1! 2! CalculiX - A 3-dimensional finite element program 3! Copyright (C) 1998-2021 Guido Dhondt 4! 5! This program is free software; you can redistribute it and/or 6! modify it under the terms of the GNU General Public License as 7! published by the Free Software Foundation(version 2); 8! 9! 10! This program is distributed in the hope that it will be useful, 11! but WITHOUT ANY WARRANTY; without even the implied warranty of 12! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 13! GNU General Public License for more details. 14! 15! You should have received a copy of the GNU General Public License 16! along with this program; if not, write to the Free Software 17! Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. 18! 19 subroutine linvec(vec,konl,nope,jj,vecl,istart,iend) 20! 21! calculates a trilinear approximation to the quadratic interpolation 22! of the temperatures in a C3D20 element (full integration). A 23! quadratic interpolation of the temperatures leads to quadratic 24! thermal stresses, which cannot be handled by the elements 25! displacement functions (which lead to linear stresses). Thus, 26! the temperatures are approximated by a trilinear function. 27! 28 implicit none 29! 30 integer konl(20),nope,jj,i1,j,istart,iend 31! 32 real*8 vec(istart:iend,*),vecl(3),a20l(20,27) 33! 34 a20l=reshape(( 35 &/-0.088729832,-0.240369600,-0.059630393,-0.240369600,-0.240369600, 36 & -0.059630393,-0.011270159,-0.059630393, 0.524865555, 0.066666663, 37 & 0.066666663, 0.524865555, 0.066666663, 0.008467776, 0.008467776, 38 & 0.066666663, 0.524865555, 0.066666663, 0.008467776, 0.066666663, 39 & -0.164549715,-0.164549715,-0.149999995,-0.149999995,-0.149999995, 40 & -0.149999995,-0.035450279,-0.035450279, 0.524865544, 0.295766106, 41 & 0.066666668, 0.295766106, 0.066666668, 0.037567223, 0.008467777, 42 & 0.037567223, 0.295766106, 0.295766106, 0.037567223, 0.037567223, 43 & -0.240369600,-0.088729832,-0.240369600,-0.059630393,-0.059630393, 44 & -0.240369600,-0.059630393,-0.011270159, 0.524865555, 0.524865555, 45 & 0.066666663, 0.066666663, 0.066666663, 0.066666663, 0.008467776, 46 & 0.008467776, 0.066666663, 0.524865555, 0.066666663, 0.008467776, 47 & -0.164549715,-0.149999995,-0.149999995,-0.164549715,-0.149999995, 48 & -0.035450279,-0.035450279,-0.149999995, 0.295766106, 0.066666668, 49 & 0.295766106, 0.524865544, 0.037567223, 0.008467777, 0.037567223, 50 & 0.066666668, 0.295766106, 0.037567223, 0.037567223, 0.295766106, 51 & -0.157274855,-0.157274855,-0.157274855,-0.157274855,-0.092725137, 52 & -0.092725137,-0.092725137,-0.092725137, 0.295766105, 0.295766105, 53 & 0.295766105, 0.295766105, 0.037567224, 0.037567224, 0.037567224, 54 & 0.037567224, 0.166666664, 0.166666664, 0.166666664, 0.166666664, 55 & -0.149999995,-0.164549715,-0.164549715,-0.149999995,-0.035450279, 56 & -0.149999995,-0.149999995,-0.035450279, 0.295766106, 0.524865544, 57 & 0.295766106, 0.066666668, 0.037567223, 0.066666668, 0.037567223, 58 & 0.008467777, 0.037567223, 0.295766106, 0.295766106, 0.037567223, 59 & -0.240369600,-0.059630393,-0.240369600,-0.088729832,-0.059630393, 60 & -0.011270159,-0.059630393,-0.240369600, 0.066666663, 0.066666663, 61 & 0.524865555, 0.524865555, 0.008467776, 0.008467776, 0.066666663, 62 & 0.066666663, 0.066666663, 0.008467776, 0.066666663, 0.524865555, 63 & -0.149999995,-0.149999995,-0.164549715,-0.164549715,-0.035450279, 64 & -0.035450279,-0.149999995,-0.149999995, 0.066666668, 0.295766106, 65 & 0.524865544, 0.295766106, 0.008467777, 0.037567223, 0.066666668, 66 & 0.037567223, 0.037567223, 0.037567223, 0.295766106, 0.295766106, 67 & -0.059630393,-0.240369600,-0.088729832,-0.240369600,-0.011270159, 68 & -0.059630393,-0.240369600,-0.059630393, 0.066666663, 0.524865555, 69 & 0.524865555, 0.066666663, 0.008467776, 0.066666663, 0.066666663, 70 & 0.008467776, 0.008467776, 0.066666663, 0.524865555, 0.066666663, 71 & -0.164549715,-0.149999995,-0.035450279,-0.149999995,-0.164549715, 72 & -0.149999995,-0.035450279,-0.149999995, 0.295766106, 0.037567223, 73 & 0.037567223, 0.295766106, 0.295766106, 0.037567223, 0.037567223, 74 & 0.295766106, 0.524865544, 0.066666668, 0.008467777, 0.066666668, 75 & -0.157274855,-0.157274855,-0.092725137,-0.092725137,-0.157274855, 76 & -0.157274855,-0.092725137,-0.092725137, 0.295766105, 0.166666664, 77 & 0.037567224, 0.166666664, 0.295766105, 0.166666664, 0.037567224, 78 & 0.166666664, 0.295766105, 0.295766105, 0.037567224, 0.037567224, 79 & -0.149999995,-0.164549715,-0.149999995,-0.035450279,-0.149999995, 80 & -0.164549715,-0.149999995,-0.035450279, 0.295766106, 0.295766106, 81 & 0.037567223, 0.037567223, 0.295766106, 0.295766106, 0.037567223, 82 & 0.037567223, 0.066666668, 0.524865544, 0.066666668, 0.008467777, 83 & -0.157274855,-0.092725137,-0.092725137,-0.157274855,-0.157274855, 84 & -0.092725137,-0.092725137,-0.157274855, 0.166666664, 0.037567224, 85 & 0.166666664, 0.295766105, 0.166666664, 0.037567224, 0.166666664, 86 & 0.295766105, 0.295766105, 0.037567224, 0.037567224, 0.295766105, 87 & -0.124999996,-0.124999996,-0.124999996,-0.124999996,-0.124999996, 88 & -0.124999996,-0.124999996,-0.124999996, 0.166666664, 0.166666664, 89 & 0.166666664, 0.166666664, 0.166666664, 0.166666664, 0.166666664, 90 & 0.166666664, 0.166666664, 0.166666664, 0.166666664, 0.166666664, 91 & -0.092725137,-0.157274855,-0.157274855,-0.092725137,-0.092725137, 92 & -0.157274855,-0.157274855,-0.092725137, 0.166666664, 0.295766105, 93 & 0.166666664, 0.037567224, 0.166666664, 0.295766105, 0.166666664, 94 & 0.037567224, 0.037567224, 0.295766105, 0.295766105, 0.037567224, 95 & -0.149999995,-0.035450279,-0.149999995,-0.164549715,-0.149999995, 96 & -0.035450279,-0.149999995,-0.164549715, 0.037567223, 0.037567223, 97 & 0.295766106, 0.295766106, 0.037567223, 0.037567223, 0.295766106, 98 & 0.295766106, 0.066666668, 0.008467777, 0.066666668, 0.524865544, 99 & -0.092725137,-0.092725137,-0.157274855,-0.157274855,-0.092725137, 100 & -0.092725137,-0.157274855,-0.157274855, 0.037567224, 0.166666664, 101 & 0.295766105, 0.166666664, 0.037567224, 0.166666664, 0.295766105, 102 & 0.166666664, 0.037567224, 