEF}\_LOG et {GDEF}\_HYPO\_ELAS},
	url = {http://www.code-aster.org},
	number = {R5.03.24 révision : 10464},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	year = {2013},
	file = {r5.03.24.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/5SATTRRM/r5.03.24.pdf:application/pdf}
}

@book{veldhuizen_will_1997,
	title = {Will {C}++ be faster than {Fortran}? ({Extended} {Abstract})},
	shorttitle = {Will {C}++ be faster than {Fortran}?},
	abstract = {)  Todd L. Veldhuizen and M. Ed Jernigan  Vision and Image Processing Lab, Dept. of Systems Design Engineering University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1 tveldhui@monet.uwaterloo.ca 1. INTRODUCTION  As of 1994, the performance of C++ for scientific computing was disappointing. Typical benchmark results showed C++ lagging behind Fortran's performance by anywhere from 20\% to a factor of ten. The performance of C++ was so poor that mixed-language programming was necessary: a program's framework could be written in C++, but any speed-critical routines had to be coded in Fortran. In the past five years there have been significant developments. There is now an optimizing C++ compiler available from Kuck and Associates (KAI C++) [4] which is able to perform C++ specific optimizations. Two new programming techniques (expression templates and template metaprograms) trick the compiler into performing optimizations such as loop fusion and algorithm specialization. Recent benchmark...},
	author = {Veldhuizen, Todd L. and Jernigan, M.},
	year = {1997},
	file = {Citeseer - Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/98WSFFJJ/summary.html:text/html;Veldhuizen et Jernigan - 1997 - Will C++ be faster than Fortran (Extended Abstrac.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/5IKBNP7D/Veldhuizen et Jernigan - 1997 - Will C++ be faster than Fortran (Extended Abstrac.pdf:application/pdf}
}

@article{needleman_effect_1991,
	title = {effect of boundaries and interfaces on shear-band localization},
	volume = {28},
	number = {7},
	journal = {Int. J. Solids Structures},
	author = {Needleman, A. and Ortiz, M.},
	year = {1991},
	pages = {859--877}
}

@misc{fortin_les_????,
	title = {Les  éléments finis : de la théorie à la pratique},
	author = {Fortin, André and Garon, André},
	file = {notes_elements_finis.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/VFTQ6XER/notes_elements_finis.pdf:application/pdf}
}

@article{ben_bettaieb_numerical_2012,
	title = {On the numerical integration of rate independent single crystal behavior at large strain},
	volume = {32–33},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S074964191100180X},
	doi = {10.1016/j.ijplas.2011.10.010},
	abstract = {This paper presents a new numerical algorithm for the integration of the constitutive equations of a single crystal for finite rate-independent elastoplastic strains. The algorithm addressed in this paper is dedicated to face-centered-cubic (FCC) crystal structures. Its first feature is a much more efficient and more accurate integration scheme of the constitutive equations compared to previous attempts. This scheme is based on a fully implicit integration procedure, yet it may be transformed easily into an explicit scheme. Determining the set of active slip systems is performed by the use of a combinatorial search procedure, and the determination of the slip rates of the different active slip systems is based on the fixed point method. The second feature of this algorithm stems from the original method used to solve the ambiguity of the possible non-uniqueness of the set of active slip systems. A robust method, based on a small positive perturbation of the critical shear stresses, is proposed to overcome this difficulty. It is worth mentioning that the algorithm developed in this paper is not limited to one particular hardening law or to FCC crystal structures. Rather, it can be used and extended to various hardening laws and crystal structures (e.g. BCC or HCP…) in a straightforward manner. The authors demonstrate the performance of the proposed algorithm and illustrate its accuracy and efficiency through various numerical simulations at the single crystal and polycrystal scales. The predicted results obtained from those simulations were compared with those obtained using other numerical techniques and algorithms (i.e., a pseudo-inversion technique and an explicit algorithm). Our numerical predictions are also compared with some numerical and experimental results from other papers. The response of the polycrystal was computed by using the proposed algorithm combined with Taylor’s homogenization scheme, which is used to compute the overall polycrystalline behavior. The paper ends with a statistical study of the influence of the perturbation technique on the response prediction for a single crystal and a polycrystal.},
	urldate = {2014-01-16},
	journal = {International Journal of Plasticity},
	author = {Ben Bettaieb, Mohamed and Débordes, Olivier and Dogui, Abdelwaheb and Duchêne, Laurent and Keller, Clément},
	month = may,
	year = {2012},
	keywords = {FCC single crystal, Finite strain, Non-linear hardening, Numerical integration, Schmid’s law},
	pages = {184--217},
	file = {Ben Bettaieb et al. - 2012 - On the numerical integration of rate independent s.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/M5GSZTJ9/Ben Bettaieb et al. - 2012 - On the numerical integration of rate independent s.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/KU2XD494/S074964191100180X.html:text/html}
}

@article{fremond_damage_1996,
	title = {damage, gradient of damage and principle of virtual power},
	volume = {33},
	number = {8},
	journal = {International Journal of Solids and Structures},
	author = {Frémond, M. and Nedjar, B.},
	month = mar,
	year = {1996},
	pages = {1083--1103}
}

@techreport{helfer_proposition_2005,
	title = {Proposition d'un modèle d'endommagement pour la modélisation 3D du réseau de fissures secondaire apparaissant dans la pastille combustible - {Implantation} dans {Cast}3M},
	institution = {DEC/SESC/LLCC},
	author = {Helfer, Thomas},
	month = nov,
	year = {2005}
}

@inproceedings{blanc_characterization_2015,
	address = {Manchester UK},
	title = {Characterization, {Simulation} and {Improvement} of {Spacer} {Pads} {Mechanical} {Behaviour} for {Sodium} {Fast} {Reactor} {Fuel} {Subassemblies}},
	author = {Blanc, Victor and Jeanningros, Xavier and Helfer, Thomas and Lamagnère, Pierre and Beck, Thierry},
	month = aug,
	year = {2015}
}

@article{tvergaard_effect_1990,
	title = {effect of fibre debonding in a whisker reinforced metal},
	volume = {A125},
	journal = {Mater. Sci. Eng.},
	author = {Tvergaard, V.},
	year = {1990},
	pages = {pp. 203--213}
}

@article{mazars_unilateral_1990,
	title = {the unilateral behaviour of damaged concrete},
	volume = {35},
	number = {4/5},
	journal = {Engineering Fracture Mechanics},
	author = {Mazars, J. and Berthaud, Y. and Ramtani, S.},
	year = {1990},
	pages = {629--635}
}

@article{baron_cyrano3_1997,
	title = {{CYRANO}3 : un logiciel de nouvelle génération pour simuler le comportement des crayons combustible en réacteur},
	volume = {55},
	journal = {Epure},
	author = {Baron, D. and Ruck, J.-M. and Couty, J.-C. and Bonnières, P. de},
	year = {1997},
	pages = {29--40}
}

@techreport{flanagan_post_2013,
	title = {Post test examination, {Results} from integral, {High} burn up, fueled {LOCA} tests at {Studsvik} {Nuclear} {Laboratory}},
	number = {US NRC NUREG 2160},
	author = {Flanagan, Michelle and Askeljung, Peter},
	month = aug,
	year = {2013}
}

@phdthesis{godard_modelisation_2005,
	title = {modélisation de l'endommagement anisotrope du béton avec prise en compte de l'effet unilatéral : application à la simulation des enceintes de confinement nucléaires},
	school = {Université Paris VI},
	author = {Godard, V.},
	year = {2005}
}

@phdthesis{schwartz_approche_2011,
	address = {Paris},
	title = {Approche non locale en plasticité cristalline : application à l’étude du comportement mécanique de l’acier {AISI} 316LN en fatigue oligocyclique},
	abstract = {Si l’amorçage des fissures de fatigue est aujourd’hui bien compris dans le cas de monocristaux de métaux
purs, ce phénomène s’avère plus complexe à cerner et à prédire dans le cas d’alliages métalliques polycristallins
tels que l’acier AISI 316LN.
D’un point de vue expérimental, notre étude s’est concentrée sur la caractérisation du comportement mécanique
et l’étude, à différentes échelles, des phénomènes liés à l’amorçage des fissures de fatigue oligocyclique
dans l’acier 316LN. Pour des niveaux de déformation appliquée de 
=2 = 0; 3 et 0; 5\%, l’adoucissement cyclique
observé au cours des essais coïncide avec l’organisation des dislocations sous forme de bandes. Ces bandes se
forment suite à l’activation des systèmes de plus haut facteur de Schmid. Elles portent la majeure partie de la
déformation et provoquent en surface des intrusions et extrusions favorisant l’apparition et la coalescence de
fissures.
D’un point de vue modélisation, nous avons proposé un nouveau modèle de plasticité cristalline intégrant des
dislocations géométriquement nécessaires (GND) directement calculés à partir du second gradient de la rotation
élastique. Implémenté dans les codes d’éléments finis AbaqusTM et Cast3mTM, ce modèle s’inspire des travaux
sur le monocristal en transformation finie de Peirce et al. (1983) et de Teodosiu et al. (1993). Adapté au cas des
polycristaux par Hoc (1999) et Erieau (2003), il a été enrichi par l’introduction de GND selon la théorie proposée
par Acharya and Bassani (2000). Les simulations réalisées sur des différents types d’agrégats (2D extrudé et 3D)
montrent que le prise en compte de GND permet de :
– reproduire les effets de taille de grains au niveau macroscopique et local,
– décrire plus finement les champs de contraintes calculés.
Ces simulations ont aussi permis de mettre en évidence l’influence des matrices d’élasticité et d’écrouissage sur
les valeurs et l’évolution des contraintes macroscopiques effectives et cinématiques et le rôle important des conditions
aux limites lors des calculs d’agrégats.},
	school = {École Centrale Paris},
	author = {Schwartz, Julien},
	month = jun,
	year = {2011},
	file = {2011-Schwartz.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/EXUTUAFC/2011-Schwartz.pdf:application/pdf;SCHWARTZ.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/82UQHES6/SCHWARTZ.pdf:application/pdf}
}

@techreport{hourdequin_simulation_????,
	title = {simulation de la fragmentation du combustible dans {Toutatis} 2D : utilisation du modèle {\textbackslash}{nomOttosen}},
	number = {95-598},
	institution = {CEA},
	author = {Hourdequin, N. and Dowlatyari, P.},
	month = nov
}

@article{williamson_multidimensional_2012,
	title = {Multidimensional multiphysics simulation of nuclear fuel behavior},
	volume = {423},
	issn = {0022-3115},
	url = {http://www.sciencedirect.com/science/article/pii/S0022311512000165},
	doi = {10.1016/j.jnucmat.2012.01.012},
	abstract = {Nuclear fuel operates in an environment that induces complex multiphysics phenomena, occurring over distances ranging from inter-atomic spacing to meters, and times scales ranging from microseconds to years. This multiphysics behavior is often tightly coupled and many important aspects are inherently multidimensional. Most current fuel modeling codes employ loose multiphysics coupling and are restricted to 2D axisymmetric or 1.5D approximations. This paper describes a new modeling tool able to simulate coupled multiphysics and multiscale fuel behavior, for either 2D axisymmetric or 3D geometries. Specific fuel analysis capabilities currently implemented in this tool are described, followed by a set of demonstration problems which include a 10-pellet light water reactor fuel rodlet, three-dimensional analysis of pellet clad mechanical interaction in the vicinity of a defective fuel pellet, coupled heat transfer and fission product diffusion in a TRISO-coated fuel particle, a demonstration of the ability to couple to lower-length scale models to account for material property variation with microstructural evolution, and a demonstration of the tool’s ability to efficiently solve very large and complex problems using massively-parallel computing. A final section describes an early validation exercise, comparing simulation results to a light water reactor fuel rod experiment.},
	number = {1–3},
	urldate = {2014-01-09},
	journal = {Journal of Nuclear Materials},
	author = {Williamson, R. L. and Hales, J. D. and Novascone, S. R. and Tonks, M. R. and Gaston, D. R. and Permann, C. J. and Andrs, D. and Martineau, R. C.},
	month = apr,
	year = {2012},
	pages = {149--163},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/RUG9WX3R/S0022311512000165.html:text/html;Williamson et al. - 2012 - Multidimensional multiphysics simulation of nuclea.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/TZWH89SX/Williamson et al. - 2012 - Multidimensional multiphysics simulation of nuclea.pdf:application/pdf}
}

@article{miehe_superimposed_2000,
	title = {Superimposed finite elastic–viscoelastic–plastoelastic stress response with damage in filled rubbery polymers. {Experiments}, modelling and algorithmic implementation},
	volume = {48},
	issn = {0022-5096},
	url = {http://www.sciencedirect.com/science/article/pii/S0022509699000174},
	doi = {10.1016/S0022-5096(99)00017-4},
	abstract = {The paper presents a phenomenological material model for a superimposed elastic–viscoelastic–plastoelastic stress response with damage at large strains and considers details of its numerical implementation. The formulation is suitable for the simulation of carbon-black filled rubbers in monotonic and cyclic deformation processes under isothermal conditions. The underlying key approach is an experimentally motivated a priori decomposition of the local stress response into three constitutive branches which act in parallel: a rubber–elastic ground–stress response, a rate-dependent viscoelastic overstress response and a rate-independent plastoelastic overstress response. The damage is assumed to act isotropically on all three branches. These three branches are represented in a completely analogous format within separate eigenvalue spaces, where we apply a recently proposed compact setting of finite inelasticity based on developing reference metric tensors. On the numerical side, we propose a time integration scheme which exploits intrinsically the modular structure of the proposed constitutive model. This is achieved on the basis of a convenient operator split of the local evolution system, which we decouple into a stress evolution problem and a parameter evolution problem. The constitutive functions involved in the proposed model are specified for a particular filled rubber on the basis of a parameter identification process. The paper concludes with some numerical examples which demonstrate the overall response of the proposed model by means of a representative set of numerical examples.},
	number = {2},
	journal = {Journal of the Mechanics and Physics of Solids},
	author = {Miehe, Christian and Keck, Joachim},
	month = feb,
	year = {2000},
	keywords = {A. Hysteresis, B. Constitutive behaviour, C. Numerical algorithms, Finite strain, Rubber material},
	pages = {323--365}
}

@misc{marigo_plasticite_2014,
	title = {Plasticité et {Rupture}},
	url = {http://catalogue.polytechnique.fr/site.php?id=437&fileid=7378},
	author = {Marigo, Jean-Jacques},
	year = {2014}
}

@article{sansour_viscoplasticity_2003,
	title = {Viscoplasticity based on additive decomposition of logarithmic strain and unified constitutive equations: {Theoretical} and computational considerations with reference to shell applications},
	volume = {81},
	issn = {0045-7949},
	shorttitle = {Viscoplasticity based on additive decomposition of logarithmic strain and unified constitutive equations},
	url = {http://www.sciencedirect.com/science/article/pii/S0045794903001494},
	doi = {10.1016/S0045-7949(03)00149-4},
	abstract = {In contrast to multiplicative models of finite strain plasticity and viscoplasticity, a framework of additive nature is developed in this paper. The theory is based on the additive decomposition of the logarithmic strain tensor. The stress conjugate to the logarithmic strain then plays the role of the thermodynamically driving force. The approach in this paper is motivated by the search for numerically accessible structures which can be extended to incorporate anisotropy as well. Specifically in this region, multiplicative formulations become extremely tedious. The evolution equations are of the unified type due to Bodner and Partom, and are modified so as to fit into the theoretical framework adopted. The numerical treatment of the problem is fully developed. Specifically, the algorithmic aspects of the approach are discussed and various applications to shell problems are considered. A shell theory with seven degrees of freedom, together with a four-node enhanced strain finite element formulation, is used. A central feature of the shell formulation is its eligibility to the application of a three-dimensional constitutive law.},
	number = {15},
	urldate = {2015-04-23},
	journal = {Computers \& Structures},
	author = {Sansour, Carlo and Wagner, Werner},
	month = jul,
	year = {2003},
	keywords = {Algorithmic strain, Finite elements, Shell theory, Viscoplasticity},
	pages = {1583--1594},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/HFJE4QD4/Sansour et Wagner - 2003 - Viscoplasticity based on additive decomposition of.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/I4DKVXBX/S0045794903001494.html:text/html}
}

@inproceedings{plancq_pleiades_2004,
	address = {Florida},
	title = {{PLEIADES} : a unified environment for multi-dimensional fuel performance modeling},
	booktitle = {International meeting on {LWR} fuel performance},
	author = {Plancq, David and Thouvenin, Gilles and Ricaud, Jean-Marc and Struzik, Christine and Helfer, Thomas and Bentejac, Frédéric and Thévenin, Philippe and Masson, Renaud},
	year = {2004}
}

@techreport{edf_mfront03_2014,
	type = {Référence du {Code} {Aster}},
	title = {{MFRONT}03 – {Test} de l'interface {Code}\_Aster-{MFRONT} pour des lois avec orthotropie},
	url = {http://www.code-aster.org},
	number = {V1.03.128},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	month = apr,
	year = {2014}
}

@article{bretelle_formulation_2000,
	title = {Formulation du contact avec adhérence en élasticité non linéaire entre deux solides déformables},
	volume = {Tome 328},
	journal = {C. R. Acad. Sci. Paris},
	author = {Bretelle, A. S. and Cocu, M. and Monerie, Y.},
	year = {2000},
	pages = {203--208}
}

@techreport{helfer_description_2010,
	title = {Description du fichier d'entrée de la version 2.0 de {Celaeno}},
	institution = {DEC/SESC/LSC},
	author = {Helfer, Thomas},
	year = {2010},
	note = {à paraître}
}

@techreport{bonhomme_note_2009,
	title = {note de présentation de la base de données {\textbackslash}sirius version 2},
	number = {08 - 023},
	institution = {DEC/SESC/LSC},
	author = {Bonhomme, C.},
	year = {2009}
}

@misc{salvo_caracterisation_2014,
	address = {Cadarache},
	title = {Caractérisation expérimentale et modélisation du comportement mécanique de l’{UO}2 en compression à haute vitesse de sollicitation},
	language = {français},
	author = {Salvo, Maxime},
	month = feb,
	year = {2014},
	file = {Salvo - 2014 - Caractérisation expérimentale et modélisation du c.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/D3NIKTSK/Salvo - 2014 - Caractérisation expérimentale et modélisation du c.pdf:application/pdf}
}

@article{hure_warm_2015,
	title = {Warm {PreStress} effect on highly irradiated reactor pressure vessel steel},
	volume = {464},
	issn = {0022-3115},
	url = {http://www.sciencedirect.com/science/article/pii/S0022311515002561},
	doi = {10.1016/j.jnucmat.2015.04.046},
	abstract = {This study investigates the Warm Prestress (WPS) effect on 16MND5 (A508 Cl3) RPV steel, irradiated up to a fluence of 13 · 10 23 n . m - 2 (E \> 1 MeV) at a temperature of 288 ° C , corresponding to more than 60 years of operations in a French Pressurized Water Reactor (PWR). Mechanical properties, including tensile tests with different strain rates and tension–compression tests on notched specimens, have been characterized at unirradiated and irradiated states and used to calibrate constitutive equations to describe the mechanical behavior as a function of temperature and fluence. Irradiation embrittlement has been determined based on Charpy V-notch impact tests and isothermal quasi-static toughness tests. Assessment of WPS effect has been done through various types of thermomechanical loadings performed on CT(0.5 T) specimens. All tests have confirmed the non-failure during the thermo-mechanical transients. Experimental data obtained in this study have been compared to both engineering-based models and to a local approach (Beremin) model for cleavage fracture. It is shown that both types of modeling give good predictions for the effective toughness after warm prestressing.},
	urldate = {2015-05-28},
	journal = {Journal of Nuclear Materials},
	author = {Hure, J. and Vaille, C. and Wident, P. and Moinereau, D. and Landron, C. and Chapuliot, S. and Benhamou, C. and Tanguy, B.},
	month = sep,
	year = {2015},
	pages = {281--293},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/GFDP24QF/Hure et al. - 2015 - Warm PreStress effect on highly irradiated reactor.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/UJ8EGBXV/S0022311515002561.html:text/html}
}

@techreport{olagnon_analysis_2013,
	title = {Analysis of a new integrator for finite element code for the the calculation of fuel rods thermal-mechanical beahviour : mfront},
	number = {FS1-0010103},
	institution = {Areva-NP},
	author = {Olagnon, Julien and Garnier, Christophe},
	year = {2013},
	file = {Olagnon et Garnier - 2013 - Analysis of a new integrator for finite element co.doc:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/RKI3BGTR/Olagnon et Garnier - 2013 - Analysis of a new integrator for finite element co.doc:application/msword;Olagnon et Garnier - 2013 - Analysis of a new integrator for finite element co.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/B3I8SXWB/Olagnon et Garnier - 2013 - Analysis of a new integrator for finite element co.pdf:application/pdf}
}

@book{bailly_nuclear_1999,
	series = {Collection du commissariat à l'énergie atomique},
	title = {The nuclear fuel of pressurizd water reactors and fast reactors: design and behaviour},
	isbn = {CEA 2-7272-0198-2},
	publisher = {Intercept Ltd},
	editor = {Bailly, H. and Ménessier, D. and Prunier, C.},
	year = {1999}
}

@article{cuvilliez_finite_2012,
	title = {A finite element approach coupling a continuous gradient damage model and a cohesive zone model within the framework of quasi-brittle failure},
	volume = {237–240},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/S0045782512001466},
	doi = {10.1016/j.cma.2012.04.019},
	abstract = {A coupled continuous/discontinuous approach involving a gradient damage model and a cohesive zone model is proposed to simulate crack propagation in quasi-brittle materials. First, a semi analytical one-dimensional study is carried out on a bar submitted to tensile loading (in the case of inhomogeneous symmetrical damage localisation) in order to identify a set of cohesive laws allowing to switch from damage growth to cohesive crack opening. This continuous/discontinuous approach is constructed so that energetic equivalence between both models remains ensured whatever the damage level reached when switching. This strategy is then extended to the finite element framework, in the case of 2D (and 3D) crack propagation under mode I loading conditions. Both non local and cohesive models are combined using a critical damage criterion which is checked at the end of each converged time step.},
	urldate = {2014-09-30},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Cuvilliez, Sam and Feyel, Frédéric and Lorentz, Eric and Michel-Ponnelle, Sylvie},
	month = sep,
	year = {2012},
	keywords = {Cohesive zone model, Energetic equivalence, Finite element method, Gradient damage model},
	pages = {244--259},
	file = {Cuvilliez et al. - 2012 - A finite element approach coupling a continuous gr.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/AHK563D2/Cuvilliez et al. - 2012 - A finite element approach coupling a continuous gr.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/4JMB84VB/S0045782512001466.html:text/html}
}

@techreport{helfer_presentation_2007,
	title = {Présentation de l'application de génération de maillage {\textbackslash}{celaenoMesh}},
	number = {SESC/LSC 07-039},
	author = {Helfer, T.},
	year = {2007}
}

@techreport{ling_modelisation_2015,
	type = {Note technique},
	title = {Modélisation de la rupture ductile des internes de cuve irradiés - {Rapport} de 1ère année de {Thèse}},
	abstract = {Ce rapport constitue le bilan de la première année de thèse de C. LING dédiée à la « Modélisation de la
rupture ductile des internes de cuve irradiés ». L'objectif de cette thèse est de poursuivre et d’étendre les
travaux de la thèse de Xu Han (2009-2012) avec pour finalité de proposer une modélisation de l’effet des
cavités à l'échelle cristalline sur les propriétés mécaniques et notamment sur l’évolution de la ténacité des
structures Internes. Les résultats obtenus lors de la première année de thèse sont :
i.
ii.
iii.
Les lois de plasticité cristallines proposées par Xu Han pour décrire le comportement en fonction
de la dose ont été implémentées en petites déformations et en grandes transformations dans le
générateur de lois de comportement Mfront utilisable à terme dans Cast3m, dans Code\_Aster
(EDF) et dans le code Zset (Mines Paristech). Les tests de traction sur l’implémentation dans
Mfront ont été réalisés en comparaison avec les mêmes tests dans le code Z-set. Un bon accord
entre les deux codes a été observé avec le jeu de paramètres simplifiés (matrice d’interaction
entre systèmes de glissement homogène) validant l’implémentation dans Mfront. L’utilisation
d’une matrice d’interaction non-homogène telle que déterminée à partir des calculs de dynamique
de dislocations révèle de faibles écarts pour certaines directions cristallographiques lorsque le
comportement montre une phase d’adoucissement (état irradié). L’origine de ces écarts en en
cours d’étude.
Le formalisme en grandes transformations du modèle monocristallin homogénéisé poreux
proposé dans la thèse de Xu Han a été explicité et est présenté dans son intégralité dans ce
rapport.
L’extension du modèle d’homogénéisation monocristallin poreux à la description de la croissance
des cavités a été étudiée. Le caractère prédictif du modèle monocristallin poreux tel que proposé
par Xu Han a été étudié en comparant les comportements de référence (obtenus par calculs sur
la cellule poreuse) et à la réponse obtenue sur élément de volume. A partir des 456 calculs sur
cellule, il est mis en évidence un bon accord entre les vitesses de croissance obtenues par le
modèle homogénéisé et les calculs de référence pour un grand nombre de cas (orientation
cristallographique, porosité, triaxialité). Cependant, plusieurs cas ont été identifiés où la vitesse
de croissance de cavité est surestimée par le modèle homogénéisé. Des écarts significatifs sont
obtenus principalement pour des triaxialités entre 1/3 et 2. Afin d’étudier l’origine de ces écarts,
des équations analytiques ont été développées sous certaines hypothèses permettant d’obtenir la
solution exacte de la vitesse de croissance des cavités. Pour ces conditions particulières, il est
ainsi montré que les résultats du modèle homogénéisé obtenus par la simulation sont en accord
avec le calcul analytique, mais que ces résultats ne sont pas en accord avec ceux des calculs de
référence sur cellule poreuse. Deux phénomènes ont été identifiés comme cause possible des
écarts observés dans les calculs sur cellule poreuse (localisation de la déformation et bifurcation
numérique) et sont actuellement en cours d’étude. Par ailleurs, pour les très fortes triaxialités
({\textgreater}20), un écart entre les surfaces de charge effectives du modèle homogénéisé et celle issue du
calcul de référence a été identifié, mais ces niveaux de triaxialité ne sont pas d’intérêt pour notre
étude.
La deuxième de la thèse sera consacrée à : (i) la poursuite de l’étude du modèle homogénéisé
particulièrement pour la phase de coalescence, (ii) la prise en compte de l’effet de taille des cavités
en proposant un formalisme de plasticité à gradient qui sera intégré au modèle homogénéisé, (iii)
l’évaluation du comportement mécanique d’éprouvette de traction en présence d’une fissure.},
	number = {DEN/DANS/DMN/SEMI/LCMI/2015-008/A},
	institution = {CEA DEN/DANS/DMN/SEMI/LCMI},
	author = {Ling, Chao},
	month = mar,
	year = {2015},
	pages = {74},
	file = {Ling - 2015 - Modélisation de la rupture ductile des internes de.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/XR33WA38/Ling - 2015 - Modélisation de la rupture ductile des internes de.pdf:application/pdf}
}

@article{hj_matzke_surface_1980,
	title = {the surface energy of $_{\textrm{2}}$ as determined by hertzian indentation},
	volume = {91},
	journal = {Journal of Nuclear Materials},
	author = {Hj Matzke, T. Inoue and Warren, R.},
	year = {1980},
	pages = {205--220}
}

@inproceedings{garcia_temperature_1998,
	title = {temperature calculations and the effect of modelling the fuel mechanical behaviour},
	booktitle = {thermal performance of high burn-up {LWR} {Fuel}},
	publisher = {OCDE/AEN},
	author = {Garcia, P. and Struzik, C. and Veyrier, N.},
	month = mar,
	year = {1998}
}

@techreport{otter_fluage_1975,
	title = {fluage de l'oxyde d'uranium en pile et hors pile},
	number = {136},
	institution = {CEA/SEAMA},
	author = {Otter, C.},
	year = {1975}
}

@techreport{portier_edgar_2003,
	address = {Saclay},
	type = {Note technique},
	title = {{EDGAR} - {Modèle} v1 de comportement en gonflement et rupture en conditions {APRP} de l'alliage {MT} à l'état de réception},
	language = {français},
	number = {NT SRMA 2003-2562},
	institution = {CEA DEN/DMN/SRMA},
	author = {Portier, Laurence and Brachet, J.C.},
	month = aug,
	year = {2003},
	file = {Portier et Brachet - 2003 - EDGAR - Modèle v1 de comportement en gonflement et.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7XXDQ2D3/Portier et Brachet - 2003 - EDGAR - Modèle v1 de comportement en gonflement et.pdf:application/pdf}
}

@techreport{garcia_etude_2000,
	title = {Étude des phénomèmes contribuant à la déformation d'une gaine {REP} en fonctionnement normal et incidentel. {Cas} du crayon \${J}12-2\$},
	number = {00-020},
	institution = {DEC/SESC/LSC},
	author = {Garcia, P. and Plancq, D. and Struzik, C.},
	year = {2000}
}

@techreport{marigo_endommagement_2000,
	title = {l'endommagement et la rupture : hier, aujourd'hui et demain},
	institution = {IPSI : Comportements non linéaires des matériaux},
	author = {Marigo, J.-J.},
	month = mar,
	year = {2000}
}

@techreport{bargellini_hsnv121_2009,
	type = {Référence du {Code} {Aster}},
	title = {{HSNV}121 - {Traction} en grandes déformations plastiques d'un barreau sous chargement thermique},
	url = {http://www.code-aster.org},
	abstract = {Ce test thermomécanique quasi-statique consiste à chauffer uniformément un barreau de section rectangulaire (3D) ou cylindrique (2D axisymétrique) puis à le soumettre à une traction. On valide
ainsi la cinématique des grandes déformations en plasticité (commande STAT\_NON\_LINE, mot-clé deformation : 'SIMO\_MIEHE' ou 'PETIT\_REAC') pour une relation de comportement en
grandes déformations avec écrouissage isotrope linéaire (commande STAT\_NON\_LINE, mot-clé
relation : 'VMIS\_ISOT\_LINE' et 'VMIS\_ISOT\_TRAC') avec chargement
thermomécanique. Avec des modélisations coque ou plaque, les grandes déformations en plasticité sont accessibles grâce au mot-clé deformation : 'PETIT\_REAC' pourvu que les rotations restent faibles.
Le barreau est modélisé par un élément volumique (HEXA20, modélisation A) ou quadrangulaire (QUAD4, pour une modélisation axisymétrique, modélisation B) ou par des éléments de plaque ou de coque (DKT pour la modélisation C et COQUE\_3D pour la modélisation D).},
	number = {V7.22.121 révision : 0},
	institution = {EDF-R\&D/AMA},
	author = {Bargellini, Renaud},
	month = jun,
	year = {2009},
	file = {v7.22.121.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/F8UPI3FV/v7.22.121.pdf:application/pdf}
}

@techreport{edf_integration_2012,
	type = {Référence du {Code} {Aster}},
	title = {Intégration implicite et explicite des relations de comportements non linéaires},
	url = {http://www.code-aster.org},
	number = {R5.03.14 révision : 9045},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	year = {2012}
}

@article{larsson_discontinous_1993,
	title = {Discontinous displacement approximation for capturing plastic localization},
	volume = {36},
	journal = {International Journal for Numerical Methods in Engineering},
	author = {Larsson, R. and Runesson, K. and Ottosen, N. S.},
	year = {1993},
	pages = {2087--2105}
}

@book{stroustrup_langage_2003,
	address = {Paris},
	title = {Le langage {C}++, édition spéciale revue et corrigée},
	publisher = {Pearson Education France},
	author = {Stroustrup, B.},
	year = {2003}
}

@article{ju_two-dimensional_1991,
	title = {on two-dimensional self-consistent micromechanical damage models for brittle solids},
	volume = {27},
	number = {n 2},
	journal = {Int. J. Solids Structures},
	author = {Ju, J. W.},
	year = {1991},
	pages = {227--258}
}

@book{coirier_mecanique_2001,
	edition = {2{\textbackslash}textsuperscriptde},
	title = {mécanique des milieux continus},
	publisher = {Dunod},
	author = {Coirier, J.},
	year = {2001}
}

@misc{_ifa_2015,
	title = {{IFA} 650.15 {LOCA} test: {Experimental} conditions determination  {French} organizations contribution},
	language = {English},
	month = sep,
	year = {2015}
}

@techreport{pelletier_recueil_2004,
	type = {Note technique},
	title = {Recueil de données sur le combustible carbure mixte {UPuC}},
	number = {02-018 Indice 1},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Pelletier, M.},
	month = apr,
	year = {2004},
	file = {Pelletier - 2004 - Recueil de données sur le combustible carbure mixt.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/AQR82EIR/Pelletier - 2004 - Recueil de données sur le combustible carbure mixt.pdf:application/pdf}
}

@inproceedings{garnier_copernic_2004-1,
	address = {Aix-en-Provence, France},
	title = {The {Copernic} mechanical model and its application to doped fuel},
	booktitle = {Pellet-clad {Interaction} in {Water} {Reactor} {Fuels}. {Seminar} {Proceedings}.},
	publisher = {Organisation for Economic Co-Operation and Development - Nuclear Energy Agency},
	author = {Garnier, C. and Mailhe, P. and Vesco, P. and Bernard, L.C. and Delafoy, C. and Garcia, P.},
	month = mar,
	year = {2004}
}

@inproceedings{caillerie_introduction_2004,
	series = {Colloque national {Mecamat}},
	title = {introduction à la mécanique des milieux continus généralisés},
	booktitle = {Mécanismes et mécanique des matériaux et structures à longueur interne : comportement et effet d'échelle},
	author = {Caillerie, D. and Chambon, R.},
	month = jan,
	year = {2004},
	pages = {19--23}
}

@techreport{fink_thermodynamic_1981,
	title = {Thermodynamic properties of {Uranium} dioxide},
	number = {ANL-CEN-RSD-80-3},
	institution = {Argonne National Laboratory},
	author = {Fink, J.K. and Chasanov, M.G. and Leibowitz, L.},
	month = apr,
	year = {1981},
	file = {Fink et al. - 1981 - Thermodynamic properties of Uranium dioxide.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/843IEIEV/Fink et al. - 1981 - Thermodynamic properties of Uranium dioxide.pdf:application/pdf}
}

@misc{verpeaux_algorithmes_2014,
	type = {Support de cours},
	title = {Algorithmes et méthodes},
	url = {http://www-cast3m.cea.fr/index.php?xml=supportcours},
	author = {Verpeaux, Pierre},
	year = {2014},
	file = {Algorithmes-et-methodes.ppt:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/PQ4NS55G/Algorithmes-et-methodes.ppt:application/msword}
}

@article{miehe_numerical_1996,
	title = {Numerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticity},
	volume = {134},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/0045782596010195},
	doi = {10.1016/0045-7825(96)01019-5},
	abstract = {An algorithm for the numerical computation of so-called algorithmic or consistent tangent moduli in finite inelasticity is presented. These moduli determine the sensitivity of algorithmic expressions for stresses with respect to the change in total deformation. They serve as iteration operators by application of Newton-type solvers for the iterative solution of non-linear initial-boundary-value problems in finite inelasticity. The underlying concept of the numerical computation is a perturbation technique based on a forward difference approximation which reduces the computation of the tangent moduli to a multiple stress computation. The algorithmic procedure is material-independent and surprisingly simple. It is outlined for a Lagrangian, as well as an Eulerian geometric setting and applied to model problems of finite elasticity and finite elastoplasticity.},
	number = {3–4},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Miehe, Christian},
	month = aug,
	year = {1996},
	pages = {223--240},
	file = {1-s2.0-0045782596010195-main.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/FTH38EKV/1-s2.0-0045782596010195-main.pdf:application/pdf}
}

@techreport{helfer_description_2008,
	title = {Description du fichier d'entrée de {Celaeno}},
	number = {08-009},
	institution = {DEC/SESC/LSC},
	author = {Helfer, T.},
	year = {2008}
}

@techreport{occelli_outil_2014,
	address = {Cadarache},
	title = {Outil de modélisation en poutre de la tenue mécanique d'un élément absorbant de {RNR}-{Na}, post-traitement par des raccords poutre-massif : application au séisme},
	abstract = {L’étude décrite dans ce document s’inscrit dans le contexte du développement du réacteur ASTRID. Les travaux des ingénieurs sur le réacteur combinent des études de dimensionnement où les différents
éléments sont représentés sous forme de plaque et de poutre. Ces calculs sont souvent suffisants, mais se pose parfois la question d’interpréter les résultats obtenus quand des concentrations de contraintes apparaissent et mettent à défaut les hypothèses de calcul poutre. En particulier, il faut pouvoir recalculer les contraintes sur l’élément "réel".

Ces calculs poutre peuvent également servir à :
1) avoir des conditions aux limites pour des calculs massifs,
2) transférer des efforts entre différents calculs 3D par l’intermédiaire d’une modélisation poutre.
La première partie de cette étude a pour objectifs de tester des méthodes de relocalisation déjà existantes et d’en mettre de nouvelles en place. Ces méthodes de relocalisation sont des méthodes
de raccord entre une modélisation poutre et une modélisation massif. Une première méthode a été implémentée dans le code de calcul Cast3m, et transmet la cinématique poutre au modèle massif
en considérant l’hypothèse des petites rotations de sections. Une deuxième méthode de raccord sera envisagée en se basant sur la méthode d’homogénéisation d’Etienne Castelier. A ce jour, il reste à
"l’industrialiser".

