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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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francois |
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// fem_element310.cpp |
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francois |
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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_tetra10.h" |
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#include "fem_noeud.h" |
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#include "mg_element_maillage.h" |
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#include "fem_maillage.h" |
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francois |
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FEM_TETRA10::FEM_TETRA10(unsigned long num,class MG_ELEMENT_MAILLAGE* mai,class FEM_NOEUD** tabnoeud):FEM_ELEMENT3(num,mai),FEM_TEMPLATE_ELEMENT<10>(tabnoeud) |
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francois |
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{ |
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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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tab[8]->get_lien_element3()->ajouter(this); |
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tab[9]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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francois |
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} |
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francois |
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FEM_TETRA10::FEM_TETRA10(class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(mai),FEM_TEMPLATE_ELEMENT<10>(tabnoeud) |
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{ |
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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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tab[8]->get_lien_element3()->ajouter(this); |
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tab[9]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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francois |
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} |
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FEM_TETRA10::FEM_TETRA10(unsigned long num,class MG_ELEMENT_TOPOLOGIQUE* topo,class FEM_NOEUD** tabnoeud):FEM_ELEMENT3(num,topo),FEM_TEMPLATE_ELEMENT<10>(tabnoeud) |
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{ |
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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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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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tab[8]->get_lien_element3()->ajouter(this); |
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tab[9]->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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francois |
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FEM_TETRA10::FEM_TETRA10(class MG_ELEMENT_TOPOLOGIQUE* topo,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(topo),FEM_TEMPLATE_ELEMENT<10>(tabnoeud) |
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{ |
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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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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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tab[8]->get_lien_element3()->ajouter(this); |
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tab[9]->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_TETRA10::FEM_TETRA10(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<10>(tabnoeud) |
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{ |
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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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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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tab[8]->get_lien_element3()->ajouter(this); |
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tab[9]->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_TETRA10::FEM_TETRA10(class MG_ELEMENT_TOPOLOGIQUE* topo,class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(topo,mai),FEM_TEMPLATE_ELEMENT<10>(tabnoeud) |
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{ |
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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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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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tab[8]->get_lien_element3()->ajouter(this); |
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tab[9]->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_TETRA10::FEM_TETRA10(FEM_TETRA10& mdd):FEM_ELEMENT3(mdd),FEM_TEMPLATE_ELEMENT<10>(mdd) |
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francois |
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{ |
