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francois |
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//------------------------------------------------------------ |
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//------------------------------------------------------------ |
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// MAGiC |
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// Jean Christophe Cuilli�re et Vincent FRANCOIS |
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// D�partement de G�nie M�canique - UQTR |
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//------------------------------------------------------------ |
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// Le projet MAGIC est un projet de recherche du d�partement |
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// de g�nie m�canique de l'Universit� du Qu�bec � |
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// Trois Rivi�res |
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// Les librairies ne peuvent �tre utilis�es sans l'accord |
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// des auteurs (contact : francois@uqtr.ca) |
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//------------------------------------------------------------ |
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//------------------------------------------------------------ |
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// |
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// fem_triangle3.cpp |
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// |
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//------------------------------------------------------------ |
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//------------------------------------------------------------ |
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// COPYRIGHT 2000 |
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// Version du 02/03/2006 � 11H22 |
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//------------------------------------------------------------ |
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//------------------------------------------------------------ |
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#include "gestionversion.h" |
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#include "fem_hexa8.h" |
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#include "fem_maillage.h" |
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#include "fem_noeud.h" |
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#include "mg_element_maillage.h" |
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#include "ot_tenseur.h" |
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francois |
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#include "ot_quadrature_gauss.h" |
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francois |
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FEM_HEXA8::FEM_HEXA8(unsigned long num,class MG_ELEMENT_MAILLAGE* mai,class FEM_NOEUD** tabnoeud):FEM_ELEMENT3(num,mai),FEM_TEMPLATE_ELEMENT<8>(tabnoeud) |
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{ |
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francois |
581 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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francois |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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tab[4]->get_lien_element3()->ajouter(this); |
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tab[5]->get_lien_element3()->ajouter(this); |
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tab[6]->get_lien_element3()->ajouter(this); |
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tab[7]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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FEM_HEXA8::FEM_HEXA8(class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(mai),FEM_TEMPLATE_ELEMENT<8>(tabnoeud) |
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{ |
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francois |
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if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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francois |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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tab[4]->get_lien_element3()->ajouter(this); |
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tab[5]->get_lien_element3()->ajouter(this); |
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tab[6]->get_lien_element3()->ajouter(this); |
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tab[7]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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francois |
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FEM_HEXA8::FEM_HEXA8(unsigned long num,class MG_ELEMENT_TOPOLOGIQUE* topo,class FEM_NOEUD** tabnoeud):FEM_ELEMENT3(num,topo),FEM_TEMPLATE_ELEMENT<8>(tabnoeud) |
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{ |
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francois |