La seconde partie est consacrée à la modélisation de l’insertion d’une barre de commande dans son fourreau de barre, dans le cadre de désalignements pouvant être causés par un séisme. Deux
modèles seront envisagés, amanenant chacun une vision différente du phénomène. La vérification et la comparaison des modèles seront établies et conduiront à proposer un outil de calcul qui sera utilisé par
les concepteurs de coeur de réacteur. Cet outil constitue une première phase dans l’étude mécanique de la barre de commande. Les résultats obtenus devront être post-traités avec les procédures de raccord proposées pour pouvoir relocaliser les contraintes dans le matériau.
L’essentiel du stage s’est fait avec Cast3m pour le prototypage. Ces méthodes de raccord et de relocalisation ont pour objectif final d’être intégrée dans le code de calcul Licos afin d’obtenir un outil
le plus simple possible.},
	language = {français},
	institution = {Insa Lyon},
	author = {Occelli, Matthieu and Helfer, Thomas and Zabiego, Maxime and Castelier, Étienne},
	month = jan,
	year = {2014},
	file = {Occelli et al. - 2014 - Outil de modélisation en poutre de la tenue mécani.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/RRIS9QNZ/Occelli et al. - 2014 - Outil de modélisation en poutre de la tenue mécani.pdf:application/pdf}
}

@techreport{barret_reecriture_2008,
	type = {rapport de l'{IUT} d'{Aix} en {Provence} {Département} informatique},
	title = {Réécriture des modèles mécanique, thermique et diffusif de l'application de simulation du comportement des combustibles de réacteurs à hautes températures {Atlas}},
	institution = {Université Aix Marseille},
	author = {Barret, M. and Michel, F.},
	year = {2008}
}

@book{driesen_direct_1995,
	title = {The {Direct} {Cost} of {Virtual} . . .},
	abstract = {We study the direct cost of virtual function calls in C++ programs, assuming the standard implementation using virtual function tables. We measure this overhead experimentally for a number of large benchmark programs, using a combination of executable inspection and processor simulation. Our results show that the C++ programs measured spend a median of 5.2 \% of their time and 3.7 \% of their instructions in dispatch code. For “all virtuals” versions of the programs, the median overhead rises to 13.7 \% (13 \% of the instructions). The “thunk ” variant of the virtual function table implementation reduces the overhead by a median of 21 \% relative to the standard implementation. On future processors, these overheads are likely to increase moderately.},
	author = {Driesen, Karel and Hölzle, Urs},
	year = {1995},
	file = {Citeseer - Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/FSWVNT33/summary.html:text/html;Driesen et Hölzle - 1995 - The Direct Cost of Virtual . . ..pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/HVVF8MP4/Driesen et Hölzle - 1995 - The Direct Cost of Virtual . . ..pdf:application/pdf}
}

@techreport{callahan_ductile_2014,
	address = {Master 2 MAGIS – Arts et Métiers ParisTec},
	type = {Rapport de stage},
	title = {Ductile {Fracture} of {Irradiated} {Materials}: {Influence} of {Radiation}-{Induced} {Hardening} on {Growth} and {Coalescence} of {Voids}},
	author = {Callahan, Mike},
	month = jun,
	year = {2014},
	file = {Callahan - 2014 - Ductile Fracture of Irradiated Materials Influenc.docx:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/72QDC7XG/Callahan - 2014 - Ductile Fracture of Irradiated Materials Influenc.docx:application/vnd.openxmlformats-officedocument.wordprocessingml.document}
}

@article{georgenthum_scanair_2014,
	title = {{SCANAIR} a transient fuel performance code {Part} two: {Assessment} of modelling capabilities},
	volume = {280},
	issn = {0029-5493},
	shorttitle = {{SCANAIR} a transient fuel performance code {Part} two},
	url = {http://www.sciencedirect.com/science/article/pii/S0029549314002556},
	doi = {10.1016/j.nucengdes.2014.04.030},
	abstract = {In the frame of their research programmes on fuel safety, the French Institut de Radioprotection et de Sûreté Nucléaire develops the SCANAIR code devoted to the study of irradiated fuel rod behaviour during reactivity initiated accident. A first paper was focused on detailed modellings and code description. This second paper deals with the status of the code validation for pressurised water reactor rods performed thanks to the available experimental results. About 60 integral tests carried out in CABRI and NSRR experimental reactors and 24 separated tests performed in the PATRICIA facility (devoted to the thermal-hydraulics study) have been recalculated and compared to experimental data. During the first stage of the transient, the pellet clad mechanical interaction phase, there is a good agreement between calculations and experiments: the clad residual elongation and hoop strain of non failed tests but also the failure occurrence and failure enthalpy of failed tests are correctly calculated. After this first stage, the increase of cladding temperature can lead to the Departure from Nucleate Boiling. During the film boiling regime, the clad temperature can reach a very high temperature (\>700 °C). If the boiling crisis occurrence is rather well predicted, the calculation of the clad temperature and the clad hoop strain during this stage have still to be improved.},
	urldate = {2014-12-04},
	journal = {Nuclear Engineering and Design},
	author = {Georgenthum, Vincent and Moal, Alain and Marchand, Olivier},
	month = dec,
	year = {2014},
	pages = {172--180},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/C466BXI9/Georgenthum et al. - 2014 - SCANAIR a transient fuel performance code Part two.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/NGK3WB3A/S0029549314002556.html:text/html}
}

@techreport{sidoroff_formulations_1981,
	type = {Rapport {GRECO}},
	title = {Formulations élasto-plastiques en grandes déformations},
	url = {http://perso.ec-lyon.fr/francois.sidoroff/coursGD/EcEte.html},
	number = {29/1981},
	institution = {CNRS},
	author = {Sidoroff, François},
	year = {1981},
	file = {Sidoroff - 1981 - Formulations élasto-plastiques en grandes déformat.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/56G8N3I6/Sidoroff - 1981 - Formulations élasto-plastiques en grandes déformat.pdf:application/pdf}
}

@article{laverne_approche_2004,
	title = {Approche globale, minima relatifs et critère d'amor{\textbackslash}ccage en mécanique de la rupture},
	volume = {332},
	journal = {Comptes Rendus Mécanique},
	author = {Laverne, J. and Marigo, J. J.},
	month = jan,
	year = {2004}
}

@techreport{pascal_notice_2005-1,
	title = {Notice d'utilisation du composant thermique de {PLEIADES} : {TRANONPL}},
	number = {RT/05-009/A PLE 05-005},
	institution = {SEMT/LM2S},
	author = {Pascal, Serge},
	month = mar,
	year = {2005},
	file = {Notice_TRANONPL.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/4FRN62UW/Notice_TRANONPL.pdf:application/pdf}
}

@article{miehe_multisurface_1996,
	title = {Multisurface thermoplasticity for single crystals at large strains in terms of eulerian vector updates},
	volume = {33},
	issn = {0020-7683},
	url = {http://www.sciencedirect.com/science/article/pii/002076839500274X},
	doi = {10.1016/0020-7683(95)00274-X},
	abstract = {This paper presents a formulation of large-strain rate-independent multisurface thermoplasticity for single crystals and addresses aspects of its numerical implementation. The theoretical frame is the well-established continuum slip theory based on the multiplicative decomposition of the deformation gradient into elastic and plastic parts. A key feature of the present paper is the introduction and computational exploitation of a particularly simple hyperelastic stress response function based on a further multiplicative decomposition of the elastic deformation gradient into spherical and unimodular parts, resulting in a very convenient representation of the Schmid resolved shear stresses on the crystallographic slip systems in terms of a simple inner product of Eulerian vectors. This observation is intrinsically exploited on the numerical side by formulating a new fully implicit stress update algorithm and the associated consistent elastoplastic moduli in terms of these Eulerian vectors. The proposed return mapping algorithm treats the possibly redundant constraints of large-strain multisurface plasticity for single crystals by means of an active set search. Furthermore, it satisfies in an algorithmically exact way the plastic incompressibility condition in situations of multislip. The performance of the proposed formulation is demonstrated for two representative numerical simulations of thermoplastic deformation processes in single crystals with isotropic Taylor-type hardening.},
	number = {20–22},
	journal = {International Journal of Solids and Structures},
	author = {Miehe, C.},
	month = aug,
	year = {1996},
	pages = {3103--3130}
}

@article{kachanov_microcrack_1982,
	title = {A microcrack model of rock inelasticity part ii : propagation of microcracks},
	number = {1},
	journal = {Mechanics of Materials},
	author = {Kachanov, M. L.},
	year = {1982},
	pages = {29--41}
}

@book{_notice_2005,
	title = {Notice de l'opérateur {VARI}},
	year = {2005},
	note = {http://www-cast3m.cea.fr/cast3m/printnotice.do?name=VARIhttp://www-cast3m.cea.fr/cast3m/}
}

@article{bilteryst_energy_2003,
	title = {An energy based analysis of the pull-out problem},
	volume = {22},
	journal = {European Journal of Mechanics},
	author = {Bilteryst, F. and Marigo, J.-J.},
	year = {2003},
	pages = {55--69}
}

@inproceedings{garcia_modelling_1997,
	series = {Division {C}},
	title = {Modelling the steady state and transient mechanical behaviour of fuel rods},
	booktitle = {Proceedings of the $^{\textrm{th\$}}$ {SMIRT} {Conference}, {Lyon}, {France}},
	author = {Garcia, P. and Moyne, M.},
	year = {1997},
	pages = {263--270}
}

@article{borst_fracture_2002,
	title = {Fracture in quasi-brittle materials : a review of continuum damage-based approaches},
	volume = {69},
	journal = {Engineering Fracture Mechanics},
	author = {Borst, R. de},
	year = {2002},
	pages = {95--112}
}

@book{ekeland_analyse_1974,
	title = {Analyse convexe et problèmes variationnels},
	publisher = {Dunod Gauthier-Villars Paris},
	author = {Ekeland, I. and Temam, R.},
	year = {1974}
}

@article{nethercote_valgrind:_2007,
	title = {Valgrind: a framework for heavyweight dynamic binary instrumentation},
	volume = {42},
	issn = {0362-1340},
	url = {http://doi.acm.org/10.1145/1273442.1250746},
	doi = {http://doi.acm.org/10.1145/1273442.1250746},
	number = {6},
	journal = {SIGPLAN Not.},
	author = {Nethercote, Nicholas and Seward, Julian},
	month = jun,
	year = {2007},
	pages = {89--100}
}

@article{simo_formulations_1992,
	title = {Formulations of finite elasticity with independent rotations},
	volume = {95},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/0045782592901449},
	doi = {10.1016/0045-7825(92)90144-9},
	abstract = {Variational formulations for classical nonlinear elasticity amenable to finite element discretization are presented in which the rotation field plays the role of an independent variable. The central idea the proposed approach is to regard the classical theory as a generalized model with an added independent rotation field which is constrained to coincide with the rotation of the medium. For three-dimensional solids, the independent rotation field is the rotation tensor from the polar decomposition of the deformation gradient. The variational formulation is then constructed merely by enforcing the constraint on the independent rotation field via a Lagrange multiplier term which is shown to vanish at equilibrium.},
	number = {2},
	urldate = {2014-01-06},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Simo, J. C. and Fox, D. D. and Hughes, T. J. R.},
	month = mar,
	year = {1992},
	pages = {277--288},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/BHUACAAT/0045782592901449.html:text/html;Simo et al. - 1992 - Formulations of finite elasticity with independent.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/28Q7E7NS/Simo et al. - 1992 - Formulations of finite elasticity with independent.pdf:application/pdf}
}

@article{rilem_determination_1986,
	title = {determination of the fracture energy of mortar and concrete by means of three point bend tests of notched beams},
	volume = {18},
	journal = {Matériaux et Constructions},
	author = {RILEM, 50-FMC Comitte Fracture Mechanics of Concrete},
	year = {1986},
	pages = {285--290}
}

@techreport{peneliau_etude_2006,
	title = {Étude neutronique de l'irradiation {FUTURIX}/{CONCEPTS} dans le réacteur {Phénix} pour le dossier de sûreté - aiguilles carbures},
	number = {06-410},
	institution = {CEA DEN/DER/SPRC/LEDC},
	author = {Peneliau, Y.},
	month = sep,
	year = {2006}
}

@article{zeng_hertzian_1992-1,
	title = {the hertzian stress field and formation of cone cracks-i. theretical approach},
	volume = {40},
	number = {10},
	journal = {Acta metall. mater.},
	author = {Zeng, K. and Breder, K. and Rowcliffe, D. J.},
	year = {1992},
	pages = {2595--2600}
}

@techreport{limon_modegeneral_1998,
	title = {modèle général pour application de lois de déformation de matériau de gainage anisotrope à un logiciel crayon combustible},
	number = {RT/98-022/A},
	institution = {SEMI/LEMO},
	author = {Limon, R.},
	year = {1998}
}

@incollection{van_uffelen_3.19_2012,
	address = {Oxford},
	title = {3.19 - {Oxide} {Fuel} {Performance} {Modeling} and {Simulations}},
	isbn = {978-0-08-056033-5},
	url = {http://www.sciencedirect.com/science/article/pii/B9780080560335000719},
	abstract = {The ultimate goal of simulating nuclear fuel is to predict a fuel rod’s behavior and lifetime in a reactor. Doing so requires taking into account the coupled effects of heat transfer, the mechanical interaction between the fuel and its surrounding protection, the isotopic evolution caused by the irradiation, and the chemical interactions between fuel, fission products, cladding, and coolant. In view of the strong interactions between the various aspects of fuel performance and the resulting mathematical problems, the simulation of the fuel behavior requires fuel performance codes, which are being used by safety authorities, research organizations, and fuel vendors. The basic equations for each aspect of the codes are described in this chapter, together with the specific features of and modeling requirements for the design basis accident analysis. Finally, this chapter also outlines the advanced issues and future needs of fuel performance codes for nuclear fuel rods based on oxides.},
	urldate = {2014-09-02},
	booktitle = {Comprehensive {Nuclear} {Materials}},
	publisher = {Elsevier},
	author = {Van Uffelen, P. and Suzuki, M.},
	editor = {Konings, Rudy J. M.},
	year = {2012},
	keywords = {Cladding ballooning, Cladding corrosion, Fission gas behavior, Fission product release, Fuel rod, Fuel rod growth, High-burnup structure, Light water reactor fuel, Loss-of-coolant accident, Mixed oxide fuel, Pellet–cladding interaction, Reactivity initiated accident, Simulations, Thermal conductivity, Zircaloy},
	pages = {535--577},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/Q36WN7MG/B9780080560335000719.html:text/html;Van Uffelen et Suzuki - 2012 - 3.19 - Oxide Fuel Performance Modeling and Simulat.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/DEGQBR49/Van Uffelen et Suzuki - 2012 - 3.19 - Oxide Fuel Performance Modeling and Simulat.pdf:application/pdf}
}

@inproceedings{verpeaux_castem2000_1998,
	title = {{CASTEM}2000 : une approche moderne du calcul des structures},
	booktitle = {Calcul des structures et intelligence artificielle},
	publisher = {Pluralis Editions},
	author = {Verpeaux, Pierre and Charras, Thierry and Millard, Alain},
	year = {1998}
}

@techreport{castelier_modelisation_2003,
	title = {Modélisation des échanges thermiques dans un puits d'entreposage},
	number = {SAMRA 03-05},
	institution = {DED/SAMRA/LGEM},
	author = {Castelier, Étienne and Marignol, S.},
	year = {2003}
}

@techreport{ottaviani_calcul_2006,
	title = {Calcul des propriétés thermophysiques des cermets au {Molybdène} de l'irradiation {FUTURIX}-{FTA}},
	number = {06-171},
	institution = {CEA DEN/DEC/SPUA/LMPC},
	author = {OTTAVIANI, J.P.},
	year = {2006}
}

@article{ammar_combining_2009,
	title = {Combining phase field approach and homogenization methods for modelling phase transformation in elastoplastic media},
	volume = {18},
	issn = {1250-6559},
	doi = {10.3166/ejcm.18.485-523},
	journal = {Revue européenne des éléments finis},
	author = {Ammar, K. and Appolaire, B. and Cailletaud, Georges and Forest, Samuel},
	year = {2009},
	pages = {485--523},
	file = {Ammar et al. - 2009 - Combining phase field approach and homogenization .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7I8VDXZ3/Ammar et al. - 2009 - Combining phase field approach and homogenization .pdf:application/pdf;Combining phase field approach and homogenization methods for modelling phase transformation in elastoplastic media - ResearchGate:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/DWUDRX9J/234057714_Combining_phase_field_approach_and_homogenization_methods_for_modelling_phase_transfo.html:text/html}
}

@article{chaboche_aspect_1978,
	title = {Aspect phénoménologique de la rupture par endommagement},
	volume = {2},
	number = {3},
	journal = {Journal de Mécanique Appliquée},
	author = {Chaboche, J.L. and Lemaître, J.},
	year = {1978},
	pages = {317--365}
}

@book{laurent_caracterisation_2008,
	title = {Caractérisation d'un matériau composite {SiC}/{SiC}},
	author = {Laurent, F.},
	year = {2008},
	note = {Published: Rapport de stage LCTS}
}

@article{brace_dilatancy_1966,
	title = {Dilatancy in {Fracture} of {Crystalline} {Rocks}},
	volume = {71},
	journal = {Journal of Geophysical Research},
	author = {Brace, W. F. and Pauding, B. W. and Scholz, C.},
	year = {1966},
	pages = {3939--3953}
}

@techreport{helfer_basic_2013,
	title = {Basic modelling of a fuel rod: a tutorial class for the {INPG}/{MANUEN} master},
	abstract = {Fuel rods used in industrial reactors are made up of a stack of fuel
pellets in a cylindrical cladding.

Fuel performance codes have two main goals{\textasciitilde}: describing the overall
fuel rod behaviour and assessing the likelihood of cladding failure
under normal and off-normal operating conditions.

Those codes are usually structured around the thermo-mechanical
description of the fuel pellet and cladding. In such a description,
the coolant is only accounted for through boundary conditions,
imposing both temperature and pressure on the cladding outer
radius.

This tutorial class aims at introducing the main basis of such
thermo-mechanical description of the fuel rod behaviour at the
beginning of life. This implies that some important physical
phenomenon, such as swelling due to fission products, or mechanical
behaviour, such as creep, will be neglected.},
	author = {Helfer, Thomas and Bruno, Éric and Blanc, Victor},
	month = nov,
	year = {2013},
	file = {exercise.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/H6VV5TUF/exercise.pdf:application/pdf}
}

@misc{helfer_two-dimensional_2006,
	title = {Two-dimensional modelling of {PWR} fuel rods - analysis of fuel cracking. 9th {European} {Mechanics} of {Material} {Conference}: {Local} {Approach} to {Fracture}. {Moret}-sur-{Loing} , {France}},
	author = {Helfer, Thomas and Castelier, Étienne and Garcia, Philippe},
	month = may,
	year = {2006}
}

@incollection{rcc-mx_regle_2008,
	title = {Règle de conception et de construction des matériels mécaniques des réacteurs expérimentaux, de leurs auxiliaires, et des dispositifis d'irradiation},
	publisher = {Commissariat à l'Énergie Atomique},
	editor = {RCC-MX},
	year = {2008}
}

@misc{bouineau_kick-off_2014,
	address = {Cadarache},
	title = {Kick-off meeting {Irradiation} program},
	language = {English},
	author = {Bouineau, Vincent},
	month = feb,
	year = {2014},
	file = {Bouineau - 2014 - Kick-off meeting Irradiation program.pptx:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/DEENA6IK/Bouineau - 2014 - Kick-off meeting Irradiation program.pptx:application/vnd.openxmlformats-officedocument.presentationml.presentation}
}

@article{yang_variational_2006,
	title = {A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids},
	volume = {54},
	issn = {0022-5096},
	url = {http://www.sciencedirect.com/science/article/pii/S0022509605001511},
	doi = {10.1016/j.jmps.2005.08.010},
	abstract = {A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids is presented. The coupled thermo-mechanical boundary-value problem under consideration consists of the equilibrium problem for a deformable, inelastic and dissipative solid with the heat conduction problem appended in addition. The variational formulation allows for general dissipative solids, including finite elastic and plastic deformations, non-Newtonian viscosity, rate sensitivity, arbitrary flow and hardening rules, as well as heat conduction. We show that a joint potential function exists such that both the conservation of energy and the balance of linear momentum equations follow as Euler–Lagrange equations. The identification of the joint potential requires a careful distinction between equilibrium and external temperatures, which are equal at equilibrium. The variational framework predicts the fraction of dissipated energy that is converted to heat. A comparison of this prediction and experimental data suggests that α -titanium and Al2024-T conform to the variational framework.},
	number = {2},
	urldate = {2014-12-04},
	journal = {Journal of the Mechanics and Physics of Solids},
	author = {Yang, Q. and Stainier, L. and Ortiz, M.},
	month = feb,
	year = {2006},
	keywords = {Coupled problems, Heat conduction, Irreversible processes, Variational principles, Viscoplasticity},
	pages = {401--424},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/MQCN7QID/S0022509605001511.html:text/html;Yang et al. - 2006 - A variational formulation of the coupled thermo-me.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/PHBG93QH/Yang et al. - 2006 - A variational formulation of the coupled thermo-me.pdf:application/pdf}
}

@inproceedings{gregor_concepts:_2006,
	title = {Concepts: {Linguistic} support for generic programming in {C}},
	shorttitle = {Concepts},
	abstract = {Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. To copy otherwise, to republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee.},
	booktitle = {{SIGPLAN} {Notices}},
	publisher = {ACM Press},
	author = {Gregor, Douglas and Stroustrup, Bjarne and Järvi, Jaakko and Reis, Gabriel Dos and Siek, Jeremy and Lumsdaine, Andrew},
	year = {2006},
	pages = {291--310},
	file = {Citeseer - Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/5R29XZS4/summary.html:text/html;Gregor et al. - 2006 - Concepts Linguistic support for generic programmi.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/5XMPHZDV/Gregor et al. - 2006 - Concepts Linguistic support for generic programmi.pdf:application/pdf}
}

@article{halphen_sur_1973,
	title = {sur les lois de comportement élasto-visco-plastique à potentiel généralisé},
	volume = {277},
	journal = {Compte Rendu de l'Académie des Sciences série A},
	author = {Halphen, B. and Nguyen, Q. S.},
	year = {1973},
	pages = {319--322}
}

@article{caminero_modeling_2011,
	series = {Computational {Fluid} and {Solid} {Mechanics} 2011 {Proceedings} {Sixth} {MIT} {Conference} on {Computational} {Fluid} and {Solid} {Mechanics}},
	title = {Modeling large strain anisotropic elasto-plasticity with logarithmic strain and stress measures},
	volume = {89},
	issn = {0045-7949},
	url = {http://www.sciencedirect.com/science/article/pii/S0045794911000447},
	doi = {10.1016/j.compstruc.2011.02.011},
	abstract = {In this paper we present a model and a fully implicit algorithm for large strain anisotropic elasto-plasticity with mixed hardening in which the elastic anisotropy is taken into account. The formulation is developed using hyperelasticity in terms of logarithmic strains, the multiplicative decomposition of the deformation gradient into an elastic and a plastic part, and the exponential mapping. The novelty in the computational procedure is that it retains the conceptual simplicity of the large strain isotropic elasto-plastic algorithms based on the same ingredients. The plastic correction is performed using a standard small strain procedure in which the stresses are interpreted as generalized Kirchhoff stresses and the strains as logarithmic strains, and the large strain kinematics is reduced to a geometric pre- and post-processor. The procedure is independent of the specified yield function and type of hardening used, and for isotropic elasticity, the algorithm of Eterović and Bathe is automatically recovered as a special case. The results of some illustrative finite element solutions are given in order to demonstrate the capabilities of the algorithm.},
	number = {11–12},
	urldate = {2015-04-23},
	journal = {Computers \& Structures},
	author = {Caminero, Miguel Ángel and Montáns, Francisco Javier and Bathe, Klaus-Jürgen},
	month = jun,
	year = {2011},
	keywords = {Computational elasto-plasticity, Hyperelasticity, Large strains, Logarithmic strains, Mixed hardening},
	pages = {826--843},
	file = {Caminero et al. - 2011 - Modeling large strain anisotropic elasto-plasticit.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/F3AQ9QXT/Caminero et al. - 2011 - Modeling large strain anisotropic elasto-plasticit.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/MQ2VUWC6/S0045794911000447.html:text/html}
}

@phdthesis{giusti_comportement_2007,
	title = {Comportement des pastilles d'{UO}2 des réacteurs à eau sous pression : caractérisation du comportement en fluage et modélisation approchée des effets de structure},
	school = {École Nationale Supérieure des Arts et Métiers},
	author = {Giusti, L. and Gautier, L.},
	year = {2007}
}

@techreport{helfer_realisation_2007,
	title = {Réalisation d'études paramétriques avec {Celaeno}},
	institution = {DEC/SESC/LSC},
	author = {Helfer, Thomas},
	year = {2007}
}

@misc{fsf_gnu_2014,
	title = {{GNU} {Compiler} {Collection} ({GCC})},
	url = {http://gcc.gnu.org/},
	author = {FSF, (Free Software Foundation)},
	year = {2014}
}

@misc{foundation_gnu_2006,
	title = {{GNU} coding standards},
	url = {http://www.gnu.org/prep/standards},
	author = {Foundation, Free Software},
	month = nov,
	year = {2006},
	note = {http://www.gnu.org/prep/standards/http://www.gnu.org/prep/standards/}
}

@article{miehe_theoretical_1998,
	title = {A theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strains},
	volume = {155},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/S0045782597001497},
	doi = {10.1016/S0045-7825(97)00149-7},
	abstract = {The article presents new aspects of large-strain isotropic elastoplastic analysis of shells. On the shell theory side, we consider several possible continuum based parametrizations of the shell deformation and investigate their applicability with respect to the implementation of general three-dimensional local constitutive models. As an aspect of computational shell analysis we then discuss in detail the numerical implementation of a shell based on the parametrization of the top and bottom surface in terms of a new 8-node brick-type mixed finite shell element on the basis of assumed strain and enhanced strain variational approaches. On the side of plasticity theory we adopt a recently proposed intermediate-configuration-free formulation of large-strain plasticity based on the notion of a plastic metric and consider its representation with respect to the parameter manifold of the shell. This frame is formulated in terms of principal strains and principal stresses with respect to dual co- and contra-variant eigenvector triads associated with a mixed-variant elastic strain tensor. The new aspect of computational plasticity is the development of a stress update algorithm for the plasticity model mentioned above which includes a general return mapping in the eigenvalue space. The algorithm can be applied to general coordinate charts and is particularly convenient when formulated with respect to the space of the curvilinear coordinates of the shell parametrization. We demonstrate the performance of the finite element formulation and constitutive algorithms by means of several numerical examples.},
	number = {3–4},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Miehe, Christian},
	month = mar,
	year = {1998},
	pages = {193--233}
}

@techreport{struzik_analyse_????,
	title = {analyse comparée du comportement en rampe de puissance des crayons combustibles {MOX} {ET} $_{\textrm{2}}$},
	institution = {DEC},
	author = {Struzik, C. and Basini, V. and Caillot, L. and Nonon, C. and Plancq, D.}
}

@article{mattos_simple_1992,
	title = {A simple model of the mechanical behaviour of ceramic-like materials},
	volume = {29},
	number = {24},
	journal = {Int. J. Solids Structures},
	author = {Mattos, H. Costa and Frémond, M. and Mamiya, E. N.},
	year = {1992},
	pages = {3185--3200}
}

@article{alessi_gradient_????,
	title = {Gradient damage models coupled with plasticity: {Variational} formulation and main properties},
	issn = {0167-6636},
	shorttitle = {Gradient damage models coupled with plasticity},
	url = {http://www.sciencedirect.com/science/article/pii/S0167663614000039},
	doi = {10.1016/j.mechmat.2013.12.005},
	abstract = {A variational formulation is proposed for a family of elastic–plastic–damage models within the framework of rate-independent materials. That consists first in defining the total energy which contains, in particular, a gradient damage term and a term which represents the plastic dissipation but depends also on damage. Then, the evolution law is deduced from the principles of irreversibility, stability and energy balance. Accordingly, the plastic dissipation term which appears both in the damage criterion and the plastic yield criterion plays an essential role in the damage–plasticity coupling. Suitable constitutive choices on how the plastic yield stress decreases with damage, allows us to obtain a rich variety of coupled responses. A particular attention is paid on the equations which govern the formation of cohesive cracks where the displacement is discontinuous and the plasticity localizes. In the one-dimensional traction test where the solution is obtained in a closed form, we show that, because of damage localization, a cohesive crack really appears at the center of the damage zone before the rupture and the associated cohesive law is obtained in closed form in terms of the constitutive parameters. A Finite Element discrete version of the energy functional is used to simulate a two-dimensional traction test over a rectangular domain with mixed boundary conditions; again a localized band of plastic strain is generated seemingly independent of the mesh size.},
	urldate = {2014-09-30},
	journal = {Mechanics of Materials},
	author = {Alessi, Roberto and Marigo, Jean-Jacques and Vidoli, Stefano},
	keywords = {Cohesive crack, Ductile fracture, Gradient damage model, Plasticity, Variational approach},
	file = {Alessi et al. - Gradient damage models coupled with plasticity Va.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/4JSD3TD4/Alessi et al. - Gradient damage models coupled with plasticity Va.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/NR2PHDT7/S0167663614000039.html:text/html}
}

@techreport{helfer_specification_2007,
	type = {Note interne},
	title = {Spécification du code généré par la base de données de propriétés physique {\textbackslash}sirius},
	institution = {DEC/SESC/LSC},
	author = {Helfer, T. and Bouhamou, N. and Bonhomme, C.},
	year = {2007}
}

@book{stroustrup_langage_2004,
	address = {Paris},
	title = {Le langage {C}++},
	isbn = {2744070033 9782744070037},
	language = {French},
	publisher = {Pearson Education},
	author = {Stroustrup, Bjarne and Eberhardt, Christine},
	year = {2004}
}

@article{lorentz_gradient_2005-1,
	title = {Gradient constitutive relations: numerical aspects and application to gradient damage},
	volume = {194},
	issn = {0045-7825},
	shorttitle = {Gradient constitutive relations},
	url = {http://www.sciencedirect.com/science/article/pii/S0045782505000307},
	doi = {10.1016/j.cma.2004.12.016},
	abstract = {The description of localisation and structural failure through local strain-softening constitutive laws leads to ill-posed problems. To retrieve a well-posed problem, the material state is described through the gradients of internal variables in addition to the strain and the internal variables themselves. Under some assumptions, it is shown that these gradient laws can be cast into a variational formulation. After time discretisation, the evolution of the internal variable field is characterised by a minimum principle. A specific algorithm is proposed to perform the minimisation in the context of finite elements. Finally, it is applied to a gradient brittle damage model.},
	number = {50–52},
	urldate = {2014-10-29},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Lorentz, E. and Benallal, A.},
	month = dec,
	year = {2005},
	keywords = {Augmented lagrangian, Damage, Gradient constitutive laws, Strain-softening, Variational formulation},
	pages = {5191--5220},
	file = {Lorentz et Benallal - 2005 - Gradient constitutive relations numerical aspects.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/K2G64KRG/Lorentz et Benallal - 2005 - Gradient constitutive relations numerical aspects.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/NXR6Q7ZT/S0045782505000307.html:text/html}
}

@techreport{edf_loi_2003,
	type = {Manuel de référence {Code}\_Aster},
	title = {Loi d'endommagement d'un matériau élastique fragile},
	number = {R5.03.18-A},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	month = nov,
	year = {2003},
	note = {{\textbackslash}protect{\textbackslash}hyperlienhttp://www.code-aster.orgwww.code-aster.org}
}

@techreport{asta_dimensionnement_2011,
	type = {mémoire de fin d'études},
	title = {Dimensionnement thermomécanique de l'élément combustible pour le réacteur de 4ıeme génération à netrons rapides, refroidi au sodium {ASTRID}},
	institution = {École Nationale Supérieure de Mécanique et des Microstechniques},
	author = {Asta, P.},
	year = {2011}
}

@techreport{blanc_integration_2011,
	title = {Intégration d'un algorithme de résolution au générateur de code {MFront} - application au modèle couplé fluage-fissuration},
	number = {11 - 026},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Blanc, Victor and Julien, Jérôme},
	year = {2011},
	file = {Blanc et Julien - 2011 - Intégration d'un algorithme de résolution au génér.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/XNATRC72/Blanc et Julien - 2011 - Intégration d'un algorithme de résolution au génér.pdf:application/pdf}
}

@article{desquines_mechanical_2005,
	title = {Mechanical {Properties} of {Zircaloy}-4 {PWR} {Fuel} {Cladding} {With} {Burnup} 54–64MWd/{kgU} and {Implications} for {RIA} {Behavior}},
	volume = {2},
	number = {6},
	journal = {Journal of ASTM international},
	author = {Desquines, Jean and Cazalis, Bernard and Bernaudat, Christian and Poussard, Christophe and Averty, Xavier and Yvon, Pascal},
	year = {2005},
	pages = {851--872},
	file = {Desquines et al. - 2005 - Mechanical Properties of Zircaloy-4 PWR Fuel Cladd.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/CMMCTDEW/Desquines et al. - 2005 - Mechanical Properties of Zircaloy-4 PWR Fuel Cladd.pdf:application/pdf}
}

@techreport{lambert_minutes_2014,
	address = {Cadarache et Saclay},
	type = {Compte-rendu de réunion},
	title = {Minutes of the {Kick}-{Off} {Meeting} {CYCLADE}},
	language = {English},
	number = {CEA/DEN/DEC/CP 14-14 (DR)},
	institution = {CEA DEN/CAD/DEC/PROJETES},
	author = {Lambert, Thierry},
	month = mar,
	year = {2014}
}

@techreport{lorentz_introduction_1998,
	title = {Introduction dans le code {Aster} d'un modèle de comportement en grandes transformations elastoplastique avec écrouissage isotrope},
	abstract = {Dans cette note, nous présentons deux modèles de comportement plastique isotrope en grandes déformations basés, respectivement ; sur une approche thermodynamique à variables internes et sur une approche en vitesse . Nous nous intéressons ensuite à l'intégration algorithmique de ces deux lois . On montre que le modèle retenu et implanté dans le Code Aster (Sùnq Miehe) permet de traiter de manière exacte les grandes rotations, ce qui n'est pas le cas avec un modèle en vitesse . On propose pour le modèle retenu une formulation variationnelle discrétisée eulérienne, avec réactualisation de la géométrie et qui tient compte de la rigidité de comportement et de la rigidité géométrique. Cette formulation est donnée dans le cas d'un problème tridimensionnel, axisymétrique ou en déformations planes . Nous donnons également deux approches plus simples sur le plan algorithmique qui traitent les cas où les déformations sont grandes et les rotations petites (PETIT RÉAC) et inversement . A travers quelques exemples numériques, on montre d'une part que le modèle implanté donne bien une solution exacte en présence de grandes rotations, ce qui n'est pas le cas en utilisant PETIT\_REAC et d'autre part que les temps de calculs sont, pour les cas tests réalisés, inférieurs à ceux de
PETIT REAC.},
	number = {HI 74/98/006/0},
	institution = {EDF Département Mécanique et Modèle Numérique. Groupe Mécanique Théorique et Applications},
	author = {Lorentz, Éric},
	month = aug,
	year = {1998},
	file = {Lorentz - 1998 - Introduction dans le code Aster d'un modèle de com.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7AK9ZP3U/Lorentz - 1998 - Introduction dans le code Aster d'un modèle de com.pdf:application/pdf}
}

@article{roy_simulation_2001,
	title = {Simulation of ductile crack growth in thin aluminium panels using \$3D\$ surface cohesive elements},
	volume = {110},
	journal = {International Journal of fracture},
	author = {Roy, Y. Arun and Dodds, R. H.},
	year = {2001},
	pages = {21--45}
}

@article{anderson_iterative_1965,
	title = {Iterative {Procedures} for {Nonlinear} {Integral} {Equations}},
	volume = {12},
	issn = {0004-5411},
	url = {http://doi.acm.org/10.1145/321296.321305},
	doi = {10.1145/321296.321305},
	number = {4},
	urldate = {2015-01-27},
	journal = {J. ACM},
	author = {Anderson, Donald G.},
	month = oct,
	year = {1965},
	pages = {547--560},
	file = {Anderson - 1965 - Iterative Procedures for Nonlinear Integral Equati.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/QREGJ6KE/Anderson - 1965 - Iterative Procedures for Nonlinear Integral Equati.pdf:application/pdf}
}

@misc{helfer_code_2013,
	address = {Cadarache},
	title = {Le code de conception {LICOS}},
	author = {Helfer, Thomas},
	month = sep,
	year = {2013},
	file = {Helfer - 2013 - Le code de conception LICOS.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/B5364DSC/Helfer - 2013 - Le code de conception LICOS.pdf:application/pdf}
}

@techreport{ravenet_regles_1992,
	title = {Régles d'{Analyse} {Mécanique} des {Structures} {Irradiés}},
	number = {CEA-R-5618},
	institution = {CEA},
	author = {Ravenet, Alain and al},
	year = {1992},
	file = {Ramses II Rapport CEA-R-5618 .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/VUXXG98J/Ramses II Rapport CEA-R-5618 .pdf:application/pdf}
}

@book{vandevoorde_c++_2002,
	title = {C++ {Templates}: {The} {Complete} {Guide}},
	isbn = {978-0201734843},
	publisher = {Addison Wesley},
	author = {Vandevoorde, D. and Josuttis, N.M.},
	year = {2002}
}

@article{miehe_entropic_1995,
	title = {Entropic thermoelasticity at finite strains. {Aspects} of the formulation and numerical implementation},
	volume = {120},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/004578259400057T},
	doi = {10.1016/0045-7825(94)00057-T},
	abstract = {This paper presents a formulation of isotropic finite strain thermoelasticity and addresses some aspects of its numerical implementation. On the theoretical side, a Eulerian setting of isotropic thermoelasticity is discussed, based on the Finger tensor as a strain measure. Novel aspects are a direct representation of the Eulerian thermoelastic moduli in terms of the Finger tensor and a rigorous decomposition of the thermoelastic response functions into decoupled volumetric and isochoric contributions based on a multiplicative split of the Finger tensor into spherical and unimodular parts. An algorithmic procedure for the computation of the stress and thermoelastic moduli, based on a representation of the free energy in terms of eigenvalues of the unimodular part of the Finger tensor, is developed and applied to model problems of strictly entropic and modified entropic thermoelasticity. Furthermore, two algorithms for the solution of the coupled problem are discussed, based on operator splits of the global field equations of thermoelasticity. The paper concludes with some representative numerical simulations of thermoelastic processes in rubber-like materials.},
	number = {3–4},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Miehe, C.},
	month = feb,
	year = {1995},
	pages = {243--269},
	file = {Miehe_EntropicThermoElasticity.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/9N32Z4UX/Miehe_EntropicThermoElasticity.pdf:application/pdf}
}

@techreport{de_bonnieres_integration_????,
	type = {Référence du {Code} {Aster}},
	title = {Intégration des relations de comportement viscoélastiques dans l'opérateur {STAT}\_NON\_LINE},
	url = {http://www.code-aster.org},
	number = {R5.03.08-B},
	institution = {EDF-R\&D/AMA},
	author = {de Bonnières, P. and Masson, R.}
}

@article{burlet_numerical_1986,
	title = {numerical techniques for cyclic plasticity at variable temperature},
	volume = {3},
	journal = {Eng. Comput.},
	author = {Burlet, H. and Cailletaud, G.},
	year = {1986},
	pages = {143--153}
}

@article{barenblatt_mathematical_1962,
	title = {the mathematical theory of equilibrium cracks in brittle fracture},
	volume = {7},
	journal = {Adv. Appl. Mech.},
	author = {Barenblatt, G. I.},
	year = {1962},
	pages = {55--129}
}

@phdthesis{pacull_modenumerique_2011,
	title = {Modèle numérique micro-mécanique d'agrégat polycristallin pour le comportement des combustibles oxydes},
	url = {http://www.theses.fr/2011AIX10021},
	abstract = {Dans les réacteurs nucléaires à eau sous-pression, le combustible est constitué de pastilles d’oxyde d’uranium (UO2), dont le comportement ne peut être simulé qu'à travers une modélisation multi-échelles et multi-physiques, tenant compte à la fois de la thermo-mécanique et de la physico-chimie relative aux produits de fission. L’évolution récente des modèles et des moyens de calcul a permis de développer les simulations à l’échelle de la microstructure et d’accroitre les possibilités de couplage. Ce travail concerne le développement d'un modèle de comportement thermo-mécanique de l’UO2 à l’échelle du polycristal. Le comportement du VER est analysé en termes de réponse effective et de phénomènes de localisation. Nous nous intéressons notamment aux valeurs de pression hydrostatique, qui pilotent le transport des produits de fission. La robustesse des résultats obtenus en fonction du choix du maillage éléments finis est étudiée. Une série de calculs est présentée afin de trouver un compromis satisfaisant en termes de discrétisation pour une estimation correcte des contraintes locales.	Une première étude propose de retrouver des mesures expérimentales de dé cohésion intergranulaire sur le combustible en introduisant des modèles de zones cohésives dans le VER. Afin d'analyser le comportement micromécanique de l’UO2 en irradiation, un chargement de type rampe de puissance est appliqué au polycristal. L’analyse des distributions locales de contraintes donne lieu à une discussion sur l’effet de l’incompatibilité intergranulaire sur le transport des produits de fission.},
	urldate = {2014-01-08},
	school = {Aix Marseille 1},
	author = {Pacull, Julien},
	month = feb,
	year = {2011},
	keywords = {Polycristal Micromécanique Homogénéisation Décohésion intergranulaire Combustible nucléaire Produits de fission  en français, Polycrystal Micromechanics Homogenization Intergranular crack opening Nuclear fuel Fission gases},
	file = {Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/KJTNH5WV/2011AIX10021.html:text/html}
}

@article{yuan_cohesive_2013,
	title = {Cohesive zone models},
	volume = {109},
	issn = {0013-7944},
	url = {http://www.sciencedirect.com/science/article/pii/S0013794413002671},
	doi = {10.1016/j.engfracmech.2013.08.001},
	urldate = {2013-12-28},
	journal = {Engineering Fracture Mechanics},
	author = {Yuan, Huang and Besson, Jacques},
	month = sep,
	year = {2013},
	pages = {327},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/HPNUKHEV/Yuan et Besson - 2013 - Cohesive zone models.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/6IBJGD7K/S0013794413002671.html:text/html}
}

@techreport{helfer_generateur_2013-1,
	type = {Note technique},
	title = {Le générateur de code mfront : présentation générale et application aux propriétés matériau et aux modèles},
	number = {13-019},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Helfer, Thomas and Castelier, Étienne},
	month = jun,
	year = {2013},
	file = {Helfer et Castelier - 2013 - Le générateur de code mfront  présentation généra.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/XMD7TU57/Helfer et Castelier - 2013 - Le générateur de code mfront  présentation généra.pdf:application/pdf}
}