0.037567224, 0.295766105, 0.295766105, 103 & -0.035450279,-0.149999995,-0.164549715,-0.149999995,-0.035450279, 104 & -0.149999995,-0.164549715,-0.149999995, 0.037567223, 0.295766106, 105 & 0.295766106, 0.037567223, 0.037567223, 0.295766106, 0.295766106, 106 & 0.037567223, 0.008467777, 0.066666668, 0.524865544, 0.066666668, 107 & -0.240369600,-0.059630393,-0.011270159,-0.059630393,-0.088729832, 108 & -0.240369600,-0.059630393,-0.240369600, 0.066666663, 0.008467776, 109 & 0.008467776, 0.066666663, 0.524865555, 0.066666663, 0.066666663, 110 & 0.524865555, 0.524865555, 0.066666663, 0.008467776, 0.066666663, 111 & -0.149999995,-0.149999995,-0.035450279,-0.035450279,-0.164549715, 112 & -0.164549715,-0.149999995,-0.149999995, 0.066666668, 0.037567223, 113 & 0.008467777, 0.037567223, 0.524865544, 0.295766106, 0.066666668, 114 & 0.295766106, 0.295766106, 0.295766106, 0.037567223, 0.037567223, 115 & -0.059630393,-0.240369600,-0.059630393,-0.011270159,-0.240369600, 116 & -0.088729832,-0.240369600,-0.059630393, 0.066666663, 0.066666663, 117 & 0.008467776, 0.008467776, 0.524865555, 0.524865555, 0.066666663, 118 & 0.066666663, 0.066666663, 0.524865555, 0.066666663, 0.008467776, 119 & -0.149999995,-0.035450279,-0.035450279,-0.149999995,-0.164549715, 120 & -0.149999995,-0.149999995,-0.164549715, 0.037567223, 0.008467777, 121 & 0.037567223, 0.066666668, 0.295766106, 0.066666668, 0.295766106, 122 & 0.524865544, 0.295766106, 0.037567223, 0.037567223, 0.295766106, 123 & -0.092725137,-0.092725137,-0.092725137,-0.092725137,-0.157274855, 124 & -0.157274855,-0.157274855,-0.157274855, 0.037567224, 0.037567224, 125 & 0.037567224, 0.037567224, 0.295766105, 0.295766105, 0.295766105, 126 & 0.295766105, 0.166666664, 0.166666664, 0.166666664, 0.166666664, 127 & -0.035450279,-0.149999995,-0.149999995,-0.035450279,-0.149999995, 128 & -0.164549715,-0.164549715,-0.149999995, 0.037567223, 0.066666668, 129 & 0.037567223, 0.008467777, 0.295766106, 0.524865544, 0.295766106, 130 & 0.066666668, 0.037567223, 0.295766106, 0.295766106, 0.037567223, 131 & -0.059630393,-0.011270159,-0.059630393,-0.240369600,-0.240369600, 132 & -0.059630393,-0.240369600,-0.088729832, 0.008467776, 0.008467776, 133 & 0.066666663, 0.066666663, 0.066666663, 0.066666663, 0.524865555, 134 & 0.524865555, 0.066666663, 0.008467776, 0.066666663, 0.524865555, 135 & -0.035450279,-0.035450279,-0.149999995,-0.149999995,-0.149999995, 136 & -0.149999995,-0.164549715,-0.164549715, 0.008467777, 0.037567223, 137 & 0.066666668, 0.037567223, 0.066666668, 0.295766106, 0.524865544, 138 & 0.295766106, 0.037567223, 0.037567223, 0.295766106, 0.295766106, 139 & -0.011270159,-0.059630393,-0.240369600,-0.059630393,-0.059630393, 140 & -0.240369600,-0.088729832,-0.240369600, 0.008467776, 0.066666663, 141 & 0.066666663, 0.008467776, 0.066666663, 0.524865555, 0.524865555, 142 & 0.066666663, 0.008467776, 0.066666663, 0.524865555, 0.066666663/ 143 & ),(/20,27/)) 144! 145 do i1=1,nope 146 do j=1,3 147 vecl(j)=vecl(j)+a20l(i1,jj)*vec(j,konl(i1)) 148 enddo 149 enddo 150! 151 return 152 end 153