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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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|
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|
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#include "gestionversion.h" |
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#include "fem_hexa20.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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|
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|
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FEM_HEXA20::FEM_HEXA20(unsigned long num,class MG_ELEMENT_MAILLAGE* mai,class FEM_NOEUD** tabnoeud):FEM_ELEMENT3(num,mai),FEM_TEMPLATE_ELEMENT<20>(tabnoeud) |
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{ |
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if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) 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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tab[10]->get_lien_element3()->ajouter(this); |
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tab[11]->get_lien_element3()->ajouter(this); |
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tab[12]->get_lien_element3()->ajouter(this); |
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tab[13]->get_lien_element3()->ajouter(this); |
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tab[14]->get_lien_element3()->ajouter(this); |
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tab[15]->get_lien_element3()->ajouter(this); |
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tab[16]->get_lien_element3()->ajouter(this); |
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tab[17]->get_lien_element3()->ajouter(this); |
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tab[18]->get_lien_element3()->ajouter(this); |
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tab[19]->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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|
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FEM_HEXA20::FEM_HEXA20(class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(mai),FEM_TEMPLATE_ELEMENT<20>(tabnoeud) |
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{ |
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if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) 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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tab[10]->get_lien_element3()->ajouter(this); |
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tab[11]->get_lien_element3()->ajouter(this); |
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tab[12]->get_lien_element3()->ajouter(this); |
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tab[13]->get_lien_element3()->ajouter(this); |
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tab[14]->get_lien_element3()->ajouter(this); |
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tab[15]->get_lien_element3()->ajouter(this); |
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tab[16]->get_lien_element3()->ajouter(this); |
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tab[17]->get_lien_element3()->ajouter(this); |
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tab[18]->get_lien_element3()->ajouter(this); |
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tab[19]->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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|
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FEM_HEXA20::FEM_HEXA20(unsigned long num,class MG_ELEMENT_TOPOLOGIQUE* topo,class FEM_NOEUD** tabnoeud):FEM_ELEMENT3(num,topo),FEM_TEMPLATE_ELEMENT<20>(tabnoeud) |
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{ |
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if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) 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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tab[10]->get_lien_element3()->ajouter(this); |