@article{lubliner_structure_1973,
	title = {on the structure of the rate equations of materials with internal variables},
	volume = {17},
	journal = {Acta Mechanica},
	author = {Lubliner, J.},
	year = {1973},
	pages = {p. 109--119}
}

@book{peckner_handbook_1977,
	title = {Handbook of {Stainless} {Steels}},
	isbn = {007049147X},
	language = {Anglais},
	publisher = {McGraw Hill},
	author = {Peckner, D. and Bernstein, I. M.},
	year = {1977},
	file = {0093_001.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/8MNSX3V8/0093_001.pdf:application/pdf}
}

@article{costanzo_continuum_1995,
	title = {A continuum thermodynamic analysis of cohesive zone models},
	volume = {33},
	number = {15},
	journal = {Int. J. Engng. Sci.},
	author = {Costanzo, F. and Allen, D. H.},
	year = {1995},
	pages = {2197--2219}
}

@article{critescu_fluage_1985,
	title = {Fluage, dilatance ou compressibilité des roches autour des puits verticaux et de forages pétroliers},
	volume = {31},
	journal = {Revue Fran{\textbackslash}ccaise de Géotechnique},
	author = {Critescu, N.},
	year = {1985},
	pages = {11--22}
}

@techreport{helfer_presentation_2013,
	address = {Cadarache et Saclay par visioconférence},
	type = {Compte-rendu de réunion},
	title = {Présentation {MFront}, un outil de génération de code dédié aux connaissances matériaux, et en particulier aux lois de comportement mécanique},
	number = {13-037},
	institution = {DEC/SEC/LSC},
	author = {Helfer, Thomas},
	month = oct,
	year = {2013},
	file = {CRR13 037 MFRONT.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/ATF5RG69/CRR13 037 MFRONT.pdf:application/pdf}
}

@article{fremond_adherence_1987,
	title = {Adhérence des solides},
	volume = {6},
	number = {n 3},
	journal = {Journal de Mécanique Théorique et Appliquée},
	author = {Frémond, M.},
	year = {1987},
	pages = {383--407}
}

@techreport{helfer_introduction_2009,
	type = {Note technique},
	title = {Introduction des caractéristiques physiques des alliages de vanadium dans le code celaeno - implantation et hypothèses physiques},
	number = {09-019},
	institution = {DEC/SESC/LSC},
	author = {Helfer, Thomas},
	year = {2009}
}

@techreport{afnor_nf_2009,
	type = {Norme européenne},
	title = {{NF} {EN} 10088-5. {Aciers} inoxydables - {Partie} 5 : conditions techniques des livraison pour les barres, fils tréfilés, profils et produits transformés à froid en acier résistant à la corrosion pour usage de construction},
	shorttitle = {{NF} {EN} 10088-5},
	abstract = {Le domaine d'application de la présente partie de l'EN 10088 vise à spécifier les conditions techniques de livraison des barres laminées à chaud ou à froid, du fil machine, des profils et des produits laminés à froid produits dans des nuances standardisées et dans des nuances spéciales d'aciers inoxydables résistant à la corrosion pour usage de construction, en plus des conditions générales techniques de livraison spécifiées dans l'EN 10021. La présente Norme européenne ne s'applique pas aux composants fabriqués par transformation ultérieure des produits énumérés en 1.1, avec les modifications des caractéristiques de qualité qui en résultent.},
	language = {français},
	number = {A 35-572-5},
	institution = {AFNOR},
	author = {AFNOR},
	month = jul,
	year = {2009}
}

@article{besson_object-oriented_1998-1,
	title = {Object-oriented programming applied to the finite element method {Part} {II}. {Application} to {Material} {Behaviors}},
	volume = {7},
	number = {5},
	journal = {Revue Européenne des Éléments},
	author = {Besson, Jacques and Le Riche, Rodolphe and Foerch, Ronald and Cailletaud, Georges},
	year = {1998},
	pages = {567--588}
}

@article{miehe_computational_1999,
	title = {Computational homogenization analysis in finite plasticity {Simulation} of texture development in polycrystalline materials},
	volume = {171},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/S0045782598002187},
	doi = {10.1016/S0045-7825(98)00218-7},
	abstract = {The paper presents a framework for the treatment of a homogenized macro-continuum with locally attached micro-structure, which undergoes non-isothermal inelastic deformations at large strains. The proposed concept is applied to the simulation of texture evolution in polycrystalline metals, where the micro-structure consists of a representative assembly of single crystal grains. The deformation of this micro-structure is coupled with the local deformation at a typical material point of the macro-continuum by three alternative constraints of the microscopic fluctuation field. In a deformation driven process, extensive macroscopic variables, like stresses and dissipation are defined as volume averages of their microscopic counterparts in an accompanying local equilibrium state of the micro-structure. The proposed numerical implementation is based in the general setting on a finite element discretization of the macro-continuum which is locally coupled at each Gauss point with a finite element discretization of the attached micro-structure. In the first part of the paper we set up the two coupled boundary value problems associated with the macro-continuum and the pointwise attached micro-structure and consider aspects of their finite element solutions. The second part presents details of a robust algorithmic model of finite plasticity for single crystals which governs the response of the grains in a typical micro-structure. The paper concludes with some representative numerical examples by demonstrating the performance of the proposed concept with regard to the prediction of texture evolution in polycrystals.},
	number = {3–4},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Miehe, Christian and Schröder, Jörg and Schotte, Jan},
	month = apr,
	year = {1999},
	pages = {387--418}
}

@article{palmer_growth_1973,
	title = {the growth of slip surfaces in the progressive failure of over-consolidated clay},
	volume = {A. 322},
	journal = {Proc. Roy. Soc. Lond.},
	author = {Palmer, A. C. and Rice, J. R.},
	year = {1973},
	pages = {527--548}
}

@techreport{helfer_implantation_2005,
	title = {Implantation de lois de comportement viscoplastique de l'{UO}2 et du modèle de fissuration {Mefisto} couplé à la viscoplasticité dans {Cast}3M via l'interface {UMAT}},
	number = {05-008 PLE 05-008},
	institution = {DEC/SESC/LLCC},
	author = {Helfer, Thomas},
	month = mar,
	year = {2005}
}

@book{tikhonov_methodes_1976,
	address = {Moscou},
	title = {méthodes de résolutions de problèmes mal posés},
	publisher = {Mir},
	author = {Tikhonov, A. and Arsénine, V.},
	year = {1976}
}

@book{brezinski_methodes_2006,
	address = {Paris},
	title = {Méthodes numériques itératives: algèbre linéaire et non linéaire : niveau {M}1},
	isbn = {9782729828875 2729828877},
	shorttitle = {Méthodes numériques itératives},
	language = {French},
	publisher = {Ellipses Édition},
	author = {Brezinski, Claude and Redivo, Zaglia-Michela},
	year = {2006}
}

@inproceedings{marelle_thermo-mechanical_2011,
	address = {Chengdu, China},
	title = {Thermo-mechanical modeling of {PWR} fuel with {ALCYONE}},
	booktitle = {Water {Reactor} {Fuel} {Performance} {Meeting}},
	author = {Marelle, Vincent and Sercombe, Jérôme and Michel, Bruno and Tawizgant, R.},
	month = sep,
	year = {2011}
}

@incollection{benallal_mathematical_1989,
	title = {some mathematical aspects of the damage softening problem},
	booktitle = {Cracking and damage},
	publisher = {Elsevier Applied Science Amsterdam},
	author = {Benallal, A. and Billardon, R. and Geymonat, G.},
	editor = {J, J. Mazart and Bazant, Z.},
	year = {1989},
	pages = {335--345}
}

@book{michel_couplage_2005,
	title = {Couplage fissuration-fluage par une approche à deux déformations},
	author = {Michel, B.},
	month = sep,
	year = {2005},
	note = {Published: Mémo. interne}
}

@article{dahlblom_smeared_1990,
	title = {smeared crack analysis using generalized fictious crack model},
	volume = {116},
	number = {1},
	journal = {Journal of Engineering Mechanics},
	author = {Dahlblom, O. and Ottosen, N. S.},
	month = jan,
	year = {1990},
	pages = {55--76}
}

@phdthesis{han_modelisation_2012,
	address = {Paris, France},
	title = {Modélisation de la fragilisation due au gonflement dans les aciers inoxydables austénitiques irradiés},
	abstract = {: Au cours d'une irradiation neutronique à long-terme dans les Réacteurs à Eau Pressurisée (REPs), une modification importante du comportement mécanique des matériaux utilisés dans les internes de cuve (composés des aciers inoxydables austénitiques de la série 300) est observée, y compris un durcissement et un adoucissement induit par irradiation, une perte de la ductilité et de la ténacité. Jusqu'à présent, beaucoup efforts ont été contribués pour identifier les effets d'irradiation sur l'évolution microstructurale du matériau (dislocations, boucles de Frank, cavités, ségrégation, etc.). Le gonflement induit par irradiation, considéré comme un facteur limitant la durée de fonctionnement des réacteurs, pourrait modifier les propriétés mécaniques des matériaux (plasticité, ténacité, etc), même conduire à une distorsion des structures du fait des modifications dimensionnelles entre les différentes composantes.L'objectif principal de ce travail de thèse est d'étudier qualitativement l'influence de l'effet du gonflement sur le comportement mécanique des matériaux irradiés. Un modèle micromécanique constitutif en grandes déformations basé sur les évolutions de la densité de dislocations et de défauts d'irradiation (boucles de Frank) est développé et implémenté dans les codes de calcul éléments finis ZéBuLoN et Cast3M. Les simulations numériques sont réalisées pour calculer les propriétés mécaniques d'un agrégat polycristallin. Par ailleurs, la technique d'homogénéisation est appliquée pour développer un modèle de type Gurson. Les simulations d'une cellule poreuse sont utilisés pour étudier le comportement mécanique des monocristaux poreux, en tenant compte des différents effets de la triaxialité, de la porosité et de l'orientation cristallographique, afin d'étudier l'effet de la présence des cavités sur la plasticité et la rugosité du matériau irradié à l'échelle polycristallin.},
	school = {Ecole Doctorale Sciences des Métiers de l'Ingénieur},
	author = {Han, Xu},
	year = {2012},
	file = {Han - 2012 - Modélisation de la fragilisation due au gonflement.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/SWVMPRQZ/Han - 2012 - Modélisation de la fragilisation due au gonflement.pdf:application/pdf}
}

@article{foerch_polymorphic_1997,
	title = {Polymorphic constitutive equations in finite element codes},
	volume = {141},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/S0045782596011115},
	doi = {10.1016/S0045-7825(96)01111-5},
	abstract = {This work presents an object-oriented design approach to the programming of finite element constitutive equations. A universal interface for arbitrary material laws is introduced from which easy addition and expansion of the material library can take place. Although such expansion using a generic interface is by definition polymorphic, the idiom is carried much further in several aspects of program design. Deriving from abstract examples of equation and algorithmic encapsulation, simple elastic damage and complex inelastic constitutive laws are developed. Examples of calculations show that adequate performance is given by C++ with respect to Fortran77 for simple to very complex material laws. The performance is seen to be a much stronger function of the compiler used than the actual numerical complexity.},
	number = {3–4},
	urldate = {2013-12-29},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Foerch, R. and Besson, J. and Cailletaud, G. and Pilvin, P.},
	month = feb,
	year = {1997},
	pages = {355--372},
	file = {Foerch et al. - 1997 - Polymorphic constitutive equations in finite eleme.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/3PUXIMJM/Foerch et al. - 1997 - Polymorphic constitutive equations in finite eleme.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/CRHEW5EW/S0045782596011115.html:text/html}
}

@techreport{argaud_documentation_2014,
	address = {CLAMART},
	title = {Documentation d'utilisation, dans la plateforme {SALOME} 7.3, du module {ADAO} "{Assimilation} de {Données} et {Aide} à l'{Optimisation}"},
	abstract = {Ce document contient la documentation d'utilisation du module ADAO "Assimilation de Données et
Aide à l'Optimisation" dans la plateforme SALOME 7.3 (http://www.salome-platform.org/). Ce module
ADAO fournit des fonctionnalités d'assimilation de données et d'optimisation, qui forment un cadre
méthodologique pour calculer l'estimation optimale de l'état d'un système au cours du temps, et plus
généralement pour faciliter l'intégration de démarches d'optimisation dans des études SALOME.
Certaines des méthodes incluses dans ce cadre sont également connues sous les noms d'estimation
des paramètres, de recalage, de calibration, de problèmes inverses, d'estimation bayésienne,
d'interpolation optimale, de reconstruction de champs, etc.
Cette documentation débute par une brève introduction à l'assimilation de données et à l'optimisation,
présente la démarche structurée d'utilisation du module ADAO, détaille les commandes et les mots-
clés de référence, propose des exemples commentés et indique des usages avancés d'ADAO. Enfin,
la licence, les conditions d'utilisation, une bibliographie et un index complètent ce document.
La version en anglais de cette documentation d'utilisation, dont le contenu est identique, est disponible
dans la note technique EDF/R\&D H-I23-2014-00167-EN.},
	language = {français},
	number = {H-I23-2014-00166-FR},
	institution = {EDF R\&D Simulation en Neutronique, Technologies de l'Information et Calcul Scientifique, Analyse et Modèles Numériques},
	author = {Argaud, Jean-Philippe},
	year = {2014},
	file = {Argaud - 2014 - Documentation d'utilisation, dans la plateforme SA.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/9E3NKNPR/Argaud - 2014 - Documentation d'utilisation, dans la plateforme SA.pdf:application/pdf}
}

@article{bessiron_modelling_2007,
	title = {Modelling of {Clad}-to-{Coolant} {Heat} {Transfer} for {RIA} {Applications}},
	volume = {44},
	number = {2},
	journal = {Journal of NUCLEAR SCIENCE and TECHNOLOGY},
	author = {Bessiron, Vincent},
	year = {2007},
	pages = {211--221},
	file = {Bessiron - 2007 - Modelling of Clad-to-Coolant Heat Transfer for RIA.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/C8EXJK6Q/Bessiron - 2007 - Modelling of Clad-to-Coolant Heat Transfer for RIA.pdf:application/pdf}
}

@article{buliga_variational_2013,
	title = {A variational formulation for constitutive laws described by bipotentials},
	volume = {18},
	issn = {1081-2865, 1741-3028},
	url = {http://mms.sagepub.com/content/18/1/78},
	doi = {10.1177/1081286511436136},
	abstract = {We propose a rigorous variational formulation and an algorithm for solving the discretisation in time of the evolution problem for an implicit standard material, in terms of bipotentials.},
	language = {en},
	number = {1},
	urldate = {2014-12-15},
	journal = {Mathematics and Mechanics of Solids},
	author = {Buliga, Marius and Saxcé, Géry de and Vallée, Claude},
	month = jan,
	year = {2013},
	keywords = {bipotentials theory, non-associated constitutive laws, Variational principles},
	pages = {78--90},
	file = {Buliga et al. - 2013 - A variational formulation for constitutive laws de.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/5WHUZN2P/Buliga et al. - 2013 - A variational formulation for constitutive laws de.pdf:application/pdf;Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/8NJZ7DHF/78.html:text/html}
}

@incollection{besson_numerical_2004,
	title = {Numerical implementation of constitutive models},
	booktitle = {Local approach to fracture},
	publisher = {École des Mines de Paris - les presses},
	author = {Besson, J. and Desmorat, D.},
	editor = {Besson, J.},
	year = {2004}
}

@article{bornert_homogeneisation_2001,
	title = {Homogénéisation en mécanique des matériaux 1: matériaux aléatoires élastiques et milieux périodiques ({Traité} {MIM}, série alliages métalliques, {Alliages} {Métalliques})},
	journal = {Hermes Science, Paris},
	author = {Bornert, Michel and Bretheau, Thierry and Gilormini, Pierre},
	year = {2001}
}

@misc{le_flem_reunion_2009,
	title = {Réunion téléphonique {LSC}/{LA}2M},
	author = {Le Flem, M. and Béchade, J.-L. and Chauvin, N. and Escleine, J.M. and Helfer, T.},
	year = {2009}
}

@techreport{edf_lois_2011,
	type = {Documentation du {Code}-{Aster}},
	title = {Lois de comportement cristallines en grandes déformations},
	url = {http://www.code-aster.org},
	author = {EDF},
	month = apr,
	year = {2011},
	file = {Proix - 2011 - Lois de comportement cristallines en grandes défor.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/CKT8KRKJ/Proix - 2011 - Lois de comportement cristallines en grandes défor.pdf:application/pdf}
}

@techreport{edf_loi_2011,
	type = {Documentation du {Code}-{Aster}},
	title = {Loi d’endommagement régularisée {ENDO}\_SCALAIRE},
	abstract = {Ce document décrit le modèle de comportement élastique fragile ENDO\_SCALAIRE disponible seulement pour
la modélisation non locale à gradient d'endommagement GRAD\_VARI. L’endommagement est modélisé de
manière scalaire ; les chargements en compression et en traction ne sont pas distingués. A la différence des
autres lois d'endommagement introduites précédemment, cette dernière se comporte d'une manière régulière
(pas de snap-back, allongement fini à la rupture) au moins dans les cas unidimensionnels.},
	number = {R5.03.25},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	month = feb,
	year = {2011},
	file = {EDF - 2011 - Loi d’endommagement régularisée ENDO_SCALAIRE.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/3VXTBVGD/EDF - 2011 - Loi d’endommagement régularisée ENDO_SCALAIRE.pdf:application/pdf}
}

@misc{cea_mfront_2016,
	title = {{MFront} {Web} {Site}},
	url = {http://www.tfel.sourceforge.net/},
	author = {CEA and EDF},
	year = {2016}
}

@article{michel_3d_2008,
	title = {3D fuel cracking modelling in pellet cladding mechanical interaction},
	volume = {75},
	issn = {0013-7944},
	url = {http://www.sciencedirect.com/science/article/pii/S0013794406004759},
	doi = {10.1016/j.engfracmech.2006.12.014},
	abstract = {This study is concerned with the modelling of fuel behaviour and of pellet–cladding interaction (PCI). A new fuel software (PLEIADES) is currently co-developed by the Atomic Energy Commission (CEA) and Electricité de France (EDF). This software includes a multi-dimensional FE program (ALCYONE) devoted to Pressure Water Reactors (PWR) fuel rods. PCI studies are mainly undertaken with the 3D model of ALCYONE. The objectives of this work are twofold: first, to propose a constitutive model for the fuel pellet which accounts for the stress relaxation of the material resulting from cracking and creep, second, to estimate the impact of the pellet cracking on PCI.

In this paper, a mathematical formulation which couples a viscoplastic law for creep with a multi-surface plastic softening law for cracking is detailed, leading a two inelastic strains model. Mesh dependency is overcome thanks to a material parameter related to the finite element size. The 3D calculations of PCI presented in this paper show that the considered modelling of fuel cracking is consistent with the experimental knowledge available on crack development under irradiation. A parametric study is then presented which leads to the conclusion that the tangential stresses at the pellet cladding interface and hence the risk of PCI failure are significantly reduced when the fuel tensile strength is divided by two.},
	number = {11},
	urldate = {2014-01-08},
	journal = {Engineering Fracture Mechanics},
	author = {Michel, Bruno and Sercombe, Jérôme and Thouvenin, Gilles and Chatelet, Rémy},
	month = jul,
	year = {2008},
	keywords = {Failure behaviour, Pellet–cladding interaction (PCI), PWR},
	pages = {3581--3598},
	file = {Michel et al. - 2008 - 3D fuel cracking modelling in pellet cladding mech.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/9QMXTXP3/Michel et al. - 2008 - 3D fuel cracking modelling in pellet cladding mech.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/9KBU7D4C/Michel et al. - 2008 - 3D fuel cracking modelling in pellet cladding mech.html:text/html}
}

@book{demengel_introduction_1999,
	title = {introduction aux équations aux dérivées partielles elliptiques : fonctions à dérivées mesures et applications},
	publisher = {Diderot Multimedia-EDL},
	author = {Demengel, F.},
	year = {1999}
}

@inproceedings{millard_numerical_1995,
	address = {Barcelone},
	title = {Numerical algorithms for plane-stress elastoplasticity : review and recommendation},
	author = {Millard, Alain},
	month = apr,
	year = {1995},
	pages = {237--247},
	file = {Millard - 1995 - Numerical algorithms for plane-stress elastoplasti.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/RK2TCR3W/Millard - 1995 - Numerical algorithms for plane-stress elastoplasti.pdf:application/pdf}
}

@book{wikipedia_epoch_2010,
	title = {Epoch},
	url = {http://fr.wikipedia.org/wiki/Epochhttp://fr.wikipedia.org/wiki/Epoch},
	author = {Wikipédia},
	year = {2010}
}

@techreport{edf_methodes_2001,
	type = {Référence du {Code} {Aster}},
	title = {Méthodes de pilotage du chargement},
	url = {http://www.code-aster.org},
	number = {R5.03.80-A},
	institution = {EDF/MTI/MMN},
	author = {EDF},
	year = {2001},
	file = {Lorentz - 2001 - Méthodes de pilotage du chargement.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/XVEM6E9U/Lorentz - 2001 - Méthodes de pilotage du chargement.pdf:application/pdf}
}

@techreport{edf_integration_2012-1,
	type = {Référence du {Code} {Aster}},
	title = {Intégration des relations de comportement élasto-plastique de {Von} {Mises}},
	url = {http://www.code-aster.org},
	number = {R5.03.92 révision : 8597},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	month = mar,
	year = {2012}
}

@techreport{moal_scanair_2011,
	type = {Reference manual},
	title = {{SCANAIR} reference documentation {Version} {V}\_7\_2},
	number = {DPAM-SEMCA-2011-286},
	institution = {INRSN},
	author = {Moal, A.},
	year = {2011},
	file = {Moal - 2011 - SCANAIR reference documentation Version V_7_2.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/FGRDFTI8/Moal - 2011 - SCANAIR reference documentation Version V_7_2.pdf:application/pdf}
}

@techreport{vincent_implantation_????,
	title = {Implantation numérique d'une loi de comportement cristalline pour matériau {CC} dans le code de calcul par éléments finis {Cast}3M},
	number = {NT 2009-3023/B},
	institution = {DEN/DANS/DMN/SRMA/LC2M},
	author = {Vincent, Ludovic},
	file = {implementation_cast3m_lvincent.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/RIVQHNRV/implementation_cast3m_lvincent.pdf:application/pdf}
}

@article{gaston_moose:_2009,
	title = {{MOOSE}: {A} parallel computational framework for coupled systems of nonlinear equations},
	volume = {239},
	issn = {0029-5493},
	shorttitle = {{MOOSE}},
	url = {http://www.sciencedirect.com/science/article/pii/S0029549309002635},
	doi = {10.1016/j.nucengdes.2009.05.021},
	abstract = {Systems of coupled, nonlinear partial differential equations (PDEs) often arise in simulation of nuclear processes. MOOSE: Multiphysics Object Oriented Simulation Environment, a parallel computational framework targeted at the solution of such systems, is presented. As opposed to traditional data-flow oriented computational frameworks, MOOSE is instead founded on the mathematical principle of Jacobian-free Newton–Krylov (JFNK). Utilizing the mathematical structure present in JFNK, physics expressions are modularized into “Kernels,” allowing for rapid production of new simulation tools. In addition, systems are solved implicitly and fully coupled, employing physics-based preconditioning, which provides great flexibility even with large variance in time scales. A summary of the mathematics, an overview of the structure of MOOSE, and several representative solutions from applications built on the framework are presented.},
	number = {10},
	urldate = {2014-09-02},
	journal = {Nuclear Engineering and Design},
	author = {Gaston, Derek and Newman, Chris and Hansen, Glen and Lebrun-Grandié, Damien},
	month = oct,
	year = {2009},
	pages = {1768--1778},
	file = {Gaston et al. - 2009 - MOOSE A parallel computational framework for coup.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/2U2SZEXF/Gaston et al. - 2009 - MOOSE A parallel computational framework for coup.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/BVX2PV7R/S0029549309002635.html:text/html}
}

@article{linder_micromechanically_2011,
	title = {A micromechanically motivated diffusion-based transient network model and its incorporation into finite rubber viscoelasticity},
	volume = {59},
	issn = {0022-5096},
	url = {http://www.sciencedirect.com/science/article/pii/S0022509611001086},
	doi = {10.1016/j.jmps.2011.05.005},
	abstract = {This paper presents the development of a physical-based constitutive model for the representation of viscous effects in rubber-like materials. The proposed model originates from micromechanically motivated diffusion processes of the highly mobile polymer chains described within the formalism of Brownian motion. Following the basic assumption of accounting for the elastic and the viscous effects in rubber viscoelasticity by their representation through a separate elastic ground network and several viscous subnetworks, respectively, the kinetic theory of rubber elasticity is followed and extended to represent also the viscous contribution in this work. It is assumed that the stretch probability of certain chain segments within an individual viscous subnetwork evolves based on the movement of the chain endpoints described by the Smoluchowski equation extended in this work from non-interacting point particles in a viscous surrounding to flexible polymer chains. An equivalent tensorial representation for this evolution is chosen which allows for the closed form solution of the macroscopic free energy and the macroscopic viscous overstress based on a homogenization over the probability space of the introduced micro-objects. The resulting model of the viscous subnetwork is subsequently combined with the non-affine micro-sphere model and applied in homogeneous and non-homogeneous tests. Finally, the model capacity is outlined based on a comparison with in the literature available experimental data sets.},
	number = {10},
	journal = {Journal of the Mechanics and Physics of Solids},
	author = {Linder, Christian and Tkachuk, Mykola and Miehe, Christian},
	month = oct,
	year = {2011},
	keywords = {Brownian motion, Micromechanics, Non-equilibrium thermodynamics, Rubber viscoelasticity, Transient network theories},
	pages = {2134--2156}
}

@book{zienkiewicz_finite_1977,
	title = {The finite element method},
	isbn = {9780070840720},
	publisher = {McGraw-Hill},
	author = {Zienkiewicz, O.C.},
	year = {1977}
}

@techreport{code_relations_????,
	type = {Référence du {Code} {Aster}},
	title = {Relations de comportement élasto-visco-plastique de {Chaboche}},
	url = {http://www.code-aster.org},
	number = {R5.03.04-B},
	institution = {EDF-R\&D/AMA},
	author = {Code, Aster}
}

@techreport{agard_meteor_2001,
	title = {Meteor version 1.9 : notice d'utilisation},
	number = {01-021},
	institution = {DEC/SESC/LSC},
	author = {Agard, M.},
	month = nov,
	year = {2001}
}

@techreport{lainet_note_2006,
	title = {Note de présentation du code {\textbackslash}atlas v2.1},
	number = {6-020},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Lainet, M.},
	year = {2006}
}

@book{_jenkins_2011,
	title = {Jenkins, an extendable open source continuous integration server},
	url = {http://jenkins-ci.org/http://jenkins-ci.org/},
	year = {2011}
}

@techreport{aperam_aisi_2014,
	title = {{AISI} 347/347H {Niobium} {Stabilized} {Austenitic} {Stainless}},
	url = {http://www.aperam.com/brazil/ing/arquivos/AISI347347Heng.pdf},
	abstract = {Grade 347 from Aperam South America is a stainless steel elaborated to meet the international standards
AISI 347 and AISI 347H. Due to the stabilization with niobium, this grade has the corrosion resistance at high
temperatures as its main characteristic. When submitted to temperatures ranging from 450-900 oC, some
grades tend to form chromium carbide precipitate in the grain boundary region, and the material becomes
susceptible to intergranular corrosion. The stabilization with niobium inhibits the formation of chromium
carbide, and consequently increases the resistance to this type of corrosion.
Grade AISI 347 has excellent weldability, a characteristic common to austenitic steels, as well as high mechanical
properties, which guarantees good ductability, and it s recommended for some cold forming processes.
The application of grade AISI 347 is mainly intended for corrosive environments and high temperatures. It
is currently being used in the manufacture of collector rings for aircrafts, engine components for rockets,
exhaust manifold for cars, expansion joints and equipment for chemical processing at high temperatures.},
	language = {Anglais},
	institution = {Aperam South America},
	author = {Aperam},
	year = {2014}
}

@techreport{blanc_notice_2011,
	title = {Notice d'utilisation de l'application {VER} v1.1},
	number = {DEC/SESC/LSC 11-021},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Blanc, V},
	year = {2011}
}

@phdthesis{roussette_analyse_2005,
	title = {Analyse par champs de transformation de matériaux élastoviscoplastiques multiphases : application aux combustibles {MOX}},
	shorttitle = {Analyse par champs de transformation de matériaux élastoviscoplastiques multiphases},
	url = {http://www.theses.fr/09637327X},
	abstract = {La description du comportement global de matériaux constitués de phases non linéaires dissipatives nécessite une infinité de variables internes. Un modèle approché avec un nombre fini de variables internes, l'analyse par champs de transformation nonuniformes, est obtenu en considérant une décomposition de ces variables sur un nombre fini de champs de transformation nonuniformes, les modes plastiques. La méthode est développée pour des matériaux élastoviscoplastiques incompressibles. La transformée de Karhunen-Loève est proposée pour optimiser le choix des modes plastiques. Puis la méthode est étendue aux matériaux élastoviscoplastiques poreux. Enfin, la TFA développée par Dvorak est appliquée aux combustibles nucléaires MOX. Cette méthode permet de faire des études de sensibilité pour déterminer le rôle de paramètres microstructuraux sur le comportement du combustible. De plus l'adéquation de la NTFA avec les MOX est démontrée, le but étant d'appliquer le modèle aux MOX en 3D},
	urldate = {2015-04-20},
	school = {Aix Marseille 2},
	author = {Roussette, Sophie},
	year = {2005}
}

@article{helfer_extension_2015,
	title = {Extension of monodimensional fuel performance codes to finite strain analysis using a {Lagrangian} logarithmic strain framework},
	volume = {288},
	issn = {0029-5493},
	url = {http://www.sciencedirect.com/science/article/pii/S0029549315000928},
	doi = {10.1016/j.nucengdes.2015.02.010},
	abstract = {This paper shows how the Lagrangian logarithmic strain framework proposed by Miehe et al. can be used to extend monodimensional fuel performance codes, written in the framework of the infinitesimal strain theory, to be able to cope with large deformation of the cladding, such as the ones observed in reactivity initiated accidents (RIA) or loss-of-coolant accidents (LOCA).

We demonstrate that the changes only concern the mechanical behaviour integration step by a straightforward modification of the strains (inputs) and the stress (result).

The proposed procedure has been implemented in the open-source MFront code generator developed within the PLEIADES platform to handle mechanical behaviours. Using the Alcyone performance code, we apply this procedure to a simulation case proposed within the framework of a recent benchmark on fuel performance codes by the OECD/NEA.},
	urldate = {2015-04-23},
	journal = {Nuclear Engineering and Design},
	author = {Helfer, Thomas},
	month = jul,
	year = {2015},
	pages = {75--81},
	file = {Helfer - 2015 - Extension of monodimensional fuel performance code.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/SC4CMG9R/Helfer - 2015 - Extension of monodimensional fuel performance code.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/6IJRP938/S0029549315000928.html:text/html}
}

@article{anand_computational_1996,
	title = {A computational procedure for rate-independent crystal plasticity},
	volume = {44},
	issn = {0022-5096},
	url = {http://www.sciencedirect.com/science/article/pii/0022509696000014},
	doi = {10.1016/0022-5096(96)00001-4},
	abstract = {In the rate-independent theory of crystal elasto-plasticity there have been three long-standing problems. The first is to determine which slip systems are active, and the second is to determine the increments of shear on the active slip systems. Third, because of the typical multiplicity of slip systems in ductile crystals, the selection of slip systems required to produce an arbitrary deformation increment is not necessarily unique. The purpose of this paper is to present a robust calculation scheme which determines a unique set of active slip systems and the corresponding shear increments in a rate-independent theory. We show by comparing the predictions from our computational procedure for the rate-independent theory against corresponding predictions from a procedure for a similar but rate-dependent theory (with a low value of the rate sensitivity parameter) that the results from the two procedures are essentially indistinguishable.},
	number = {4},
	urldate = {2014-01-06},
	journal = {Journal of the Mechanics and Physics of Solids},
	author = {Anand, L. and Kothari, M.},
	month = apr,
	year = {1996},
	pages = {525--558},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/4DVUU2BN/Anand et Kothari - 1996 - A computational procedure for rate-independent cry.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/Z7Z92MVQ/0022509696000014.html:text/html}
}

@inproceedings{brochard_non_1997,
	address = {France},
	title = {Non linear finite element studies of the pellet cladding mechanical interaction in a {PWR} {Fuel}},
	booktitle = {{SMIRT} 14},
	author = {Brochard, J. and Bentejac, F. and Hourdequin, N.},
	year = {1997}
}

@inproceedings{rupin_simulation_2011,
	title = {Simulation de la réponse mécanique d’un acier inoxydable austénitique à l’aide de calculs cristallins},
	language = {français},
	booktitle = {Actes du congrès {CSMA}},
	author = {Rupin, Nicolas and Proix, Jean-Michel and Latourte, Félix and Monnet, G.},
	year = {2011}
}

@book{besson_mecanique_2001,
	address = {Paris},
	title = {Mécanique non linéaire des matériaux},
	isbn = {2746202689 9782746202689},
	language = {French},
	publisher = {Hermès},
	author = {Besson, Jacques and Cailletaud, Georges and Chaboche, Jean-Louis},
	year = {2001}
}

@techreport{malo_gas_2007,
	title = {Gas cooled fast reactor, preliminary viability report},
	number = {NT DR5},
	institution = {DER/SESI/LCSI},
	author = {Malo, J. Y. and Anzieu, P. and Mitchell, C. and Coddington, P. and Alpy, N. and Bertrand, F. and Chauvin, N. and Dumaz, P. and Morin, F. and Poette, C. and Richard, P.},
	year = {2007}
}

@article{chaboche_integration_1996,
	title = {Integration methods for complex plastic constitutive equations},
	volume = {133},
	journal = {Computer method in applied mechanics and engineering},
	author = {Chaboche, J.L. and Cailletaud, G.},
	year = {1996},
	pages = {125--155},
	file = {Chaboche et Cailletaud - 1996 - Integration methods for complex plastic constituti.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/ZQ9NKXGK/Chaboche et Cailletaud - 1996 - Integration methods for complex plastic constituti.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/R9T9G8QS/0045782595009574.html:text/html}
}

@misc{stainier_introduction_2010,
	title = {Introduction to {MatLib}: {Founding} {Concepts}},
	author = {Stainier, Laurent},
	month = jun,
	year = {2010},
	file = {Stainier - 2010 - Introduction to MatLib Founding Concepts.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/QKPJRRWS/Stainier - 2010 - Introduction to MatLib Founding Concepts.pdf:application/pdf}
}

@inproceedings{bouineau_toward_2011,
	address = {New Delhi, India},
	title = {Toward an improved {GERMINAL} {V}2 code to model oxide fuel for {Sodium} {Fast} {Reactor}},
	booktitle = {Structural {Mechanics} in {Reactor} {Technology}},
	author = {Bouineau, Vincent and Lainet, Marc and Courcelle, Arnaud and Pelletier, Michel},
	month = nov,
	year = {2011}
}

@article{bellavia_affine_2003,
	title = {An affine scaling trust-region approach to bound-constrained nonlinear systems},
	volume = {44},
	issn = {0168-9274},
	url = {http://www.sciencedirect.com/science/article/pii/S0168927402001708},
	doi = {10.1016/S0168-9274(02)00170-8},
	abstract = {This paper presents an iterative method for solving bound-constrained systems of nonlinear equations. It combines ideas from the classical trust-region Newton method for unconstrained nonlinear equations and the recent interior affine scaling approach for constrained optimization problems. The method generates feasible iterates and handles the bounds implicitly. It reduces to a standard trust-region method for unconstrained problems when there are no upper or lower bounds on the variables. Global and local fast convergence properties are obtained. The numerical performance of the method is shown on a large number of test problems.},
	number = {3},
	urldate = {2014-12-19},
	journal = {Applied Numerical Mathematics},
	author = {Bellavia, Stefania and Macconi, Maria and Morini, Benedetta},
	month = feb,
	year = {2003},
	pages = {257--280},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/JJXQI4RT/Bellavia et al. - 2003 - An affine scaling trust-region approach to bound-c.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/KAVGJ6VM/S0168927402001708.html:text/html}
}

@article{monnet_orowan_2011,
	title = {Orowan strengthening at low temperatures in bcc materials studied by dislocation dynamics simulations},
	volume = {59},
	issn = {1359-6454},
	url = {http://www.sciencedirect.com/science/article/pii/S1359645410006166},
	doi = {10.1016/j.actamat.2010.09.039},
	abstract = {In this paper, the first investigation of the Orowan strengthening mechanism in the thermal plastic regime of body-centered cubic (bcc) materials is made with dislocation dynamics simulations. In bcc crystals, the mobility of dislocations strongly depends on temperature and dislocation line characters. Unlike the classical picture of the Orowan mechanism, simulations show that the difference in mobility between screw and non-screw characters is the key parameter. Simulations at different temperatures and with different precipitate microstructures illustrate the contribution of two mechanisms to Orowan strengthening: a thermally activated mechanism induced by the length dependency of the screw dislocation mobility and an athermal mechanism associated with dislocation line tension. The influence of the particle distribution is studied with a comparison between regular and random particle arrangements. In most cases, distribution effect can be accounted for by calculating effective particle spacing in the screw dislocation directions.},
	number = {2},
	urldate = {2014-05-07},
	journal = {Acta Materialia},
	author = {Monnet, G. and Naamane, S. and Devincre, B.},
	month = jan,
	year = {2011},
	keywords = {Bainitic steels, Carbides, Dislocation dynamics, Low temperature deformation, Thermally activated processes},
	pages = {451--461},
	file = {Monnet et al. - 2011 - Orowan strengthening at low temperatures in bcc ma.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/EEEFD3HG/Monnet et al. - 2011 - Orowan strengthening at low temperatures in bcc ma.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/FFMKH2MV/S1359645410006166.html:text/html}
}

@inproceedings{leary_progress_1977,
	title = {Progress in modeling carbide and nitride fuel performance in advanced {LMFBRs}},
	language = {en},
	booktitle = {Advanced {LMFBR} {Fuels}: {Topical} {Meeting} {Proceedings}, {Tucson}, {Arizona}, {October} 10-13, 1977},
	publisher = {American Nuclear Society},
	author = {Billone, MC.},
	editor = {Leary, Joseph and Kittle, Howard},
	year = {1977}
}

@article{berveiller_extension_1978,
	title = {An extension of the self-consistent scheme to plastically-flowing polycrystals},
	volume = {26},
	issn = {0022-5096},
	url = {http://www.sciencedirect.com/science/article/pii/0022509678900030},
	doi = {10.1016/0022-5096(78)90003-0},
	abstract = {The general formulation of the self-consistent scheme is specified for an isotropic elasto-plastic approximation of the “constraint” tensor. This leads to an explicit interaction law, modified from that of E. kröner (1961), which takes elasto-plastic accommodation into account via a simple scalar “accommodation function”. This model is applied to uniaxial tension tests for fee polycrystals. Both plastic flow and texture development are investigated. Internal stresses are shown to be significantly lowered with respect to the Kröner model predictions, due to the occurrence of plastic stress relaxation. As a result, the specific plastic properties of the material which are studied, as expressed by a single crystal “hardening matrix”, are found to have a significant influence on the final results.},
	number = {5–6},
	urldate = {2014-05-07},
	journal = {Journal of the Mechanics and Physics of Solids},
	author = {Berveiller, M. and Zaoui, A.},
	month = oct,
	year = {1978},
	pages = {325--344},
	file = {Berveiller et Zaoui - 1978 - An extension of the self-consistent scheme to plas.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/99WWUWA9/Berveiller et Zaoui - 1978 - An extension of the self-consistent scheme to plas.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/S5SZW75C/0022509678900030.html:text/html}
}