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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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tab[8]->get_lien_element3()->ajouter(this); |
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tab[9]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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francois |
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} |
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FEM_TETRA10::~FEM_TETRA10() |
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{ |
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if (liaison_topologique==NULL) return; |
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if (liaison_topologique->get_dimension()==0) 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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tab[8]->get_lien_element3()->supprimer(this); |
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tab[9]->get_lien_element3()->supprimer(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->supprimer(this); |
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francois |
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} |
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FEM_ELEMENT_MAILLAGE* FEM_TETRA10::dupliquer(FEM_MAILLAGE *femmai,long decalage) |
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{ |
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FEM_NOEUD* tabnoeud[10]; |
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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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tabnoeud[8]=femmai->get_fem_noeudid(tab[8]->get_id()+decalage); |
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tabnoeud[9]=femmai->get_fem_noeudid(tab[9]->get_id()+decalage); |
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FEM_TETRA10* tet=new FEM_TETRA10(get_id()+decalage,maillage,tabnoeud); |
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femmai->ajouter_fem_element3(tet); |
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return tet; |
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} |
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int FEM_TETRA10::get_type_entite(void) |
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{ |
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return IDFEM_TETRA10; |
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} |
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int FEM_TETRA10::get_dimension(void) |
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{ |
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return 3; |
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} |
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int FEM_TETRA10::get_nb_fem_noeud(void) |
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{ |
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return FEM_TEMPLATE_ELEMENT<10>::get_nb_fem_noeud(); |
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} |
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FEM_NOEUD* FEM_TETRA10::get_fem_noeud(int num) |
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{ |
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return FEM_TEMPLATE_ELEMENT<10>::get_fem_noeud(num); |
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} |
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void FEM_TETRA10::change_noeud(int num,FEM_NOEUD* noeud) |
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{ |
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FEM_TEMPLATE_ELEMENT<10>::change_noeud(num,noeud); |
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} |
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BOITE_3D& FEM_TETRA10::get_boite_3D(void) |
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{ |
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return FEM_TEMPLATE_ELEMENT<10>::get_boite_3D(); |
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} |
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int FEM_TETRA10::nb_fonction_interpolation(void) |
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{ |
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return 10; |
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} |
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double FEM_TETRA10::get_fonction_interpolation(int num,double* uv) |
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{ |
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double val; |
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double landa=1-uv[0]-uv[1]-uv[2]; |
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switch (num) |
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{ |
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case 1: |
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val=-landa*(1-2*landa); |
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break; |
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case 2: |
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val=4*uv[0]*landa; |
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break; |
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case 3: |