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if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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francois |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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tab[4]->get_lien_element3()->ajouter(this); |
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tab[5]->get_lien_element3()->ajouter(this); |
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tab[6]->get_lien_element3()->ajouter(this); |
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tab[7]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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FEM_HEXA8::FEM_HEXA8(class MG_ELEMENT_TOPOLOGIQUE* topo,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(topo),FEM_TEMPLATE_ELEMENT<8>(tabnoeud) |
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{ |
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francois |
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if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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francois |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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tab[4]->get_lien_element3()->ajouter(this); |
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tab[5]->get_lien_element3()->ajouter(this); |
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tab[6]->get_lien_element3()->ajouter(this); |
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tab[7]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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FEM_HEXA8::FEM_HEXA8(unsigned long num,class MG_ELEMENT_TOPOLOGIQUE* topo,class MG_ELEMENT_MAILLAGE* mai,class FEM_NOEUD** tabnoeud):FEM_ELEMENT3(num,topo,mai),FEM_TEMPLATE_ELEMENT<8>(tabnoeud) |
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{ |
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francois |
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if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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francois |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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tab[4]->get_lien_element3()->ajouter(this); |
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tab[5]->get_lien_element3()->ajouter(this); |
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tab[6]->get_lien_element3()->ajouter(this); |
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tab[7]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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FEM_HEXA8::FEM_HEXA8(class MG_ELEMENT_TOPOLOGIQUE* topo,class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(topo,mai),FEM_TEMPLATE_ELEMENT<8>(tabnoeud) |
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{ |
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francois |
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if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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francois |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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tab[4]->get_lien_element3()->ajouter(this); |
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tab[5]->get_lien_element3()->ajouter(this); |
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tab[6]->get_lien_element3()->ajouter(this); |
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tab[7]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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francois |
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FEM_HEXA8::FEM_HEXA8(FEM_HEXA8& mdd):FEM_ELEMENT3(mdd),FEM_TEMPLATE_ELEMENT<8>(mdd) |
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{ |
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francois |
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if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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francois |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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tab[4]->get_lien_element3()->ajouter(this); |
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tab[5]->get_lien_element3()->ajouter(this); |
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tab[6]->get_lien_element3()->ajouter(this); |
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tab[7]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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FEM_HEXA8::~FEM_HEXA8() |
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{ |
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francois |
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if (liaison_topologique!=NULL) |
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if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->supprimer(this); |
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francois |
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tab[0]->get_lien_element3()->supprimer(this); |
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tab[1]->get_lien_element3()->supprimer(this); |
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tab[2]->get_lien_element3()->supprimer(this); |
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tab[3]->get_lien_element3()->supprimer(this); |
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tab[4]->get_lien_element3()->supprimer(this); |