@unpublished{tvergaard_cohesive_2003,
	title = {Cohesive zone representations of failure between elastic or rigid solids and ductile solids},
	author = {Tvergaard, V.},
	year = {2003},
	note = {à paraître}
}

@techreport{helfer_connaissances_2013,
	type = {Note technique},
	title = {Connaissances matériaux disponibles dans l'application {Licos} version 1.1},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Helfer, Thomas},
	year = {2013},
	note = {À paraître}
}

@techreport{masson_enrichissement_2005,
	title = {Enrichissement tangentiel de la modélisation 1,5D du crayon combustible},
	number = {HT-25/05/062/A},
	institution = {EDF/MMC},
	author = {Masson, R. and Banos, C.},
	year = {2005}
}

@article{xiao_size-dependent_2015,
	title = {A size-dependent tensorial plasticity model for {FCC} single crystal with irradiation},
	volume = {65},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S0749641914001880},
	doi = {10.1016/j.ijplas.2014.09.004},
	abstract = {In this paper, effects of irradiation damage and crystal size on the mechanical behaviors of FCC single crystals are explored. By treating the spatial dependent interaction between dislocations and irradiation-induced stacking fault tetrahedrons (SFTs) as a tensorial form and taking into account the influence of dislocation source limitation at submicron (∼100 nm to ∼1 μm), a unified size-dependent tensorial plasticity model for irradiated single crystals is developed. The feasibility and accuracy of this model are well validated by comparing numerical results with corresponding experimental data. It is found that (1) the yield strength of unirradiated FCC copper increases with the decrease of crystal size, which mainly attributed to the mechanism shifting from dislocation forest strengthening to dislocation source limitation strengthening. (2) For large crystal copper, the yield strength increases with the amount of irradiation, which is attributed to the increase of irradiation-induced SFTs and enhancement of dislocation–defect interaction. The phenomenon of yield dropping is observed when the irradiation is strong. (3) The competition between the irradiation effect and size effect induces the existence of a critical crystal size. Below the critical size, the yield hardening is controlled by size effect. Otherwise, it is controlled by irradiation effect. Furthermore, the proposed model can easily predict this critical crystal size, which may provide a quick guideline to distinguish different hardening mechanisms regarding different crystal sizes.},
	urldate = {2015-04-13},
	journal = {International Journal of Plasticity},
	author = {Xiao, Xiazi and Song, Dingkun and Xue, Jianming and Chu, Haijian and Duan, Huiling},
	month = feb,
	year = {2015},
	keywords = {Constitutive behavior, Crystal plasticity, Dislocations, Irradiation effect},
	pages = {152--167},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/CDG6UXS8/S0749641914001880.html:text/html}
}

@techreport{struzik_test_2005-1,
	title = {test des lois de fluage d'irradiation des gaines recommandées par le {SRMA} dans les conditions des {REP}},
	number = {À paraître},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Struzik, C. and Agard, M.},
	year = {2005}
}

@misc{pakin_comprehensive_2008,
	title = {The {Comprehensive} {LaTeX} {Symbol} {List}},
	abstract = {This document lists 4947 symbols and the corresponding LaTeX commands that produce them. Some of these symbols are guaranteed to be available in every LaTeX 2e system; others require fonts and packages that may not accompany a given distribution and that therefore need to be installed. All of the fonts
and packages used to prepare this document—as well as this document itself—are freely available from the
Comprehensive TEX Archive Network (http://www.ctan.org/).},
	author = {Pakin, Scott},
	month = mar,
	year = {2008},
	file = {symbols-a4.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/FFWBCQNR/symbols-a4.pdf:application/pdf}
}

@techreport{pelletier_proprietes_2004,
	title = {Propriétés et modèles de comportement sous irradiation de gaines en alliage réfractaire {Nb}-1Zr-{C} (concept d'élément combustible à aiguille pour {GFR})},
	number = {04-031},
	institution = {SESC/LSC},
	author = {Pelletier, M.},
	year = {2004}
}

@article{moler_nineteen_1978,
	title = {Nineteen {Dubious} {Ways} to {Compute} the {Exponential} of a {Matrix}},
	volume = {20},
	journal = {SIAM Review},
	author = {Moler, Cleve and Loan, Charles Van},
	year = {1978},
	pages = {801--836},
	file = {19ways+.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/5MDQ2CS9/19ways+.pdf:application/pdf}
}

@book{le_flem_vanadium_2009,
	title = {Vanadium : compléments à la note {DMN}/{SRMA}/{LA}2M/2008-2967/{A}},
	author = {Le Flem, M. and Béchade, J.-L.},
	year = {2009}
}

@techreport{escleine_dossier_1985,
	type = {Note technique},
	title = {Dossier de caractérisation du matériau de gainage des éléments absorbant - 1ıere et 2ıeme charge {SPX}1},
	number = {DPFER/SDEEC/SDC 85-2077 DTECH/SRMA/SMPA 85-1449},
	institution = {CEA},
	author = {Escleine, J.M. and Lansiart, S.},
	year = {1985}
}

@techreport{frederici_reunion_2014,
	type = {Compte-rendu de réunion},
	title = {Réunion tripartite sur l'établissement d'une feuille de route sur la modélisation du comportement du crayon en {APRP} (lot 6 du projet {CRAYON})},
	language = {français},
	number = {CRR – DEC/CP -14-74},
	institution = {CEA DEN/DESC/CELLULE PROJETS},
	author = {Frédérici, Éric},
	month = sep,
	year = {2014},
	file = {Frédérici - 2014 - Réunion tripartite sur l'établissement d'une feuil.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/NTXSH4EZ/Frédérici - 2014 - Réunion tripartite sur l'établissement d'une feuil.pdf:application/pdf}
}

@techreport{zabiego_evaluation_2008,
	address = {décembre},
	title = {Évaluation d'une aiguille {SFR} carbure : état des lieux à fin 2008 et perspectives d'évolution},
	number = {08-019},
	institution = {CEA DEN/DEC/SESC/LC2I},
	author = {Zabiego, Maxime},
	year = {2008}
}

@book{barton_engineering_1994,
	title = {Engineering and {Scientific} {C}++: {An} {Introduction} with {Advanced} {Techniques} and {Examples} 1st (first) {Edition}},
	publisher = {Addison Wesley},
	author = {Barton, John J. and Nackman, Lee R.},
	year = {1994}
}

@article{di_marcello_transuranus_2014-1,
	title = {The {TRANSURANUS} mechanical model for large strain analysis},
	volume = {276},
	issn = {0029-5493},
	url = {http://www.sciencedirect.com/science/article/pii/S0029549314003008},
	doi = {10.1016/j.nucengdes.2014.04.041},
	abstract = {The TRANSURANUS fuel performance code was extended in order to take into account large creep strains for the simulation of clad ballooning occurring during loss-of-coolant accidents (LOCA). Additionally, the application range has been assessed. While the first order theory gives very good results for small strains below approximately 5\%, simulating large strains implies numerical instabilities evidenced by the violation of the volume balances. To this purpose, an extension of the algorithm used in TRANSURANUS was proposed and verified adopting different solution methods: an analytic solution and finite element calculations by means of COMSOL. In particular, creep calculations were carried out applying a Norton law that defines cladding creep strains under varying stress conditions. The verification against the numerical solution given by COMSOL and the analytic solution shows an excellent agreement of the radial profiles of stresses and strains.

The new code was applied to the simulation of cladding ballooning tests, and to an integral LOCA test of the FUMEX-III project. The impact of the new algorithm on the predicted time-to-burst and clad strain was assessed pointing out the effect of different failure criteria.},
	urldate = {2014-09-10},
	journal = {Nuclear Engineering and Design},
	author = {Di Marcello, Valentino and Schubert, Arndt and van de Laar, Jacques and Van Uffelen, Paul},
	month = sep,
	year = {2014},
	pages = {19--29},
	file = {Di Marcello et al. - 2014 - The TRANSURANUS mechanical model for large strain .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/IN2RCZFZ/Di Marcello et al. - 2014 - The TRANSURANUS mechanical model for large strain .pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/EXFABK6V/S0029549314003008.html:text/html}
}

@article{de-andres_elastoplastic_1999,
	title = {elastoplastic finite element analysis of three dimensional fatique crack growth in aluminium shafts subjected to axial loading},
	volume = {36},
	journal = {International Journal of Solids and Structures},
	author = {de-Andrès, A. and Pérez, J. L. and Ortiz, M.},
	year = {1999},
	pages = {2231--2258}
}

@book{hagrman_matpro-version_1981,
	title = {{MATPRO}-{Version} 11 ({Revision} 2): {A} {Handbook} of {Materials} {Properties} for {Use} in the {Analysis} of {Light} {Water} {Reactor} {Fuel} {Rod} {Behavior}.},
	number = {Report Number:TREE-1280-REV-2},
	publisher = {Idaho National Engineering Lab., Idaho Falls.},
	author = {Hagrman, D. L. and Reymann, G. A. and Mason, R. E.},
	month = aug,
	year = {1981}
}

@article{ramiere_iterative_2015,
	title = {Iterative residual-based vector methods to accelerate fixed point iterations},
	journal = {Computers and Mathematics with Applications},
	author = {Ramière, Isabelle and Helfer, Thomas},
	year = {2015},
	note = {Under review}
}

@article{roussette_nonuniform_2009,
	series = {Mechanical {Response} of {Fibre} {Reinforced} {Composites}},
	title = {Nonuniform transformation field analysis of elastic–viscoplastic composites},
	volume = {69},
	issn = {0266-3538},
	url = {http://www.sciencedirect.com/science/article/pii/S0266353807004356},
	doi = {10.1016/j.compscitech.2007.10.032},
	abstract = {To exactly describe the macroscopic behaviour of composites with non linear dissipative constituents, it is necessary to take an infinitely large number of internal variables into account. Simplifying assumptions are usually adopted to reduce this number. A new method has been proposed [Michel JC, Suquet P. Nonuniform transformation field analysis. Int J Solids Struct 2003;40:6937–55], based on the transformation fields approach [Dvorak G. Transformation field analysis of inelastic composite materials. Proc Roy Soc Lond A 1992;437:311–27], but not taking transformation fields to be necessarily uniform. The interest of this new method has been shown in the case of composites with elastic–plastic constituents. Here we deal with composites having elastic–viscoplastic and porous elastic–viscoplastic constituents. In the latter case, the viscoplastic strain has a dilatational part.},
	number = {1},
	urldate = {2015-04-21},
	journal = {Composites Science and Technology},
	author = {Roussette, S. and Michel, J. C. and Suquet, P.},
	month = jan,
	year = {2009},
	keywords = {A. Modelling, A. Non linear behaviour, A. Plastic deformation, A. Porosity, B. Mechanical properties},
	pages = {22--27},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/6WKWJQ6T/Roussette et al. - 2009 - Nonuniform transformation field analysis of elasti.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/4FMG8BXB/S0266353807004356.html:text/html}
}

@techreport{garcia_description_1995,
	title = {Description et validation du module de comportement mécanique du logiciel {Germinal} 2},
	number = {95 2018},
	institution = {SDC/LEMC},
	author = {Garcia, P.},
	year = {1995},
	note = {Diffusion restreinte}
}

@techreport{bassi_programme_2011,
	title = {Programme d'études pour le développement et la qualification du concept de crayon à section elliptique},
	number = {DEC/SESC/LIPA 11 - 007},
	institution = {CEA DEN/DEC/SESC/LIPA},
	author = {Bassi, C. and Brunon, É},
	year = {2011}
}

@techreport{cappelaere_modefluage_2005,
	title = {modèle de fluage en pression interne des gaines en {Zircaloy}-4 détendu pour l'entreposage de longue durée des combustibles usés},
	number = {2005-11/A},
	institution = {DMN/SEMI/LCMI},
	author = {Cappelaere, C. and Limon, R.},
	year = {2005}
}

@article{helfer_extension_????,
	title = {Extension of monodimensional fuel performance codes to finite strain analysis using a lagrangian logarithmic strain framework},
	journal = {Nuclear Engineering and Design},
	author = {Helfer, Thomas}
}

@article{ida_cohesive_1972,
	title = {Cohesive force across the tip of a longitudinal-shear crack and griffith's specific surface energy},
	volume = {77},
	number = {20},
	journal = {Journal of Geophysical Research},
	author = {Ida, Y.},
	year = {1972},
	pages = {p 3796--9805}
}

@techreport{munoz_irradiation_2008,
	title = {Irradiation expérimentale {IRRDEMO} dans {BR}2 : dossier de présentation},
	number = {08-005},
	institution = {CEA DEN/DEC/SESC/LC2I},
	author = {Munoz, I.},
	year = {2008}
}

@article{gelin_application_1998,
	title = {Application de la poo pour la conception d'un logiciel de simulation par éléments finis en mise en forme des matériaux},
	volume = {7},
	number = {5},
	journal = {Revue européenne des éléments finis},
	author = {Gelin, J. C. and Pasquier, P. and Walterhum, Luc},
	year = {1998},
	pages = {505--533}
}

@techreport{blay_examen_2003,
	title = {Examen au {MEB} d'une fractographie d'un combustible {REP} {UO}2 {Alix} irradié 5 cycles dans {Gravelines} \$5\$},
	number = {03-052},
	institution = {DEN/DEC/S3C/LECMI},
	author = {Blay, T. and Roure, I. and Lamontagne, J.},
	month = mar,
	year = {2003}
}

@techreport{helfer_implantation_2006,
	title = {Implantation de lois d'écoulement viscoplastique du {Zircaloy} dans {\textbackslash}castem via l'interface {\textbackslash}tt umat},
	number = {non définie},
	institution = {DEC/SESC/LSC},
	author = {Helfer, Thomas},
	year = {2006}
}

@techreport{gatt_comportement_2004,
	title = {comportement thermomécanique du combustible sous irradiation},
	number = {04-005},
	institution = {DEC/SESC/LLCC},
	author = {Gatt, J. M.},
	year = {2004}
}

@book{curnier_mecanique_2005,
	address = {Lausanne [Suisse]},
	title = {Mécanique des solides déformables},
	isbn = {2880745446  9782880745448},
	language = {French},
	publisher = {Presses polytechniques et universitaires romandes},
	author = {Curnier, Alain},
	year = {2005}
}

@article{shterenlikht_levenbergmarquardt_2012,
	title = {Levenberg–{Marquardt} vs {Powell}’s dogleg method for {Gurson}–{Tvergaard}–{Needleman} plasticity model},
	volume = {237–240},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/S0045782512001454},
	doi = {10.1016/j.cma.2012.04.018},
	abstract = {The GTN continuous damage model is very popular in academia and industry for structural integrity assessment and ductile fracture simulation. Following Aravas’ influential 1987 paper, Newton’s method has been used widely to solve the GTN equations. However, if the starting point is far from the solution, then Newton’s method can fail to converge. Hybrid methods are preferred in such cases. In this work we translate the GTN equations into a non-linear minimization problem and then apply the Levenberg–Marquardt and Powell’s ‘dogleg’ hybrid methods to solve it. The methods are tested for accuracy and robustness on two simple single finite element models and two 3D models with complex deformation paths. In total nearly 137,000 different GTN problems were solved. We show that the Levenberg–Marquardt method is more robust than Powell’s method. Our results are verified against the Abaqus’ own solver. The superior accuracy of the Levenberg–Marquardt method allows for larger time increments in implicit time integration schemes.},
	urldate = {2014-06-02},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Shterenlikht, A. and Alexander, N. A.},
	month = sep,
	year = {2012},
	keywords = {GTN model, Levenberg–Marquardt method, Powell dogleg method, Slatec},
	pages = {1--9},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/XEXR64TC/S0045782512001454.html:text/html;Shterenlikht et Alexander - 2012 - Levenberg–Marquardt vs Powell’s dogleg method for .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/XHCFNWGQ/Shterenlikht et Alexander - 2012 - Levenberg–Marquardt vs Powell’s dogleg method for .pdf:application/pdf}
}

@techreport{helfer_mtest_2014,
	type = {Note technique},
	title = {{MTest} : un outil de test unitaire de lois comportement mécanique},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Helfer, Thomas and Proix, Jean-Michel},
	year = {2014}
}

@article{daher_method_1986,
	title = {the method of virtual power in continuum mechanics. {Application} to media presenting singular surfaces and interfaces},
	volume = {60},
	journal = {Acta Mechanica},
	author = {Daher, N. and Maugin, G. A.},
	year = {1986},
	pages = {217--240}
}

@article{helfer_introducing_2015,
	title = {Introducing the open-source mfront code generator: {Application} to mechanical behaviours and material knowledge management within the {PLEIADES} fuel element modelling platform},
	issn = {0898-1221},
	shorttitle = {Introducing the open-source mfront code generator},
	url = {http://www.sciencedirect.com/science/article/pii/S0898122115003132},
	doi = {10.1016/j.camwa.2015.06.027},
	abstract = {The PLEIADES software environment is devoted to the thermomechanical simulation of nuclear fuel elements behaviour under irradiation. This platform is co-developed in the framework of a research cooperative program between Électricité de France (EDF), AREVA and the French Atomic Energy Commission (CEA). As many thermomechanical solvers are used within the platform, one of the PLEAIADES’s main challenge is to propose a unified software environment for capitalisation of material knowledge coming from research and development programs on various nuclear systems.

This paper introduces a tool called mfront which is basically a code generator based on C++  (Stroustrup and Eberhardt, 2004). Domain specific languages are provided which were designed to simplify the implementations of new material properties, mechanical behaviours and simple material models. mfront was recently released under the GPL open-source licence and is available on its web site: http://tfel.sourceforge.net/.

The authors hope that it will prove useful for researchers and engineers, in particular in the field of solid mechanics. mfront interfaces generate code specific to each solver and language considered.

In this paper, after a general overview of mfront functionalities, a particular focus is made on mechanical behaviours which are by essence more complex and may have significant impact on the numerical performances of mechanical simulations. mfront users can describe all kinds of mechanical phenomena, such as viscoplasticity, plasticity and damage, for various types of mechanical behaviour (small strain or finite strain behaviour, cohesive zone models). Performance benchmarks, performed using the Code\_Aster finite element solver, show that the code generated using mfront is in most cases on par or better than the behaviour implementations written in fortran natively available in this solver. The material knowledge management strategy that was set up within the PLEIADES platform is briefly discussed. A material database named sirius proposes a rigorous material verification workflow.

We illustrate the use of mfront through two case of studies: a simple FFC single crystal viscoplastic behaviour and the implementation of a recent behaviour for the fuel material which describes various phenomena: fuel cracking, plasticity and viscoplasticity.},
	year = 2015,
	urldate = {2015-07-23},
	journal = {Computers \& Mathematics with Applications},
	author = {Helfer, Thomas and Michel, Bruno and Proix, Jean-Michel and Salvo, Maxime and Sercombe, Jérôme and Casella, Michel},
	keywords = {Domain specific languages, Implicit integration schemes, Material knowledge management, Mechanical behaviour integration, Single crystal plasticity},
}

@article{marchal_finite_2009,
	title = {Finite element simulation of {Pellet}-{Cladding} {Interaction} ({PCI}) in nuclear fuel rods},
	volume = {45},
	issn = {0927-0256},
	url = {http://www.sciencedirect.com/science/article/pii/S0927025608004679},
	doi = {10.1016/j.commatsci.2008.10.015},
	abstract = {This paper deals with the use of the finite element method to simulate locally the phenomenon of Pellet-Cladding Interaction (PCI) in nuclear fuel rods. The main physical processes involved in PCI are first presented. Then, the problem of PCI modeling is explained, putting the emphasis on finite element code TOUTATIS used for present analyses. Several results of two-dimensional FE analyses carried out by AREVA NP are shown. It appears that fuel pellet cracking during power ramp test is due to the friction between fuel pellet and cladding. The influence of fuel fracture properties is also investigated, focusing on the consequences on clad loading. These results are used to improve the modeling of PCI in AREVA NP’s future global fuel rod performance code COPERNIC3.},
	number = {3},
	urldate = {2014-01-08},
	journal = {Computational Materials Science},
	author = {Marchal, N. and Campos, C. and Garnier, C.},
	month = may,
	year = {2009},
	keywords = {Cracking, Criterion, Damage, Light water reactor, Nuclear fuel, PCI, Pellet-cladding interaction, Thermomechanics},
	pages = {821--826},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/R3ZUTM85/Marchal et al. - 2009 - Finite element simulation of Pellet-Cladding Inter.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/WKTH4F6W/Marchal et al. - 2009 - Finite element simulation of Pellet-Cladding Inter.html:text/html}
}

@techreport{sercombe_validation_2008,
	title = {Validation de la modélisation 3D d'{Alcyone} {V}1.1 pour l'interaction pastille-gaine},
	number = {08-056},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Sercombe, J. and Michel, B. and Chatelet, R. and Leboulch, D.},
	year = {2008}
}

@inproceedings{beguin_pci-related_2004,
	address = {Aix-en-Provence, France},
	title = {{PCI}-related constraints on {EDF} {PWRs} and associated challenges},
	booktitle = {pellet-clad interaction in water reactor fuels},
	author = {Béguin, S.},
	month = mar,
	year = {2004}
}

@techreport{sauder_caracterisations_2009,
	title = {Caractérisations mécaniques à température ambiante de composite {SiC}/{SiC} {\textbackslash}(2,5D{\textbackslash}) de faible épaisseur},
	number = {3046/A},
	institution = {DEN/DANS/DMN/SRMA/LTMEx},
	author = {Sauder, C. and Camus, G. and Humez, B. and Laurent, F.},
	year = {2009}
}

@article{besson_large_1997,
	title = {Large scale object-oriented finite element code design},
	volume = {142},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/S0045782596011243},
	doi = {10.1016/S0045-7825(96)01124-3},
	abstract = {This paper discusses the aspects of object-oriented finite element design which become relevant as the project size increases. A simple core library is described which aids program development by isolating repetitive tasks into optimized classes. This library addresses particularly the mathematical entities which appear in mechanics. Several object-oriented class idioms are given as well, with implementation syntax in C+ +. The classes address the reduction of interdependence in the code project, and facility expandability in the long term. Application of these abstract programming techniques are given within the context of a complete, working FEM code design which employs the object techniques thoroughly on every level of the computation. Furthermore, suggestions are given on how to reformulate problems in an object-oriented fashion in order to plan on expandability. Results for CPU performance are given with respect to a Fortran code.},
	number = {1–2},
	urldate = {2013-12-29},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Besson, J. and Foerch, R.},
	month = mar,
	year = {1997},
	pages = {165--187},
	file = {Besson et Foerch - 1997 - Large scale object-oriented finite element code de.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/CNAGB32C/Besson et Foerch - 1997 - Large scale object-oriented finite element code de.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/UC28P9IZ/S0045782596011243.html:text/html}
}

@book{czarnecki_generative_1998,
	title = {Generative {Programming} and {Active} {Libraries} ({Extended} {Abstract})},
	abstract = {We describe generative programming, an approach to generating  customized programming components or systems, and active libraries,  which are based on this approach. In contrast to conventional libraries,  active libraries may contain metaprograms implementing domainspecific  code generation, optimizations, debugging, profiling and testing.  Several working examples (Blitz++, GMCL, Xroma) are presented to  illustrate the potential of active libraries. We discuss relevant implementation  technologies.},
	author = {Czarnecki, Krzysztof and Eisenecker, Ulrich and Glück, Robert and Vandevoorde, David and Veldhuizen, Todd},
	year = {1998},
	file = {Citeseer - Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/JRSJTFER/Czarnecki et al. - 1998 - Generative Programming and Active Libraries (Exten.pdf:application/pdf;Citeseer - Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/ICRSHJMM/summary.html:text/html}
}

@incollection{millard_short_1996,
	series = {Coupled {Thermo}-{Hydro}-{Mechanical} {Processes} of {Fractured} {Media} {Mathematical} and {Experimental} {Studies}},
	title = {Short description of {CASTEM} 2000 and {TRIO}-{EF}},
	volume = {Volume 79},
	isbn = {0165-1250},
	url = {http://www.sciencedirect.com/science/article/pii/S0165125096800460},
	abstract = {This chapter presents a short description of CASTEM 2000 and TRIO-EF. CASTEM 2000 is what is usually called a general purpose, object oriented, finite element program. It can be used for static or dynamic analysis, linear or non linear, thermal or mechanical problems, and steady state or transient evolutions. A large variety of unidimensional, two dimensional and three dimensional solid or plate and shell elements can be used. Various material models are available for linear as well as non linear studies on steel, concrete, soils and rocks. Geometrical non linearities and stability problems can be analyzed, as well as fluid-structure interaction problems. The program is widely used in France and in many universities and research centers abroad. It has been intensively validated by comparison to analytical solutions, experimental results, and international comparative benchmarks.},
	urldate = {2013-12-28},
	booktitle = {Developments in {Geotechnical} {Engineering}},
	publisher = {Elsevier},
	author = {Millard, A.},
	editor = {Ove Stephansson, Lanru Jing {and} Chin-Fu Tsang},
	year = {1996},
	pages = {559--564},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/IFXWZMWR/S0165125096800460.html:text/html}
}

@article{pandolfi_three_2000,
	title = {three dimensional cohesive-element analysis and experiments of dynamic fracture in {C}300 steel},
	volume = {37},
	journal = {International Journal of Solids and Structures},
	author = {Pandolfi, A. and Guduru, P. R. and Ortiz, M. and Rosakis, A. J.},
	year = {2000},
	pages = {3733--3760}
}

@article{le_van_general_2003,
	title = {General formulation for local integration in standard elastoplasticity with an arbitrary hardening model},
	volume = {81},
	issn = {0045-7949},
	url = {http://www.sciencedirect.com/science/article/pii/S0045794903002566},
	doi = {10.1016/S0045-7949(03)00256-6},
	abstract = {This paper describes a general method for deriving the plastic corrections and the consistent tangent modulus for a wide range of arbitrary non-linear hardening models within the framework of standard small strains elastoplasticity. The features of the proposed formulation are: (i) the local solution is obtained through an iterative procedure. The plastic corrections are given in closed forms exhibiting one scalar function denoted by Galg and three fourth-order tensors Dalg, Galg, Lalg, which are shown to be the algorithmic discrete counterparts of usual theoretical continuum quantities, (ii) the consistent tangent modulus has a symmetrical expression involving the same quantities. Finite element computations are performed using a particular non-linear kinematic hardening model and allow to exhibit the ratcheting phenomenon usually observed on mechanical components subjected to cyclic loadings.},
	number = {21},
	urldate = {2014-12-08},
	journal = {Computers \& Structures},
	author = {Le van, Anh and de Saxcé, Géry and Le Grognec, Philippe},
	month = sep,
	year = {2003},
	keywords = {Consistent tangent modulus, Elastoplasticity, Local integration, Plastic correction, Ratcheting effect},
	pages = {2099--2109},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/KFVTIQ9F/Le van et al. - 2003 - General formulation for local integration in stand.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/GBZ4CZQB/S0045794903002566.html:text/html}
}

@book{buchwalter_calcul_1991,
	address = {Paris},
	title = {Le {Calcul} intégral: en licence de mathématiques},
	isbn = {2729841296 9782729841294},
	shorttitle = {Le {Calcul} intégral},
	language = {French},
	publisher = {Ellipses},
	author = {Buchwalter, Henri},
	year = {1991}
}

@article{williamson_enhancing_2011,
	title = {Enhancing the {ABAQUS} thermomechanics code to simulate multipellet steady and transient {LWR} fuel rod behavior},
	volume = {415},
	issn = {0022-3115},
	url = {http://www.sciencedirect.com/science/article/pii/S0022311511005228},
	doi = {10.1016/j.jnucmat.2011.05.044},
	abstract = {A powerful multidimensional fuels performance analysis capability, applicable to both steady and transient fuel behavior, is developed based on enhancements to the commercially available ABAQUS general-purpose thermomechanics code. Enhanced capabilities are described, including: UO2 temperature and burnup dependent thermal properties, solid and gaseous fission product swelling, fuel densification, fission gas release, cladding thermal and irradiation creep, cladding irradiation growth, gap heat transfer, and gap/plenum gas behavior during irradiation. This new capability is demonstrated using a 2D axisymmetric analysis of the upper section of a simplified multipellet fuel rod, during both steady and transient operation. Comparisons are made between discrete and smeared-pellet simulations. Computational results demonstrate the importance of a multidimensional, multipellet, fully-coupled thermomechanical approach. Interestingly, many of the inherent deficiencies in existing fuel performance codes (e.g., 1D thermomechanics, loose thermomechanical coupling, separate steady and transient analysis, cumbersome pre- and post-processing) are, in fact, ABAQUS strengths.},
	number = {1},
	urldate = {2013-12-28},
	journal = {Journal of Nuclear Materials},
	author = {Williamson, R. L.},
	month = aug,
	year = {2011},
	pages = {74--83},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/3H8273QW/S0022311511005228.html:text/html;Williamson - 2011 - Enhancing the ABAQUS thermomechanics code to simul.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/98S237W8/Williamson - 2011 - Enhancing the ABAQUS thermomechanics code to simul.pdf:application/pdf}
}

@book{zebulon_z-set_2000,
	title = {Z-set {Developper} {Manual}},
	author = {Zebulon},
	year = {2000}
}

@article{monerie_overall_2006,
	title = {Overall viscoplastic behavior of non-irradiated porous nuclear ceramics},
	volume = {38},
	issn = {0167-6636},
	url = {http://www.sciencedirect.com/science/article/pii/S0167663605001882},
	doi = {10.1016/j.mechmat.2005.11.004},
	abstract = {This paper deals with the overall behavior of nonlinear viscous and porous nuclear ceramics. Bi-viscous isotropic porous materials are considered: the matrix is subjected to two power-law viscosities with different exponents related to two stationary temperature-activated creeping mechanisms (scattering-creep and dislocation-creep), and this matrix contains a low porosity volume fraction. The overall behavior of these types of composite materials is obtained with the help of quadratic strain-rate potentials combined with experimental-based coupling function depending on stress and temperature. For each creeping mechanism, the hollow sphere model of [Michel, J.-C., Suquet, P., 1992. The constitutive law of nonlinear viscous and porous materials. Journal of the Mechanics and Physics of Solids 40, 783–812] is used. Mechanical parameters of the resulting model are identified and validated in the particular case of non-irradiated uranium dioxide nuclear ceramics. This model predicts, under pure thermo-mechanical loading, a variation of the material volume and a variation of the porosity volume fraction (the so-called densification or swelling).},
	number = {7},
	urldate = {2014-01-08},
	journal = {Mechanics of Materials},
	author = {Monerie, Yann and Gatt, Jean-Marie},
	month = jul,
	year = {2006},
	keywords = {Nonlinear viscosity, Nuclear ceramics, Overall behavior, Porous materials},
	pages = {608--619},
	file = {Monerie et Gatt - 2006 - Overall viscoplastic behavior of non-irradiated po.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/Z2RN673Q/Monerie et Gatt - 2006 - Overall viscoplastic behavior of non-irradiated po.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/67UDXQM9/Monerie and Gatt - 2006 - Overall viscoplastic behavior of non-irradiated po.html:text/html}
}

@techreport{garcia_description_1994,
	title = {Description du traitement de la mécanique du code {TRANSURANUS} - {Analyse} des algorithmes et sous-programmes du module mécanique},
	number = {94 2055},
	institution = {SDC/LEMC},
	author = {Garcia, P.},
	year = {1994}
}

@techreport{bentejac_lois_1997,
	title = {lois physiques utilisées pour la modélisation thermomécanique des crayons combustible dans le code {Toutatis} version 2.0},
	number = {96/14},
	institution = {DMT/SEMI/LEMO},
	author = {Bentejac, F. and Hourdequin, N. and Bourreau, S. and Brochard, J.},
	month = jan,
	year = {1997}
}

@book{muskhelishvili_basic_1963,
	title = {some basic {Problems} of the mathematical theory of elasticity},
	publisher = {P. Noordhoff Ltd.},
	author = {Muskhelishvili, N. I.},
	year = {1963}
}

@article{lorentz_analysis_2003,
	title = {Analysis of non-local models through energetic formulations},
	volume = {40},
	journal = {International Journal of Solids and Structures},
	author = {Lorentz, É and Andrieux, S.},
	year = {2003},
	pages = {2905--2936}
}

@techreport{edf_prise_2012,
	type = {Référence du {Code} {Aster}},
	title = {Prise en compte de l’hypothèse des contraintes planes dans les comportements non linéaires},
	url = {http://www.code-aster.org},
	number = {R5.03.03 révision 10101},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	year = {2012},
	file = {Proix - 2012 - Prise en compte de l’hypothèse des contraintes pla.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/T5SUIBUM/Proix - 2012 - Prise en compte de l’hypothèse des contraintes pla.pdf:application/pdf}
}

@inproceedings{haidar_proprietes_2004,
	series = {Colloque national {Mecamat}},
	title = {propriétés de rupture, microstructure et vieillissement : approche par un modèle d'endommagement non local},
	booktitle = {Mécanismes et mécanique des matériaux et structures à longueur interne : comportement et effet d'échelle},
	author = {Haidar, K. and Pijaudier-Cabot, G.},
	month = jan,
	year = {2004},
	pages = {233--240}
}

@techreport{code_notice_2014,
	type = {Référence du {Code} {Aster}},
	title = {Notice d’utilisation du couplage entre {Code}\_Aster et les modules de lois de comportement {Zmat} et {UMAT}.},
	url = {http://www.code-aster.org},
	number = {U2.10.01},
	institution = {EDF-R\&D/AMA},
	author = {Code, Aster},
	month = apr,
	year = {2014}
}

@article{jayatilaka_engineering_1979,
	title = {Engineering ceramics},
	journal = {fracture of engineering brittle materials},
	author = {Jayatilaka, A. de},
	year = {1979}
}

@techreport{helfer_premiers_2011,
	title = {Premiers calculs thermiques de barres de commande dans {\textbackslash}pleiades : perspectives de modélisation},
	number = {11-014},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Helfer, Thomas and Proix, Jean-Michel and Gosset, Dominique},
	year = {2011}
}

@article{le_saux_model_2008,
	title = {A model to describe the anisotropic viscoplastic mechanical behavior of fresh and irradiated {Zircaloy}-4 fuel claddings under {RIA} loading conditions},
	volume = {378},
	issn = {0022-3115},
	url = {http://www.sciencedirect.com/science/article/pii/S0022311508002481},
	doi = {10.1016/j.jnucmat.2008.04.017},
	abstract = {This paper presents a unified phenomenological model to describe the anisotropic viscoplastic mechanical behavior of cold-worked stress relieved (CWSR) Zircaloy-4 fuel claddings submitted to reactivity initiated accident (RIA) loading conditions. The model relies on a multiplicative viscoplastic formulation and reproduces strain hardening, strain rate sensitivity and plastic anisotropy of the material. It includes temperature, fluence and irradiation conditions dependences within RIA typical ranges. Model parameters have been tuned using axial tensile, hoop tensile and closed-end internal pressurization tests results essentially obtained from the PROMETRA program, dedicated to the study of zirconium alloys under RIA loading conditions. Once calibrated, the model provides a reliable description of the mechanical behavior of the fresh and irradiated (fluence up to 10 × 10 25 nm - 2 or burnup up to 64 GWd/tU) material within large temperature (from 20 °C up to 1100 °C) and strain rate ranges (from 3 × 10 - 4 s - 1 up to 5 s - 1 ), representative of the RIA spectrum. Finally, the model is used for the finite element analysis of the hoop tensile tests performed within the PROMETRA program.},
	number = {1},
	urldate = {2015-01-20},
	journal = {Journal of Nuclear Materials},
	author = {Le Saux, M. and Besson, J. and Carassou, S. and Poussard, C. and Averty, X.},
	month = aug,
	year = {2008},
	pages = {60--69},
	file = {Le Saux et al. - 2008 - A model to describe the anisotropic viscoplastic m.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/M85K9442/Le Saux et al. - 2008 - A model to describe the anisotropic viscoplastic m.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/PG92G9QQ/S0022311508002481.html:text/html}
}

@article{moal_scanair:_2014,
	title = {{SCANAIR}: {A} transient fuel performance code: {Part} {One}: {General} modelling description},
	volume = {280},
	issn = {0029-5493},
	shorttitle = {{SCANAIR}},
	url = {http://www.sciencedirect.com/science/article/pii/S002954931400257X},
	doi = {10.1016/j.nucengdes.2014.03.055},
	abstract = {Since the early 1990s, the French “Institut de Radioprotection et de Sûreté Nucléaire” (IRSN) has developed the SCANAIR computer code with the view to analysing pressurised water reactor (PWR) safety. This software specifically focuses on studying fast transients such as reactivity-initiated accidents (RIA) caused by possible ejection of control rods. The code aims at improving the global understanding of the physical mechanisms governing the thermal-mechanical behaviour of a single rod. It is currently used to analyse integral tests performed in CABRI and NSRR experimental reactors. The resulting validated code is used to carry out studies required to evaluate margins in relation to criteria for different types of fuel rods used in nuclear power plants.

Because phenomena occurring during fast power transients are complex, the simulation in SCANAIR is based on a close coupling between several modules aimed at modelling thermal, thermal-hydraulics, mechanical and gas behaviour. During the first stage of fast power transients, clad deformation is mainly governed by the pellet–clad mechanical interaction (PCMI). At the later stage, heat transfers from pellet to clad bring the cladding material to such high temperatures that the boiling crisis might occurs. The significant over-pressurisation of the rod and the fact of maintaining the cladding material at elevated temperatures during a fairly long period can lead to ballooning and possible clad failure.

A brief introduction describes the context, the historical background and recalls the main phenomena involved under fast transient conditions. Then, the main features of the SCANAIR computer code (version 7) are presented. The present paper is particularly focused on the detailed description of the thermal dynamics, the structural mechanics until the prediction of the clad failure and the gas behaviour modellings. A further paper will be focused on the code validation.},
	urldate = {2014-12-04},
	journal = {Nuclear Engineering and Design},
	author = {Moal, Alain and Georgenthum, Vincent and Marchand, Olivier},
	month = dec,
	year = {2014},
	pages = {150--171},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7NHKSU8T/Moal et al. - 2014 - SCANAIR A transient fuel performance code Part O.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/DGAUQTQ3/S002954931400257X.html:text/html}
}

@techreport{portier_influence_2004,
	address = {Saclay},
	type = {Note technique},
	title = {Influence de l’hydrogène sur le comportement métallurgique et thermomécanique de l’alliage {M}5 en conditions {APRP}},
	abstract = {Afin d’étudier l’influence de l’hydruration sur la déformation et la rupture en
conditions accidentelles et d’aider ainsi à la modélisation du comportement en APRP des gaines
fortement irradiées, un programme expérimental a été réalisé depuis ces 5 dernières années sur
l’alliage M5 pré-hydruré. Cette note de synthèse rappelle toutes les données expérimentales
métallurgiques obtenues pour le M5 pré-hydruré entre {\textasciitilde}100 et {\textasciitilde}900 ppm-masse, et décrit un
modèle cinétique de la transformation de phases α⇔β pour le M5 pré-hydruré entre {\textasciitilde}100 et
{\textasciitilde}250 ppm-masse, teneurs enveloppes d’un M5 « fin de vie ». En parallèle, cette note présente
l’ensemble du programme d’essais mécaniques de fluage et de rampes de température menés sur
l’alliage M5 pré-hydruré à {\textasciitilde}150 ppm-masse (représentatif d’un M5 « fin de vie ») et à {\textasciitilde}650
ppm-masse (pour comparaison avec les résultats obtenus à ces teneurs pour le Zy4 AFA-2G).
Pour des teneurs supérieures à {\textasciitilde}100 ppm-masse, on observe un effet de l'hydrogène sur les
températures de transformation de phases, aussi bien à l'équilibre qu'en cinétique. Comme déjà
observé pour le Zy4, cet élément bêta gène abaisse les transus de transformation de phases α⇔β
du M5TM. Néanmoins, l'impact d'une teneur de 150ppm-masse reste relativement faible, avec un
effet de l'ordre de 30°C sur le transus bas Tα→α+β de la courbe à l'équilibre.
Pour une teneur de {\textasciitilde}650 ppm-masse, l’hydrogène modifie notablement le comportement
mécanique de l’alliage M5 en diminuant la résistance au fluage et la ductilité à rupture. Par
contre, il s’avère qu’une teneur en hydrogène de {\textasciitilde}150 ppm-masse n'a qu'un effet très faible sur
le comportement du M5 aussi bien en fluage qu’en rampe de température, cet effet restant proche
de la dispersion expérimentale intrinsèque au matériau. Par conséquent on montre que, compte
tenu de sa précision, le modèle EDGAR M5 V1 identifié sur matériau vierge simule tout à fait
correctement le comportement de l’alliage M5 pré-hydruré à {\textasciitilde}150 ppm-masse et peut donc être
conservé pour simuler le comportement du M5 pour les teneurs en hydrogène représentatives du
fonctionnement en REP.},
	number = {NT 2003-2602 Indice A},
	institution = {CEA DEN/DMN/SRMA/LC2M\&LA2M},
	author = {Portier, Laurence and Brachet, J.C. and Guilbert, T. and Lezaud, V.},
	month = apr,
	year = {2004},
	file = {Portier et al. - 2004 - Influence de l’hydrogène sur le comportement métal.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/KVDD7ANF/Portier et al. - 2004 - Influence de l’hydrogène sur le comportement métal.pdf:application/pdf}
}

@techreport{revol_etude_2012,
	title = {Étude thermomécanique d’éléments absorbants innovants pour le réacteur {ASTRID}},
	abstract = {Aujourd’hui, la prospérité de nos sociétés repose sur une utilisation massive d’énergies. Pour répondre à ce besoin croissant et indispensable, il existe différentes ressources exploitables comme les énergies fossiles (pétrole, charbon, gaz…), les énergies renouvelables (solaire, éolien, hydraulique…) ou l’énergie nucléaire. Ces ressources possèdent chacune des forces et des faiblesses et sont au cœur d’enjeux environnementaux majeurs.
En France, l’énergie nucléaire occupe une place prédominante avec ses 58 réacteurs et assure près de 80 \% de la production d’électricité du pays. Un 59ème réacteur est en construction à Flamanville avec une capacité de puissance de 1600 MW, suffisante pour alimenter une ville comme Paris.
Le CEA participe activement à l’évolution des technologies pour l’énergie et développe notamment de nouvelles générations de réacteurs nucléaires, améliorant les performances, la durabilité, la sûreté et l’économie de ces systèmes. C’est dans ce contexte qu’est né le projet de concevoir le réacteur rapide refroidi au sodium ASTRID. Dès à présent, les activités de R\&D menées par le CEA visent à réunir tous les éléments techniques qui permettront, dès 2012, de décider du cahier des charges du prototype.