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tab[11]->get_lien_element3()->ajouter(this); |
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tab[12]->get_lien_element3()->ajouter(this); |
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tab[13]->get_lien_element3()->ajouter(this); |
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tab[14]->get_lien_element3()->ajouter(this); |
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tab[15]->get_lien_element3()->ajouter(this); |
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tab[16]->get_lien_element3()->ajouter(this); |
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tab[17]->get_lien_element3()->ajouter(this); |
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tab[18]->get_lien_element3()->ajouter(this); |
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tab[19]->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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|
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FEM_HEXA20::FEM_HEXA20(class MG_ELEMENT_TOPOLOGIQUE* topo,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(topo),FEM_TEMPLATE_ELEMENT<20>(tabnoeud) |
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{ |
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if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) 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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tab[10]->get_lien_element3()->ajouter(this); |
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tab[11]->get_lien_element3()->ajouter(this); |
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tab[12]->get_lien_element3()->ajouter(this); |
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tab[13]->get_lien_element3()->ajouter(this); |
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tab[14]->get_lien_element3()->ajouter(this); |
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tab[15]->get_lien_element3()->ajouter(this); |
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tab[16]->get_lien_element3()->ajouter(this); |
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tab[17]->get_lien_element3()->ajouter(this); |
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tab[18]->get_lien_element3()->ajouter(this); |
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tab[19]->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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|
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FEM_HEXA20::FEM_HEXA20(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<20>(tabnoeud) |
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{ |
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if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) 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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tab[10]->get_lien_element3()->ajouter(this); |
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tab[11]->get_lien_element3()->ajouter(this); |
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tab[12]->get_lien_element3()->ajouter(this); |
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tab[13]->get_lien_element3()->ajouter(this); |
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tab[14]->get_lien_element3()->ajouter(this); |
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tab[15]->get_lien_element3()->ajouter(this); |
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tab[16]->get_lien_element3()->ajouter(this); |
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tab[17]->get_lien_element3()->ajouter(this); |
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tab[18]->get_lien_element3()->ajouter(this); |
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tab[19]->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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|
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FEM_HEXA20::FEM_HEXA20(class MG_ELEMENT_TOPOLOGIQUE* topo,class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(topo,mai),FEM_TEMPLATE_ELEMENT<20>(tabnoeud) |