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tab[5]->get_lien_element3()->supprimer(this); |
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tab[6]->get_lien_element3()->supprimer(this); |
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tab[7]->get_lien_element3()->supprimer(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->supprimer(this); |
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} |
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FEM_ELEMENT_MAILLAGE* FEM_HEXA8::dupliquer(FEM_MAILLAGE *femmai,long decalage) |
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{ |
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FEM_NOEUD* tabnoeud[8]; |
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tabnoeud[0]=femmai->get_fem_noeudid(tab[0]->get_id()+decalage); |
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tabnoeud[1]=femmai->get_fem_noeudid(tab[1]->get_id()+decalage); |
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tabnoeud[2]=femmai->get_fem_noeudid(tab[2]->get_id()+decalage); |
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tabnoeud[3]=femmai->get_fem_noeudid(tab[3]->get_id()+decalage); |
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tabnoeud[4]=femmai->get_fem_noeudid(tab[4]->get_id()+decalage); |
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tabnoeud[5]=femmai->get_fem_noeudid(tab[5]->get_id()+decalage); |
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tabnoeud[6]=femmai->get_fem_noeudid(tab[6]->get_id()+decalage); |
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tabnoeud[7]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
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FEM_HEXA8* quad=new FEM_HEXA8(get_id()+decalage,maillage,tabnoeud); |
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femmai->ajouter_fem_element3(quad); |
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return quad; |
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} |
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francois |
635 |
bool FEM_HEXA8::valide_parametre_EF(double* uvw) |
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{ |
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francois |
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if (uvw[0]>=-1.-1e-10) |
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if (uvw[1]>=-1.-1e-10) |
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if (uvw[2]>=-1.-1e-10) |
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francois |
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if (uvw[0]<=1.+1e-10) |
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if (uvw[1]<=1.+1e-10) |
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if (uvw[2]<=1.+1e-10) |
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return true; |
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return false; |
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} |
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francois |
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francois |
684 |
void FEM_HEXA8::reinit_boite_3D(void) |
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{ |
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FEM_TEMPLATE_ELEMENT<8>::reinit_boite_3D(); |
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} |
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francois |
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int FEM_HEXA8::get_type_entite(void) |
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{ |
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return IDFEM_HEXA8; |
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} |
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int FEM_HEXA8::get_dimension(void) |
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{ |
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return 3; |
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} |
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int FEM_HEXA8::get_nb_fem_noeud(void) |
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{ |
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return FEM_TEMPLATE_ELEMENT<8>::get_nb_fem_noeud(); |
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} |
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FEM_NOEUD* FEM_HEXA8::get_fem_noeud(int num) |
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{ |
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return FEM_TEMPLATE_ELEMENT<8>::get_fem_noeud(num); |
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} |
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void FEM_HEXA8::change_noeud(int num,FEM_NOEUD* noeud) |
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{ |
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FEM_TEMPLATE_ELEMENT<8>::change_noeud(num,noeud); |
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} |
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BOITE_3D& FEM_HEXA8::get_boite_3D(void) |
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{ |
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return FEM_TEMPLATE_ELEMENT<8>::get_boite_3D(); |
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} |
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francois |
763 |