Par conception, les réacteurs nucléaires se composent de différents types d’assemblages. Certains assemblages renferment le combustible nucléaire, d’autres assemblages, assurant la commande et l’arrêt du réacteur, contiennent des matériaux, dits neutrophages, qui absorbent les neutrons. Le travail présenté dans la suite de ce rapport concerne l’étude thermomécanique de dispositifs de commande et d’arrêt innovants, envisagés pour le réacteur ASTRID, en modifiant la structure géométrique et les matériaux neutrophages des assemblages actuels, dans le but d’améliorer leurs performances.

Dans un premier temps, nous donnons une rapide description du contexte et des éléments nécessaires à la compréhension du sujet. Puis nous présentons les études de dimensionnements analytiques, effectuées pour les dispositifs envisagés. Vient ensuite l’étude de différents matériaux neutrophages, après quoi nous décrivons l’utilisation que nous avons eue du code de calcul thermomécanique LICOS. Enfin, nous présentons les résultats et analysons l’intérêt de différentes configurations retenues.},
	language = {français},
	institution = {École Nationale Supérieure de Mécanique et des Microstechniques},
	author = {Revol, Aurélien},
	month = jun,
	year = {2012},
	file = {Revol - 2012 - Étude thermomécanique d’éléments absorbants innova.doc:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/I38NJUS6/Revol - 2012 - Étude thermomécanique d’éléments absorbants innova.doc:application/msword}
}

@article{le_van_general_2003-1,
	title = {General formulation for local integration in standard elastoplasticity with an arbitrary hardening model},
	volume = {81},
	issn = {0045-7949},
	url = {http://www.sciencedirect.com/science/article/pii/S0045794903002566},
	doi = {10.1016/S0045-7949(03)00256-6},
	abstract = {This paper describes a general method for deriving the plastic corrections and the consistent tangent modulus for a wide range of arbitrary non-linear hardening models within the framework of standard small strains elastoplasticity. The features of the proposed formulation are: (i) the local solution is obtained through an iterative procedure. The plastic corrections are given in closed forms exhibiting one scalar function denoted by Galg and three fourth-order tensors Dalg, Galg, Lalg, which are shown to be the algorithmic discrete counterparts of usual theoretical continuum quantities, (ii) the consistent tangent modulus has a symmetrical expression involving the same quantities. Finite element computations are performed using a particular non-linear kinematic hardening model and allow to exhibit the ratcheting phenomenon usually observed on mechanical components subjected to cyclic loadings.},
	number = {21},
	urldate = {2014-12-08},
	journal = {Computers \& Structures},
	author = {Le van, Anh and de Saxcé, Géry and Le Grognec, Philippe},
	month = sep,
	year = {2003},
	keywords = {Consistent tangent modulus, Elastoplasticity, Local integration, Plastic correction, Ratcheting effect},
	pages = {2099--2109},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/WF34HKNZ/Le van et al. - 2003 - General formulation for local integration in stand.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/MX4BP87A/S0045794903002566.html:text/html}
}

@article{xu_numerical_1994,
	title = {numerical simulations of fast crack growth in brittle solids},
	volume = {42},
	number = {9},
	journal = {J. Mech. Phys. Solids},
	author = {Xu, X.-P. and Needleman, A.},
	year = {1994},
	pages = {1397--1434}
}

@techreport{verdeau_synthese_1999,
	title = {synthèse des rampes effectuées sur les segments {J}12-5, {J}12-4 et {J}12-2 (1ıere phase)},
	number = {RT/99-001/A},
	institution = {SEMI/LEMO},
	author = {Verdeau, C.},
	year = {1999}
}

@article{mbiakop_model_????,
	title = {A model for porous single crystals with cylindrical voids of elliptical cross-section},
	issn = {0020-7683},
	url = {http://www.sciencedirect.com/science/article/pii/S0020768315001328},
	doi = {10.1016/j.ijsolstr.2015.03.017},
	abstract = {This work presents a rate-dependent constitutive model for porous single crystals with arbitrary number of slip systems and orientations. The single crystal comprises cylindrical voids with elliptical cross-section at arbitrary orientations and is subjected to general plane-strain loadings. The proposed model, called modified variational model (MVAR), is based on the nonlinear variational homogenization method, which makes use of a linear comparison porous single crystal material to estimate the response of the nonlinear porous single crystal. The MVAR model is validated by periodic finite element simulations for a large number of parameters including general in-plane crystal anisotropy, general in-plane void shapes and orientations, various creep exponents (i.e., nonlinearity) and general plane strain loading conditions. The MVAR model, which at the present state involves no calibration parameters, is found to be in good agreement with the finite element results for all cases considered in this work. The model is then used in a predictive manner to investigate the complex response of porous single crystals in several cases with strong coupling between the anisotropy of the crystal and the (morphological) anisotropy induced by the shape and orientation of the voids.},
	urldate = {2015-04-21},
	journal = {International Journal of Solids and Structures},
	author = {Mbiakop, A. and Constantinescu, A. and Danas, K.},
	keywords = {Crystal plasticity, Homogenization, Porous materials},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/U9RBTQ89/Mbiakop et al. - A model for porous single crystals with cylindrica.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/RESWME3T/S0020768315001328.html:text/html}
}

@article{stainier_study_2010,
	title = {Study and validation of a variational theory of thermo-mechanical coupling in finite visco-plasticity},
	volume = {47},
	issn = {0020-7683},
	url = {http://www.sciencedirect.com/science/article/pii/S0020768309004478},
	doi = {10.1016/j.ijsolstr.2009.11.012},
	abstract = {We present an experimental validation of the variational theory of thermo-mechanical coupling of Yang et al. (2006) in the case of finite thermo-visco-plasticity. The variational theory results in precise predictions of the rate of heating due to dissipation and does not require an a priori definition or model of a fraction of plastic work converted to heat. We show that the predicted heat-to-plastic work ratios are in good agreement with experimental observations for 2024-T3 aluminum, α-titanium and pure polycrystalline tantalum, including their evolution with strain and their dependence on strain-rate. We also critically compare the variational theory to other theories and models in the literature.},
	number = {5},
	urldate = {2014-12-04},
	journal = {International Journal of Solids and Structures},
	author = {Stainier, L. and Ortiz, M.},
	month = mar,
	year = {2010},
	keywords = {Finite visco-plasticity, Thermo-mechanical coupling, Variational constitutive updates},
	pages = {705--715},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/H8M48WMP/S0020768309004478.html:text/html;Stainier et Ortiz - 2010 - Study and validation of a variational theory of th.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/NTWQAQFI/Stainier et Ortiz - 2010 - Study and validation of a variational theory of th.pdf:application/pdf}
}

@article{chaboche_damage_1992,
	title = {damage induced anisotropy : on the difficulties associated with the active/passive unilateral condition},
	volume = {148-171},
	journal = {International Journal of Damage Mechanics},
	author = {Chaboche, J.-L.},
	year = {1992}
}

@article{jernkvist_continuum_1997,
	title = {A continuum model for cracked  fuel},
	volume = {176},
	journal = {Nuclear Engineering and Design},
	author = {Jernkvist, L. O.},
	year = {1997},
	pages = {273--284}
}

@article{lassmann_structure_1980,
	title = {The structure of fuel element codes},
	volume = {57},
	issn = {0029-5493},
	url = {http://www.sciencedirect.com/science/article/pii/0029549380902216},
	doi = {10.1016/0029-5493(80)90221-6},
	abstract = {Various models appropriate to the varying degrees of theoretical sophistication have been developed in fuel element structural analysis. Establishing these code systems required a tremendous amount of work relating to the mathematical/mechanical description to be done, and it seems that the standard of analytical modelling enables us to understand most of the intrinsic physical fuel rod phenomena.

Nevertheless, comparisons of theory and experiment or comparisons between several codes often show rather poor results. Moreover the interaction of complex material behavior and complex structural analysis makes it very difficult to identify the real sources of discrepancies. In most cases a few experiments with very specific objectives were used to calibrate the codes against experiments. But in general a limited data base can be understood quite satisfactorily even by contradictory models and, consequently, wide scattering results if models are applied to new situations.

In the present paper the basic structure of fuel element codes is discussed. The concept common to all fuel element structural analyses led to a general program structure which is presented in detail. The mechanical concepts of integral fuel element codes are reviewed, with special emphasis put on the modeling of pellet/cladding interaction and axial coupling. An attempt is made to classify material data and models, and the state of the art of accident analysis by means of fuel element codes is outlined.

The objective of this contribution is a completion of code ranking already carried out in the past. In contrary to code ranking where inevitably subjective criteria have to be used besides objective criteria, a classification of fuel element problems enables the community of fuel element structural analysts to take advantage of a much larger data base and to harmonize physical models or, perhaps, fuel element modeling in general.},
	number = {1},
	urldate = {2014-01-08},
	journal = {Nuclear Engineering and Design},
	author = {Lassmann, K.},
	month = apr,
	year = {1980},
	pages = {17--39},
	file = {Lassmann - 1980 - The structure of fuel element codes.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/I7FERIUZ/Lassmann - 1980 - The structure of fuel element codes.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/RBJPHUP7/Lassmann - 1980 - The structure of fuel element codes.html:text/html}
}

@techreport{helfer_ecriture_2014,
	type = {Note technique},
	title = {Écriture de lois de comportement mécanique en grandes transformations avec le générateur de code {MFront}},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Helfer, Thomas},
	year = {2014}
}

@book{meyers_effective_1998,
	edition = {2nd},
	title = {Effective {C}++: 50 {Specific} {Ways} to {Improve} {Your} {Programs} and {Design}},
	publisher = {Addison-Wesley},
	author = {Meyers, S.},
	year = {1998}
}

@phdthesis{castelier_estimation_1995,
	title = {Estimation d'un champ de perméabilité à partir de mesures de charge hydraulique},
	school = {École Nationale Supérieure des Mines de Paris},
	author = {Castelier, Étienne},
	year = {1995}
}

@techreport{struzik_meteor_2000,
	title = {Meteor version 1.5 : descriptive manual},
	number = {00-2002},
	institution = {DEC/SESC/LSC},
	author = {Struzik, C. and Piron, J. P. and Agard, M. and Pelletier, M. and Delette, G. and Marelle, V. and Garcia, P. and Guérin, Y.},
	month = oct,
	year = {2000}
}

@article{bodoville_plasticity_2001-1,
	title = {plasticity with non-linear kinematic hardening : modelling and shakedown analysis by the bipotential approach},
	volume = {20},
	journal = {Eur. J. Mech. A/Solids},
	author = {Bodovillé, G. and Saxcé, G. de},
	year = {2001},
	pages = {99--112}
}

@inproceedings{chambon_modelisation_2004,
	series = {Colloque national {Mecamat}},
	title = {modélisation numérique des milieux continus de second gradient locaux, application à la localisation dans},
	booktitle = {Mécanismes et mécanique des matériaux : comportement et effets d'échelle},
	author = {Chambon, R. and Bésuelle, P. and Moullet, J. C.},
	month = jan,
	year = {2004},
	pages = {225--232}
}

@inproceedings{helfer_implantation_2015,
	address = {Giens, France},
	title = {Implantation de lois de comportement mécanique à l'aide de {MFront} : simplicité, efficacité, robustesse et portabilité.},
	publisher = {CSMA},
	author = {Helfer, Thomas and Proix, Jean-Michel and Fandeur, Olivier},
	month = jun,
	year = {2015}
}

@article{singh_implicit_1999,
	title = {An implicit integration algorithm for plane stress damage coupled elastoplasticity},
	volume = {26},
	issn = {0093-6413},
	url = {http://www.sciencedirect.com/science/article/pii/S0093641399000804},
	doi = {10.1016/S0093-6413(99)00080-4},
	number = {6},
	urldate = {2014-01-29},
	journal = {Mechanics Research Communications},
	author = {Singh, Arbind Kr. and Pandey, P. C.},
	month = nov,
	year = {1999},
	pages = {693--700},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/6HAUT5V2/Singh et Pandey - 1999 - An implicit integration algorithm for plane stress.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/GPF34HE6/S0093641399000804.html:text/html}
}

@techreport{henrot_analyse_2001,
	title = {analyse numérique},
	institution = {École des Mines de Nancy},
	author = {Henrot, A. and Pierre, M.},
	year = {2001},
	note = {Cours électif CE49}
}

@article{garcia_mono-dimensional_2002,
	title = {Mono-dimensional mechanical modelling of fuel rods under normal and off-normal operating conditions},
	volume = {216},
	issn = {0029-5493},
	url = {http://www.sciencedirect.com/science/article/pii/S0029549302000596},
	doi = {10.1016/S0029-5493(02)00059-6},
	abstract = {This paper deals essentially with the mono-dimensional mechanical description of pressurised water reactor (PWR) fuel rods under normal and off-normal operating conditions for which a finite element model (MEFISTO) has been developed and integrated to the meteor fuel performance application. We describe the basic modelling hypotheses with particular attention being paid to the numerical treatment of non-linear stress relaxation phenomena such as cracking and creep of oxide fuels, cladding creep and plastic behaviour which are all accounted for. Calculation results are then shown to compare favourably over a wide range of experimental data points mainly pertaining to cladding diameter measurements of PWR rods. These results illustrate the validity of modelling hypotheses at different scales and are used to outline the areas of research that can be explored in an attempt to develop a more comprehensive and mechanistic approach to fuel rod modelling.},
	number = {1–3},
	urldate = {2014-01-08},
	journal = {Nuclear Engineering and Design},
	author = {Garcia, Ph. and Struzik, C. and Agard, M. and Louche, V.},
	month = jul,
	year = {2002},
	pages = {183--201},
	file = {Garcia et al. - 2002 - Mono-dimensional mechanical modelling of fuel rods.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/5Z2C4U76/Garcia et al. - 2002 - Mono-dimensional mechanical modelling of fuel rods.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/JUNSZKMX/Garcia et al. - 2002 - Mono-dimensional mechanical modelling of fuel rods.html:text/html}
}

@misc{_expressions_2009,
	title = {Expressions rationnelles},
	url = {http://fr.wikipedia.org/wiki/Expression_rationnellehttp://fr.wikipedia.org/wiki/Expression_rationnelle},
	year = {2009}
}

@article{simo_associative_1992,
	title = {Associative coupled thermoplasticity at finite strains: {Formulation}, numerical analysis and implementation},
	volume = {98},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/004578259290170O},
	doi = {10.1016/0045-7825(92)90170-O},
	abstract = {This paper presents a complete formulation of a model of coupled associative thermoplasticity at finite strains, addresses in detail the numerical analysis aspects involved in its finite element implementation, and assesses the performance of the proposed mechanical and finite element models in a comprehensive set of numerical simulations. On the thermomechanical side, novel aspects of the proposed model of thermoplasticity are (1) the explicit characterization of the plastic (configurational) entropy as an independent internal variable, (2) a thermomechanical extension of the principle of maximum dissipation consistent with the multiplicative decomposition of the deformation gradient, and (3) the exploitation of this extended principle in the formulation of an associative flow which characterizes the evolution of the plastic entropy in terms of the change of the flow criterion with respect to temperature. On the numerical analysis side, salient features of the proposed approach are (4) a new global product formula algorithm constructed via an operator split of the nonlinear initial value problem, which leads to a two-step solution procedure, (5) a unified class of local return mapping algorithms which preserves exactly the incompressibility constraint on the plastic flow and reduces to the classical radial return method for isothermal J2-flow theory, and (6) the formulation of a mixed finite element method in terms of the elastic entropy and the temperature field which circumvents well-known difficulties associated with the incompressibility constraint on the plastic flow. The exact linearization of both the product formula algorithm and an alternative simulataneous solution scheme for the coupled thermomechanical problem is given in two appendices.},
	number = {1},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Simo, J.C. and Miehe, C.},
	month = jul,
	year = {1992},
	pages = {41--104},
	file = {Simo_miehe.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/CFKEJGPF/Simo_miehe.pdf:application/pdf}
}

@book{francois_comportement_1995,
	address = {Paris},
	title = {Comportement mécanique des matériaux {II} - viscoplasticité, endommagement, mécanique de la rupture, mécanique du contact},
	publisher = {Hermès},
	author = {François, Dominique and Pineau, André and Zaoui, André},
	year = {1995}
}

@book{zebulon_z-set_2000-1,
	title = {Z-set {Examples} {Manual}},
	author = {Zebulon},
	year = {2000}
}

@techreport{bejaoui_irradiation_2010,
	title = {Irradiation {Expérimentale} {DIAMINO}, dossier de présentation},
	number = {DEC/SESC/LC2I/10-006},
	institution = {CEA DEN/DEC/SESC/LC2I},
	author = {Bejaoui, Syriac and Lambert, Thierry},
	year = {2010}
}

@techreport{escleine_aiguille_2008,
	title = {L'aiguille "absorbante" des cøeurs rapides français : un point sur la conception, la modélisation et les moyens de calcul, perspectives},
	number = {08-008},
	institution = {CEA DEN/DEC/SESC/LLCC},
	author = {Escleine, J.M.},
	year = {2008}
}

@book{simo_computational_1998,
	address = {New York},
	title = {Computational inelasticity},
	isbn = {0387975209  9780387975207},
	language = {English},
	publisher = {Springer},
	author = {Simo, Juan C and Hughes, Thomas J. R},
	year = {1998},
	file = {Simo et Hughes - 1998 - Computational inelasticity.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/SE39IJBI/Simo et Hughes - 1998 - Computational inelasticity.pdf:application/pdf}
}

@book{_manuel_2008-1,
	title = {Manuel de management {QSE} de la {DEN} {Cadarache}},
	month = nov,
	year = {2008}
}

@article{meric_single_1991,
	title = {Single crystal modelling for structural calculations},
	volume = {113},
	journal = {Journal of Engineering Material and Technology},
	author = {Méric, L. and Cailletaud, Georges},
	month = jan,
	year = {1991},
	pages = {171--182}
}

@article{jiang_non-uniform_2013-1,
	title = {A non-uniform transformation field analysis for frictional cohesive geomaterials},
	volume = {42},
	issn = {0997-7538},
	url = {http://www.sciencedirect.com/science/article/pii/S0997753813000478},
	doi = {10.1016/j.euromechsol.2013.04.004},
	abstract = {This paper is devoted to the micromechanical analysis of effective behavior of heterogeneous materials with pressure-dependent plastic constituents. The micromechanical model is based on an extension of the NTFA method proposed by Michel and Suquet (2003, 2004). The local plastic strain field is divided into a volumetric part and a deviatoric part. Each part is expressed as a linear combination of relevant non-uniform plastic strain fields, called “plastic modes”. The non-uniform microscopic strain fields are thus described by a finite number of reduced internal variables. And the local constitutive models are then reformulated in terms of such variables. The proposed model is applied to two typical heterogeneous materials: inclusion reinforced composite and porous material. Numerical results obtained by the NTFA are compared with the direct finite element solutions. In particular, the macroscopic yield stresses of porous materials are compared between the NTFA and some recently proposed analytical criteria. Finally, as an application example, the micromechanical model is used to simulate laboratory tests performed on porous sandstone.},
	urldate = {2015-04-21},
	journal = {European Journal of Mechanics - A/Solids},
	author = {Jiang, T. and Shao, J. F. and Xu, W. Y.},
	month = nov,
	year = {2013},
	keywords = {Homogenization, Micromechanics, NTFA},
	pages = {97--111},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/EK9TJB8G/Jiang et al. - 2013 - A non-uniform transformation field analysis for fr.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/HX778EVE/S0997753813000478.html:text/html}
}

@techreport{edf_loi_2013,
	type = {Référence du {Code} {Aster}},
	title = {Loi de comportement en grandes rotations et petites déformations},
	url = {http://www.code-aster.org},
	number = {R5.03.22 révision : 11536},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	month = sep,
	year = {2013},
	file = {r5.03.22.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/TNCBXXDR/r5.03.22.pdf:application/pdf}
}

@article{michel_simulation_2013,
	title = {Simulation of {Pellet}-{Cladding} {Interaction} with the {PLEIADES} fuel performance software environment},
	volume = {182},
	journal = {Nuclear technology},
	author = {Michel, Bruno and Nonon, Christelle and Sercombe, Jérôme and Michel, Frédéric and Marelle, Vincent},
	month = jun,
	year = {2013},
	file = {Michel et al. - 2013 - Simulation of Pellet-Cladding Interaction with the.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/CTCZW7IX/Michel et al. - 2013 - Simulation of Pellet-Cladding Interaction with the.pdf:application/pdf}
}

@techreport{helfer_criteres_2011,
	title = {Critères de conceptions {RAMSES}},
	number = {à paraître},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Helfer, T.},
	year = {2011}
}

@techreport{geyer_integration_1998,
	type = {Référence du {Code} {Aster}},
	title = {Intégration explicite des relations de comportement non linéaire},
	url = {http://www.code-aster.org},
	number = {R5.03.14},
	institution = {EDF/RNE/EMA, IMA/MMN},
	author = {Geyer, P. and Lorentz, Éric and Vogel, C.},
	year = {1998}
}

@techreport{ravenet_pleiades_2006,
	title = {Pléiades - cahier des charges de l'application {CELAENO} version v1.0 - combustible plaque pour {RCG}-{R}},
	number = {SESC/LC2I 06-020},
	author = {Ravenet, Alain},
	month = sep,
	year = {2006}
}

@book{friedl_maitrise_2003,
	edition = {2ıeme édition},
	title = {Maîtrise des expressions régulières},
	number = {ISBN 2-84277-236-5},
	publisher = {O'Reilly},
	author = {Friedl, Jeffrey E. F.},
	year = {2003}
}

@article{rashid_mathematical_1974,
	title = {Mathematical modeling and analysis of fuel rods},
	volume = {29},
	issn = {0029-5493},
	url = {http://www.sciencedirect.com/science/article/pii/0029549374900958},
	doi = {10.1016/0029-5493(74)90095-8},
	abstract = {This paper presents a comprehensive method of analysis for nuclear fuel rods by first developing appropriate constitutive relations for the fuel and the clad materials that take into account elastic-plastic behavior, primary as well as secondary creep, mechanical densification (hot pressing), fuel swelling, fuel cracking and healing, and fuel redistribution. The geometric problem is treated on the basis of a two-dimensional, axisymmetric, and plane model within the framework of the finite element method. General power histories of the transient, cyclic, and steady-state types are considered. Analysis results uncovering the importance of certain deformation processes, which heretofore have been neglected, and comparisons with experiments are given.},
	number = {1},
	urldate = {2014-01-10},
	journal = {Nuclear Engineering and Design},
	author = {Rashid, Y. R.},
	month = nov,
	year = {1974},
	pages = {22--32},
	file = {Rashid - 1974 - Mathematical modeling and analysis of fuel rods.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/D8ISKKPT/Rashid - 1974 - Mathematical modeling and analysis of fuel rods.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/DXZTK7K6/0029549374900958.html:text/html}
}

@article{hillerborg_analysis_1976,
	title = {Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements},
	volume = {6},
	journal = {Cement and Concrete Research},
	author = {Hillerborg, A. and Modéer, M. and Perterson, P.-E.},
	year = {1976},
	pages = {779--782}
}

@article{bourdin_numerical_2000-1,
	title = {Numerical experiments in revisited brittle fracture},
	volume = {48},
	issn = {0022-5096},
	url = {http://www.sciencedirect.com/science/article/pii/S0022509699000289},
	doi = {10.1016/S0022-5096(99)00028-9},
	abstract = {The numerical implementation of the model of brittle fracture developed in Francfort and Marigo (1998. J. Mech. Phys. Solids 46 (8), 1319–1342) is presented. Various computational methods based on variational approximations of the original functional are proposed. They are tested on several antiplanar and planar examples that are beyond the reach of the classical computational tools of fracture mechanics.},
	number = {4},
	urldate = {2014-10-23},
	journal = {Journal of the Mechanics and Physics of Solids},
	author = {Bourdin, B. and Francfort, G. A. and Marigo, J-J.},
	month = apr,
	year = {2000},
	keywords = {A. Fracture, C. Energy methods, Finite elements, Fracture toughness, Variational calculus},
	pages = {797--826},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/32WGQUHH/Bourdin et al. - 2000 - Numerical experiments in revisited brittle fractur.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7HPW92RM/S0022509699000289.html:text/html}
}

@article{chambolle_approximation_2004,
	title = {An approximation result for special functions with bounded deformation},
	journal = {Journal de mathématiques pures et appliquées},
	author = {Chambolle, A.},
	year = {2004}
}

@book{abrahams_building_2003,
	title = {Building {Hybrid} {Systems} with {Boost}.{Python}},
	author = {Abrahams, D.},
	year = {2003},
	note = {Published: www.boostpro.com/writing/bpl.pdfwww.boostpro.com/writing/bpl.pdf}
}

@book{belytschko_nonlinear_2000,
	address = {Chichester ; New York},
	title = {Nonlinear {Finite} {Elements} for {Continua} and {Structures}},
	isbn = {9780471987741},
	abstract = {Nonlinear Finite Elements for Continua and Structures Ted Belytschko, Wing Kam Liu, Brian Moran Northwestern University, Evanston, Illinois This book provides a comprehensive description of the major methodologies of nonlinear finite element analysis for solid mechanics, as applied to continua and structures. Treatment of the subject is integrated in such a way that the reader can gain an understanding of the fundamental methods, a feeling for the comparative usefulness of different approaches and an appreciation of the difficulties inherent in nonlinear analysis. In–depth coverage of the following is given: ∗ Lagrangian and arbitrary Lagrangian Eulerian treatments of continua ∗ many of the material laws used in today′s software and research ∗ solution methods, including explicit and implicit time integration methods and methods for equilibrium problems ∗ basic concepts such as stability and smoothness, and techniques such as linearization and regularization ∗ methods for shells and structures ∗ contact–impact problems ∗ element technology, including multi–field elements Ideal for self–study, no other book provides such a comprehensive description of nonlinear finite element analysis for solid mechanics. This is an invaluable reference not only for final year undergraduates, postgraduates, academics and engineers working on sophisticated finite element software and in the field of solid mechanics, but also for all users of nonlinear finite element programs.},
	language = {Anglais},
	publisher = {Wiley-Blackwell},
	author = {Belytschko, Ted},
	year = {2000},
	file = {Nonlinear Finite Element for Continua and Structures_Ted_Belytschko.djvu:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/3XSH2K2A/Nonlinear Finite Element for Continua and Structures_Ted_Belytschko.djvu:image/vnd.djvu}
}

@inproceedings{vioujard_galileo_2010,
	address = {Manchester UK},
	title = {{GALILEO}, {AREVA}'s {Advanced} {Fuel} {Rod} {Performance} {Code} and {Associated} {Realistic} {Methodology}},
	booktitle = {Proceedings of the {TOPFUEL} 2012 conference},
	author = {Vioujard, N. and Bessiron, V. and Garnier, Christophe and Georget, V. and Mailhé, P. and Barbier, B. and Deuble, D. and Landskron,, H. and Bellanger, P. and Arimescu, V.I.},
	year = {2010}
}

@article{reusch_local_2003,
	title = {Local and non-local {Gurson}-based ductile damage and failure modelling at large deformation},
	volume = {22},
	issn = {0997-7538},
	url = {http://www.sciencedirect.com/science/article/pii/S0997753803000706},
	doi = {10.1016/S0997-7538(03)00070-6},
	abstract = {The purpose of this work is the formulation, numerical implementation and initial application of a non-local extension of existing Gurson-based modelling for isotropic ductile damage and attendant crack growth. It is being carried out under the premise that void coalescence results not only in accelerated damage development (e.g., Needleman and Tvergaard, 1984), but also in damage delocalisation (i.e., via interaction between neighbouring Gurson RVE's). To this end, we proceed by analogy with the approach of Needleman and Tvergaard (1984) who replaced the Gurson void volume fraction f with a (local) effective damage parameter f∗ in the Gurson yield condition to account for the effect of void coalescence on the material behaviour. In the current case, the role of f∗ is taken over and generalised by an effective continuum damage field ν. A field relation for ν is formulated here in the framework of continuum thermodynamics. In the simplest case, the resulting relation is formally analogous to the inhomogeneous temperature equation in which void nucleation and growth represent (local) sources for ν and in which void coalescence takes place in a process zone whose dimension is determined by a characteristic material lengthscale. Analogous to temperature, then, ν represents an additional continuum degree-of-freedom here, resulting in a coupled deformation-damage field model. In the last part of the work, the complete model for coupled damage-deformation is implemented numerically using the finite-element method on the basis of backward-Euler integration and consistent linearisation. Using this implementation, the behaviour of the current extended Gurson-based damage model is investigated for the case of simple tension of an inhomogeneous steel block. In particular, the corresponding simulation results document quantitatively the dependence of the delocalisation of the model damage process and minimisation of mesh-dependence on the characteristic dimension of the damage process zone.},
	number = {6},
	urldate = {2015-05-04},
	journal = {European Journal of Mechanics - A/Solids},
	author = {Reusch, Frederick and Svendsen, Bob and Klingbeil, Dietmar},
	month = nov,
	year = {2003},
	keywords = {Gurson-based damage modelling, Non-local modelling, Thermodynamic formulation},
	pages = {779--792},
	file = {Reusch et al. - 2003 - Local and non-local Gurson-based ductile damage an.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7FQ6Q8JW/Reusch et al. - 2003 - Local and non-local Gurson-based ductile damage an.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/797XEIAB/S0997753803000706.html:text/html}
}

@phdthesis{blanc_modelisation_2009,
	title = {Modélisation du comportement thermomécanique des combustibles à particules par une approche multi-échelle},
	school = {Université de Provence},
	author = {Blanc, V.},
	year = {2009}
}

@techreport{peterson_crack_1981,
	title = {Crack growth and development of fracture zones in plain concrete and similar materials},
	institution = {Division of Building Materials - Lund Institute of Technology},
	author = {Peterson, P. E.},
	year = {1981}
}

@article{ballarini_finite_1990,
	title = {Finite element modelling of discontinuities with dilatancy and surface degradation},
	volume = {35},
	number = {1/2/3},
	journal = {Engineering Fracture Mechanics},
	author = {Ballarini, R. and Parulekar, A. and Plesha, M. E.},
	year = {1990},
	pages = {385--397}
}

@article{thomson_void_2003,
	title = {void coalescence within periodic clusters of particles},
	volume = {51},
	journal = {Journal of the Mechanics and Physics of Solids},
	author = {Thomson, C. I. A. and Worswick, M. J. and Pilnumber, A. K. and Loyd, D. J.},
	year = {2003},
	pages = {127--146}
}

@article{rockafellar_characterization_1966,
	title = {Characterization of the subdifferentials of convex functions},
	volume = {17},
	issn = {0030-8730, 0030-8730},
	url = {http://msp.org/pjm/1966/17-3/p08.xhtml},
	doi = {10.2140/pjm.1966.17.497},
	language = {en},
	number = {3},
	urldate = {2014-12-15},
	journal = {Pacific Journal of Mathematics},
	author = {Rockafellar, Ralph},
	month = jun,
	year = {1966},
	pages = {497--510},
	file = {Pacific Journal of Mathematics Vol. 17, No. 3, 1966:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/WPZ97D2V/p08.html:application/xhtml+xml;Rockafellar - 1966 - Characterization of the subdifferentials of convex.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/IEKBQZRR/Rockafellar - 1966 - Characterization of the subdifferentials of convex.pdf:application/pdf}
}

@misc{cea_site_2016,
	title = {Site {Cast}3M},
	url = {http://www-cast3m.cea.fr/},
	author = {CEA},
	year = {2016}
}

@techreport{pilvin_sidolo_2003,
	type = {Notice d’utilisation},
	title = {{SiDoLo} {Version} 2.4495},
	institution = {Laboratoire Génie Mécanique et Matériaux, Université de Bretagne Sud},
	author = {Pilvin, P.},
	year = {2003}
}

@article{abraham_molecular_1997,
	title = {A molecular dynamics investigation of rapid fracture mechanics},
	volume = {45},
	number = {9},
	journal = {J. Mech. Solids},
	author = {Abraham, F. F. and Brodbeck, D. and Rudge, W. En and Xu, X.},
	year = {1997},
	pages = {1595--1619}
}

@book{england_complex_2003,
	title = {complex variables methodes in elasticity},
	publisher = {Dover Publications},
	author = {England, A. H.},
	year = {2003}
}

@article{costanzo_study_1997,
	title = {A study of dynamic crack growth in elastic materials using a cohesive zone model},
	volume = {35},
	number = {12/13},
	journal = {Int. J. Engng. Sci.},
	author = {Costanzo, F. and Walton, J. R.},
	year = {1997},
	pages = {1085--1114}
}

@article{jirasek_embedded_2001-1,
	title = {Embedded crack model : part {II} : combinaison with smeared cracks},
	volume = {50},
	journal = {International Journal for Numerical Methods in Engineering},
	author = {Jirásek, M. and Zimmermann, T.},
	year = {2001},
	pages = {1291}
}

@book{_syfra_1991,
	title = {{SYFRA} {Livre} des connaissances du système {RNR}. {Conception} et dimensionnement de l aiguille et du faisceau combustibles. {Matériaux} de structure - {Acier} {Z}10CNDT15.15B (15/15/{Ti}) écroui, nuance {AIM}1},
	number = {91146},
	year = {1991},
	note = {indice 0}
}

@article{sharma_efficient_2014,
	title = {An efficient fifth order method for solving systems of nonlinear equations},
	volume = {67},
	issn = {0898-1221},
	url = {http://www.sciencedirect.com/science/article/pii/S0898122113006834},
	doi = {10.1016/j.camwa.2013.12.004},
	abstract = {In this paper, we present a three-step iterative method of convergence order five for solving systems of nonlinear equations. The methodology is based on the two-step Homeier’s method with cubic convergence (Homeier, 2004). Computational efficiency in its general form is discussed and a comparison between the efficiency of proposed technique and existing ones is made. The performance is tested through numerical examples. Moreover, theoretical results concerning order of convergence and computational efficiency are verified in the examples. It is shown that the present method has an edge over existing methods, particularly when applied to large systems of equations.},
	number = {3},
	urldate = {2014-08-21},
	journal = {Computers \& Mathematics with Applications},
	author = {Sharma, Janak Raj and Gupta, Puneet},
	month = feb,
	year = {2014},
	keywords = {Computational efficiency, Higher order methods, Newton’s method, Order of convergence, Systems of nonlinear equations},
	pages = {591--601},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/A63GFBU5/S0898122113006834.html:text/html;Sharma et Gupta - 2014 - An efficient fifth order method for solving system.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/KAPXTV82/Sharma et Gupta - 2014 - An efficient fifth order method for solving system.pdf:application/pdf}
}

@article{miehe_formulation_1998,
	title = {A formulation of finite elastoplasticity based on dual co- and contra-variant eigenvector triads normalized with respect to a plastic metric},
	volume = {159},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/S0045782597002739},
	doi = {10.1016/S0045-7825(97)00273-9},
	abstract = {The article presents a new formulation of isotropic elastoplasticity at large strains in both the Lagrangian and the Eulerian geometric setting and addresses aspects of its numerical implementation. The key ingredients on the theoretical side are the introduction of a plastic metric for the description of the local history-dependent inelastic material response, the definition of a convex elastic domain in the space of the local stress-like variable conjugate to the plastic metric, denoted as the plastic force, and a fully equivalent Lagrangian and Eulerian representation of all constitutive functions in spectral form for general non-Cartesian coordinate charts in terms of dual co- and contra-variant eigenvector triads which are normalized with respect to the plastic metric. On the numerical side, we propose a stress update algorithm for general non-associative isotropic elasto(visco)plastic response with an arbitrary number of scalar internal variables. The algorithm is based on an exponential map integrator and is recast into a general return mapping scheme, methodically organized with tensorial pre- and postprocessing and a constitutive box in the eigenvalue space. Furthermore, we propose a new perturbation stabilization technique which dramatically enhances the convergence of the general return algorithm. The theoretical and numerical developments are applied to a constitutive model problem with large elastic and large plastic strains: the von Mises-/Tresca-type associative plastic flow in Ogden-type large-strain elastic materials.},
	number = {3–4},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Miehe, Christian},
	month = jul,
	year = {1998},
	pages = {223--260},
	file = {1-s2.0-S0045782597002739-main.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/2EHECCIM/1-s2.0-S0045782597002739-main.pdf:application/pdf}
}

@phdthesis{retel_contribution_2002,
	title = {Contribution à la modélisation mécanique et numérique de l'interaction pastille-gaine dans les crayons combustible des réacteurs nucléaires},
	school = {U.F.R. des sciences et techniques de l'université de Franche-Comté},
	author = {Retel, V.},
	year = {2002}
}

@techreport{garcia_modelisation_2001,
	title = {modélisation mono-dimensionnelle du comportement mécanique du crayon combustible : spécifications physiques du problème},
	number = {99-2001},
	institution = {DEC/SESC/LSC},
	author = {Garcia, P. and Louche, V.},
	year = {2001}
}

@techreport{limon_proprietes_1997,
	title = {propriétés mécaniques et comportement sous irradiation du {Zircaloy}2 des combustibles à plaques - recommandation pour le code {ESUS}},
	number = {DMT 97/424 SEMI/LEMO 97/15},
	institution = {DMT/SEMI/LEMO},
	author = {Limon, R. and Ehretsmann, C.},
	year = {1997}
}

@techreport{proix_quelles_2014,
	type = {Compte-rendu de réunion},
	title = {Quelles lois de comportement de {Code}-{Aster} sont transposables en {Mfront} ?},
	number = {CR-AMA-14-080-B},
	institution = {EDF/R{\textbackslash}\&D/AMA/T64},
	author = {Proix, Jean-Michel},
	year = {2014}
}

