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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_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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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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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 |
310 |
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(class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(mai),FEM_TEMPLATE_ELEMENT<20>(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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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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francois |
378 |
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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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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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(class MG_ELEMENT_TOPOLOGIQUE* topo,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(topo),FEM_TEMPLATE_ELEMENT<20>(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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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(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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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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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(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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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 |
378 |
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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francois |
310 |
FEM_HEXA20::FEM_HEXA20(FEM_HEXA20& mdd):FEM_ELEMENT3(mdd),FEM_TEMPLATE_ELEMENT<20>(mdd) |
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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 |
310 |
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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francois |
663 |
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 |
310 |
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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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); |
| 261 |
|
|
tabnoeud[8]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
| 262 |
|
|
tabnoeud[9]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
| 263 |
|
|
tabnoeud[10]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
| 264 |
|
|
tabnoeud[11]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
| 265 |
|
|
tabnoeud[12]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
| 266 |
|
|
tabnoeud[13]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
| 267 |
|
|
tabnoeud[14]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
| 268 |
|
|
tabnoeud[15]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
| 269 |
|
|
tabnoeud[16]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
| 270 |
|
|
tabnoeud[17]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
| 271 |
|
|
tabnoeud[18]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
| 272 |
|
|
tabnoeud[19]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
| 273 |
|
|
FEM_HEXA20* quad=new FEM_HEXA20(get_id()+decalage,maillage,tabnoeud); |
| 274 |
|
|
femmai->ajouter_fem_element3(quad); |
| 275 |
|
|
return quad; |
| 276 |
|
|
} |
| 277 |
|
|
|
| 278 |
|
|
|
| 279 |
|
|
|
| 280 |
|
|
|
| 281 |
|
|
|
| 282 |
|
|
int FEM_HEXA20::get_type_entite(void) |
| 283 |
|
|
{ |
| 284 |
|
|
return IDFEM_HEXA20; |
| 285 |
|
|
} |
| 286 |
|
|
|
| 287 |
|
|
int FEM_HEXA20::get_dimension(void) |
| 288 |
|
|
{ |
| 289 |
|
|
return 3; |
| 290 |
|
|
} |
| 291 |
|
|
|
| 292 |
|
|
|