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val=-uv[0]*(1-2*uv[0]); |
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break; |
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case 4: |
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val=4*uv[0]*uv[1]; |
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break; |
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case 5: |
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val=-uv[1]*(1-2*uv[1]); |
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break; |
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case 6: |
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val=4*uv[1]*landa; |
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break; |
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case 7: |
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val=4*uv[2]*landa; |
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break; |
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case 8: |
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val=4*uv[0]*uv[2]; |
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break; |
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case 9: |
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val=4*uv[1]*uv[2]; |
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break; |
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case 10: |
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val=-uv[2]*(1-2*uv[2]); |
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break; |
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} |
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return val; |
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} |
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double FEM_TETRA10::get_fonction_derive_interpolation(int num,int num_variable,double* uv) |
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{ |
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double val; |
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double landa=1-uv[0]-uv[1]-uv[2]; |
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switch (num) |
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{ |
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case 1: |
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switch (num_variable) |
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{ |
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case 1: |
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val=1-4*landa; |
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break; |
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case 2: |
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val=1-4*landa; |
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break; |
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case 3: |
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val=1-4*landa; |
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break; |
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} break; |
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case 2: |
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switch (num_variable) |
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{ |
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case 1: |
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val=4*(landa-uv[0]); |
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break; |
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case 2: |
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val=-4*uv[0]; |
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break; |
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case 3: |
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val=-4*uv[0]; |
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break; |
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}break; |
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case 3: |
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switch (num_variable) |
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{ |
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case 1: |
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val=-1+4*uv[0]; |
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break; |
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case 2: |
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val=0.; |
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break; |
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case 3: |
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val=0.; |
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break; |
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}break; |
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case 4: |
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switch (num_variable) |
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{ |
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case 1: |
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val=4*uv[1]; |
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break; |
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case 2: |
317 |
|
|
val=4*uv[0]; |
318 |