@misc{salvo_etude_2014,
	title = {Etude expérimentale et modélisation du comportement mécanique du combustible {UO}2 en compression à haute température et forte vitesse de sollicitation},
	url = {http://www.theses.fr/s110654},
	abstract = {,},
	urldate = {2015-04-20},
	journal = {http://www.theses.fr},
	author = {Salvo, Maxime},
	month = dec,
	year = {2014},
	file = {Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/AFTWXBPC/s110654.html:text/html}
}

@techreport{vandenberghe_modeedgar_2011,
	address = {Saclay},
	type = {Note technique},
	title = {Modèle {EDGAR} {Zy}-4 {AFA}-2G hydruré à 600 ppm {H} : identification sur une base fluage et rampes et application aux essais premier pic},
	abstract = {Un premier modèle EDGAR avait été établi sur Zy-4 bas étain 600 ppm H à partir d’essais de fluage
dans le domaine alpha et dans le domaine biphasé puis appliqué à une première série d’essais de
rampes de température en 2006. Il ressortait de cette étude que le critère de rupture établi pour le fluage
n’était pas adéquat pour la simulation des rampes de température. Ce modèle ne comportait pas d’effet
premier pic identifié.
Depuis, la base de données d’essai de rampes sur Zy-4 600 ppm H a été largement complétée, et des
transitoires premiers pics ont été effectués.
Ces transitoires, ici présentés, ont montré, pour le matériau hydruré à 600 ppm H, un effet très faible
d’un premier pic de température sur le comportement ultérieur (de l’ordre de grandeur de la précision du
modèle sur la simulation des rampes). A la différence du Zy-4 AFA 2G vierge pour lequel l’existence
d’un effet 1er pic a bien été confirmée, il n’a donc pas été jugé utile d’identifier spécifiquement cet effet
pour le Zy-4 AFA-2G hydruré à 600 ppm H.
Le nouveau modèle mécanique (modèle « 2010 ») a été identifié en optimisant les coefficients obtenus
en 2001 (sur la base de fluage) sur la base des essais de rampes uniquement. Cette méthode a permis
d’obtenir un compromis entre une simulation des essais de rampes améliorée et une dégradation faible
de la qualité de la simulation des essais de fluage.
Le critère de rupture a été ré-identifié manuellement.
Le modèle métallurgique n’est pas modifié par rapport au modèle établi en 2001.
Il a été vérifié a posteriori que ce modèle simulait de façon satisfaisante les transitoires de type premier
pic.
Il en ressort donc :
- qu’un nouveau modèle mécanique a été identifié pour le Zy-4 600 ppm H,
- que l’effet premier pic est faible sur le matériau hydruré et ne nécessite pas d’être modélisé
           spécifiquement pour le matériau hydruré à 600 ppm H
- que cet effet premier pic est confirmé sur le matériau vierge, ce qui constitue une différence
    majeure entre les comportements des matériaux vierge et hydruré, et ce point devra être
      examiné avec attention dans la perspective d’un potentiel modèle mécanique EDGAR « toutes
           teneurs H » pour le Zy-4},
	language = {français},
	number = {NT 2010-3124 Indice A},
	institution = {CEA DEN/DMN/SRMA/LC2M},
	author = {Vandenberghe, V. and Lezaud-Chaillioux, V.},
	month = dec,
	year = {2011},
	file = {Vandenberghe et Lezaud-Chaillioux - 2011 - Modèle EDGAR Zy-4 AFA-2G hydruré à 600 ppm H  ide.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/8II54B4T/Vandenberghe et Lezaud-Chaillioux - 2011 - Modèle EDGAR Zy-4 AFA-2G hydruré à 600 ppm H  ide.pdf:application/pdf}
}

@misc{northwest_numerics_and_modeling_inc._zebulon_2014,
	title = {{ZeBuLoN}},
	url = {http://www.zset-software.com/products/zebulon/},
	author = {Northwest Numerics {and} Modeling, Inc.},
	year = {2014}
}

@incollection{siek_matrix_1998,
	title = {The matrix template library: {A} generic programming approach to high performance numerical linear algebra},
	booktitle = {Computing in {Object}-{Oriented} {Parallel} {Environments}},
	publisher = {Springer},
	author = {Siek, Jeremy G and Lumsdaine, Andrew},
	year = {1998},
	pages = {59--70}
}

@misc{cea_cast3m_2014,
	title = {Cast3M {Web} {Site}},
	url = {http://www-cast3m.cea.fr/},
	author = {CEA},
	year = {2014}
}

@misc{occelli_modelisation_2014,
	address = {Cadarache},
	type = {Soutenance de stage},
	title = {Modélisation de l’insertion de la barre de commande dans son fourreau de barre durant un séisme - {Méthodes} de raccord poutre massif},
	author = {Occelli, Matthieu},
	month = jan,
	year = {2014},
	file = {Presentation_Stage_video.pptx:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/V653UD5W/Presentation_Stage_video.pptx:application/vnd.openxmlformats-officedocument.presentationml.presentation}
}

@misc{soulacroix_approche_2014,
	type = {Soutenance de thèse},
	title = {Approche  {Micromécanique}  du {Comportement}  du  {Combustible} {Dioxyde}  d’{Uranium}},
	author = {Soulacroix, Julian},
	year = {2014},
	file = {Soulacroix - 2014 - Approche  Micromécanique  du Comportement  du  Com.pptx:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/4EJEXI29/Soulacroix - 2014 - Approche  Micromécanique  du Comportement  du  Com.pptx:application/vnd.openxmlformats-officedocument.presentationml.presentation}
}

@article{miehe_phase_????,
	title = {Phase field modeling of fracture in rubbery polymers. {Part} {I}: {Finite} elasticity coupled with brittle failure},
	issn = {0022-5096},
	url = {http://www.sciencedirect.com/science/article/pii/S0022509613001191},
	doi = {10.1016/j.jmps.2013.06.007},
	abstract = {Abstract
This work presents a new phase field model for rate-independent crack propagation in rubbery polymers at large strains and considers details of its numerical implementation. The approach accounts for micro-mechanically based features of both the elastic bulk response as well as the crack toughness of idealized polymer networks. The proposed diffusive crack modeling based on the introduction of a crack phase field overcomes difficulties associated with the computational realization of sharp crack discontinuities, in particular when it comes to complex crack topologies. The crack phase field governs a crack density function, which describes the macroscopic crack surface in the polymer per unit of the reference volume. It provides the basis for the constitutive modeling of a degrading free energy storage and a crack threshold function with a Griffith-type critical energy release rate, that governs the crack propagation in the polymer. Both the energy storage as well as the critical energy release due to fracture can be related to classical statistical network theories of polymers. The proposed framework of diffusive fracture in polymers is formulated in terms of a rate-type variational principle that determines the evolution of the coupled primary variable fields, i.e. the deformation field and the crack phase field. On the computational side, we outline a staggered solution procedure based on a one-pass operator split of the coupled equations, that successively updates in a typical time step the crack phase field and the displacement field. Such a solution algorithm is extremely robust, easy to implement and ideally suited for engineering problems. We finally demonstrate the performance of the phase field formulation of fracture at large strains by means of representative numerical examples.},
	number = {0},
	journal = {Journal of the Mechanics and Physics of Solids},
	author = {Miehe, Christian and Schänzel, Lisa-Marie},
	keywords = {Coupled multi-field problem, Finite strain, Fracture, Phase field modeling, Rubbery polymers}
}

@phdthesis{helfer_etude_2006,
	title = {Étude de l'impact de la fissuration des combustibles nucléaires oxyde sur le comportement normal et incidentel des crayons combustible},
	abstract = {Le travail de thèse porte sur la fissuration des pastilles combustible UO2 des réacteurs à eau pressurisée, et ses conséquences sur le comporte ment mécanique du crayon combustible. La fissuration conduit :
- d’une part, à une importante relaxation des contraintes dont dépendent la plupart des autres phénomènes mécaniques et physico-chimiques ;
- d’autre part, à la fragmentation de la pastille. Sa prise en compte est nécessaire pour une description correcte du chargement mécanique de la gaine au cours de l’irradiation.

L’approche locale de la rupture a été adoptée pour décrire la fissuration de la pastille. Des considérations pratiques nous ont amenés à privilégier une description quasi-statique de la fissuration du combustible à l’aide de modèles d’endommagement local. Ces modèles décrivent l’apparition de fissures par une perte de rigidité locale du matériau. Une telle description présente des difficultés de mise en œuvre, telles que des dépendancesdes résultats au maillage éléments finis et des évolutions discontinues de l’équilibre de la structure lors de propagations instables. Ces points ont fait l’objet d’une attention particulière car ils conditionnent l’utilisation de tels modèles dans les études combustibles.

Le travail effectué s’inscrit en support des différents schémas de cal-
culs du code ALCYONE développé au DEC/SESC au sein de la plateforme PLEIADES. Pour chacun de ces schémas, qui se différencient par les hypothèses de modélisation géométrique du crayon, nous avons proposé une modélisation des effets de la fissuration de la pastille.

La modélisation dite 2D axisymétrique du crayon combustible est la
 plus novatrice et a été de ce fait particulièrement étudiée. Nous montrons qu’elle est à même de rendre compte, grâce à une description appropriée de la fissuration du combustible, des principaux changements géométriques du crayon combustible intervenant en situation de fonctionnement normal ou incidentel.},
	school = {École Centrale de Lyon},
	author = {Helfer, Thomas},
	year = {2006},
	file = {Helfer - 2006 - Étude de l'impact de la fissuration des combustibl.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/ZFU8DX88/Helfer - 2006 - Étude de l'impact de la fissuration des combustibl.pdf:application/pdf}
}

@article{uwaba_development_2014,
	title = {Development of a mixed oxide fuel pin performance analysis code “{CEDAR}”: {Models} and analyses of fuel pin irradiation behavior},
	volume = {280},
	issn = {0029-5493},
	shorttitle = {Development of a mixed oxide fuel pin performance analysis code “{CEDAR}”},
	url = {http://www.sciencedirect.com/science/article/pii/S0029549314005494},
	doi = {10.1016/j.nucengdes.2014.08.032},
	abstract = {A deterministic computer code, CEDAR, has been developed to analyze the irradiation behaviors of mixed-oxide fuel pellet pins in sodium cooled fast breeder reactors. The finite element method was incorporated into the mechanical calculation segment of the code to enable the proper analysis of stress–strain status in the fuel pellet and cladding, and mechanical interaction between the fuel pellet and cladding (PCMI). The code features mechanistic analyses of the irradiation behaviors of fuel pins by integrating a number of models to analyze major irradiation phenomena, thus expressing actual fuel pin irradiation behaviors as accurately as possible. The analysis capabilities of the code were validated by calculations of fuel pellet temperatures, fractional fission gas releases of fuel pins and fuel pin cladding diametral strain profiles. Mechanisms of fuel pin irradiation behaviors such as redistribution of Americium, PCMI and joint oxide gain (JOG) formation were interpreted from code analyses for the actual irradiation test fuel pins.},
	urldate = {2014-12-04},
	journal = {Nuclear Engineering and Design},
	author = {Uwaba, Tomoyuki and Mizuno, Tomoyasu and Nemoto, Junichi and Ishitani, Ikuo and Ito, Masahiro},
	month = dec,
	year = {2014},
	pages = {27--36},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/QKK7HFUD/Uwaba et al. - 2014 - Development of a mixed oxide fuel pin performance .pdf:application/pdf}
}

@unpublished{borst_numerical_2003,
	title = {numerical aspects of cohesive-zone models},
	author = {Borst, R. de},
	year = {2003},
	note = {Engineering Fracture Mechanics}
}

@article{reynolds_creep_1973,
	title = {Creep {Fracture} {Processes} in {Uranium} {Dioxide}},
	volume = {23},
	journal = {Acta Metallurgica},
	author = {Reynolds, G. L. and Burton, B. and Speight, M. V.},
	year = {1973},
	pages = {573--577}
}

@techreport{verdau_fragmentation_2000,
	title = {Fragmentation du combustible de crayons rampés à {Osiris} : synthèse des résultats},
	number = {00-031/A},
	institution = {SEMI/LEMO/RT},
	author = {Verdau, C. and Hourdequin, N.},
	year = {2000}
}

@techreport{bonhomme_prise_2010,
	title = {Prise en charge des lois comportement mécanique dans base de données physique {\textbackslash}sirius : conception et spécification du développement logiciel},
	number = {10 - 050},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Bonhomme, C.},
	year = {2010}
}

@inproceedings{han_micromechanical_2012,
	address = {Paris},
	title = {A micromechanical modeling for irradiated austenitic stainless steels},
	booktitle = {{IUTAM} {Symposium} on {Advanced} {Materials} {Modelling} for {Structures}},
	author = {Han, Xu and Tanguy, Benoît and Besson, Jacques and Forest, Samuel},
	month = apr,
	year = {2012}
}

@techreport{edf_macro-commande_2013,
	type = {Référence du {Code} {Aster}},
	title = {Macro-commande {SIMU}\_POINT\_MAT},
	url = {http://www.code-aster.org},
	number = {U4.51.12 révision 9069},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	month = apr,
	year = {2013}
}

@article{guinea_initial_1997,
	title = {on the initial shape of the softening function of cohesive materials},
	volume = {87},
	journal = {International Journal of Fracture},
	author = {Guinea, G. V. and Elices, M. and Planas, J.},
	year = {1997},
	pages = {139--149}
}

@techreport{castelier_extension_2005,
	title = {Extension en deux dimensions du modèle {Mefisto} : étude numérique et premiers résultats de l'application {Alcyone}2D},
	number = {???},
	institution = {CEA DEN/DEC/SESC/LLCC},
	author = {Castelier, Étienne and Helfer, Thomas and Garcia, Philippe and Plancq, David},
	year = {2005}
}

@techreport{helfer_actions_2014,
	address = {Cadarache},
	type = {Compte-rendu de réunion},
	title = {Actions 2014 pour l'amélioration de l'utilisation de {MFront} dans {Cyrano}},
	number = {14-004},
	institution = {DEC/SEC/LSC},
	author = {Helfer, Thomas},
	month = jan,
	year = {2014},
	file = {CRR 14-004 - MFRONT DANS CYRANO.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7AZXTIXA/CRR 14-004 - MFRONT DANS CYRANO.pdf:application/pdf}
}

@article{smith_effective_????,
	title = {Effective {Method} for {Fitting} {Complex} {Constitutive} {Equations}},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S074964191400014X},
	doi = {10.1016/j.ijplas.2014.01.005},
	abstract = {The formability of advanced high strength steels (AHSS) depends on the temperature-sensitivity of strength and strain hardening at large strain (∼0.4-0.5), in addition to traditionally-measured attributes such as isothermal strain hardening and strain-rate sensitivity. As such additional dimensions are incorporated into a constitutive model, it becomes progressively more complex and challenging to fit uniquely without invoking unrealistic numbers of fitting attempts starting from myriad sets of trial parameters. For 8-parameter constitutive equations similar to the ones investigated here, the literature reports fitting with 28 (256) starting sets of trial parameters, requiring 256 nonlinear optimizations using special programming, thus making such procedures impractical for many applications. An efficient, effective method requiring only 3 optimizations was proposed, developed, and confirmed for a diverse range of AHSS: DP590, DP780, DP980, TRIP780, CP1180 and TWIP. These alloys represent a wide range of hardening mechanisms, tensile elongations (0.05 to 0.5) and tensile strengths (590 to 1180 MPa). All results were derived from standard tensile tests, yet the extrapolated stresses of the constitutive models fit with the new method were confirmed independently within approximately 1\% standard deviation by balanced-biaxial bulge experiments at strains up to 6 times larger than the tensile range used to generate the constitutive models. Such accuracy at large strains is crucial for predicting the “shear fracture” of AHSS in practice. The final constitutive equations and parameters obtained using the new method are presented for each alloy, including a new form for TWIP steel.},
	urldate = {2014-03-10},
	journal = {International Journal of Plasticity},
	author = {Smith, A. and Chen, Z. and Lee, J. Y. and Lee, M. G. and Wagoner, R. H.},
	keywords = {Advanced High Strength Steel (AHSS), Constitutive Equations, Dual-Phase (DP) steel, Transformation-Induced Plasticity (TRIP) Steel, Twinning-Induced Plasticity (TWIP) Steel},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/WKW6CA4Z/S074964191400014X.html:text/html;Smith et al. - Effective Method for Fitting Complex Constitutive .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/6TEDCMK5/Smith et al. - Effective Method for Fitting Complex Constitutive .pdf:application/pdf}
}

@techreport{castelier_ajustement_2009,
	type = {Note technique},
	title = {Ajustement d'un modèle élastique non linéaire sur un composite {SiC}/{SiC}},
	number = {09-040},
	institution = {NT/SESC/LSC},
	author = {Castelier, Étienne},
	year = {2009}
}

@techreport{jaecki_image_2010,
	title = {Image préliminaire de l'assemblage combustible {CFV}},
	number = {NT 10-017},
	institution = {DEN/CAD/DEC/SESC/LC2I},
	author = {Jaecki, P. and Mailhe, G.},
	month = nov,
	year = {2010}
}

@inproceedings{besson_application_2004,
	series = {Colloque national {Mecamat}},
	title = {Application de l'approche locale de la rupture à la simulation de la fissuration des structures : problèmes numériques liés à l'existence d'une longueur interne},
	booktitle = {Mécanismes et mécanique des matériaux et structures à longueur interne : comportement et effet d'échelle},
	author = {Besson, J.},
	month = jan,
	year = {2004},
	pages = {206--214}
}

@techreport{castelier_elaboration_2009,
	title = {Élaboration de coefficients homogènes pour modéliser les plaques {RCG} dans le code {\textbackslash}textttcathare},
	number = {09-0005},
	institution = {DEC/SESC/LSC},
	author = {Castelier, Étienne},
	year = {2009}
}

@techreport{monerie_modecomportement_2002,
	title = {Modèle de comportement viscoplastique de l'{UO}2 vierge},
	number = {01-0008},
	institution = {DEC/SESC/LLCC},
	author = {Monerie, Y. and Gatt, J.-M.},
	month = jan,
	year = {2002}
}

@techreport{sidoroff_cours_1982,
	address = {Sophia-Antipolis},
	type = {Rapport {GRECO}},
	title = {Cours sur les grandes transformations},
	url = {http://perso.ec-lyon.fr/francois.sidoroff/coursGD/EcEte.html},
	number = {51/1982},
	institution = {CNRS},
	author = {Sidoroff, François},
	month = sep,
	year = {1982},
	file = {Sidoroff - 1982 - Cours sur les grandes transformations.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/D2MJC4DE/Sidoroff - 1982 - Cours sur les grandes transformations.pdf:application/pdf}
}

@article{lorentz_gradient_2011,
	title = {Gradient damage models: {Toward} full-scale computations},
	volume = {200},
	issn = {0045-7825},
	shorttitle = {Gradient damage models},
	url = {http://www.sciencedirect.com/science/article/pii/S0045782510001921},
	doi = {10.1016/j.cma.2010.06.025},
	abstract = {The description of localisation and structural failure through local damage constitutive laws leads to ill-posed problems. To retrieve a well-posed problem, the material state is described through the gradients of damage in addition to the strain and the damage. Under some assumptions, it is shown that these gradient laws can be cast into a variational formulation. Its numerical treatment is reduced to the design of a mixed finite element so that algorithms such as Newton’s method and path-following techniques are still available. Possible convergence difficulties related to the reduction of the damage band width and the appearance of micro instabilities are removed thanks to the design of a new class of brittle laws. Finally, numerical applications show the convergence with mesh refinement, the compatibility with coarser approaches such as Griffith’s theory and cohesive crack models, the robustness in case of unstable multi-cracking, the applicability to full-scale 3D situations and the physical relevance compared to experimental data.},
	number = {21–22},
	urldate = {2014-10-01},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Lorentz, E. and Godard, V.},
	month = may,
	year = {2011},
	keywords = {Augmented lagrangian, Damage, Gradient constitutive laws, Strain-softening, Variational formulation},
	pages = {1927--1944},
	file = {Lorentz et Godard - 2011 - Gradient damage models Toward full-scale computat.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/ZUC72P4K/Lorentz et Godard - 2011 - Gradient damage models Toward full-scale computat.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/PQWWUUM4/S0045782510001921.html:text/html}
}

@book{_note_2006-1,
	title = {Note de fonctionnement du processus \${R}1\$ du {DEC}},
	number = {DEC R1 DEC NF01},
	year = {2006}
}

@article{lorentz_analysis_2003-1,
	title = {Analysis of non-local models through energetic formulations},
	volume = {40},
	issn = {0020-7683},
	url = {http://www.sciencedirect.com/science/article/pii/S0020768303001100},
	doi = {10.1016/S0020-7683(03)00110-0},
	abstract = {Non-local formulations have been intensively applied for the past 20 years to control the strain localisation resulting from strain-softening constitutive laws. We propose a framework that encompasses most of these non-local approaches. It relies on an energetic interpretation of both equilibrium equations and constitutive relations for generalised standard materials. It allows a systematic exploration of the properties of these models. We focus here on three aspects: the existence of solutions when applied to strain-hardening laws, the effective localisation control when applied to strain-softening laws and the thermodynamic bases.

A quite extended analysis is led under some assumptions, the more restrictive being that all the internal variables are dealt with the same regularising operator. It appears that only few approaches bring effective regularisation. Unfortunately, they do not rely on thermodynamic bases so that the Clausius–Duhem inequality is not automatically fulfilled. An alternative consists in giving up the assumptions of the analysis. In that case, it seems that no general result can be stated. Moreover, an illustration in the context of brittle damage shows that slightly different formulations can result in strongly differentiated behaviour, even though some specific choices lead nevertheless to a suitable model.},
	number = {12},
	urldate = {2014-09-30},
	journal = {International Journal of Solids and Structures},
	author = {Lorentz, E. and Andrieux, S.},
	month = jun,
	year = {2003},
	keywords = {Constitutive law, Damage, Energy method, Localisation, Non-local model, Regularisation, Variational principle},
	pages = {2905--2936},
	file = {Lorentz et Andrieux - 2003 - Analysis of non-local models through energetic for.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/6J2GGBX5/Lorentz et Andrieux - 2003 - Analysis of non-local models through energetic for.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/8GTVHG4Z/S0020768303001100.html:text/html}
}

@book{zebulon_z-set_2000-2,
	title = {Z-set {User} {Commands}},
	author = {Zebulon},
	year = {2000}
}

@techreport{stepanov_standard_1994,
	title = {The standard template library},
	abstract = {Copyright (c) 1994 Hewlett-Packard Company},
	institution = {WG21/N0482, ISO Programming Language C++ Project},
	author = {Stepanov, Alexander and Lee, Meng},
	year = {1994},
	file = {Citeseer - Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/NJNZ8GCH/summary.html:text/html;Stepanov et Lee - 1994 - The standard template library.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/PDNUABNG/Stepanov et Lee - 1994 - The standard template library.pdf:application/pdf}
}

@techreport{michel_document_2011,
	title = {Document programme concerté du comité technique et thématique combustible},
	number = {DEC/SESC/LSC 11-018},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Michel, B. and Paret, L. and Pelletier, M.},
	year = {2011}
}

@techreport{godard_modelisation_2003,
	type = {Manuel de référence {Code} {Aster}},
	title = {modélisation non locale à gradient de déformation},
	url = {http://www.code-aster.org},
	number = {R5.04.02-A},
	institution = {EDF-R\&D/AMA},
	author = {Godard, Vincent},
	month = jan,
	year = {2003}
}

@techreport{garcia_perspectives_1996,
	title = {perspectives de développement du logiciel {GERMINAL}2/{METEOR}},
	number = {95 2040 Indice 1},
	institution = {SDC/LEMC},
	author = {Garcia, P.},
	month = mar,
	year = {1996}
}

@inproceedings{driesen_direct_1996,
	title = {The direct cost of virtual function calls in {C}++},
	volume = {31},
	booktitle = {{ACM} {Sigplan} {Notices}},
	author = {Driesen, Karel and Hölzle, Urs},
	year = {1996},
	pages = {306--323}
}

@book{babin_mecanismes_2004,
	title = {mécanismes et mécanique des matériaux et structures à longueur interne : comportement et effets d'échelles},
	editor = {Babin, P. and Dendievel, R. and Forest, S. and Ganghoffer, J. F. and Zeghadi, A. and Zoberman, M. H.},
	month = jan,
	year = {2004}
}

@inproceedings{abe_revisiting_2013,
	address = {Charlotte, NC, USA},
	title = {Revisiting {Stainless} {Steel} as {PWR} {Fuel} {Rod} {Cladding} {After} {Fukushima} {Daiichi} {Accident}},
	abstract = {The immediate cause of the March 2011 accident at
Fukushima Daiichi nuclear power plant was the melting
of the reactor core. During this process, the zirconium of
the fuel cladding reacted with the water, producing a
large amount of hydrogen. This hydrogen, combined with
the volatile radioactive materials, leaked out of the
containment vessels and entered into the reactor
buildings, resulting in explosions. In the past, stainless
steel was utilized as cladding in many pressurized water
reactors (PWRs), and its performance under irradiation
was excellent. However, stainless steel was replaced by
zirconium-based alloy as cladding material mainly due to
its lower neutron absorption cross section. Now, stainless
steel cladding appears as a possible solution for safety
problems related to hydrogen production and explosion.
The aim of this paper is to discuss the steady-state
irradiation performance using stainless steel as cladding.
The results show that stainless steel rods display higher
fuel temperatures and wider pellet-cladding gaps than
Zircaloy rods and no gap closure. The thermal
performance of the two rods is very similar and the
neutron absorption penalty due to stainless steel use
could be compensating by combining small increase in U-
235 enrichment and pitch size changes},
	booktitle = {{lWR} {Fuel} {Performance} {Meeting}},
	publisher = {American Nuclear Society},
	author = {Abe, Alfredo and Giovedi, Claudia and Souza Gomes, Daniel and Teixeira e Silva, Antonio},
	month = sep,
	year = {2013},
	file = {Abe et al. - 2013 - Revisiting Stainless Steel as PWR Fuel Rod Claddin.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/K3M7J4IM/Abe et al. - 2013 - Revisiting Stainless Steel as PWR Fuel Rod Claddin.pdf:application/pdf}
}

@incollection{feyel_cohesive_2004,
	title = {Cohesive zone models},
	booktitle = {Local approach to fracture},
	publisher = {École des Mines de Paris - les presses},
	author = {Feyel, F.},
	editor = {Besson, J.},
	year = {2004},
	pages = {265--277}
}

@phdthesis{menibus_formation_2012,
	title = {Formation de blisters d'hydrures et effet sur la rupture de gaines en {Zircaloy}-4 en conditions d'accident d'injection de réactivité},
	url = {http://pastel.archives-ouvertes.fr/pastel-00818358},
	abstract = {Ce travail vise à étudier la rupture du gainage avec des essais mécaniques plus représentatifs des conditions RIA, en prenant en compte les blisters d'hydrures ainsi que le niveau élevé de biaxialité du chargement mécanique et des vitesses de déformation. Nous avons formé par thermodiffusion en laboratoire des blisters similaires à ceux observés sur des gaines de Zircaloy-4 irradiées en réacteur. Les caractérisations par métallographie, nanodureté, DRX et ERDA ont montré qu'un blister est constitué d'hydrures delta dont la concentration dans la matrice varie entre 80\% et 100\%, et que la matrice sous-jacente contient des hydrures radiaux. Nous avons modélisé la cinétique de croissance des blisters avec l'hystérésis de la limite de solubilité de l'hydrogène,puis défini le gradient thermique seuil permettant leur formation. Notre étude sur le comportement dilatométrique du zirconium hydruré montre le rôle important de la texture cristallographique du matériau, ce qui peut expliquer des différences de morphologie des blisters. En parallèle, des essais suivis par caméra infrarouge ont montré que des vitesses de déformation supérieures à 0,1/s induisent des échauffements locaux importants qui favorisent la localisation précoce de la déformation. Enfin, nous avons optimisé l'essai d'Expansion Due to Compression pour atteindre un niveau de biaxialité de déformation plane (essais HB-EDC et VHB-EDC), ce qui réduit fortement la déformation à rupture à 25°C et 350°C, mais seulement en l'absence de blisters. Un critère de rupture est proposé pour rendre compte de la baisse de ductilité des gaines en Zircaloy-4 non irradiées en présence de blisters.},
	urldate = {2014-06-30},
	school = {Ecole Nationale Supérieure des Mines de Paris},
	author = {Menibus, Arthur Hellouin De},
	month = dec,
	year = {2012},
	keywords = {Dissipation du travail plastique, Hydrogène et blister d'hydrures, Ria, Taux de biaxialité, Thermodiffusion, Zircaloy-4},
	file = {Menibus - 2012 - Formation de blisters d'hydrures et effet sur la r.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/AGWZVXHX/Menibus - 2012 - Formation de blisters d'hydrures et effet sur la r.pdf:application/pdf}
}

@book{neto_computational_2008,
	address = {Chichester, West Sussex, UK},
	title = {Computational methods for plasticity: theory and applications},
	isbn = {9780470694527  0470694521  9780470694626 0470694629},
	shorttitle = {Computational methods for plasticity},
	abstract = {"Computational Methods for Plasticity: Theory and Applications describes the theory of the associated numerical methods for the simulation of a wide range of plastic engineering materials; from the simplest infinitesimal plasticity theory to more complex damage mechanics and finite strain crystal plasticity models. It is split into three parts - basic concepts, small strains and large strains. Beginning with elementary theory and progressing to advanced, complex theory and computer implementation, it is suitable for use at both introductory and advanced levels." "This comprehensive text will appeal to postgraduate and graduate students of civil, mechanical, aerospace and materials engineering as well as applied mathematics and courses with computational mechanics components. It will also be of interest to research engineers, scientists and software developers working in the field of computational solid mechanics."--BOOK JACKET.},
	language = {English},
	publisher = {Wiley},
	author = {Neto, Perić, Djordje, E. A. de Souza and Owen, D. R. J},
	year = {2008}
}

@article{besson_modeling_2013,
	title = {Modeling flat to slant fracture transition using the computational cell methodology},
	volume = {104},
	issn = {0013-7944},
	url = {http://www.sciencedirect.com/science/article/pii/S0013794413000830},
	doi = {10.1016/j.engfracmech.2013.02.032},
	abstract = {Macroscopic mode I ductile crack propagation in metallic sheets or plates often starts in mode I as a flat triangle (coplanar with the precrack) whose normal corresponds to the loading direction. After some limited extension, the crack becomes slanted and propagates under local mixed mode I/III. Modeling and understanding this phenomenon is challenging. In this work, the “computational cell” methodology proposed in [1], which uses a predefined crack path, is used to study flat to slant fracture transition. The energy dissipation rate is studied as a function of the assumed crack tilt angle. It is shown that a minimum is always reached for an angle equal to 45°. This correlates well with the variation of the crack tip opening angle (CTOA) or the mean plastic deformation along the crack path. Stress and strain states in the stable tearing region hardly depend on the assumed tilt angle. A parametric study shows that flat to slant fracture transition is less likely to occur in materials having high work hardening and favored if additional damage is caused by the local stress/strain state (plane strain, low Lode parameter) in the stable tearing region.},
	urldate = {2015-07-15},
	journal = {Engineering Fracture Mechanics},
	author = {Besson, J. and McCowan, C. N. and Drexler, E. S.},
	month = may,
	year = {2013},
	keywords = {CTOA specimen, Ductile rupture, Slant fracture, X100 steel},
	pages = {80--95},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/8W24WIVC/Besson et al. - 2013 - Modeling flat to slant fracture transition using t.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/9P3PHV3T/S0013794413000830.html:text/html}
}

@article{miehe_micro-macro_2004,
	title = {A micro-macro approach to rubber-like materials—{Part} {I}: the non-affine micro-sphere model of rubber elasticity},
	volume = {52},
	issn = {0022-5096},
	url = {http://www.sciencedirect.com/science/article/pii/S0022509604000808},
	doi = {10.1016/j.jmps.2004.03.011},
	abstract = {The contribution presents a new micro-mechanically based network model for the description of the elastic response of rubbery polymers at large strains and considers details of its numerical implementation. The approach models a rubber-like material based on a micro-structure that can be symbolized by a micro-sphere where the surface represents a continuous distribution of chain orientations in space. Core of the model is a new two-dimensional constitutive setting of the micro-mechanical response of a single polymer chain in a constrained environment defined by two micro-kinematic variables: the stretch of the chain and the contraction of the cross section of a micro-tube that contains the chain. The second key feature is a new non-affine micro-to-macro transition that defines the three-dimensional overall response of the polymer network based on a characteristic homogenization procedure of micro-variables defined on the micro-sphere of space orientations. It determines a stretch fluctuation field on the micro-sphere by a principle of minimum averaged free energy and links the two micro-kinematic variables in a non-affine format to the line-stretch and the area-stretch of the macro-continuum. Hence, the new model describes two superimposed contributions resulting from free chain motions and their topological constraints in an attractive dual geometric structure on both the micro- and the macro-level. Averaging operations on the micro-sphere are directly evaluated by an efficient numerical integration scheme. The overall model contains five effective material parameters obtained from the single chain statistics and properties of the network with clearly identifiable relationships to characteristic phenomena observed in stress–strain experiments. The approach advances features of the affine full network and the eight chain models by a substantial improvement of their modeling capacity. The excellent predictive performance is illustrated by comparative studies with previously developed network models and by fitting of various available experimental data of homogeneous and non-homogeneous tests.},
	number = {11},
	journal = {Journal of the Mechanics and Physics of Solids},
	author = {Miehe, C. and Göktepe, S. and Lulei, F.},
	month = nov,
	year = {2004},
	keywords = {Experiments, Micromechanics, Network models, Rubber elasticity, Simulations},
	pages = {2617--2660}
}

@article{hjiaj_materiaux_2000,
	title = {Matériaux viscoplastiques et lois de normalité implicites},
	volume = {328},
	issn = {1620-7742},
	url = {http://www.sciencedirect.com/science/article/pii/S1620774200000076},
	doi = {10.1016/S1620-7742(00)00007-6},
	abstract = {Résumé
Un certain nombre de matériaux auxquels l'ingénieur est confronté en pratique ne s'intègrent pas dans le cadre des matériaux standard généralisés (MSG) pour lesquels des algorithmes performants existent. Les lois de comportement des géomatériaux en sont une illustration typique. Cependant, ils ne sont pas les seuls. Par exemple, le comportement des métaux sous chargement cyclique est correctement décrit à l'aide de lois (visco-)plastiques non standard. Les bonnes propriétés des MSG découlent de la loi de normalité et de la convexité du pseudo-potentiel associé. Le concept de bi-potentiel, introduit par de Saxcé, généralise celui de pseudo-potentiel et permet d'écrire les lois d'évolution de certains matériaux non standard sous la forme de lois de normalité implicites. Ces matériaux appartiennent à la classe des matériaux standard implicites (MSI), dont la classe des MSG est un sous-ensemble. L'objet de la présente note est de montrer que le modèle de viscoplasticité cyclique à écrouissage cinématique non linéaire de Chaboche et al. fait partie de cette classe de matériaux.

Some materials interesting for engineering applications do not come with scope of generalized standard material (GSM) class for which efficient and robust algorithms are available. Typical examples are constitutive laws of geomaterials. Nevertheless, they are not the only ones. For instance, laws describing the behaviour of metals under cyclic loading which are accurately approached by non standard (visco-)plastic laws. The good properties of GSM result from the generalized normality rule and the convexity of the associated pseudo-potential. The concept of bi-potential, introduced by de Saxcé, extends the notion of pseudo-potential and enables to write the evolution laws as implicit normality rules. These materials belong to the implicit standard material (ISM) class, of which the GSM class is a subset. The aim of this paper is to show that the viscoplastic model with non-linear kinematic hardening proposed by Chaboche et al. belongs to this class of materials.},
	number = {7},
	urldate = {2014-12-08},
	journal = {Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics},
	author = {Hjiaj, Mohammed and Bodovillé, Guillaume and de Saxcé, Géry},
	month = jul,
	year = {2000},
	keywords = {bi-potential, bi-potentiel, constitutive laws, écrouissage cinématique non linéaire, implicit standard material, lois de comportement, matériau standard implicite, mécanique des matériaux, mechanics of materials, nonlinear kinematic hardening, viscoplasticité, Viscoplasticity},
	pages = {519--524},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7EJZKTF7/Hjiaj et al. - 2000 - Matériaux viscoplastiques et lois de normalité imp.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/3R3ZSNGH/S1620774200000076.html:text/html}
}

@book{bejan_heat_1993,
	title = {Heat transfer},
	publisher = {John Wiley \& Sons},
	author = {Bejan, J.},
	year = {1993}
}

@misc{han_implantation_2010,
	title = {Implantation en grandes transformations d'une loi cristalline pour un matériau {CFC} à haute température : rapport pour la réunion d'avancement de la thèse},
	abstract = {Dans le cadre du projet de thèse de la modélisation de la fragilisation due au gonflement dans les aciers inoxydables austénitiques irradiés, afin d'étudier l'effet du gonflement sur les propriétés mécaniques à l'échelle macroscopique de ces matériaux, il est nécessaire de fournir une modélisation numérique par la méthode des éléments finis d'une loi cristalline en grandes transformations en tenant compte de l'évolution
microstructurale des densités de dislocations et des défauts d'irradiation, en fonction de la température et de la dose d'irradiation.