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{ |
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if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) 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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tab[10]->get_lien_element3()->ajouter(this); |
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tab[11]->get_lien_element3()->ajouter(this); |
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tab[12]->get_lien_element3()->ajouter(this); |
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tab[13]->get_lien_element3()->ajouter(this); |
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tab[14]->get_lien_element3()->ajouter(this); |
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tab[15]->get_lien_element3()->ajouter(this); |
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tab[16]->get_lien_element3()->ajouter(this); |
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tab[17]->get_lien_element3()->ajouter(this); |
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tab[18]->get_lien_element3()->ajouter(this); |
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tab[19]->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_HEXA20::FEM_HEXA20(FEM_HEXA20& mdd):FEM_ELEMENT3(mdd),FEM_TEMPLATE_ELEMENT<20>(mdd) |
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{ |
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if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) 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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tab[10]->get_lien_element3()->ajouter(this); |
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tab[11]->get_lien_element3()->ajouter(this); |
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tab[12]->get_lien_element3()->ajouter(this); |
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tab[13]->get_lien_element3()->ajouter(this); |
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tab[14]->get_lien_element3()->ajouter(this); |
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tab[15]->get_lien_element3()->ajouter(this); |
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tab[16]->get_lien_element3()->ajouter(this); |
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tab[17]->get_lien_element3()->ajouter(this); |
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tab[18]->get_lien_element3()->ajouter(this); |
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tab[19]->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_HEXA20::~FEM_HEXA20() |
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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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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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tab[10]->get_lien_element3()->supprimer(this); |
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tab[11]->get_lien_element3()->supprimer(this); |
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tab[12]->get_lien_element3()->supprimer(this); |
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tab[13]->get_lien_element3()->supprimer(this); |
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tab[14]->get_lien_element3()->supprimer(this); |
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tab[15]->get_lien_element3()->supprimer(this); |
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tab[16]->get_lien_element3()->supprimer(this); |
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tab[17]->get_lien_element3()->supprimer(this); |
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tab[18]->get_lien_element3()->supprimer(this); |
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tab[19]->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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|
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|