|
|
break; |
319 |
|
|
case 3: |
320 |
|
|
val=0.; |
321 |
|
|
break; |
322 |
|
|
}break; |
323 |
|
|
case 5: |
324 |
|
|
switch (num_variable) |
325 |
|
|
{ |
326 |
|
|
case 1: |
327 |
|
|
val=0.; |
328 |
|
|
break; |
329 |
|
|
case 2: |
330 |
|
|
val=-1+4*uv[1]; |
331 |
|
|
break; |
332 |
|
|
case 3: |
333 |
|
|
val=0.; |
334 |
|
|
break; |
335 |
|
|
}break; |
336 |
|
|
case 6: |
337 |
|
|
switch (num_variable) |
338 |
|
|
{ |
339 |
|
|
case 1: |
340 |
|
|
val=-4*uv[1]; |
341 |
|
|
break; |
342 |
|
|
case 2: |
343 |
|
|
val=4*(landa-uv[1]); |
344 |
|
|
break; |
345 |
|
|
case 3: |
346 |
|
|
val=-4*uv[1]; |
347 |
|
|
break; |
348 |
|
|
}break; |
349 |
|
|
case 7: |
350 |
|
|
switch (num_variable) |
351 |
|
|
{ |
352 |
|
|
case 1: |
353 |
|
|
val=-4*uv[2]; |
354 |
|
|
break; |
355 |
|
|
case 2: |
356 |
|
|
val=-4*uv[2]; |
357 |
|
|
break; |
358 |
|
|
case 3: |
359 |
|
|
val=4*(landa-uv[2]); |
360 |
|
|
break; |
361 |
|
|
}break; |
362 |
|
|
case 8: |
363 |
|
|
switch (num_variable) |
364 |
|
|
{ |
365 |
|
|
case 1: |
366 |
|
|
val=4*uv[2]; |
367 |
|
|
break; |
368 |
|
|
case 2: |
369 |
|
|
val=0; |
370 |
|
|
break; |
371 |
|
|
case 3: |
372 |
|
|
val=4*uv[0]; |
373 |
|
|
break; |
374 |
|
|
}break; |
375 |
|
|
case 9: |
376 |
|
|
switch (num_variable) |
377 |
|
|
{ |
378 |
|
|
case 1: |
379 |
|
|
val=0.; |
380 |
|
|
break; |
381 |
|
|
case 2: |
382 |
|
|
val=4*uv[2]; |
383 |
|
|
break; |
384 |
|
|
case 3: |
385 |
|
|
val=4*uv[1]; |
386 |
|
|
break; |
387 |
|
|
}break; |
388 |
|
|
case 10: |
389 |
|
|
switch (num_variable) |
390 |
|
|
{ |
391 |
|
|
case 1: |
392 |
|
|
val=0.; |
393 |
|
|
break; |
394 |
|
|
case 2: |
395 |
|
|
val=0.; |
396 |
|
|
break; |
397 |
|
|
case 3: |
398 |
|
|
val=-1+4*uv[2]; |
399 |
|
|
break; |
400 |
|
|
}break; |
401 |
|
|
} |
402 |
|
|
return val; |
403 |
|
|
|
404 |
|
|
} |
405 |
|
|
|
406 |
|
|
double FEM_TETRA10::get_jacobien(double* jac,double *uv,int& lig,int& col,double unite) |
407 |
|
|
{ |
408 |
|
|
lig=3; |
409 |
|
|
col=3; |
410 |
|
|
|
411 |
|
|
|
412 |
|
|
double nb_fct_int=this->nb_fonction_interpolation(); |
413 |
|
|
|
414 |
|
|
double xyz[30]; |
415 |
|
|
|
416 |
|
|
int nb_nd=get_nb_fem_noeud(); |
417 |
|
|
|
418 |
|
|
for (int i=0;i<nb_nd;i++) |
419 |
|
|
{ |
420 |
|
|
FEM_NOEUD* fmnd=get_fem_noeud(i); |
421 |
|
|
double *xyz1=fmnd->get_coord(); |
422 |
|
|
|
423 |
|
|
xyz[3*i]=unite*xyz1[0]; |
424 |
|
|
xyz[3*i+1]=unite*xyz1[1]; |
425 |
|
|
xyz[3*i+2]=unite*xyz1[2]; |
426 |
|
|
|
427 |
|
|
} |
428 |
|
|
|
429 |
|
|
for (int i=0;i<lig;i++) |
430 |
|
|
{ |
431 |
|
|
for (int j=0;j<col;j++) |
432 |
|
|
{ |
433 |
|
|
jac[i*col+j]=0.0; |
434 |
|
|
for (int k=0;k<nb_fct_int;k++) |
435 |
|
|
{ |
436 |
|
|
double NDERI=this->get_fonction_derive_interpolation(k+1,i+1,uv); |
437 |
|
|
|
438 |
|
|
jac[i*col+j]+=NDERI*xyz[3*k+j]; |
439 |
|
|
} |
440 |
|
|
} |
441 |
|
|
} |
442 |
|
|
|
443 |
|
|
double SIX_V= jac[0]*(jac[4]*jac[8]-jac[7]*jac[5])+jac[1]*(jac[5]*jac[6]-jac[8]*jac[3])+jac[2]*(jac[3]*jac[7]-jac[6]*jac[4]); |
444 |
|
|
|
445 |
|
|
return SIX_V; |
446 |
|
|
|
447 |
|
|
} |
448 |
|
|
|
449 |
|
|
|
450 |
|
|
void FEM_TETRA10::get_inverse_jacob(double* j,double *uv,double unite) |
451 |
|
|
{ |
452 |
|
|
double jac[9]; |
453 |
|
|
int lig,col; |
454 |
|
|
double detj=this->get_jacobien(jac,uv,lig,col,unite); |
455 |
|
|
|
456 |
|
|
|
457 |
|
|
j[0*3+0] = (jac[1*3+1]*jac[2*3+2]-jac[1*3+2]*jac[2*3+1])/(detj); |
458 |
|
|
j[0*3+1] = -(jac[0*3+1]*jac[2*3+2]-jac[0*3+2]*jac[2*3+1])/(detj); |
459 |
|
|
j[0*3+2] =-(-jac[0*3+1]*jac[1*3+2]+jac[0*3+2]*jac[1*3+1])/(detj); |
460 |
|
|
|
461 |
|
|
j[1*3+0] = -(jac[1*3+0]*jac[2*3+2]-jac[1*3+2]*jac[2*3+0])/(detj); |
462 |
|
|
j[1*3+1] = (jac[0*3+0]*jac[2*3+2]-jac[0*3+2]*jac[2*3+0])/(detj); |
463 |
|
|
j[1*3+2] = -(jac[0*3+0]*jac[1*3+2]-jac[0*3+2]*jac[1*3+0])/(detj); |
464 |
|
|
|
465 |
|
|
j[2*3+0] =-(-jac[1*3+0]*jac[2*3+1]+jac[1*3+1]*jac[2*3+0])/(detj); |
466 |
|
|
j[2*3+1] = -(jac[0*3+0]*jac[2*3+1]-jac[0*3+1]*jac[2*3+0])/(detj); |
467 |
|
|
j[2*3+2] = (jac[0*3+0]*jac[1*3+1]-jac[0*3+1]*jac[1*3+0])/(detj); |
468 |
|
|
|
469 |
|
|
|
470 |
|
|
} |
471 |
|
|
|
472 |
|
|
|
473 |
|
|
|
474 |
|
|
|
475 |
|
|
void FEM_TETRA10::enregistrer(std::ostream& o) |
476 |
|
|
{ |
477 |
francois |
378 |
if (maillage!=NULL) |
478 |
|
|
if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_TETRA10($"<< get_lien_topologie()->get_id() << ",$" << 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() << ",$" << tab[8]->get_id() << ",$" << tab[9]->get_id()<< ");" << std::endl; |
479 |
|
|
else o << "%" << get_id() << "=FEM_TETRA10(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() << ",$" << tab[7]->get_id() << ",$" << tab[8]->get_id() << ",$" << tab[9]->get_id() << ");" << std::endl; |
480 |
|
|
else |
481 |
|
|
if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_TETRA10($"<< 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() << ",$" << tab[8]->get_id() << ",$" << tab[9]->get_id()<< ");" << std::endl; |
482 |
|
|
else o << "%" << get_id() << "=FEM_TETRA10(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() << ",$" << tab[8]->get_id() << ",$" << tab[9]->get_id() << ");" << std::endl; |
483 |
|
|
|
484 |
francois |
283 |
} |