L'implantation de cette loi cristalline dans le code de calcul par éléments finis ZéBuLoN doit atteindre nos exigences :
- Robustesse et exactitude des calculs,
- Efficacité des calculs,
- Compatibilité avec les applications aux monocristallins poreux et aux
calculs polycristallins.},
	author = {Han, Xu},
	month = jul,
	year = {2010},
	file = {Suivi_these_HAN_Xu_ENSMP_2.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7EFDFCQ4/Suivi_these_HAN_Xu_ENSMP_2.pdf:application/pdf}
}

@unpublished{acanfora_quasi-static_2000,
	title = {quasi-static growth of brittle cracks in a linearly elastic flexural plate},
	author = {Acanfora, F. and Ponsiglione, M.},
	year = {2000},
	note = {http://cvgmt.sns.it/papers/acapon/piastra2.pdfhttp://cvgmt.sns.it/papers/acapon/piastra2.pdf}
}

@techreport{auclair_irradiation_2009,
	type = {Compte rendu de faisabilité},
	title = {Irradiation {DIAMINO}, étude de faisabilité},
	number = {CR/1847},
	institution = {CEA DRSN/SIREN},
	author = {Auclair, M.},
	month = nov,
	year = {2009}
}

@article{shamsaei_multiaxial_2011,
	title = {Multiaxial fatigue evaluation using discriminating strain paths},
	volume = {33},
	number = {597–609},
	journal = {International Journal of Fatigue},
	author = {Shamsaei, N. and Fatemi, A. and Socie, D.F.},
	year = {2011}
}

@misc{hure_quelques_2014,
	address = {Paris, France},
	title = {Quelques exemples d’utilisation de lois de comportement en grandes déformations générées avec l’outil {MFront}},
	author = {Hure, Jérémy and Callahan, Mike and Ling, Chao and Tanguy, Benoît and Helfer, Thomas},
	month = nov,
	year = {2014},
	file = {Hure et al. - 2014 - Quelques exemples d’utilisation de lois de comport.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/ESANWI6U/Hure et al. - 2014 - Quelques exemples d’utilisation de lois de comport.pdf:application/pdf}
}

@techreport{renaud_analyse_2011,
	type = {rapport de stage d'immersion},
	title = {Analyse du comportement thermomécanique d'un élément combustible à gainage multi-couches, dans le cadre d'une étude de prédimensionnement pour la filière {REP}},
	institution = {École Nationale Supérieure de Mécanique et des Microstechniques},
	author = {Renaud, C.},
	year = {2011}
}

@techreport{zabiego_analyse_2011,
	type = {Note technique},
	title = {Analyse, synthèse comparative et apports multifilières des études de conception et de dimensionnement réalisées sur les éléments combustibles à géometrie "plaque macrostructurée" et "aiguille" pour filiere {RNR}-{G}},
	number = {11 - 004},
	institution = {DEC/SESC/LC2I},
	author = {Zabiego, Maxime and Bruno, Éric and Helfer, Thomas and Pelletier, Michel and Castelier, Étienne and Marelle, Vincent},
	year = {2011}
}

@article{lubliner_thermodynamic_1972,
	title = {on the thermodynamic foundations of non-linear solid mechanics},
	volume = {7},
	journal = {Int. J. Non-Linear Mechanics},
	author = {Lubliner, J.},
	year = {1972},
	pages = {237--254}
}

@techreport{helfer_description_2005,
	title = {Description et extension du modèle d'endommagement {\textbackslash}protect {\textbackslash}tt {Mefisto}},
	number = {05-004},
	institution = {DEC/SESC/LLCC},
	author = {Helfer, Thomas},
	month = jan,
	year = {2005}
}

@article{helfer_licos_2015,
	title = {Licos, a fuel performance code for innovative fuel elements or experimental devices design},
	journal = {Nuclear Engineering and Design},
	author = {Helfer, Thomas and Bejaoui, Syriac and Michel, Bruno},
	year = {2015},
	note = {Under review}
}

@techreport{blay_examen_2001,
	title = {Examen au meb d'une fractographie du crayon mox mimas auc fxpoot n12 irradié 4 cycles dans gravelines 4},
	number = {01-062},
	institution = {DEC/S3C/LECMI},
	author = {Blay, T. and Noirot, J.},
	year = {2001}
}

@techreport{bouhamou_pleiades_2010,
	title = {Pleiades {V}1.4 données d exploitation, note de version},
	number = {10 - 016},
	institution = {DEC/SESC/LSC},
	author = {Bouhamou, N. and Bernaud, S.},
	year = {2010}
}

@techreport{conchon_dossier_2005,
	title = {dossier de synthèse de la conception du combustible à plaquettes d'oxyde d'uranium. {Fabrications} des plaques},
	number = {TA-269776 Ind. ACD (CACS 2005-163)},
	institution = {Technicatome},
	author = {Conchon, L.},
	year = {2005}
}

@article{salvo_experimental_2015,
	title = {Experimental characterization and modeling of {UO}2 grain boundary cracking at high temperatures and high strain rates},
	volume = {460},
	issn = {0022-3115},
	url = {http://www.sciencedirect.com/science/article/pii/S0022311515001130},
	doi = {10.1016/j.jnucmat.2015.02.018},
	abstract = {In this paper, the behavior of a dense UO2 (porosity less than 2\%) was studied experimentally on a range of temperatures (1100–1700 °C) and strain rates ( 10 - 4 – 10 - 1 /s) representative of RIA loading conditions. The yield stress was found to increase with strain rate and to decrease with temperature. Macroscopic cracking of the samples was apparent after the tests at 1100 °C. Scanning Electron Microscopy (SEM) image analyses revealed a pronounced grain boundary cracking in the core of the samples tested at 10 - 1 /s and at 1550–1700 °C. A hyperbolic sine model for the viscoplastic strain rate with a clear dependency on porosity was first developed. It was completed by a Drucker–Prager yield criterion with associated plastic flow to account for the porosity increase induced by grain boundary cracking. Finite Elements simulations of the compression tests on the dense UO2 were then successfully compared to the stress–strain curves, post-test diameter profiles and porosities at the pellets’ center, periphery and top extremity. The response of the grain boundary cracking model was then studied in biaxial compression, this condition being closer to that of the pellet during a RIA power transient.},
	urldate = {2015-07-21},
	journal = {Journal of Nuclear Materials},
	author = {Salvo, Maxime and Sercombe, Jérôme and Helfer, Thomas and Sornay, Philippe and Désoyer, Thierry},
	month = may,
	year = {2015},
	pages = {184--199},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/SMDCKH3H/Salvo et al. - 2015 - Experimental characterization and modeling of UO2 .pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/2V4XVX7C/S0022311515001130.html:text/html}
}

@inproceedings{jarvi_concept-controlled_2003,
	title = {Concept-{Controlled} {Polymorphism}},
	abstract = {Concepts -- sets of abstractions related by common requirements --  have a central role in generic programming. This paper proposes a general framework  for using concepts to control polymorphism in different ways. First, concepts  can be used to constrain parametric polymorphism, as exemplified by type  classes in Haskell. Second, concepts can be used to provide fine-grained control  of function and operator overloading. Finally, generic functions can be overloaded  (specialized) based on concepts, rather than simply on types. We describe  aC ++ implementation of a new mechanism, which we call enable if , and its role  in concept-controlled polymorphism.},
	booktitle = {In {Frank} {Pfennig} and {Yannis} {Smaragdakis}, editors, {Generative} {Programming} and {Component} {Engineering}, volume 2830 of {LNCS}},
	publisher = {Springer Verlag},
	author = {Järvi, Jaakko and Willcock, Jeremiah and Lumsdaine, Andrew},
	year = {2003},
	pages = {228--244},
	file = {Citeseer - Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/QDQ4RANB/summary.html:text/html;Järvi et al. - 2003 - Concept-Controlled Polymorphism.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/ZU8396Z2/Järvi et al. - 2003 - Concept-Controlled Polymorphism.pdf:application/pdf}
}

@article{ingraffea_fracture_1984,
	title = {Fracture mechanics of bond in reinforced concrete},
	volume = {48},
	journal = {J Struct. Div.},
	author = {Ingraffea, A. R. and Gerstle, W. H. and Gergely, P. and Saouma, V.},
	year = {1984},
	pages = {397--413}
}

@article{chen_modification_1981,
	title = {A modification of {Powell}'s dogleg method for solving systems of nonlinear equations},
	volume = {5},
	issn = {0098-1354},
	doi = {10.1016/0098-1354(81)85003-X},
	number = {3},
	journal = {Computers \& Chemical Engineering},
	author = {Chen, Hern-Shann and Stadtherr, Mark A.},
	year = {1981},
	pages = {143 -- 150},
	file = {Chen et Stadtherr - 1981 - A modification of Powell's dogleg method for solvi.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/MFSREPDW/Chen et Stadtherr - 1981 - A modification of Powell's dogleg method for solvi.pdf:application/pdf}
}

@article{too_faxmod_1980,
	title = {{FAXMOD} and its application on the prediction of high temperature creep and sheath ballooning behaviour},
	volume = {56},
	issn = {0029-5493},
	url = {http://www.sciencedirect.com/science/article/pii/0029549380901867},
	doi = {10.1016/0029-5493(80)90186-7},
	abstract = {FAXMOD, like its sister code FULMOD [1] for normal reactor operating conditions, is a two-dimensional finite-element code, three-dimensional when used in its axisymmetric mode. It can examine specifically multi-dimensional effects such as circumferential temperature variations due to non-uniform pellet—sheath gaps, longitudinal variations due to fuel pin end conditions, variations due to sheath appendages, etc. The code currently contains a transient thermal analysis, an elastoplastic analysis and a creep analysis. This paper focuses on the verification of the high temperature sheath creep analysis of the code. Comparisons between FAXMOD predictions using a specific creep law and out-reactor transient tube burst data demonstrate the code's capability to model high temperature creep behaviour within experimental accuracy. The treatment of sheath ballooning is discussed. The code's capability to represent both the fuel and sheath during an assumed fast transient is also demonstrated.},
	number = {1},
	urldate = {2014-09-10},
	journal = {Nuclear Engineering and Design},
	author = {Too, J. J. M. and Tamm, H.},
	month = feb,
	year = {1980},
	pages = {211--215},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/F8SHGBG2/0029549380901867.html:text/html;Too et Tamm - 1980 - FAXMOD and its application on the prediction of hi.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/GU58J6W9/Too et Tamm - 1980 - FAXMOD and its application on the prediction of hi.pdf:application/pdf}
}

@article{cangemi_adhesion_1996,
	title = {Adhesion and friction model for the fiber/matrix interface of a composite},
	volume = {4},
	journal = {Engineering Systems Design and Analysis},
	author = {Cangémi, L. and Cocu, M. and Raous, M.},
	year = {1996},
	pages = {157--163}
}

@misc{charras_developper_1996,
	title = {Développer dans {Castem} 2000 : {Esope}},
	url = {http://www-cast3m.cea.fr/cast3m/xmlpage.do?name=downloaddoc#eso},
	author = {Charras, Thierry},
	year = {1996}
}

@misc{courcelle_thermo-metallurgical-mechanical_2014,
	address = {Florida},
	title = {A thermo-metallurgical-mechanical model of {EM}10 at high temperature},
	language = {Anglais},
	author = {Courcelle, Arnaud and Milliard, Franck and Gavoille, Pierre and Le Saux, Matthieu and Bosonnet, Sophie and Flament, Jean-Luc and Guilbert, Thomas},
	month = oct,
	year = {2014},
	file = {Courcelle et al. - 2014 - A thermo-metallurgical-mechanical model of EM10 at.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/RQA9JWC6/Courcelle et al. - 2014 - A thermo-metallurgical-mechanical model of EM10 at.pdf:application/pdf}
}

@article{tvergaard_effects_1995,
	title = {Effects of nonlocal damage in porous plastic solids},
	volume = {32},
	issn = {0020-7683},
	url = {http://www.sciencedirect.com/science/article/pii/002076839400185Y},
	doi = {10.1016/0020-7683(94)00185-Y},
	abstract = {A nonlocal constitutive formulation for a porous ductile material is investigated, in which delocalization relates to the damage mechanism. An elastic-viscoplastic material model is used, with delocalization incorporated in terms of an integral condition on the rate of increase of the void volume fraction. Two model problems are analysed to study the effect of including this material length, one relates to localization of plastic flow in shear bands, while the other considers a metal matrix composite. Both model problems involve final failure in strongly nonhomogeneous strain fields, and it is shown that the inherent mesh sensitivity of the numerical failure predictions can be removed by using the nonlocal material model considered here.},
	number = {8–9},
	urldate = {2015-05-04},
	journal = {International Journal of Solids and Structures},
	author = {Tvergaard, Viggo and Needleman, Alan},
	month = apr,
	year = {1995},
	pages = {1063--1077},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/C5U2HPGA/Tvergaard et Needleman - 1995 - Effects of nonlocal damage in porous plastic solid.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/6U8J3632/002076839400185Y.html:text/html}
}

@article{needleman_effect_1999,
	title = {the effect of bond strengh and loading rate on the conditions governing the attainement of intersonic crack growth along interfaces},
	volume = {47},
	journal = {J. Mech. Phys. Solids},
	author = {Needleman, A. and Rosakis, A. J.},
	year = {1999},
	pages = {2411--2449}
}

@techreport{darrigo_notice_2012,
	title = {Notice d'utilisation de la base de données matériau du {LE}2S},
	institution = {DER/SESI/LE2S},
	author = {d'Arrigo, José and Gentet, David},
	year = {2012}
}

@techreport{han_modelisation_2011,
	type = {Note technique},
	title = {Modélisation de la fragilisation due au gonflement dans les aciers inoxydables austénitiques irradiés - {Rapport} d'avancement de la 1ère année de thèse},
	abstract = {Ce rapport constitue le bilan de la première année de thèse de X. Han dédiée à la "Modélisation de la fragilisation due au gonflement dans les aciers inoxydables austénitiques irradiés". Ce travail, réalisé dans le cadre du lot 3 (Comportement Mécanique) du projet MASOL, vise à contribuer à la modélisation des aciers austénitiques utilisés dans les structures d'Internes de cuve et à étudier l'effet du gonflement sur l'évolution des propriétés mécaniques avec la dose d'irradiation dans un REP. La première année de thèse a été consacrée aux points suivants :
(i) Choix des lois de comportement cristallines viscoplastiques pour les matériaux de structure CFC non-irradiés et irradiés.
(ii) Implémentation d'un modèle cristallin en grandes transformations pour les matériaux CFC à l'état non-irradié. Cette implémentation a été réalisée et testée dans le code de calcul ZéBuLoN du Centre des Matériaux. Deux méthodes d'intégration ont été utilisées et comparées : la méthode explicite de Runge-Kutta et la méthode implicite de Newton.
(iii) Identification des paramètres de la loi cristalline à l'état non irradié pour la nuance 304L, retenue pour cette étude.
(iv) Réalisation de calculs d'agrégats simplifiés avec la loi cristalline pour des niveaux moyens de déformation de l'ordre de 100\%.
(v) Réalisation de calculs de cellule poreuse avec la loi cristalline.

Par ailleurs, à partir des travaux de L. Vincent, une première modification a été réalisée dans le code de calcul CAST3M, afin d'adapter l'implémentation disponible à la loi de comportement cristalline adoptée dans nos travaux pour les matériaux CFC. Les résultats obtenus par les calculs numériques dans les deux codes (CAST3M et ZéBuLoN) présentent une bonne cohérence globale.},
	number = {NT/2011-006/A},
	institution = {DEN/DANS/DMN/SEMI/LCMI},
	author = {Han, Xu},
	month = apr,
	year = {2011},
	file = {Han - 2011 - Modélisation de la fragilisation due au gonflement.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/XAP4VFZJ/Han - 2011 - Modélisation de la fragilisation due au gonflement.pdf:application/pdf}
}

@inproceedings{helfer_modelling_2014,
	address = {Aix-en-Provence, France},
	title = {Modelling the effect of oxide fuel fracturing on the mechanical behaviour of fuel rods},
	booktitle = {Pellet-clad {Interaction} in {Water} {Reactor} {Fuels}. {Seminar} {Proceedings}.},
	publisher = {Organisation for Economic Co-Operation and Development - Nuclear Energy Agency},
	author = {Helfer, T. and Garcia, P. and Ricaud, J.M. and Plancq, D. and Sidoroff, F. and Bernard, L.},
	month = mar,
	year = {2014}
}

@inproceedings{sercombe_1d_2010,
	address = {Orlando, Florida, USA},
	title = {1D and 3D modeling of {PCMI} during a {RIA} with {ALCYONE} {V}1.1},
	booktitle = {{TopFuel} 2010},
	author = {Sercombe, J. and Fédérici, E. and Le Saux, M. and Michel, B. and Poussard, C.},
	year = {2010}
}

@techreport{edf_ssna303_2011,
	type = {Référence du {Code} {Aster}},
	title = {{SSNA}303 : Éprouvette entaillée élastoplastique en grandes déformations},
	url = {http://www.code-aster.org},
	abstract = {Ce test modélise une éprouvette entaillée en axi-symétrie. Le comportement est élasto-plastique à écrouissage
isotrope linéaire de type von Mises (VMIS\_ISOT\_LINE).
Dans la modélisation A, deux modélisations des grandes déformations sont comparées :
•SIMO-MIEHE, hyper-élastique et prise ici comme référence
•GDEF-HYPO-ELAS, hypo-elastique et testée ici.
Dans la modélisation B deux modélisations des grandes déformations sont comparées :
•SIMO-MIEHE, hyper-élastique et prise ici comme référence
•GDEF-LOG, hypo-elastique et testée ici.
Les données comparées sont l’effort résultant et la contraction du ligament.},
	number = {V6.01.303 révision : 6972},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	month = mar,
	year = {2011},
	file = {v6.01.303.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/RQZSBHTV/v6.01.303.pdf:application/pdf}
}

@article{kallqvist_microanalysis_1999,
	title = {Microanalysis of a stabilised austenitic stainless steel after long term ageing},
	volume = {270},
	issn = {0921-5093},
	url = {http://www.sciencedirect.com/science/article/pii/S0921509399002348},
	doi = {10.1016/S0921-5093(99)00234-8},
	abstract = {A detailed knowledge of microstructural changes that occur in austenitic stainless steels during heat treatment and creep is of great interest, since the ductility and the strength of the material may change drastically after a long time. It is of practical importance to be able to predict when and in what amount different phases precipitate in the material. This study is part of a larger project aiming at constructing thermodynamic models for the development of the microstructure during isothermal heat treatment and creep. This work concerns the microstructural evolution during isothermal heat treatment of an austenitic stainless steel using atom probe field ion microscopy (APFIM), transmission electron microscopy (TEM) and scanning electron microscopy (SEM). The investigated material was niobium-stabilised steel of type AISI 347 with the major chemical composition of 0.05C-18Cr-l lNi-0.8Nb-1.6Mn (wt\%). The steel was solution annealed at for 1100°C 3 min to obtain a homogeneous and well defined starting condition and test samples were heat treated at 500–700°C for up to 70000 h. The solution annealed material and the material isothermally aged at 500, 600 and 700°C have been studied using the APFIM for detailed chemical analysis of the matrix. The results have been compared with SEM and TEM investigations of Nb(C,N) precipitates and σ-phase in the material. Nb-N and Mo-B clustering (which probably affects the strength considerably) was found in material aged at 500°C.},
	number = {1},
	urldate = {2014-01-17},
	journal = {Materials Science and Engineering: A},
	author = {Källqvist, J and Andrén, H. -O},
	month = sep,
	year = {1999},
	keywords = {Atom-probe field-ion microscopy, Precipitates, Stainless steel},
	pages = {27--32},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/GUUB29NG/Källqvist et Andrén - 1999 - Microanalysis of a stabilised austenitic stainless.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/GNPAGTM3/S0921509399002348.html:text/html}
}

@inproceedings{chambon_modelisation_2004-1,
	title = {modélisation numérique des milieux continus de second gradient locaux, application à la localisation dans un matériau de {\textbackslash}{nomVon} {Mises}},
	booktitle = {mécanismes et mécanique des matériaux et structures à longueur interne : comportement et effets d'échelles},
	author = {Chambon, R. and Bésuelle, P. and Moullet, J. C.},
	month = jan,
	year = {2004},
	pages = {25--32}
}

@article{xu_numerical_1995,
	title = {numerical simulations of dynamic interfacial crack growth allowing for crack growth away from the bond line},
	volume = {74},
	journal = {International Journal of Fracture},
	author = {Xu, X.-P. and Needleman, A.},
	year = {1995},
	pages = {253--275}
}

@incollection{fremond_adhesion_1982,
	title = {Adhésion et contact unilatéral},
	booktitle = {Contact {Mechanics} and {Wear} of {Rail}/{Wheel} {Systems}},
	publisher = {University of Waterloo Press},
	author = {Frémond, M.},
	year = {1982},
	pages = {62--77}
}

@techreport{brunon_etude_2009,
	title = {Étude prospective d'un élément combustible à plaque gainé vanadium pour le {RCG}},
	number = {09 - 015},
	institution = {DEC/SESC/LC2I},
	author = {Brunon, Éric and Helfer, Thomas},
	year = {2009}
}

@techreport{helfer_version_2014,
	type = {Note technique},
	title = {Version 1.1 de {Licos} : note de version},
	number = {À paraître},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Helfer, Thomas and Bruno, Éric and Bassi, Christophe and Guénot-Delahaie, Isabelle and Zabiego, Maxime and Jeanningros, Xavier and Revol, Aurélien and Huguet Garcia, Juan and Gastaldi, Bernard and Richaud, Florent},
	year = {2014}
}

@techreport{helfer_implantation_2006-1,
	type = {Note technique},
	title = {Implantation de lois de comportement mécanique externes dans la plate-forme {\textbackslash}pleiades, utilisation de l interface {\textbackslash}umat de {\textbackslash}castem},
	number = {06 - 007},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Helfer, Thomas},
	year = {2006}
}

@book{alexandrescu_modern_2000,
	address = {Boston, MA; London},
	title = {Modern {C}++ design: applied generic programming and design patterns},
	isbn = {0201704315 9780201704310},
	shorttitle = {Modern {C}++ design},
	language = {English},
	publisher = {Addison-Wesley},
	author = {Alexandrescu, Andrei},
	year = {2000}
}

@article{borst_remarks_1998,
	title = {some remarks on gradient and non local damage theories},
	journal = {Damage Mechanics in Engineering Materials},
	author = {Borst, R. de and Geers, M. G. D. and Peerlings, R. H. J. and Benallal, A.},
	year = {1998},
	pages = {223--237}
}

@article{michel_3d_2008-1,
	series = {Local {Approach} to {Fracture} (1986–2006): {Selected} papers from the 9th {European} {Mechanics} of {Materials} {Conference}},
	title = {3D fuel cracking modelling in pellet cladding mechanical interaction},
	volume = {75},
	issn = {0013-7944},
	url = {http://www.sciencedirect.com/science/article/pii/S0013794406004759},
	doi = {10.1016/j.engfracmech.2006.12.014},
	abstract = {This study is concerned with the modelling of fuel behaviour and of pellet–cladding interaction (PCI). A new fuel software (PLEIADES) is currently co-developed by the Atomic Energy Commission (CEA) and Electricité de France (EDF). This software includes a multi-dimensional FE program (ALCYONE) devoted to Pressure Water Reactors (PWR) fuel rods. PCI studies are mainly undertaken with the 3D model of ALCYONE. The objectives of this work are twofold: first, to propose a constitutive model for the fuel pellet which accounts for the stress relaxation of the material resulting from cracking and creep, second, to estimate the impact of the pellet cracking on PCI.

In this paper, a mathematical formulation which couples a viscoplastic law for creep with a multi-surface plastic softening law for cracking is detailed, leading a two inelastic strains model. Mesh dependency is overcome thanks to a material parameter related to the finite element size. The 3D calculations of PCI presented in this paper show that the considered modelling of fuel cracking is consistent with the experimental knowledge available on crack development under irradiation. A parametric study is then presented which leads to the conclusion that the tangential stresses at the pellet cladding interface and hence the risk of PCI failure are significantly reduced when the fuel tensile strength is divided by two.},
	number = {11},
	urldate = {2015-05-06},
	journal = {Engineering Fracture Mechanics},
	author = {Michel, B. and Sercombe, J. and Thouvenin, G. and Chatelet, R.},
	month = jul,
	year = {2008},
	keywords = {Failure behaviour, Pellet–cladding interaction (PCI), PWR},
	pages = {3581--3598},
	file = {Michel et al. - 2008 - 3D fuel cracking modelling in pellet cladding mech.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/95BZWSXR/Michel et al. - 2008 - 3D fuel cracking modelling in pellet cladding mech.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/24AER4BA/S0013794406004759.html:text/html}
}

@article{lubarda_constitutive_2004,
	title = {Constitutive theories based on the multiplicative decomposition of deformation gradient: {Thermoelasticity}, elastoplasticity, and biomechanics},
	volume = {57},
	issn = {0003-6900},
	url = {http://dx.doi.org/10.1115/1.1591000},
	doi = {10.1115/1.1591000},
	abstract = {Some fundamental issues in the formulation of constitutive theories of material response based on the multiplicative decomposition of the deformation gradient are reviewed, with focus on finite deformation thermoelasticity, elastoplasticity, and biomechanics. The constitutive theory of isotropic thermoelasticity is first considered. The stress response and the entropy expression are derived in the case of quadratic dependence of the elastic strain energy on the finite elastic strain. Basic kinematic and kinetic aspects of the phenomenological and single crystal elastoplasticity within the framework of the multiplicative decomposition are presented. Attention is given to additive decompositions of the stress and strain rates into their elastic and plastic parts. The constitutive analysis of the stress-modulated growth of pseudo-elastic soft tissues is then presented. The elastic and growth parts of the deformation gradient and the rate of deformation tensor are defined and used to construct the corresponding rate-type biomechanic theory. The structure of the evolution equation for growth-induced stretch ratio is discussed. There are 112 references cited in this review article.},
	number = {2},
	journal = {Applied Mechanics Reviews},
	author = {Lubarda, Vlado A},
	month = apr,
	year = {2004},
	pages = {95--108},
	annote = {10.1115/1.1591000},
	file = {Lubarda - 2004 - Constitutive theories based on the multiplicative .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/4TMBQ4X8/Lubarda - 2004 - Constitutive theories based on the multiplicative .pdf:application/pdf}
}

@article{hackl_relation_2008,
	title = {On the relation between the principle of maximum dissipation and inelastic evolution given by dissipation potentials},
	volume = {464},
	copyright = {© 2007 The Royal Society},
	issn = {1364-5021, 1471-2946},
	url = {http://rspa.royalsocietypublishing.org/content/464/2089/117},
	doi = {10.1098/rspa.2007.0086},
	abstract = {We study the evolution of systems described by internal variables. After the introduction of thermodynamic forces and fluxes, both the dissipation and dissipation potential are defined. Then, the principle of maximum dissipation (PMD) and a minimum principle for the dissipation potential are developed in a variational formulation. Both principles are related to each other. Several cases are shown where both principles lead to the same evolution equations for the internal variables. However, also counterexamples are reported where such an equivalence is not valid. In this case, an extended PMD can be formulated.},
	language = {en},
	number = {2089},
	urldate = {2014-12-01},
	journal = {Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences},
	author = {Hackl, Klaus and Fischer, Franz Dieter},
	month = jan,
	year = {2008},
	note = {We study the evolution of systems described by internal variables. After the introduction of thermodynamic forces and fluxes, both the dissipation and dissipation potential are defined. Then, the principle of maximum dissipation (PMD) and a minimum principle for the dissipation potential are developed in a variational formulation. Both principles are related to each other. Several cases are shown where both principles lead to the same evolution equations for the internal variables. However, also counterexamples are reported where such an equivalence is not valid. In this case, an extended PMD can be formulated.},
	pages = {117--132},
	file = {Hackl et Fischer - 2008 - On the relation between the principle of maximum d.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/3B34PTTW/Hackl et Fischer - 2008 - On the relation between the principle of maximum d.pdf:application/pdf;Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/NN5TNMCR/117.html:text/html}
}

@article{fuketa_nsrr/ria_1996,
	title = {{NSRR}/{RIA} experiments with high-burnup {PWR} fuels,  37(4), pp. 328-342, 1996},
	volume = {37},
	number = {4},
	journal = {Nuclear Safety},
	author = {Fuketa, Toyoshi and Nagase, F and Ishijima, K. and Fujishiro, T.},
	year = {1996},
	pages = {328--342}
}

@misc{wikipedia_finite_2014,
	title = {Finite strain theory},
	copyright = {Creative Commons Attribution-ShareAlike License},
	url = {http://en.wikipedia.org/w/index.php?title=Finite_strain_theory&oldid=589861339},
	abstract = {In continuum mechanics, the finite strain theory—also called large strain theory, or large deformation theory—deals with deformations in which both rotations and strains are arbitrarily large, i.e. invalidates the assumptions inherent in infinitesimal strain theory. In this case, the undeformed and deformed configurations of the continuum are significantly different and a clear distinction has to be made between them. This is commonly the case with elastomers, plastically-deforming materials and other fluids and biological soft tissue.},
	language = {en},
	urldate = {2014-01-13},
	journal = {Wikipedia, the free encyclopedia},
	author = {Wikipédia},
	month = jan,
	year = {2014},
	note = {Page Version ID: 589861339},
	file = {Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/9HUSX37C/2014 - Finite strain theory.html:text/html}
}

@techreport{gayffier_algorithme_1994,
	title = {Algorithme non linéaire de {CASTEM}2000 ({NONLINE} et {INCREME})},
	number = {94-188},
	institution = {DRN/DMT/SEMT/LAMS},
	author = {Gayffier, A. De},
	year = {1994}
}

@article{langer_critical_1998,
	title = {Critical {Examination} of cohesive-zone models in the theory of dynamic fracture},
	volume = {46},
	number = {9},
	journal = {J. Mech. Phys. Solids},
	author = {Langer, J. S. and Lobkovsky, A. E.},
	year = {1998},
	pages = {1521--1556}
}

@article{needleman_material_1988,
	title = {material rate dependance and mesh sensitivity in localization problems},
	volume = {67},
	journal = {Comp. Meth. Appl. Mech. Eng.},
	author = {Needleman, A.},
	year = {1988},
	pages = {69--85}
}

@inproceedings{michel_pellet_2005,
	address = {Beijing, China},
	title = {Pellet cladding mechanical interaction assessment using 3D modelling},
	booktitle = {{SMIRT} 18-{C}03-4},
	author = {Michel, B. and Plancq, D. and Struzik, C. and Garcia, P. and Lansiart, S.},
	year = {2005}
}

@article{zant_continuum_1984,
	title = {continuum theory for strain-softening},
	volume = {110},
	number = {12},
	journal = {Journal of Engineering Mechanics},
	author = {zant, Z. P. Ba{\textbackslash}u and Chang, T.-P.},
	year = {1984}
}

@techreport{marelle_compte-rendu_2015-1,
	address = {Cadarache},
	type = {Compte-rendu de réunion},
	title = {Compte-rendu de {Réunion} {Pléiades}},
	language = {Français},
	number = {15-032},
	institution = {CEA DEN/DEC/SEC/LSC},
	author = {Marelle, Vincent},
	month = jul,
	year = {2015},
	file = {Marelle - 2015 - Compte-rendu de Réunion Pléiades.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/TMZMKZV3/Marelle - 2015 - Compte-rendu de Réunion Pléiades.pdf:application/pdf}
}

@techreport{garcia_modelisation_1999,
	title = {modélisation du phénomène de délocalisation et de remise en place des fragements de combustible : analyse de calculs tridimensionnels},
	number = {99-2021},
	institution = {DEC/SESC/LLCC},
	author = {Garcia, P. and Bourgognon, J. and Billerey, A. and Struzik, C.},
	month = sep,
	year = {1999}
}

@misc{jacob_finite_????,
	title = {Finite deformation plasticity based on the additive split of the rate of deformation and hyperelasticity},
	abstract = {Finite deformation plasticity formulation based on additive split of rate of deformation and hyperelasticity is presented. This approach is valid for finite elastic and plastic strains, while rendering the choice and numerical integration of objective stress rates superfluous as the results are automatically objective. For small elastic strains our method reduces to the classical hypoelastic-corotational formulation provided that the Dienes objective stress rate is employed, while in the absence of inelastic deformation it coincides with the hyperelastic formulation. The validity of the model has been examined on four test problems and the numerical results were found to be in good agreement with either the exact solution or experimental data.},
	author = {Jacob, Fish and Kamlun, Shek},
	file = {corot00.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/8NHHEIEB/corot00.pdf:application/pdf}
}

@article{miehe_anisotropic_2002,
	title = {Anisotropic additive plasticity in the logarithmic strain space: modular kinematic formulation and implementation based on incremental minimization principles for standard materials},
	volume = {191},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/S0045782502004383},
	doi = {10.1016/S0045-7825(02)00438-3},
	abstract = {The paper presents a modular formulation and computational implementation of a class of anisotropic plasticity models at finite strains based on incremental minimization principles. The modular kinematic setting consists of a constitutive model in the logarithmic strain space that is framed by a purely geometric pre- and postprocessing. On the theoretical side, the point of departure is an a priori six-dimensional approach to finite plasticity based on the notion of a plastic metric. In a first step, a geometric preprocessor defines a total and a plastic logarithmic strain measure obtained from the current and the plastic metrics, respectively. In a second step, these strains enter in an additive format a constitutive model of anisotropic plasticity that may have a structure identical to the geometrically linear theory. The model defines the stresses and consistent tangents work-conjugate to the logarithmic strain measure. In a third step these objects of the logarithmic space are then mapped back to nominal, Lagrangian or Eulerian objects by a geometric postprocessor. This geometric three-step-approach defines a broad class of anisotropic models of finite plasticity directly related to counterparts of the geometrically linear theory. It is specified to a model problem of anisotropic metal plasticity. On the computational side we develop an incremental variational formulation of the above outlined constitutive structure where a quasi-hyperelastic stress potential is obtained from a local constitutive minimization problem with respect to the internal variables. It is shown that this minimization problem is exclusively restricted to the logarithmic strain space in a structure identical to the small-strain theory. The minimization problem determines the internal state of the material for finite increments of time. We develop a discrete formulation in terms of just one scalar parameter for the amount of incremental flow. The existence of the incremental stress potential provides a natural basis for the definition of the geometric postprocessor based on function evaluations. Furthermore, the global initial-boundary-value-problem of the elastic–plastic solid appears in the incremental setting as an energy minimization problem. Numerical examples show that the results obtained are surprisingly close to those obtained by a reference framework of multiplicative plasticity.},
	number = {47–48},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Miehe, C. and Apel, N. and Lambrecht, M.},
	month = nov,
	year = {2002},
	keywords = {Anisotropy, Finite plasticity, Logarithmic strains, Variational formulations},
	pages = {5383--5425},
	file = {Miehe et al. - 2002 - Anisotropic additive plasticity in the logarithmic.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/UI789EQ6/Miehe et al. - 2002 - Anisotropic additive plasticity in the logarithmic.pdf:application/pdf}
}

@techreport{edf_mfront02_2014,
	type = {Référence du {Code} {Aster}},
	title = {{MFRONT}02 – {Test} de l'interface {Code}\_Aster-{MFRONT} avec des lois d'endommagement},
	url = {http://www.code-aster.org},
	number = {V1.03.127},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	month = apr,
	year = {2014}
}

@misc{_wiley:_????,
	title = {Wiley: {Nonlinear} {Finite} {Elements} for {Continua} and {Structures}, 2nd {Edition} - {Ted} {Belytschko}, {Wing} {Kam} {Liu}, {Brian} {Moran}, et al},
	shorttitle = {Wiley},
	url = {http://eu.wiley.com/WileyCDA/WileyTitle/productCd-1118632702.html},
	urldate = {2015-05-05},
	file = {Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/ZJHQPIXK/productCd-1118632702.html:text/html}
}

@book{landau_physique_1982,
	title = {physique théorique, tome 1 : mécanique},
	publisher = {Éditions Mir},
	author = {Landau, L. and Lifchitz, E.},
	year = {1982}
}

@article{simo_unified_1985,
	title = {A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations},
	volume = {49},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/0045782585900611},
	doi = {10.1016/0045-7825(85)90061-1},
	abstract = {By assuming from the outset hyperelastic constitutive behavior, an alternative approach to finite deformation plasticity and viscoplasticity is proposed whereby the need for integration of spatial rate constitutive equations is entirely bypassed. To enhance the applicability of the method, reference is made to a general formulation of plasticity and viscoplasticity which embodies both the multiplicative and additive theories. A new return mapping algorithm capable of accommodating general yield conditions, arbitrary flow and hardening rules and non-constant tangent elasticities is proposed. Finally, a numerical example is presented which illustrates the excellent performance of the method for very large time steps.},
	number = {2},
	urldate = {2014-01-06},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Simo, J. C. and Ortiz, M.},
	month = jun,
	year = {1985},
	pages = {221--245},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/GHVQ8EKA/0045782585900611.html:text/html;Simo et Ortiz - 1985 - A unified approach to finite deformation elastopla.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/BABRAZFR/Simo et Ortiz - 1985 - A unified approach to finite deformation elastopla.pdf:application/pdf}
}

@article{iorio_aspects_1986,
	title = {Some aspects of thermal fatigue in stainless steel},
	volume = {23},
	issn = {0308-0161},
	url = {http://www.sciencedirect.com/science/article/pii/0308016186900165},
	doi = {10.1016/0308-0161(86)90016-5},
	abstract = {This paper is concerned with the analysis of failures in the moderator circuit branch piping of the ATUCHA-1 pressurized heavy water reactor (PHWR), which is made of austenitic steel to DIN 1·4550 specification (similar to AISI 347). These failures are considered to result from thermal fatigue processes induced by fluctuations in a zone where stratified temperature layers occurred, the fluctuations being associated with variations in moderator flow.

The first section evaluates the possibility of cracking due to thermal fatigue phenomena and concludes that under service conditions a crack may initiate and grow through 7 mm thickness of the branch pipe. In laboratory thermal fatigue tests that simulated the thermomechanical conditions for such a component, the number of cycles required to initiate a thermal fatigue crack in a notched modified standard fatigue specimen was about 103. This value may be used to give a conservative prediction of the number of thermal cycles for crack initiation in actual branch pipes, including those subject to the cold plug condition which is produced in some emergency shut-down and valve testing situations.