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FEM_ELEMENT_MAILLAGE* FEM_HEXA20::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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tabnoeud[8]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
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tabnoeud[9]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
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tabnoeud[10]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
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tabnoeud[11]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
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tabnoeud[12]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
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tabnoeud[13]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
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tabnoeud[14]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
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tabnoeud[15]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
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tabnoeud[16]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
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tabnoeud[17]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
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tabnoeud[18]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
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tabnoeud[19]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
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FEM_HEXA20* quad=new FEM_HEXA20(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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|
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|
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|
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|
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|
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int FEM_HEXA20::get_type_entite(void) |
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{ |
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return IDFEM_HEXA20; |
285 |
} |
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|
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int FEM_HEXA20::get_dimension(void) |
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{ |
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return 3; |
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} |
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|
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|
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|
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int FEM_HEXA20::get_nb_fem_noeud(void) |
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{ |
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return FEM_TEMPLATE_ELEMENT<20>::get_nb_fem_noeud(); |
297 |
} |
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|
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FEM_NOEUD* FEM_HEXA20::get_fem_noeud(int num) |
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{ |
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return FEM_TEMPLATE_ELEMENT<20>::get_fem_noeud(num); |
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} |
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|
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void FEM_HEXA20::change_noeud(int num,FEM_NOEUD* noeud) |
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{ |
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FEM_TEMPLATE_ELEMENT<20>::change_noeud(num,noeud); |
307 |
} |
308 |
|
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BOITE_3D& FEM_HEXA20::get_boite_3D(void) |
310 |
{ |
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return FEM_TEMPLATE_ELEMENT<20>::get_boite_3D(); |
312 |
} |
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|
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|
