1@Author Helfer Thomas; 2@Date 09 avril 2013; 3@Description{ 4 "This test checks that thermal expansion are correctly taken into " 5 "account for an orthotropic material." 6}; 7 8@ModellingHypothesis 'Axisymmetrical'; 9 10@Behaviour<aster> '@MFrontAsterBehavioursBuildPath@' 'asterorthotropicelastic'; 11 12@Real 'E1' '7.8e+10'; 13@Real 'E2' '2.64233e+11'; 14@Real 'E3' '2.64233e+11'; 15@Real 'nu12' '0.0039991'; 16@Real 'nu13' '0.0039991'; 17@Real 'nu23' '0.00736051'; 18@Real 'G12' '4.8e+10'; 19@Real 'a1' '3.41e-5'; 20@Real 'a2' '2.23e-5'; 21@Real 'a3' '4.63e-5'; 22 23@MaterialProperty<constant> 'YoungModulus1' 'E1'; 24@MaterialProperty<constant> 'YoungModulus2' 'E2'; 25@MaterialProperty<constant> 'YoungModulus3' 'E3'; 26@MaterialProperty<constant> 'PoissonRatio12' 'nu12'; 27@MaterialProperty<constant> 'PoissonRatio13' 'nu13'; 28@MaterialProperty<constant> 'PoissonRatio23' 'nu23'; 29@MaterialProperty<constant> 'ShearModulus12' 'G12'; 30@MaterialProperty<constant> 'ThermalExpansion1' 'a1'; 31@MaterialProperty<constant> 'ThermalExpansion2' 'a2'; 32@MaterialProperty<constant> 'ThermalExpansion3' 'a3'; 33 34@ExternalStateVariable 'Temperature' {0:293.15,3600.:800}; 35@Real 'ThermalExpansionReferenceTemperature' 293.15; 36@Real 'Tref' 'ThermalExpansionReferenceTemperature'; 37 38@ImposedStrain 'ERR' 0.; 39@ImposedStrain 'EZZ' 0.; 40@ImposedStrain 'ETT' 0.; 41@ImposedStrain 'ERZ' 0.; 42 43@Real 'pi' '4*atan(1)'; 44@Real 'phi' 'pi/7'; 45@Real 'c' 'cos(phi)'; 46@Real 's' 'sin(phi)'; 47@RotationMatrix {{'c' ,'s',0}, 48 {'-s','c',0}, 49 {0,0,1}}; 50 51@Times {0.,3600 in 20}; 52 53@Real 'S11' '1/E1'; 54@Real 'S22' '1/E2'; 55@Real 'S33' '1/E3'; 56@Real 'S12' '-nu12/E1'; 57@Real 'S13' '-nu13/E1'; 58@Real 'S23' '-nu23/E2'; 59@Real 'dS' 'S11*S22*S33+2*S23*S13*S12-S11*S23*S23-S22*S13*S13-S33*S12*S12'; 60@Real 'C00' '(S22*S33-S23*S23)/dS'; 61@Real 'C01' '(S13*S23-S12*S33)/dS'; 62@Real 'C02' '(S12*S23-S13*S22)/dS'; 63@Real 'C10' '(S13*S23-S12*S33)/dS'; 64@Real 'C11' '(S11*S33-S13*S13)/dS'; 65@Real 'C12' '(S12*S13-S11*S23)/dS'; 66@Real 'C20' '(S12*S23-S13*S22)/dS'; 67@Real 'C21' '(S12*S13-S11*S23)/dS'; 68@Real 'C22' '(S11*S22-S12*S12)/dS'; 69 70@Real 'sig11' '-(C00*a1+C01*a2+C02*a3)'; 71@Real 'sig22' '-(C10*a1+C11*a2+C12*a3)'; 72 73@Test<function> 'SRR' '(c**2*sig11+s**2*sig22)*(Temperature-Tref)' 1.e-3; 74@Test<function> 'SZZ' '(s**2*sig11+c**2*sig22)*(Temperature-Tref)' 1.e-3; 75@Test<function> 'SRZ' 'sqrt(2)*s*c*(-sig11+sig22)*(Temperature-Tref)' 1.e-3; 76@Test<function> 'STT' '-(C20*a1+C21*a2+C22*a3)*(Temperature-Tref)' 1.e-3; 77