It was also demonstrated that beyond a crack depth of 7 mm stress corrosion cracking is the main process in further crack propagation. The relevance of this prediction is confirmed by microfractographic observations, since the brittle nature of the fracture surfaces under service conditions appears very different from the transgranular ductile striations found in both thermal and mechanical fatigue test specimens as a result of interacting environmental effects.},
	number = {2},
	urldate = {2014-01-17},
	journal = {International Journal of Pressure Vessels and Piping},
	author = {Iorio, A. F. and Crespi, J. C.},
	year = {1986},
	pages = {149--161},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/JQXP9PIX/Iorio et Crespi - 1986 - Some aspects of thermal fatigue in stainless steel.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/UBM43Q2M/0308016186900165.html:text/html}
}

@phdthesis{acary_contribution_2001,
	title = {Contribution à la modélisation mécanique et numérique des édifices maçonnés},
	school = {Université Aix-Marseille II},
	author = {Acary, V.},
	year = {2001}
}

@inproceedings{marelle_mtr_2009,
	address = {Beijing, China},
	title = {{MTR} plates 3D mechanical modeling with {MAIA}},
	booktitle = {31st {International} {Meeting} on {Reduced} {Enrichment} for {Research} and {Test} {Reactors}},
	author = {Marelle, V. and Gatt, J.M.},
	month = nov,
	year = {2009}
}

@article{clement_short_1984,
	title = {short crack behaviour in nodular cast iron},
	volume = {7},
	number = {n 4},
	journal = {Fatique Engng. Mater. Struct.},
	author = {Clement, P. and Angelli, J. P. and Pineau, A.},
	year = {1984},
	pages = {251--265}
}

@techreport{abrias_validation_1999,
	title = {validation du modèle de fissuration {Ottosen} sur une pastille $_{\textrm{2}}$},
	institution = {DEC/SESC},
	author = {Abrias, P. and Colin, J.},
	year = {1999}
}

@techreport{dagata_design_2010,
	title = {Design and {Safety} {Report}, {MARIOS} {Irradiation} of {U}-{Am} oxide fuels for {Am} transmutation in a {TRIO} rig at the {HFR} {Petten}},
	number = {Projet n$^{\textrm{{\textbackslash}circ\$}}$ 374 01},
	institution = {PUBSY JRC59644},
	author = {D'Agata, E. and Hania, R. and SCIOLLA, C. and Hannink, M. and Wyatt, T.},
	month = dec,
	year = {2010}
}

@article{scheffel_solution_2009,
	title = {Solution of systems of nonlinear equations – a semi-implicit approach},
	volume = {59},
	issn = {0168-9274},
	url = {http://www.sciencedirect.com/science/article/pii/S0168927409000713},
	doi = {10.1016/j.apnum.2009.05.002},
	abstract = {An iterative method for globally convergent solution of nonlinear equations and systems of nonlinear equations is presented. Convergence is quasi-monotonous and approaches second order in the proximity of the real roots. The algorithm is related to semi-implicit methods, earlier being applied to partial differential equations. It is shown that the Newton–Raphson and Newton methods are special cases of the method. The degrees of freedom introduced by the semi-implicit parameters are used to control convergence. When applied to a single equation, efficient global convergence and convergence to a nearby root makes the method attractive in comparison with methods as those of Newton–Raphson and van Wijngaarden–Dekker–Brent. An extensive standard set of systems of equations is solved and convergence diagrams are introduced, showing the robustness, efficiency and simplicity of the method as compared to Newton's method using linesearch.},
	number = {10},
	urldate = {2014-08-21},
	journal = {Applied Numerical Mathematics},
	author = {Scheffel, Jan and Håkansson, Cristian},
	month = oct,
	year = {2009},
	keywords = {Global convergence, Iterative methods, Newton's method, Rootfinding, Root solver, Semi-implicit method, Systems of equations},
	pages = {2430--2443},
	file = {Scheffel et Håkansson - 2009 - Solution of systems of nonlinear equations – a sem.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/C4U9XIDN/Scheffel et Håkansson - 2009 - Solution of systems of nonlinear equations – a sem.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/5V4XR63M/S0168927409000713.html:text/html}
}

@inproceedings{helfer_fuel_2009,
	title = {The fuel performance code {Celaeno}, conception and simulation of fuel elements for gas-cooled fast reactor},
	booktitle = {Proceedings of {GLOBAL} 2009 conference on advanced nuclear fuel},
	author = {Helfer, Thomas and Brunon, Éric and Castelier, Étienne and Ravenet, Alain and Chauvin, Nathalie},
	year = {2009}
}

@techreport{couty_modelisation_1990,
	title = {modélisation thermomécanique de la pastille combustible},
	institution = {EDF},
	author = {Couty, J. C. and Permezel, P.},
	year = {1990}
}

@techreport{tardieu_algorithme_????,
	type = {Référence du {Code} {Aster}},
	title = {Algorithme non linéaire quasi-statique},
	url = {http://www.code-aster.org},
	number = {R5.03.01-C},
	institution = {EDF/MTI/MMN},
	author = {Tardieu, N. and Vautier, I. and Lorentz, É},
	month = jan
}

@techreport{edf_modeles_2013-1,
	type = {Référence du {Code} {Aster}},
	title = {Modèles de comportement métallurgique du {Zircaloy}},
	url = {http://www.code-aster.org},
	number = {R4.04.04 révision 11553},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	month = sep,
	year = {2013},
	file = {EDF - 2013 - Modèles de comportement métallurgique du Zircaloy.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/FRIJ7B6A/EDF - 2013 - Modèles de comportement métallurgique du Zircaloy.pdf:application/pdf}
}

@techreport{portier_re-identification_2009,
	type = {Note technique},
	title = {Ré-identification du modèle {EDGAR} {Zy}4 {AFA}-2G sur les essais en rampe de température},
	abstract = {Cette note présente le modèle EDGAR actualisé du comportement thermomécanique de
l’alliage Zy4 AFA-2G en conditions APRP. Un modèle EDGAR thermomécanique préliminaire,
couplé à un modèle métallurgique, a été identifié en 1999 sur la base d’essais de fluage
réalisés entre 600°C et 900°C. Ce modèle ne permettait pas de simuler correctement les
essais en rampe de température. Aussi, un nouveau jeu de coefficients du modèle
thermomécanique (sans pour autant modifier le modèle métallurgique) a-t-il été identifié sur la
base expérimentale des essais de rampe de température à 1, 5, 10 et 25°C/s. Cette nouvelle
identification permet de mieux simuler les essais en rampe de température et notamment de
mieux prédire le temps à rupture, sauf pour les rampes qui cassent à très haute température.
L'allongement réparti reste cependant moins bien prédit.
Ne disposant pas d'essais de type premier pic sur Zy4 AFA-2G et le comportement en APRP
du Zy4 AFA-2G bas étain restant proche de celui du Zy4 AFA 1,5\%Sn, on préconise d'utiliser
les mêmes équations que pour le Zy4 AFA pour simuler cet effet premier pic en conservant les
valeurs des coefficients de premier pic identifiés pour le Zy4 AFA, les valeurs des coefficients
des lois métallurgiques, de fluage ainsi que celles du critère d'instabilité étant celles identifiées
sur le Zy4 AFA-2G.
Le travail présenté ici, constitue l'étape préliminaire à l'identification d'un modèle Zy4 hydruré
complet.},
	language = {français},
	number = {NT 09-3019 indice A},
	institution = {CEA DEN/DMN/SRMA/LC2M},
	author = {Portier, Laurence and Lezaud-Chaillioux, V. and Vandenberghe, V.},
	month = jul,
	year = {2009},
	file = {Portier et al. - 2009 - Ré-identification du modèle EDGAR Zy4 AFA-2G sur l.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/J7VT8378/Portier et al. - 2009 - Ré-identification du modèle EDGAR Zy4 AFA-2G sur l.pdf:application/pdf}
}

@article{forest_micromorphic_2009,
	title = {Micromorphic approach for gradient elasticity, viscoplasticity, and damage},
	journal = {Journal of Engineering Mechanics},
	author = {Forest, Samuel},
	year = {2009},
	file = {Forest - 2009 - Micromorphic approach for gradient elasticity, vis.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/RBDH8HCS/Forest - 2009 - Micromorphic approach for gradient elasticity, vis.pdf:application/pdf}
}

@article{aubry_constitutive_1990,
	title = {A constitutive model for cyclic behaviour of interfaces with variable dilatancy},
	volume = {9},
	journal = {Computers and Geotechnics},
	author = {Aubry, D. and Modaressi, A.},
	year = {1990},
	pages = {47--58}
}

@misc{bourcier_formation_2014,
	address = {Cadarache},
	title = {Formation {ParaVis}},
	author = {Bourcier, Christophe and Gouttebroze, Camille},
	month = mar,
	year = {2014},
	file = {Bourcier et Gouttebroze - 2014 - Formation ParaVis.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/D7FKPGC8/Bourcier et Gouttebroze - 2014 - Formation ParaVis.pdf:application/pdf}
}

@book{anderson_fracture_1991,
	title = {Fracture mechanics : fundamentals and applications},
	publisher = {CRC Press},
	author = {Anderson, T. L.},
	year = {1991}
}

@inproceedings{bary_numerical_2015,
	address = {Vienna},
	title = {Numerical analysis of concrete creep on mesoscopic 3D specimens},
	abstract = {In this paper we investigate analytically and numerically the creep behavior of concrete at mesoscale. The simulations are carried out with the finite element (FE) code (Cast3M) on 3D concrete specimens consisting in about 4600 polyhedral aggregates of various size and shapes randomly distributed in a box. Both matrix and Interfacial Transition Zone (ITZ) are considered as linear viscoelastic materials while the aggregates are elastic. Specific interface finite elements are introduced between the aggregates and the matrix to model the ITZ. The overall and intra-phase response of the numerical specimens when subjected to classical creep loadings loadings is investigated investigatedinvestigatedinvestigated investigatedinvestigatedinvestigated , and then and then and then compared to the results of analytical estimations obtained with classical mean-field approximation schemes. These schemes are applied in the Laplace-Carson (LC) space, and the effects of the ITZ are accounted for via appropriate interface models. The results obtained for different ITZ thicknesses are analyzed so as to evaluate their respective influence on mortar and concrete materials.},
	author = {Bary, Benoit and Bourcier, Christophe and Helfer, Thomas},
	month = sep,
	year = {2015},
	file = {Bary et al. - 2015 - Numerical analysis of concrete creep on mesoscopic.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/V4TEA2BK/Bary et al. - 2015 - Numerical analysis of concrete creep on mesoscopic.pdf:application/pdf}
}

@article{hellouin_de_menibus_fracture_2014,
	title = {Fracture of {Zircaloy}-4 cladding tubes with or without hydride blisters in uniaxial to plane strain conditions with standard and optimized expansion due to compression tests},
	volume = {604},
	issn = {0921-5093},
	url = {http://www.sciencedirect.com/science/article/pii/S0921509314002287},
	doi = {10.1016/j.msea.2014.02.075},
	abstract = {Two optimizations of the Expansion Due to Compression (EDC) test, which induces a near uniaxial loading, were proposed and developed to reach higher biaxiality ratios (ratio between mechanical quantities in axial and in circumferential direction). The first optimization, named HB-EDC for High-Biaxiality EDC, allowed to reach transverse plane strain conditions. The second optimization, named VHB-EDC for Very High Biaxiality EDC, was designed to reach higher loading biaxiality ratios. These optimized EDC tests were performed at 25 °C, 350 °C and 480 °C on unirradiated hydrided Cold Worked Stress Relieved (CWSR) Zircaloy-4 samples. First, samples unhydrided or uniformly hydrided up to 1130 wppm were tested. Second, samples hydrided at 310 wppm with a hydride blister were tested. A large ductility reduction is induced by the increase in biaxiality level in the absence of a hydride blister or with small blisters ( \< 50 μ m deep). The fracture strain decreases quickly with the blister depth at 25 °C, but more progressively at higher temperature. An equation that quantifies the fracture strain reduction with the blister depth is proposed. Eventually, one of the tests developed in the present study, the HB-EDC test, was proven to be a good compromise between the test complexity and the stress state reached. It is a good candidate to characterize the mechanical behaviour of irradiated cladding.},
	urldate = {2014-09-10},
	journal = {Materials Science and Engineering: A},
	author = {Hellouin de Menibus, Arthur and Auzoux, Quentin and Mongabure, Philippe and Macdonald, Vincent and Le Jolu, Thomas and Besson, Jacques and Crepin, Jerome},
	month = may,
	year = {2014},
	keywords = {Expansion Due to Compression, hydride blister, Zircaloy-4, Zirconium},
	pages = {57--66},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/HRDC7AXG/Hellouin de Menibus et al. - 2014 - Fracture of Zircaloy-4 cladding tubes with or with.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/N53MGTTZ/S0921509314002287.html:text/html}
}

@article{wang_constitutive_2003,
	title = {A constitutive model for rock interfaces and joints},
	volume = {40},
	journal = {International Journal of Rocks Mechanics and Mining Sciences},
	author = {Wang, J. G. and Ichikawa, Y. and Leung, C. F.},
	year = {2003},
	pages = {43--53}
}

@article{pinsky_numerical_1983,
	title = {Numerical integration of rate constitutive equations in finite deformation analysis},
	volume = {40},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/0045782583900877},
	doi = {10.1016/0045-7825(83)90087-7},
	abstract = {In analysis of finite deformation problems the use of constitutive equations in rate form is often required. In a spatial setting, these equations may express a relationship between some objective rate of spatial stress tensor and the rate of deformation. Constitutive equations of this type characterize a variety of material models including hyperelasticity, hypoelasticity and elastoplasticity. Employing geometrical concepts, a family of unconditionally stable and incrementally objective algorithms is proposed for the integration of such rate constitutive equations. These algorithms, which are appropriate for finite deformation analysis, are applicable to any choice of stress rate and, in most cases, employ quantities that arise naturally in the context of finite element analysis. Examples illustrate the objectivity and accuracy of the algorithms.},
	number = {2},
	urldate = {2014-01-06},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Pinsky, Peter M. and Ortiz, Miguel and Pister, Karl S.},
	month = oct,
	year = {1983},
	pages = {137--158},
	file = {Pinsky et al. - 1983 - Numerical integration of rate constitutive equatio.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/E2FFWXUC/Pinsky et al. - 1983 - Numerical integration of rate constitutive equatio.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/G6D4QGI4/0045782583900877.html:text/html}
}

@techreport{edf_algorithme_2013,
	type = {Référence du {Code} {Aster}},
	title = {Algorithme non linéaire quasi-statique {STAT}\_NON\_LINE},
	url = {http://www.code-aster.org},
	number = {R5.03.01 révision : 10290},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	month = jan,
	year = {2013}
}

@article{ladeveze_constitutive_1999,
	title = {Constitutive relation error estimators for (visco)plastic finite element analysis with softening},
	volume = {176},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/S0045782598003405},
	doi = {10.1016/S0045-7825(98)00340-5},
	abstract = {A posteriori error estimators based on constitutive relation residuals have been developed for 20 years, in particular at Cachan. This approach has a strong physical meaning and is quite general. Here, we introduce an extended constitutive relation error estimators family able to measure the quality of finite element computations of structures which exhibit plastic/viscoplastic behavior with softening. These measures take into account, over the studied time interval, all the classical error sources involved in the computation: the space discretization (the mesh), the time discretization and the iterative technique used to solve the nonlinear discrete problem.},
	number = {1–4},
	urldate = {2015-01-05},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Ladevèze, Pierre and Moës, Nicolas and Douchin, Bernard},
	month = jul,
	year = {1999},
	pages = {247--264},
	file = {Ladevèze et al. - 1999 - Constitutive relation error estimators for (visco).pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/CX7V56XK/Ladevèze et al. - 1999 - Constitutive relation error estimators for (visco).pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/SKNDQ3J3/S0045782598003405.html:text/html}
}

@book{raviart_introduction_1998,
	title = {Introduction à l'analyse numérique des équations aux dérivées partielles},
	publisher = {Dunod},
	author = {Raviart, P.-A. and Thomas, J.-M.},
	year = {1998}
}

@book{mpi_message_2006,
	title = {The {Message} {Passing} {Interface} ({MPI}) standard},
	url = {http://www.mcs.anl.gov/research/projects/mpi/http://www.\-mcs.\-anl.\-gov/\-research/\-projects/\-mpi/},
	author = {MPI},
	year = {2006}
}

@article{michel_computational_2004,
	series = {Advances in {Computational} {Plasticity}},
	title = {Computational analysis of nonlinear composite structures using the nonuniform transformation field analysis},
	volume = {193},
	issn = {0045-7825},
	url = {http://www.sciencedirect.com/science/article/pii/S004578250400283X},
	doi = {10.1016/j.cma.2003.12.071},
	abstract = {A reduced model for the effective behavior of nonlinear composites, such as metal–matrix composite materials, has been recently proposed by the authors [1]. It extends and improves on the Transformation Field Analysis of Dvorak [2] by considering nonuniform transformation strains, also called plastic modes, and is referred to as the Nonuniform Transformation Field Analysis. The present study is devoted to the implementation of this new homogenized model into a structural computation.

A brief account on the reduction procedure is given first. Then the time-integration of the model which is required at each integration point of the structural problem is performed by means of an implicit scheme. Two examples are discussed. The response of the homogenized structure is compared to the “exact” response of the actual heterogeneous structure computed with a very fine mesh. It is seen that not only the structural response is accurately captured by the NTFA model, but also the local stress field is correctly approximated.},
	number = {48–51},
	urldate = {2015-04-21},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	author = {Michel, J. C. and Suquet, P.},
	month = dec,
	year = {2004},
	keywords = {Nonlinear composite structures, Nonuniform transformation field analysis},
	pages = {5477--5502},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/3KWSFZ5P/Michel et Suquet - 2004 - Computational analysis of nonlinear composite stru.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/UJR773ZU/S004578250400283X.html:text/html}
}

@article{francfort_stable_1993,
	title = {stable damage evolution in a brittle continuous medium},
	volume = {12},
	number = {2},
	journal = {Eur. J. Mech. A/Solids},
	author = {Francfort, G. A. and Marigo, J.-J.},
	year = {1993},
	pages = {149--189}
}

@techreport{edf_comportements_2013-1,
	type = {Référence du {Code} {Aster}},
	title = {Comportements élastoviscoplastiques mono et polycristallins},
	url = {http://www.code-aster.org},
	number = {R5.03.11 révision : 10623},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	year = {2013}
}

@techreport{helfer_interface_2013-1,
	type = {Note technique},
	title = {L'interface aster aux lois de comportement mécanique de {MFront}},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Helfer, Thomas},
	year = {2013},
	note = {En cours de rédaction}
}

@article{darvishi_third-order_2007,
	title = {A third-order {Newton}-type method to solve systems of nonlinear equations},
	volume = {187},
	issn = {0096-3003},
	url = {http://www.sciencedirect.com/science/article/pii/S0096300306011180},
	doi = {10.1016/j.amc.2006.08.080},
	abstract = {In this paper, we present a third-order Newton-type method to solve systems of nonlinear equations. In the first we present theoretical preliminaries of the method. Secondly, we solve some systems of nonlinear equations. All test problems show the third-order convergence of our method.},
	number = {2},
	urldate = {2014-08-27},
	journal = {Applied Mathematics and Computation},
	author = {Darvishi, M. T. and Barati, A.},
	month = apr,
	year = {2007},
	keywords = {Newton-type method, Systems of nonlinear equations, Third-order convergence},
	pages = {630--635},
	file = {Darvishi et Barati - 2007 - A third-order Newton-type method to solve systems .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/MF32PVWI/Darvishi et Barati - 2007 - A third-order Newton-type method to solve systems .pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/TCS77S2F/S0096300306011180.html:text/html}
}

@article{koster_formation_2015,
	title = {Formation of grain boundaries in ductile single crystals at finite plastic deformations},
	volume = {69},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S0749641915000406},
	doi = {10.1016/j.ijplas.2015.02.010},
	abstract = {The theory of formation of grain boundaries in ductile single crystals is proposed within the nonlinear continuum dislocation theory (CDT), where grain boundaries are interpreted as surfaces of weak discontinuity in placement but strong discontinuity in plastic slip. The set of governing equations and jump conditions are derived for the energy minimizers admitting such surfaces of discontinuity from the variational principle. By constructing energy minimizing sequences having piecewise constant plastic and elastic deformation in two examples of ductile single crystals deforming in plane strain simple shear or uniaxial compression, it is shown that the formation of lamellae structure with grain boundaries is energetically preferable. The number of lamellae is estimated by minimizing the energy of grain boundaries plus the energy of boundary layers.},
	urldate = {2015-04-13},
	journal = {International Journal of Plasticity},
	author = {Koster, M. and Le, K. C. and Nguyen, B. D.},
	month = jun,
	year = {2015},
	keywords = {A. Dislocations, A. Grain boundaries, B. Crystal plasticity, B. Finite strain, C. Variational calculus},
	pages = {134--151},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/QN7JM2TP/Koster et al. - 2015 - Formation of grain boundaries in ductile single cr.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7DB8MN3D/S0749641915000406.html:text/html}
}

@book{lacombe_les_1990,
	address = {Les Ulis, France},
	title = {Les aciers inoxydables},
	isbn = {2868831427 : 9782868831422},
	language = {French},
	publisher = {Les Éditions de Physique},
	author = {Lacombe, P. and Baroux, B. and Béranger, Gérard},
	year = {1990}
}

@techreport{ramirez_optimisation_2009,
	type = {rapport de {Master}},
	title = {Optimisation de modèles de simulation de l'application {Alcyone}},
	institution = {Université Aix Marseille II},
	author = {Ramirez, R. and Michel, F.},
	year = {2009}
}

@inproceedings{bejaoui_thermomechanical_2013,
	address = {Salt Lake City, UT},
	title = {Thermomechanical simulation of the {DIAMINO} irradiation experiment using the {LICOS} fuel design code},
	abstract = {Future GENIV sodium-cooled fast reactor (SFR) may
include Americium (Am) recycling in radial blankets
positioned in the outer core regions. Indeed, Am recycling
on a UO2 matrix has the advantage of providing flexible
breeding gains, Am burning and making blanket
reprocessing possible in a standard UPuO2-x fuel flux.
Two separate-effect experiments in the HFR and OSIRIS
Material Test Reactors (MTRs) are currently under Post-
Irradiation Examinations (MARIOS) and under
preparation (DIAMINO) respectively. The main goal of
these experiments is to investigate gaseous release and
swelling of Am-bearing UO2-x fuels as a function of
temperature, fuel microstructure and gas production rate.
First, a brief description of the MARIOS and DIAMINO
irradiations is provided. Then, the innovative
experimental in-pile device specifically developed for the
DIAMINO experiment is described. Eventually, the
thermo-mechanical computations performed using the
LICOS code are presented. These simulations support the
DIAMINO experimental design and highlight some of the
capabilities of the code.},
	author = {Bejaoui, Syriac and Helfer, Thomas and Brunon, Éric and Lambert, Thierry and Bendotti, Stéphane and Nevroud, Cédric},
	month = oct,
	year = {2013},
	file = {Bejaoui et al. - 2013 - Thermomechanical simulation of the DIAMINO irradia.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/DFQVTKXF/Bejaoui et al. - 2013 - Thermomechanical simulation of the DIAMINO irradia.pdf:application/pdf}
}

@article{salvo_experimental_2015-1,
	title = {Experimental characterization and modelling of {UO}2 behavior at high temperatures and high strain rates},
	volume = {456},
	issn = {0022-3115},
	url = {http://www.sciencedirect.com/science/article/pii/S002231151400614X},
	doi = {10.1016/j.jnucmat.2014.09.024},
	abstract = {This work presents an experimental characterization of uranium dioxide (UO2) in compression under Reactivity Initiated Accident (RIA) conditions. Pellet samples were tested at four temperatures (1100, 1350, 1550 and 1700 ° C ) and at a strain rate varying over 4 decades ( 10 - 4 – 10 - 3 – 10 - 2 – 10 - 1 /s). The experimental results show that the stress–strain curves cannot be fitted with a unique power law as it is the case at smaller strain rates ( 10 - 9 – 10 - 5 /s). A strain-hardening also appears in most of the tests. The microstructural observations show a pronounced evolution of the porosity at the pellet center during the tests. A hyperbolic sine model which accounts for volume variations (pore compressibility) was therefore proposed to describe the behavior of UO2 on a large range of temperatures ( 1100 - 1700 ° C ) and strain rates ( 10 - 9 – 10 - 1 /s). The Finite Element simulations of the compression tests lead to results (maximum stress, axial and hoop strain distribution, porosity distribution) in good agreement with the measurements. The model was then assessed on a database of more than two hundred creep tests.},
	urldate = {2014-10-06},
	journal = {Journal of Nuclear Materials},
	author = {Salvo, Maxime and Sercombe, Jérôme and Ménard, Jean-Claude and Julien, Jérôme and Helfer, Thomas and Désoyer, Thierry},
	month = jan,
	year = {2015},
	pages = {54--67},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/RMJMEC8S/Salvo et al. - 2015 - Experimental characterization and modelling of UO2.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/RS527VEN/S002231151400614X.html:text/html}
}

@misc{brunon_courbes_2012,
	title = {Courbes de traction {EM}10},
	author = {Brunon, É. and Gavoille, P.},
	month = jan,
	year = {2012},
	note = {Published: Conversation par courriel}
}

@techreport{bernaud_pleiades_2011,
	title = {Pleiades {V}1.5 - dossier d'exploitation - note de version},
	number = {11-006},
	institution = {CEA DEN/DEC/SESC/LSC},
	author = {Bernaud, S.},
	year = {2011}
}

@techreport{escleine_materiaux_2002,
	title = {Matériaux {RCG}-{T} et {RCG}-{R} - {Un} point sur le carbure de {Silicium}},
	institution = {CEA DEN/DEC/SESC/LIAC},
	author = {Escleine, J.M.},
	year = {2002}
}

@misc{han_modelisation_????,
	title = {Modélisation de la fragilisation du au gonflement dans les aciers inoxydables austénitiques irradiés : bilan de la deuxième année de thèse},
	author = {Han, Xu and Tanguy, Benoît and Besson, Jacques and Forest, Samuel and Rupin, Nicolas and Pokor, Cédric},
	file = {Han et al. - Modélisation de la fragilisation du au gonflement .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/G79RV7S7/Han et al. - Modélisation de la fragilisation du au gonflement .pdf:application/pdf;Reunion_avancement_These_Han_Xu_ENSMP_19102011.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/C73TBNQ5/Reunion_avancement_These_Han_Xu_ENSMP_19102011.pdf:application/pdf;Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/XGBJGWRS/2012ENMP0066.html:text/html}
}

@book{hadamard_cons_1902,
	address = {Paris},
	title = {leçons sur la propagation des ondes et les équations de l'hydrodynamique},
	publisher = {Hermann},
	author = {Hadamard, J.},
	year = {1902}
}

@article{peerlings_localisation_2002,
	title = {localisation issues in local and nonlocal continuum approaches to fracture},
	volume = {21},
	journal = {European Journal of Mechanics A/Solids},
	author = {Peerlings, R. H. J. and Borst, R. de and Brekelmans, W. A. M. and Geers, M. G. D.},
	year = {2002},
	pages = {175--189}
}

@phdthesis{barbie_simulation_2010,
	title = {Simulation du comportement sous irradiation des combustibles hétérogènes : localisation et homogénéisation},
	school = {École Centrale Marseille},
	author = {Barbié, L.},
	month = sep,
	year = {2010}
}

@incollection{rice_mathematical_1968,
	title = {mathematical analysis in the mechanics of fracture},
	volume = {2},
	booktitle = {H. {Liebowitz}, {Fracture}},
	publisher = {Academic, New York},
	author = {Rice, J. R.},
	year = {1968},
	pages = {191--306}
}

@misc{stainier_introduction_2010-1,
	title = {Introduction to {MatLib}: {Current} {State} of {Development}},
	author = {Stainier, Laurent},
	month = jun,
	year = {2010},
	file = {Stainier - 2010 - Introduction to MatLib Current State of Developme.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/UUZZI7RK/Stainier - 2010 - Introduction to MatLib Current State of Developme.pdf:application/pdf}
}

@inproceedings{garcia_effect_1998,
	address = {Nyköping, Sweden},
	title = {the effect of fission gas swelling on cladding strain during power ramp tests},
	booktitle = {Fuel chemistry and pellet-clad interaction to high burn-up fuel},
	author = {Garcia, P. and Struzik, C. and Agard, M. and Moyne, M.},
	month = sep,
	year = {1998}
}

@techreport{proix_reunion_2013,
	title = {Réunion du 18 janvier au {CEA} {Cadarache} sur l’intégration de lois de comportement et {MFront}},
	number = {CR-AMA-13.049},
	institution = {EDF-R\&D/AMA},
	author = {Proix, Jean-Michel},
	year = {2013}
}

@techreport{verdeau_dossiers_1998,
	title = {dossiers 1 et 2 - {FA} 71bw - {Rampe} sur un crayon {J}12-2 à {\textbackslash}{nomOsiris} (2ıeme phase)},
	number = {RT/98-103/A PRA/RT/98-024/A},
	institution = {SEMI/LEMO},
	author = {Verdeau, C. and Lansiart, S.},
	year = {1998}
}

@article{myers_traits:_1995,
	title = {Traits: a new and useful template technique},
	volume = {7},
	number = {5},
	journal = {C++ Report},
	author = {Myers, Nathan C},
	year = {1995},
	pages = {32--35}
}

@article{wulfinghoff_gradient_2015,
	title = {Gradient crystal plasticity including dislocation-based work-hardening and dislocation transport},
	volume = {69},
	issn = {0749-6419},
	url = {http://www.sciencedirect.com/science/article/pii/S0749641914002332},
	doi = {10.1016/j.ijplas.2014.12.003},
	abstract = {This work aims at the formulation of a gradient crystal plasticity model which incorporates some of the latest developments in continuum dislocation theory and is, at the same time, well-suited for a three-dimensional numerical implementation. Specifically, a classical continuum crystal plasticity framework is extended by taking into account continuous dislocation density and curvature field variables which evolve according to partial differential equations (Hochrainer et al., 2014; Ebrahimi et al., 2014). These account for dislocation transport and curvature-induced line-length production and have been derived from a higher-dimensional continuum dislocation theory. The dislocation density information is used to model work hardening as a consequence of dislocation entanglement.

A composite microstructure is simulated consisting of a soft elasto-plastic matrix and hard elastic inclusions. The particles are assumed to act as obstacles to dislocation motion, leading to pile-ups forming at the matrix–inclusion interface. This effect is modeled using gradient plasticity with a simplified equivalent plastic strain gradient approach (Wulfinghoff et al., 2013) which is used here in order to allow for an efficient numerical treatment of the three-dimensional numerical model. A regularized logarithmic energy is applied which is intended to approximate the higher order gradient stress of the statistical theory of Groma et al. (2003).},
	urldate = {2015-04-13},
	journal = {International Journal of Plasticity},
	author = {Wulfinghoff, Stephan and Böhlke, Thomas},
	month = jun,
	year = {2015},
	keywords = {Crystal plasticity, Dislocations, Gradient plasticity, Numerical algorithms, Particulate reinforced material},
	pages = {152--169},
	file = {ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/V8X8UIME/S0749641914002332.html:text/html}
}

@inproceedings{malo_gas_2008,
	title = {Gas {Cooled} {Fast} {Reactor} 2400 {MWth}, end of preliminary viability phase},
	booktitle = {Proceeding of {ICAPP}'08},
	author = {Malo, J. Y. and Alpy, N. and Chauvin, F. Bertrand adn T. Cadiou adn N. and Dumaz, P. and Haubensack, D. and Geffraye, G. and Jonquères, N. and Lorenzo, D. and Morin, F. and Nicolas, L. and Peneliau, Y. and Ravenet, A. and Richard, P. and Studer, E.},
	year = {2008}
}

@inproceedings{siek_matrix_1998-1,
	title = {The {Matrix} {Template} {Library}: {A} {Generic} {Programming} {Approach} to {High} {Performance} {Numerical} {Linear} {Algebra}},
	shorttitle = {The {Matrix} {Template} {Library}},
	abstract = {. We present a unified approach for expressing high performance numerical linear algebra routines for large classes of dense and sparse matrices. As with the Standard Template Library [10], we explicitly separate algorithms from data structures through the use of generic programming techniques. We conclude that such an approach does not hinder high performance. On the contrary, writing portable high performance codes is actually enabled with such an approach because the performance critical code sections can be isolated from the algorithms and the data structures. We also tackle the performance portability problem for particular architecture dependent algorithms such as matrix-matrix multiply. Recently, code generation systems (PHiPAC [3] and ATLAS [15]) have been created to customize the algorithms according to architecture. A more elegant approach is to use template metaprograms [18] to allow for variation. In this paper we introduce the Basic Linear Algebra Instruction Set (BLAIS), ...},
	booktitle = {In {International} {Symposium} on {Computing} in {Object}-{Oriented} {Parallel} {Environments}},
	author = {Siek, Jeremy G. and Lumsdaine, Andrew},
	year = {1998},
	pages = {59--70},
	file = {Citeseer - Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/D7XUGDVW/summary.html:text/html;Siek et Lumsdaine - 1998 - The Matrix Template Library A Generic Programming.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/BN3I53FR/Siek et Lumsdaine - 1998 - The Matrix Template Library A Generic Programming.pdf:application/pdf}
}

@book{stroustrup_concepts_2013,
	title = {Concepts {Lite}: {Constraining} {Templates} with {Predicates}},
	shorttitle = {Concepts {Lite}},
	abstract = {In this paper, we introduce template constraints (a.k.a., “concepts lite”), an extension of C++ that allows the use of predicates to constrain template arguments. The proposed feature is minimal, principled, and uncomplicated. Template constraints are applied to enforce the correctness of template use, not the},
	author = {Stroustrup, Bjarne and Reis, Gabriel Dos and Sutton, Andrew},
	year = {2013},
	file = {Citeseer - Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/WHGRJHK2/Stroustrup et al. - Concepts Lite Constraining Templates with Predica.pdf:application/pdf;Stroustrup et al. - 2013 - Concepts Lite Constraining Templates with Predica.html:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/XXQHAZJ4/Stroustrup et al. - 2013 - Concepts Lite Constraining Templates with Predica.html:text/html}
}

@article{odette_deformation_1992,
	title = {Deformation and fracture in irradiated austenitic stainless steels},
	volume = {191–194, Part A},
	issn = {0022-3115},
	url = {http://www.sciencedirect.com/science/article/pii/S002231150980010X},
	doi = {10.1016/S0022-3115(09)80010-X},
	abstract = {Irradiation of austenitic stainless steels to about 10 dpa at about 300°C results in yield stress levels of up to 1000 MPa and severe reductions in uniform engineering strains to below 1\%. Toughness is also degraded as the fracture mechanism evolves from microvoid coalescence in the unirradiated condition to highly localized deformation in a decohesion zone in the severely irradiation embrittled state. Current toughness models are inadequate and better understanding of the micromechanics and macromechanics of deformation and fracture is needed to reliably predict failure criteria for fusion structures. While irradiated welds appear to have the least favorable combination of strength and ductility, cold-worked steels appear to show less mechanical degradation than solution annealed alloys.},
	urldate = {2014-01-17},
	journal = {Journal of Nuclear Materials},
	author = {Odette, G. R. and Lucas, G. E.},
	month = sep,
	year = {1992},
	pages = {50--57},
	file = {ScienceDirect Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/NX6ZNXWG/Odette and Lucas - 1992 - Deformation and fracture in irradiated austenitic .pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/VEZ3EZ5G/Odette and Lucas - 1992 - Deformation and fracture in irradiated austenitic .html:text/html}
}

@book{crystalclear_boost_2006,
	title = {Boost {Date}–{Time} {Libary}},
	url = {http://www.crystalclearsoftware.com/librairies/date_timehttp://www.crystal\-clear\-software.com/\-librairies/\-date_time},
	author = {CrystalClear, Software},
	year = {2006}
}

@article{miehe_finite_2009,
	title = {Finite viscoplasticity of amorphous glassy polymers in the logarithmic strain space},
	volume = {46},
	issn = {0020-7683},
	url = {http://www.sciencedirect.com/science/article/pii/S0020768308003454},
	doi = {10.1016/j.ijsolstr.2008.08.029},
	abstract = {The paper outlines a new constitutive model and experimental results of rate-dependent finite elastic–plastic behavior of amorphous glassy polymers. In contrast to existing kinematical approaches to finite viscoplasticity of glassy polymers, the formulation proposed is constructed in the logarithmic strain space and related to a six-dimensional plastic metric. Therefore, it a priori avoids difficulties concerning with the uniqueness of a plastic rotation. The constitutive framework consists of three major steps: (i) A geometric pre-processing defines a total and a plastic logarithmic strain measures determined from the current and plastic metrics, respectively. (ii) The constitutive model describes the stresses and the consistent moduli work-conjugate to the logarithmic strain measures in an analogous structure to the geometrically linear theory. (iii) A geometric post-processing maps the stresses and the algorithmic tangent moduli computed in the logarithmic strain space to their nominal, material or spatial counterparts in the finite deformation space. The analogy between the formulation of finite plasticity in the logarithmic strain space and the geometrically linear theory of plasticity makes this framework very attractive, in particular regarding the algorithmic implementation. The flow rule for viscoplastic strains in the logarithmic strain space is adopted from the celebrated double-kink theory. The post-yield kinematic hardening is modeled by different network models. Here, we compare the response of the eight chain model with the newly proposed non-affine micro-sphere model. Apart from the constitutive model, experimental results obtained from both the homogeneous compression and inhomogeneous tension tests on polycarbonate are presented. Besides the load–displacement data acquired from inhomogeneous experiments, quantitative three-dimensional optical measurements of the surface strain fields are carried out. With regard to these experimental data, the excellent predictive quality of the theory proposed is demonstrated by means of representative numerical simulations.},
	number = {1},
	journal = {International Journal of Solids and Structures},
	author = {Miehe, C. and Göktepe, S. and Méndez Diez, J.},
	month = jan,
	year = {2009},
	keywords = {Experiments, Finite viscoplasticity, Glassy polymers, Logarithmic strains, Network models, Optical measurements, Simulations},
	pages = {181--202}
}

@article{fremond_damage_1995,
	title = {damage in concrete: the unilateral phenomenon},
	volume = {156},
	journal = {Nuclear Engineering and Design},
	author = {Frémond, M. and Nedjar, B.},
	year = {1995},
	pages = {323--335}
}

@techreport{michel_etude_2009,
	type = {Note technique},
	title = {Étude de faisabilité de la génération automatique des lois de comportement mécanique non linéaires dans la plate-forme pleiades},
	number = {09-028},
	institution = {DEC/SESC/LSC},
	author = {Michel, Bruno},
	month = nov,
	year = {2009},
	file = {Michel - 2009 - Étude de faisabilite de la génération automatique .pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/EC3X988S/Michel - 2009 - Étude de faisabilite de la génération automatique .pdf:application/pdf}
}

@article{francfort_vers_2002,
	title = {vers une théorie énergétique de la rupture fragile},
	volume = {330},
	journal = {C.R. Mécanique},
	author = {Francfort, G. and Marigo, J. J.},
	year = {2002},
	pages = {225--233}
}

@misc{cea_amitex_fft_2014,
	title = {{AMITEX}\_FFT},
	url = {http://www.maisondelasimulation.fr/projects/amitex/html/},
	author = {CEA},
	year = {2014}
}

@techreport{couffin_compte_1998,
	title = {Compte rendu d'irradiation crayon {J}12-2 (1ıere phase) cycle {F}144},
	number = {98-0036},
	institution = {DRN/DRE/SIREN/LICO},
	author = {Couffin, P.},
	year = {1998}
}

@book{coussy_mecanique_1991,
	title = {mécanique des milieux poreux},
	publisher = {Éditions Technip},
	author = {Coussy, O.},
	year = {1991}
}

@techreport{edf_comportement_2012,
	type = {Référence du {Code} {Aster}},
	title = {Comportement viscoplastique avec endommagement de {Hayhurst}},
	url = {http://www.code-aster.org},
	number = {R5.03.13 révision : 8886},
	institution = {EDF-R\&D/AMA},
	author = {EDF},
	year = {2012}
}

@article{mazars_new_2014,
	title = {A new 3D damage model for concrete under monotonic, cyclic and dynamic loadings},
	issn = {1359-5997, 1871-6873},
	url = {http://link.springer.com/article/10.1617/s11527-014-0439-8},
	doi = {10.1617/s11527-014-0439-8},
	abstract = {Among the “theories” applied to model concrete behavior, damage mechanics has proven to be efficient. One of the first models for concrete introduced into such a framework is Mazars’ damage model. A new formulation of this model, called the “μ model” and based on a coupling of elasticity and damage within an isotropic formulation, is proposed herein for the purpose of 3D cyclic and dynamic loadings. Unilateral behavior (i.e., crack opening and closure) is introduced by use of two internal variables. A threshold surface is then associated with each of these variables. The shape of such surfaces has been chosen to model as accurately as possible concrete behavior under various loadings, i.e., tension, compression, shear, biaxial and triaxial, in the aim of simulating a large number of loading types (monotonic, cyclic, seismic, blast, impact, etc.). Applications of this model are presented on plain or reinforced concrete elements subjected to a range of loadings (e.g., multiaxial, cyclic, dynamic). A comparison with experimental results serves to demonstrate the effectiveness of these various selected options.},
	language = {en},
	urldate = {2015-07-21},
	journal = {Materials and Structures},
	author = {Mazars, Jacky and Hamon, François and Grange, Stéphane},
	month = oct,
	year = {2014},
	keywords = {Building Materials, Civil Engineering, Concrete, Cyclic loading, Damage models, Finite element calculations, Materials Science, general, Operating Procedures, Materials Treatment, Severe loadings, Structural Mechanics, Theoretical and Applied Mechanics, Thermodynamics of irreversible processes, Unilateral behavior},
	pages = {1--15},
	file = {Full Text PDF:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/NGA887KP/Mazars et al. - 2014 - A new 3D damage model for concrete under monotonic.pdf:application/pdf;Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/DIRBBX26/s11527-014-0439-8.html:text/html}
}

@techreport{helfer_club_2011,
	type = {Compte-rendu de réunion},
	title = {Club utilisateur {Licos}},
	number = {DEC/SEC/LSC/CRR 11-033},
	institution = {DEC/SEC/LSC},
	author = {Helfer, T.},
	year = {2011},
	file = {11-033 CU LICOS 26-05-2011.docx:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/M34RV9QF/11-033 CU LICOS 26-05-2011.docx:application/vnd.openxmlformats-officedocument.wordprocessingml.document}
}

@article{salvo_experimental_2015-2,
	title = {Experimental characterization and modelling of {UO}2 behavior at high temperatures and high strain rates},
	volume = {456},
	issn = {0022-3115},
	url = {http://www.sciencedirect.com/science/article/pii/S002231151400614X},
	doi = {10.1016/j.jnucmat.2014.09.024},
	abstract = {This work presents an experimental characterization of uranium dioxide (UO2) in compression under Reactivity Initiated Accident (RIA) conditions. Pellet samples were tested at four temperatures (1100, 1350, 1550 and 1700 ° C ) and at a strain rate varying over 4 decades ( 10 - 4 – 10 - 3 – 10 - 2 – 10 - 1 /s). The experimental results show that the stress–strain curves cannot be fitted with a unique power law as it is the case at smaller strain rates ( 10 - 9 – 10 - 5 /s). A strain-hardening also appears in most of the tests. The microstructural observations show a pronounced evolution of the porosity at the pellet center during the tests. A hyperbolic sine model which accounts for volume variations (pore compressibility) was therefore proposed to describe the behavior of UO2 on a large range of temperatures ( 1100 - 1700 ° C ) and strain rates ( 10 - 9 – 10 - 1 /s). The Finite Element simulations of the compression tests lead to results (maximum stress, axial and hoop strain distribution, porosity distribution) in good agreement with the measurements. The model was then assessed on a database of more than two hundred creep tests.},
	urldate = {2014-09-30},
	journal = {Journal of Nuclear Materials},
	author = {Salvo, Maxime and Sercombe, Jérôme and Ménard, Jean-Claude and Julien, Jérôme and Helfer, Thomas and Désoyer, Thierry},
	month = jan,
	year = {2015},
	pages = {54--67},
	file = {Salvo et al. - 2015 - Experimental characterization and modelling of UO2.pdf:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/S2QIDCDR/Salvo et al. - 2015 - Experimental characterization and modelling of UO2.pdf:application/pdf;ScienceDirect Snapshot:/home/th202608/.zotero/zotero/vzpzva46.default/zotero/storage/7DEXAAIH/S002231151400614X.html:text/html}
}

@techreport{henrot_equations_2000,
	title = {Équations aux dérivées partielles},
	institution = {École des Mines de Nancy},
	author = {Henrot, A.},
	year = {2000},
	note = {Mathématiques tronc commun}
}