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void FEM_HEXA20::enregistrer(std::ostream& o) |
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{ |
317 |
if (maillage!=NULL) |
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if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_HEXA20($"<< get_lien_topologie()->get_id() << ",$" << 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() << ",$" << tab[10]->get_id()<< ",$" << tab[11]->get_id() << ",$" << tab[12]->get_id() << ",$" << tab[13]->get_id() << ",$" << tab[14]->get_id() << ",$" << tab[15]->get_id() << ",$" << tab[16]->get_id()<< ",$" << tab[17]->get_id()<< ",$" << tab[18]->get_id()<< ",$" << tab[19]->get_id()<< ");" << std::endl; |
319 |
else o << "%" << get_id() << "=FEM_HEXA20(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() << ",$" << tab[9]->get_id() << ",$" << tab[10]->get_id()<< ",$" << tab[11]->get_id() << ",$" << tab[12]->get_id() << ",$" << tab[13]->get_id() << ",$" << tab[14]->get_id() << ",$" << tab[15]->get_id() << ",$" << tab[16]->get_id()<< ",$" << tab[17]->get_id()<< ",$" << tab[18]->get_id()<< ",$" << tab[19]->get_id()<<");" << std::endl; |
320 |
else |
321 |
if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_HEXA20($"<< 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() << ",$" << tab[10]->get_id()<< ",$" << tab[11]->get_id() << ",$" << tab[12]->get_id() << ",$" << tab[13]->get_id() << ",$" << tab[14]->get_id() << ",$" << tab[15]->get_id() << ",$" << tab[16]->get_id()<< ",$" << tab[17]->get_id()<< ",$" << tab[18]->get_id()<< ",$" << tab[19]->get_id()<< ");" << std::endl; |
322 |
else o << "%" << get_id() << "=FEM_HEXA20(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() << ",$" << tab[10]->get_id()<< ",$" << tab[11]->get_id() << ",$" << tab[12]->get_id() << ",$" << tab[13]->get_id() << ",$" << tab[14]->get_id() << ",$" << tab[15]->get_id() << ",$" << tab[16]->get_id()<< ",$" << tab[17]->get_id()<< ",$" << tab[18]->get_id()<< ",$" << tab[19]->get_id()<<");" << std::endl; |
323 |
|
324 |
} |
325 |
int FEM_HEXA20::nb_fonction_interpolation(void) |
326 |
{ |
327 |
return 20; |
328 |
} |
329 |
|
330 |
|
331 |
double FEM_HEXA20::get_fonction_interpolation(int num,double *uv) |
332 |
{ |
333 |
double val; |
334 |
switch (num) |
335 |
{ |
336 |
case 1: |
337 |
{double a=-1; |
338 |
double b=-1; |
339 |
double c=-1; |
340 |
val=0.125*(1.+uv[0]*a)*(1.+uv[1]*b)*(1.+uv[2]*c)*(-2.+uv[0]*a+uv[1]*b+uv[2]*c); |
341 |
break;} |
342 |
case 3: |
343 |
{double a=1; |
344 |
double b=-1; |
345 |
double c=-1; |
346 |
val=0.125*(1.+uv[0]*a)*(1.+uv[1]*b)*(1.+uv[2]*c)*(-2.+uv[0]*a+uv[1]*b+uv[2]*c); |
347 |
break;} |
348 |
case 5: |
349 |
{double a=1; |
350 |
double b=1; |
351 |
double c=-1; |
352 |
val=0.125*(1.+uv[0]*a)*(1.+uv[1]*b)*(1.+uv[2]*c)*(-2.+uv[0]*a+uv[1]*b+uv[2]*c); |
353 |
break;} |
354 |
case 7: |
355 |
{double a=-1; |
356 |
double b=1; |
357 |
double c=-1; |
358 |
val=0.125*(1.+uv[0]*a)*(1.+uv[1]*b)*(1.+uv[2]*c)*(-2.+uv[0]*a+uv[1]*b+uv[2]*c); |
359 |
break;} |
360 |
case 13: |
361 |
{double a=-1; |
362 |
double b=-1; |
363 |
double c=1; |
364 |
val=0.125*(1.+uv[0]*a)*(1.+uv[1]*b)*(1.+uv[2]*c)*(-2.+uv[0]*a+uv[1]*b+uv[2]*c); |
365 |
break;} |
366 |
case 15: |
367 |
{double a=1; |
368 |
double b=-1; |
369 |
double c=1; |
370 |
val=0.125*(1.+uv[0]*a)*(1.+uv[1]*b)*(1.+uv[2]*c)*(-2.+uv[0]*a+uv[1]*b+uv[2]*c); |
371 |
break;} |
372 |
case 17: |
373 |
{double a=1; |
374 |
double b=1; |
375 |
double c=1; |
376 |
val=0.125*(1.+uv[0]*a)*(1.+uv[1]*b)*(1.+uv[2]*c)*(-2.+uv[0]*a+uv[1]*b+uv[2]*c); |
377 |
break;} |
378 |
case 19: |
379 |
{double a=-1; |
380 |
double b=1; |
381 |
double c=1; |
382 |
val=0.125*(1.+uv[0]*a)*(1.+uv[1]*b)*(1.+uv[2]*c)*(-2.+uv[0]*a+uv[1]*b+uv[2]*c); |
383 |
break;} |
384 |
case 2: |
385 |
{double a=0.; |
386 |
double b=-1; |
387 |
double c=-1; |
388 |
val=0.25*(1.-uv[0]*uv[0])*(1.+uv[1]*b)*(1.+uv[2]*c); |
389 |
break;} |
390 |
case 6: |
391 |
{double a=0.; |
392 |
double b=1; |
393 |
double c=-1; |
394 |
val=0.25*(1.-uv[0]*uv[0])*(1.+uv[1]*b)*(1.+uv[2]*c); |
395 |
break;} |
396 |