void FEM_HEXA8::enregistrer(std::ostream& o,double version) |
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francois |
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{ |
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francois |
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if (maillage!=NULL) |
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if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_HEXA8($"<< get_lien_topologie()->get_id() << ",$" << maillage->get_id() << ",$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id()<< ",$" << tab[3]->get_id() << ",$" << tab[4]->get_id() << ",$" << tab[5]->get_id() << ",$" << tab[6]->get_id()<< ",$" << tab[7]->get_id()<< ");" << std::endl; |
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else o << "%" << get_id() << "=FEM_HEXA8(NULL,$" << maillage->get_id() << ",$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id()<< ",$" << tab[3]->get_id() << ",$" << tab[4]->get_id() << ",$" << tab[5]->get_id() << ",$" << tab[6]->get_id()<< ",$" << tab[7]->get_id()<<");" << std::endl; |
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else |
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if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_HEXA8($"<< get_lien_topologie()->get_id() << ",NULL,$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id()<< ",$" << tab[3]->get_id() << ",$" << tab[4]->get_id() << ",$" << tab[5]->get_id() << ",$" << tab[6]->get_id()<< ",$" << tab[7]->get_id()<< ");" << std::endl; |
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else o << "%" << get_id() << "=FEM_HEXA8(NULL,NULL,$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id()<< ",$" << tab[3]->get_id() << ",$" << tab[4]->get_id() << ",$" << tab[5]->get_id() << ",$" << tab[6]->get_id()<< ",$" << tab[7]->get_id()<<");" << std::endl; |
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francois |
310 |
} |
227 |
francois |
637 |
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228 |
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229 |
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int FEM_HEXA8::get_nb_pt_gauss(int degre) |
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{ |
231 |
francois |
754 |
return OT_POINTS_GAUSS::get_nb_point_hexa_prod(degre); |
232 |
francois |
637 |
} |
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void FEM_HEXA8::get_pt_gauss(int degre,int num,double &w,double *uvw) |
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{ |
236 |
francois |
754 |
return OT_POINTS_GAUSS::get_pt_gauss_hex_prod(degre,num,w,uvw); |
237 |
francois |
637 |
} |
238 |
francois |
754 |
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239 |
francois |
757 |
int FEM_HEXA8::get_degre_gauss(int num) |
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{ |
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return OT_POINTS_GAUSS::get_degre_gauss_hexa_prod(num); |
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} |
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244 |
francois |
638 |
int FEM_HEXA8::get_nb_fonction_interpolation(void) |
245 |
francois |
310 |
{ |
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return 8; |
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} |
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249 |
francois |
638 |
int FEM_HEXA8::get_degremax_fonction_interpolation(void) |
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{ |
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return 3; |
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} |
253 |
francois |
310 |
double FEM_HEXA8::get_fonction_interpolation(int num,double *uv) |
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{ |
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double val; |
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double a1=1.+uv[0],a2=1.-uv[0]; |
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double b1=1.+uv[1],b2=1.-uv[1]; |
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double c1=1.+uv[2],c2=1.-uv[2]; |
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switch (num) |
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{ |
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case 1: |
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val=0.125*a2*b2*c2; |
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break; |
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case 2: |
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val=0.125*a1*b2*c2; |
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break; |
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case 3: |
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val=0.125*a1*b1*c2; |
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break; |
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case 4: |
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val=0.125*a2*b1*c2; |
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break; |
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case 5: |
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val=0.125*a2*b2*c1; |
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break; |
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case 6: |
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val=0.125*a1*b2*c1; |
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break; |