case 14: |
397 |
{double a=0.; |
398 |
double b=-1; |
399 |
double c=1; |
400 |
val=0.25*(1.-uv[0]*uv[0])*(1.+uv[1]*b)*(1.+uv[2]*c); |
401 |
break;} |
402 |
case 18: |
403 |
{double a=0.; |
404 |
double b=1; |
405 |
double c=1; |
406 |
val=0.25*(1.-uv[0]*uv[0])*(1.+uv[1]*b)*(1.+uv[2]*c); |
407 |
break;} |
408 |
case 4: |
409 |
{double a=1.; |
410 |
double b=0.; |
411 |
double c=-1; |
412 |
val=0.25*(1.+uv[0]*a)*(1.-uv[1]*uv[1])*(1.+uv[2]*c); |
413 |
break;} |
414 |
case 8: |
415 |
{double a=-1.; |
416 |
double b=0.; |
417 |
double c=-1; |
418 |
val=0.25*(1.+uv[0]*a)*(1.-uv[1]*uv[1])*(1.+uv[2]*c); |
419 |
break;} |
420 |
case 16: |
421 |
{double a=1.; |
422 |
double b=0.; |
423 |
double c=1; |
424 |
val=0.25*(1.+uv[0]*a)*(1.-uv[1]*uv[1])*(1.+uv[2]*c); |
425 |
break;} |
426 |
case 20: |
427 |
{double a=-1.; |
428 |
double b=0.; |
429 |
double c=1; |
430 |
val=0.25*(1.+uv[0]*a)*(1.-uv[1]*uv[1])*(1.+uv[2]*c); |
431 |
break;} |
432 |
case 9: |
433 |
{double a=-1.; |
434 |
double b=-1.; |
435 |
double c=0.; |
436 |
val=0.25*(1.+uv[0]*a)*(1.+uv[1]*b)*(1.-uv[2]*uv[2]); |
437 |
break;} |
438 |
case 10: |
439 |
{double a=1.; |
440 |
double b=-1.; |
441 |
double c=0.; |
442 |
val=0.25*(1.+uv[0]*a)*(1.+uv[1]*b)*(1.-uv[2]*uv[2]); |
443 |
break;} |
444 |
case 11: |
445 |
{double a=1.; |
446 |
double b=1.; |
447 |
double c=0.; |
448 |
val=0.25*(1.+uv[0]*a)*(1.+uv[1]*b)*(1.-uv[2]*uv[2]); |
449 |
break;} |
450 |
case 12: |
451 |
{double a=-1.; |
452 |
double b=1.; |
453 |
double c=0.; |
454 |
val=0.25*(1.+uv[0]*a)*(1.+uv[1]*b)*(1.-uv[2]*uv[2]); |
455 |
break;} |
456 |
|
457 |
|
458 |
} |
459 |
return val; |
460 |
} |
461 |
|
462 |
double FEM_HEXA20::get_fonction_derive_interpolation(int num,int num_variable,double *uv) |
463 |
{ |
464 |
double val; |
465 |
switch (num) |
466 |
{ |
467 |
case 1: |
468 |
{ |
469 |
double a=-1; |
470 |
double b=-1; |
471 |
double c=-1; |
472 |
switch (num_variable) |
473 |
{ |
474 |
case 1: |
475 |
val=0.125*a*(1+uv[1]*b)*(1+uv[2]*c)*(-1+2*uv[0]*a+uv[1]*b+uv[2]*c); |
476 |
break; |
477 |
case 2: |
478 |
val=0.125*b*(1+uv[0]*a)*(1+uv[2]*c)*(-1+uv[0]*a+2*uv[1]*b+uv[2]*c); |
479 |
break; |
480 |
case 3: |
481 |
val=0.125*c*(1+uv[0]*a)*(1+uv[1]*b)*(-1+uv[0]*a+uv[1]*b+2*uv[2]*c); |
482 |
break; |
483 |
} break;} |
484 |
case 3: |
485 |
{ |
486 |
double a=1; |
487 |
double b=-1; |
488 |
double c=-1; |
489 |
switch (num_variable) |
490 |
{ |
491 |
case 1: |
492 |
val=0.125*a*(1+uv[1]*b)*(1+uv[2]*c)*(-1+2*uv[0]*a+uv[1]*b+uv[2]*c); |
493 |
break; |
494 |
case 2: |
495 |
val=0.125*b*(1+uv[0]*a)*(1+uv[2]*c)*(-1+uv[0]*a+2*uv[1]*b+uv[2]*c); |
496 |
break; |
497 |
case 3: |
498 |
val=0.125*c*(1+uv[0]*a)*(1+uv[1]*b)*(-1+uv[0]*a+uv[1]*b+2*uv[2]*c); |
499 |
break; |
500 |
} break;} |
501 |
case 5: |
502 |
{ |
503 |
double a=1; |
504 |
double b=1; |
505 |
double c=-1; |
506 |
switch (num_variable) |
507 |
{ |
508 |
case 1: |
509 |
val=0.125*a*(1+uv[1]*b)*(1+uv[2]*c)*(-1+2*uv[0]*a+uv[1]*b+uv[2]*c); |
510 |
break; |
511 |
case 2: |
512 |
val=0.125*b*(1+uv[0]*a)*(1+uv[2]*c)*(-1+uv[0]*a+2*uv[1]*b+uv[2]*c); |
513 |
break; |
514 |
case 3: |
515 |
val=0.125*c*(1+uv[0]*a)*(1+uv[1]*b)*(-1+uv[0]*a+uv[1]*b+2*uv[2]*c); |
516 |
break; |
517 |
} break;} |
518 |
case 7: |
519 |
{ |
520 |
double a=-1; |
521 |
double b=1; |
522 |
double c=-1; |
523 |
switch (num_variable) |
524 |
{ |
525 |
case 1: |
526 |
val=0.125*a*(1+uv[1]*b)*(1+uv[2]*c)*(-1+2*uv[0]*a+uv[1]*b+uv[2]*c); |
527 |
break; |
528 |
case 2: |
529 |
val=0.125*b*(1+uv[0]*a)*(1+uv[2]*c)*(-1+uv[0]*a+2*uv[1]*b+uv[2]*c); |
530 |
break; |
531 |
case 3: |
532 |
val=0.125*c*(1+uv[0]*a)*(1+uv[1]*b)*(-1+uv[0]*a+uv[1]*b+2*uv[2]*c); |
533 |
break; |
534 |
} break;} |
535 |
case 13: |
536 |
{ |
537 |
double a=-1; |
538 |
double b=-1; |
539 |
double c=1; |
540 |
switch (num_variable) |
541 |
{ |
542 |
case 1: |
543 |
val=0.125*a*(1+uv[1]*b)*(1+uv[2]*c)*(-1+2*uv[0]*a+uv[1]*b+uv[2]*c); |
544 |
break; |
545 |
case 2: |
546 |
val=0.125*b*(1+uv[0]*a)*(1+uv[2]*c)*(-1+uv[0]*a+2*uv[1]*b+uv[2]*c); |
547 |
break; |
548 |
case 3: |
549 |
val=0.125*c*(1+uv[0]*a)*(1+uv[1]*b)*(-1+uv[0]*a+uv[1]*b+2*uv[2]*c); |
550 |
break; |
551 |
} break;} |
552 |
case 15: |
553 |
{ |
554 |
double a=1; |
555 |
double b=-1; |
556 |
double c=1; |
557 |
switch (num_variable) |
558 |
{ |
559 |
case 1: |
560 |
val=0.125*a*(1+uv[1]*b)*(1+uv[2]*c)*(-1+2*uv[0]*a+uv[1]*b+uv[2]*c); |
561 |
break; |
562 |
case 2: |
563 |
val=0.125*b*(1+uv[0]*a)*(1+uv[2]*c)*(-1+uv[0]*a+2*uv[1]*b+uv[2]*c); |
564 |
break; |
565 |
case 3: |
566 |
val=0.125*c*(1+uv[0]*a)*(1+uv[1]*b)*(-1+uv[0]*a+uv[1]*b+2*uv[2]*c); |
567 |
break; |
568 |
} break;} |
569 |
case 17: |
570 |
{ |
571 |
double a=1; |
572 |
double b=1; |
573 |
double c=1; |
574 |
switch (num_variable) |
575 |
{ |
576 |
case 1: |
577 |
val=0.125*a*(1+uv[1]*b)*(1+uv[2]*c)*(-1+2*uv[0]*a+uv[1]*b+uv[2]*c); |
578 |
break; |
579 |
case 2: |
580 |
val=0.125*b*(1+uv[0]*a)*(1+uv[2]*c)*(-1+uv[0]*a+2*uv[1]*b+uv[2]*c); |
581 |
break; |
582 |
case 3: |
583 |
val=0.125*c*(1+uv[0]*a)*(1+uv[1]*b)*(-1+uv[0]*a+uv[1]*b+2*uv[2]*c); |
584 |
break; |
585 |
} break;} |
586 |
case 19: |
587 |
{ |
588 |
double a=-1; |
589 |
double b=1; |
590 |
double c=1; |
591 |
switch (num_variable) |
592 |
{ |
593 |
case 1: |
594 |
val=0.125*a*(1+uv[1]*b)*(1+uv[2]*c)*(-1+2*uv[0]*a+uv[1]*b+uv[2]*c); |
595 |
break; |
596 |
case 2: |
597 |
val=0.125*b*(1+uv[0]*a)*(1+uv[2]*c)*(-1+uv[0]*a+2*uv[1]*b+uv[2]*c); |
598 |
break; |
599 |
case 3: |
600 |
val=0.125*c*(1+uv[0]*a)*(1+uv[1]*b)*(-1+uv[0]*a+uv[1]*b+2*uv[2]*c); |
601 |
break; |
602 |
} break;} |
603 |
case 2: |
604 |
{ |
605 |
double a=0; |
606 |
double b=-1; |
607 |
double c=-1; |
608 |
switch (num_variable) |
609 |
{ |
610 |
case 1: |
611 |
val=-0.5*uv[0]*(1+uv[1]*b)*(1+uv[2]*c); |
612 |
break; |
613 |
case 2: |
614 |
val=0.25*b*(1-uv[0]*uv[0])*(1+uv[2]*c); |
615 |
break; |
616 |
case 3: |
617 |
val=0.25*c*(1-uv[0]*uv[0])*(1+uv[1]*b); |
618 |
break; |
619 |
} break;} |
620 |
case 18: |
621 |
{ |
622 |
double a=0; |
623 |
double b=1; |
624 |
double c=1; |
625 |
switch (num_variable) |
626 |
{ |
627 |
case 1: |
628 |
val=-0.5*uv[0]*(1+uv[1]*b)*(1+uv[2]*c); |
629 |
break; |
630 |
case 2: |
631 |
val=0.25*b*(1-uv[0]*uv[0])*(1+uv[2]*c); |
632 |
break; |
633 |
case 3: |
634 |
val=0.25*c*(1-uv[0]*uv[0])*(1+uv[1]*b); |
635 |
break; |
636 |
} break;} |
637 |
case 14: |
638 |
{ |
639 |
double a=0; |
640 |
double b=-1; |
641 |
double c=1; |
642 |
switch (num_variable) |
643 |
{ |
644 |
case 1: |
645 |
val=-0.5*uv[0]*(1+uv[1]*b)*(1+uv[2]*c); |
646 |
break; |
647 |
case 2: |
648 |
val=0.25*b*(1-uv[0]*uv[0])*(1+uv[2]*c); |
649 |
break; |
650 |
case 3: |
651 |
val=0.25*c*(1-uv[0]*uv[0])*(1+uv[1]*b); |
652 |
break; |
653 |
} break;} |
654 |
case 6: |
655 |
{ |
656 |
double a=0; |
657 |
double b=1; |
658 |
double c=-1; |
659 |
switch (num_variable) |
660 |
{ |
661 |
case 1: |
662 |
val=-0.5*uv[0]*(1+uv[1]*b)*(1+uv[2]*c); |
663 |
break; |
664 |
case 2: |
665 |
val=0.25*b*(1-uv[0]*uv[0])*(1+uv[2]*c); |
666 |
break; |
667 |
case 3: |
668 |
val=0.25*c*(1-uv[0]*uv[0])*(1+uv[1]*b); |
669 |
break; |
670 |
} break;} |
671 |
case 4: |
672 |
{ |
673 |
double a=1; |
674 |
double b=0; |
675 |
double c=-1; |
676 |
switch (num_variable) |
677 |
{ |
678 |
case 1: |
679 |
val=0.25*a*(1-uv[1]*uv[1])*(1+uv[2]*c); |
680 |
break; |
681 |
case 2: |
682 |
val=-0.5*uv[1]*(1+uv[0]*a)*(1+uv[2]*c); |
683 |
break; |
684 |
case 3: |
685 |
val=0.25*c*(1+uv[0]*a)*(1-uv[1]*uv[1]); |
686 |
break; |
687 |
} break;} |
688 |
case 8: |
689 |
{ |
690 |
double a=-1; |
691 |
double b=0; |
692 |
double c=-1; |
693 |
switch (num_variable) |
694 |
{ |
695 |
case 1: |
696 |
val=0.25*a*(1-uv[1]*uv[1])*(1+uv[2]*c); |
697 |
break; |
698 |
case 2: |
699 |
val=-0.5*uv[1]*(1+uv[0]*a)*(1+uv[2]*c); |
700 |
break; |
701 |
case 3: |
702 |
val=0.25*c*(1+uv[0]*a)*(1-uv[1]*uv[1]); |
703 |
break; |
704 |
} break;} |
705 |
case 16: |
706 |
{ |
707 |
double a=1; |
708 |
double b=0; |
709 |
double c=1; |
710 |
switch (num_variable) |
711 |
{ |
712 |
case 1: |
713 |
val=0.25*a*(1-uv[1]*uv[1])*(1+uv[2]*c); |
714 |
break; |
715 |
case 2: |
716 |
val=-0.5*uv[1]*(1+uv[0]*a)*(1+uv[2]*c); |