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case 7: |
280 |
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val=0.125*a1*b1*c1; |
281 |
|
|
break; |
282 |
|
|
case 8: |
283 |
|
|
val=0.125*a2*b1*c1; |
284 |
|
|
break; |
285 |
|
|
} |
286 |
|
|
return val; |
287 |
|
|
} |
288 |
|
|
|
289 |
|
|
double FEM_HEXA8::get_fonction_derive_interpolation(int num,int num_variable,double *uv) |
290 |
|
|
{ |
291 |
|
|
double val; |
292 |
|
|
double a1=1.+uv[0],a2=1.-uv[0]; |
293 |
|
|
double b1=1.+uv[1],b2=1.-uv[1]; |
294 |
|
|
double c1=1.+uv[2],c2=1.-uv[2]; |
295 |
|
|
switch (num) |
296 |
|
|
{ |
297 |
|
|
case 1: |
298 |
|
|
switch (num_variable) |
299 |
|
|
{ |
300 |
|
|
case 1: |
301 |
|
|
val=-0.125*b2*c2; |
302 |
|
|
break; |
303 |
|
|
case 2: |
304 |
|
|
val=-0.125*a2*c2; |
305 |
|
|
break; |
306 |
|
|
case 3: |
307 |
|
|
val=-0.125*a2*b2; |
308 |
|
|
break; |
309 |
|
|
} break; |
310 |
|
|
case 2: |
311 |
|
|
switch (num_variable) |
312 |
|
|
{ |
313 |
|
|
case 1: |
314 |
|
|
val=0.125*b2*c2; |
315 |
|
|
break; |
316 |
|
|
case 2: |
317 |
|
|
val=-0.125*a1*c2; |
318 |
|
|
break; |
319 |
|
|
case 3: |
320 |
|
|
val=-0.125*a1*b2; |
321 |
|
|
break; |
322 |
|
|
} break; |
323 |
|
|
case 3: |
324 |
|
|
switch (num_variable) |
325 |
|
|
{ |
326 |
|
|
case 1: |
327 |
|
|
val=0.125*b1*c2; |
328 |
|
|
break; |
329 |
|
|
case 2: |
330 |
|
|
val=0.125*a1*c2; |
331 |
|
|
break; |
332 |
|
|
case 3: |
333 |
|
|
val=-0.125*a1*b1; |
334 |
|
|
break; |
335 |
|
|
} break; |
336 |
|
|
case 4: |
337 |
|
|
switch (num_variable) |
338 |
|
|
{ |
339 |
|
|
case 1: |
340 |
|
|
val=-0.125*b1*c2; |
341 |
|
|
break; |
342 |
|
|
case 2: |
343 |
|
|
val=0.125*a2*c2; |
344 |
|
|
break; |
345 |
|
|
case 3: |
346 |
|
|
val=-0.125*a2*b1; |
347 |
|
|
break; |
348 |
|
|
} break; |
349 |
|
|
case 5: |
350 |
|
|
switch (num_variable) |
351 |
|
|
{ |
352 |
|
|
case 1: |
353 |
|
|
val=-0.125*b2*c1; |
354 |
|
|
break; |
355 |
|
|
case 2: |
356 |
|
|
val=-0.125*a2*c1; |
357 |
|
|
break; |
358 |
|
|
case 3: |
359 |
|
|
val=0.125*a2*b2; |
360 |
|
|
break; |
361 |
|
|
} break; |
362 |
|
|
case 6: |
363 |
|
|
switch (num_variable) |
364 |
|
|
{ |
365 |
|
|
case 1: |
366 |
|
|
val=0.125*b2*c1; |
367 |
|
|
break; |
368 |
|
|
case 2: |
369 |
|
|
val=-0.125*a1*c1; |
370 |
|
|
break; |
371 |
|
|
case 3: |
372 |
|
|
val=0.125*a1*b2; |
373 |
|
|
break; |
374 |
|
|
} break; |
375 |
|
|
case 7: |
376 |
|
|
switch (num_variable) |
377 |
|
|
{ |
378 |
|
|
case 1: |
379 |
|
|
val=0.125*b1*c1; |
380 |
|
|
break; |
381 |
|
|
case 2: |
382 |
|
|
val=0.125*a1*c1; |
383 |
|
|
break; |
384 |
|
|
case 3: |
385 |
|
|
val=0.125*a1*b1; |
386 |
|
|
break; |
387 |
|
|
} break; |
388 |
|
|
case 8: |
389 |
|
|
switch (num_variable) |
390 |
|
|
{ |
391 |
|
|
case 1: |
392 |
|
|
val=-0.125*b1*c1; |
393 |
|
|
break; |
394 |
|
|
case 2: |
395 |
|
|
val=0.125*a2*c1; |
396 |
|
|
break; |
397 |
|
|
case 3: |
398 |
|
|
val=0.125*a2*b1; |
399 |
|
|
break; |
400 |
|
|
} break; |
401 |
|
|
} |
402 |
|
|
return val; |
403 |
|
|
} |
404 |
|
|
|
405 |
|
|
double FEM_HEXA8::get_jacobien(double* jac,double *uv,int& li,int& col,double unite) |
406 |
|
|
{ |
407 |
|
|
li=3;col=3; |
408 |
|
|
OT_TENSEUR Ni(3,8),Xi(8,3); |
409 |
|
|
for (int i=0;i<3;i++) |
410 |
|
|
for (int j=0;j<8;j++) |
411 |
|
|
Ni(i,j)=get_fonction_derive_interpolation(j+1,i+1,uv); |
412 |
|
|
for (int i=0;i<8;i++) |
413 |
|
|
{ |
414 |
|
|
double *xyz=tab[i]->get_coord(); |
415 |
|
|
Xi(i,0)=xyz[0]*unite; |
416 |
|
|
Xi(i,1)=xyz[1]*unite; |
417 |
|
|
Xi(i,2)=xyz[2]*unite; |
418 |
|
|
} |
419 |
|
|
OT_TENSEUR jacobi=Ni*Xi; |
420 |
|
|
jac[0]=jacobi(0,0).get_x(); |
421 |
|
|
jac[1]=jacobi(0,1).get_x(); |
422 |
|
|
jac[2]=jacobi(0,2).get_x(); |
423 |
|
|
jac[3]=jacobi(1,0).get_x(); |
424 |
|
|
jac[4]=jacobi(1,1).get_x(); |
425 |
|
|
jac[5]=jacobi(1,2).get_x(); |
426 |
|
|
jac[6]=jacobi(2,0).get_x(); |
427 |
|
|
jac[7]=jacobi(2,1).get_x(); |
428 |
|
|
jac[8]=jacobi(2,2).get_x(); |
429 |
|
|
double det=jac[0]*jac[4]*jac[8]+jac[3]*jac[7]*jac[2]+jac[6]*jac[1]*jac[5]-jac[2]*jac[4]*jac[6]-jac[5]*jac[7]*jac[0]-jac[8]*jac[1]*jac[3]; |
430 |
|
|
return det; |
431 |
|
|
|
432 |
|
|
} |
433 |
|
|
|
434 |
|
|
void FEM_HEXA8::get_inverse_jacob(double* j,double *uv,double unite) |
435 |
|
|
{ |
436 |
|
|
double jac[9]; |
437 |
|
|
int li,col; |
438 |
|
|
double detj=get_jacobien(jac,uv,li,col,unite); |
439 |
|
|
j[0*3+0] = (jac[1*3+1]*jac[2*3+2]-jac[1*3+2]*jac[2*3+1])/(detj); |
440 |
|
|
j[0*3+1] = -(jac[0*3+1]*jac[2*3+2]-jac[0*3+2]*jac[2*3+1])/(detj); |
441 |
|
|
j[0*3+2] =-(-jac[0*3+1]*jac[1*3+2]+jac[0*3+2]*jac[1*3+1])/(detj); |
442 |
|
|
|
443 |
|
|
j[1*3+0] = -(jac[1*3+0]*jac[2*3+2]-jac[1*3+2]*jac[2*3+0])/(detj); |
444 |
|
|
j[1*3+1] = (jac[0*3+0]*jac[2*3+2]-jac[0*3+2]*jac[2*3+0])/(detj); |
445 |
|
|
j[1*3+2] = -(jac[0*3+0]*jac[1*3+2]-jac[0*3+2]*jac[1*3+0])/(detj); |
446 |
|
|
|
447 |
|
|
j[2*3+0] =-(-jac[1*3+0]*jac[2*3+1]+jac[1*3+1]*jac[2*3+0])/(detj); |
448 |
|
|
j[2*3+1] = -(jac[0*3+0]*jac[2*3+1]-jac[0*3+1]*jac[2*3+0])/(detj); |
449 |
|
|
j[2*3+2] = (jac[0*3+0]*jac[1*3+1]-jac[0*3+1]*jac[1*3+0])/(detj); |
450 |
|
|
|
451 |
francois |
405 |
} |
452 |
|
|
|
453 |
|
|
|
454 |
|
|
|
455 |
francois |
406 |
int FEM_HEXA8::verifie_validite_decoupage_xfem(double *vol) |
456 |
francois |
405 |
{ |
457 |
|
|
|
458 |
francois |
310 |
} |