717 |
break; |
718 |
case 3: |
719 |
val=0.25*c*(1+uv[0]*a)*(1-uv[1]*uv[1]); |
720 |
break; |
721 |
} break;} |
722 |
case 20: |
723 |
{ |
724 |
double a=-1; |
725 |
double b=0; |
726 |
double c=1; |
727 |
switch (num_variable) |
728 |
{ |
729 |
case 1: |
730 |
val=0.25*a*(1-uv[1]*uv[1])*(1+uv[2]*c); |
731 |
break; |
732 |
case 2: |
733 |
val=-0.5*uv[1]*(1+uv[0]*a)*(1+uv[2]*c); |
734 |
break; |
735 |
case 3: |
736 |
val=0.25*c*(1+uv[0]*a)*(1-uv[1]*uv[1]); |
737 |
break; |
738 |
} break;} |
739 |
case 9: |
740 |
{ |
741 |
double a=-1; |
742 |
double b=-1; |
743 |
double c=0.; |
744 |
switch (num_variable) |
745 |
{ |
746 |
case 1: |
747 |
val=0.25*a*(1+uv[1]*b)*(1-uv[2]*uv[2]); |
748 |
break; |
749 |
case 2: |
750 |
val=0.25*b*(1+uv[0]*a)*(1-uv[2]*uv[2]); |
751 |
break; |
752 |
case 3: |
753 |
val=-0.5*uv[2]*(1+uv[0]*a)*(1+uv[1]*b); |
754 |
break; |
755 |
} break;} |
756 |
case 10: |
757 |
{ |
758 |
double a=1; |
759 |
double b=-1; |
760 |
double c=0.; |
761 |
switch (num_variable) |
762 |
{ |
763 |
case 1: |
764 |
val=0.25*a*(1+uv[1]*b)*(1-uv[2]*uv[2]); |
765 |
break; |
766 |
case 2: |
767 |
val=0.25*b*(1+uv[0]*a)*(1-uv[2]*uv[2]); |
768 |
break; |
769 |
case 3: |
770 |
val=-0.5*uv[2]*(1+uv[0]*a)*(1+uv[1]*b); |
771 |
break; |
772 |
} break;} |
773 |
case 11: |
774 |
{ |
775 |
double a=1; |
776 |
double b=1; |
777 |
double c=0.; |
778 |
switch (num_variable) |
779 |
{ |
780 |
case 1: |
781 |
val=0.25*a*(1+uv[1]*b)*(1-uv[2]*uv[2]); |
782 |
break; |
783 |
case 2: |
784 |
val=0.25*b*(1+uv[0]*a)*(1-uv[2]*uv[2]); |
785 |
break; |
786 |
case 3: |
787 |
val=-0.5*uv[2]*(1+uv[0]*a)*(1+uv[1]*b); |
788 |
break; |
789 |
} break;} |
790 |
case 12: |
791 |
{ |
792 |
double a=-1; |
793 |
double b=1; |
794 |
double c=0.; |
795 |
switch (num_variable) |
796 |
{ |
797 |
case 1: |
798 |
val=0.25*a*(1+uv[1]*b)*(1-uv[2]*uv[2]); |
799 |
break; |
800 |
case 2: |
801 |
val=0.25*b*(1+uv[0]*a)*(1-uv[2]*uv[2]); |
802 |
break; |
803 |
case 3: |
804 |
val=-0.5*uv[2]*(1+uv[0]*a)*(1+uv[1]*b); |
805 |
break; |
806 |
} break;} |
807 |
|
808 |
} |
809 |
return val; |
810 |
} |
811 |
|
812 |
double FEM_HEXA20::get_jacobien(double* jac,double *uv,int& li,int& col,double unite) |
813 |
{ |
814 |
li=3;col=3; |
815 |
OT_TENSEUR Ni(3,20),Xi(20,3); |
816 |
for (int i=0;i<3;i++) |
817 |
for (int j=0;j<20;j++) |
818 |
Ni(i,j)=get_fonction_derive_interpolation(j+1,i+1,uv); |
819 |
for (int i=0;i<20;i++) |
820 |
{ |
821 |
double *xyz=tab[i]->get_coord(); |
822 |
Xi(i,0)=xyz[0]*unite; |
823 |
Xi(i,1)=xyz[1]*unite; |
824 |
Xi(i,2)=xyz[2]*unite; |
825 |
} |
826 |
OT_TENSEUR jacobi=Ni*Xi; |
827 |
jac[0]=jacobi(0,0).get_x(); |
828 |
jac[1]=jacobi(0,1).get_x(); |
829 |
jac[2]=jacobi(0,2).get_x(); |
830 |
jac[3]=jacobi(1,0).get_x(); |
831 |
jac[4]=jacobi(1,1).get_x(); |
832 |
jac[5]=jacobi(1,2).get_x(); |
833 |
jac[6]=jacobi(2,0).get_x(); |
834 |
jac[7]=jacobi(2,1).get_x(); |
835 |
jac[8]=jacobi(2,2).get_x(); |
836 |
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]; |
837 |
return det; |
838 |
|
839 |
} |
840 |
|
841 |
void FEM_HEXA20::get_inverse_jacob(double* j,double *uv,double unite) |
842 |
{ |
843 |
double jac[9]; |
844 |
int li,col; |
845 |
double detj=get_jacobien(jac,uv,li,col,unite); |
846 |
j[0*3+0] = (jac[1*3+1]*jac[2*3+2]-jac[1*3+2]*jac[2*3+1])/(detj); |
847 |
j[0*3+1] = -(jac[0*3+1]*jac[2*3+2]-jac[0*3+2]*jac[2*3+1])/(detj); |
848 |
j[0*3+2] =-(-jac[0*3+1]*jac[1*3+2]+jac[0*3+2]*jac[1*3+1])/(detj); |
849 |
|
850 |
j[1*3+0] = -(jac[1*3+0]*jac[2*3+2]-jac[1*3+2]*jac[2*3+0])/(detj); |
851 |
j[1*3+1] = (jac[0*3+0]*jac[2*3+2]-jac[0*3+2]*jac[2*3+0])/(detj); |
852 |
j[1*3+2] = -(jac[0*3+0]*jac[1*3+2]-jac[0*3+2]*jac[1*3+0])/(detj); |
853 |
|
854 |
j[2*3+0] =-(-jac[1*3+0]*jac[2*3+1]+jac[1*3+1]*jac[2*3+0])/(detj); |
855 |
j[2*3+1] = -(jac[0*3+0]*jac[2*3+1]-jac[0*3+1]*jac[2*3+0])/(detj); |
856 |
j[2*3+2] = (jac[0*3+0]*jac[1*3+1]-jac[0*3+1]*jac[1*3+0])/(detj); |
857 |
|
858 |
} |
859 |
|
860 |
|
861 |
|
862 |
int FEM_HEXA20::verifie_validite_decoupage_xfem(double *vol) |
863 |
{ |
864 |
|
865 |
} |