| 293 |
|
|
|
| 294 |
|
|
int FEM_HEXA20::get_nb_fem_noeud(void) |
| 295 |
|
|
{ |
| 296 |
|
|
return FEM_TEMPLATE_ELEMENT<20>::get_nb_fem_noeud(); |
| 297 |
|
|
} |
| 298 |
|
|
|
| 299 |
|
|
FEM_NOEUD* FEM_HEXA20::get_fem_noeud(int num) |
| 300 |
|
|
{ |
| 301 |
|
|
return FEM_TEMPLATE_ELEMENT<20>::get_fem_noeud(num); |
| 302 |
|
|
} |
| 303 |
|
|
|
| 304 |
|
|
void FEM_HEXA20::change_noeud(int num,FEM_NOEUD* noeud) |
| 305 |
|
|
{ |
| 306 |
|
|
FEM_TEMPLATE_ELEMENT<20>::change_noeud(num,noeud); |
| 307 |
|
|
} |
| 308 |
|
|
|
| 309 |
|
|
BOITE_3D& FEM_HEXA20::get_boite_3D(void) |
| 310 |
|
|
{ |
| 311 |
|
|
return FEM_TEMPLATE_ELEMENT<20>::get_boite_3D(); |
| 312 |
|
|
} |
| 313 |
|
|
|
| 314 |
|
|
|
| 315 |
|
|
void FEM_HEXA20::enregistrer(std::ostream& o) |
| 316 |
|
|
{ |
| 317 |
francois |
378 |
if (maillage!=NULL) |
| 318 |
|
|
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 |
francois |
310 |
} |
| 325 |
francois |
637 |
|
| 326 |
|
|
|
| 327 |
|
|
|
| 328 |
|
|
int FEM_HEXA20::get_nb_pt_gauss(int degre) |
| 329 |
|
|
{ |
| 330 |
|
|
if (degre<3) return 4; |
| 331 |
|
|
if (degre<4) return 6; |
| 332 |
|
|
if (degre<6) return 14; |
| 333 |
|
|
return 0; |
| 334 |
|
|
} |
| 335 |
|
|
|
| 336 |
|
|
void FEM_HEXA20::get_pt_gauss(int degre,int num,double &w,double *uvw) |
| 337 |
|
|
{ |
| 338 |
|
|
if (degre<3) |
| 339 |
|
|
{ |
| 340 |
|
|
if (num==0) {w=2.;uvw[0]=0.;uvw[1]=0.816496580927726;uvw[2]=-0,577350269189626;} |
| 341 |
|
|
if (num==1) {w=2.;uvw[0]=0.;uvw[1]=-0.816496580927726;uvw[2]=-0,577350269189626;} |
| 342 |
|
|
if (num==2) {w=2.;uvw[0]=-0.816496580927726;uvw[1]=0.;uvw[2]=0,577350269189626;} |
| 343 |
|
|
if (num==2) {w=2.;uvw[0]=0.816496580927726;uvw[1]=0.;uvw[2]=0,577350269189626;} |
| 344 |
|
|
return; |
| 345 |
|
|
} |
| 346 |
|
|
if (degre<4) |
| 347 |
|
|
{ |
| 348 |
|
|
if (num==0) {w=1.333333333333333;uvw[0]=1.;uvw[1]=0.;uvw[2]=0.;} |
| 349 |
|
|
if (num==1) {w=1.333333333333333;uvw[0]=-1.;uvw[1]=0.;uvw[2]=0.;} |
| 350 |
|
|
if (num==2) {w=1.333333333333333;uvw[0]=0.;uvw[1]=1.;uvw[2]=0.;} |
| 351 |
|
|
if (num==3) {w=1.333333333333333;uvw[0]=0.;uvw[1]=-1.;uvw[2]=0.;} |
| 352 |
|
|
if (num==4) {w=1.333333333333333;uvw[0]=0.;uvw[1]=0.;uvw[2]=1.;} |
| 353 |
|
|
if (num==5) {w=1.333333333333333;uvw[0]=0.;uvw[1]=0.;uvw[2]=-1.;} |
| 354 |
|
|
return; |
| 355 |
|
|
} |
| 356 |
|
|
if (degre<6) |
| 357 |
|
|
{ |
| 358 |
|
|
double a=0.795822425754221; |
| 359 |
|
|
double b=0.758786910639328; |
| 360 |
|
|
double w1=0.886426592797784; |
| 361 |
|
|
double w2=0.335180055401662; |
| 362 |
|
|
if (num==0) {w=w1;uvw[0]=a;uvw[1]=0.;uvw[2]=0.;} |
| 363 |
|
|
if (num==1) {w=w1;uvw[0]=-a;uvw[1]=0.;uvw[2]=0.;} |
| 364 |
|
|
if (num==2) {w=w1;uvw[0]=0.;uvw[1]=a;uvw[2]=0.;} |
| 365 |
|
|
if (num==3) {w=w1;uvw[0]=0.;uvw[1]=-a;uvw[2]=0.;} |
| 366 |
|
|
if (num==4) {w=w1;uvw[0]=0.;uvw[1]=0.;uvw[2]=a;} |
| 367 |
|
|
if (num==5) {w=w1;uvw[0]=0.;uvw[1]=0.;uvw[2]=-a;} |
| 368 |
|
|
if (num==6) {w=w2;uvw[0]=b;uvw[1]=b;uvw[2]=b;} |
| 369 |
|
|
if (num==7) {w=w2;uvw[0]=b;uvw[1]=-b;uvw[2]=-b;} |
| 370 |
|
|
if (num==8) {w=w2;uvw[0]=b;uvw[1]=b;uvw[2]=-b;} |
| 371 |
|
|
if (num==9) {w=w2;uvw[0]=b;uvw[1]=-b;uvw[2]=b;} |
| 372 |
|
|
if (num==10) {w=w2;uvw[0]=-b;uvw[1]=b;uvw[2]=b;} |
| 373 |
|
|
if (num==11) {w=w2;uvw[0]=-b;uvw[1]=-b;uvw[2]=-b;} |
| 374 |
|
|
if (num==12) {w=w2;uvw[0]=-b;uvw[1]=b;uvw[2]=-b;} |
| 375 |
|
|
if (num==13) {w=w2;uvw[0]=-b;uvw[1]=-b;uvw[2]=b;} |
| 376 |
|
|
return; |
| 377 |
|
|
} |
| 378 |
|
|
|
| 379 |
|
|
} |
| 380 |
francois |
638 |
int FEM_HEXA20::get_nb_fonction_interpolation(void) |
| 381 |
francois |
310 |
{ |
| 382 |
|
|
return 20; |
| 383 |
|
|
} |
| 384 |
francois |
638 |
int FEM_HEXA20::get_degremax_fonction_interpolation(void) |
| 385 |
|
|
{ |
| 386 |
|
|
return 4; |
| 387 |
|
|
} |
| 388 |
francois |
310 |
|
| 389 |
|
|
double FEM_HEXA20::get_fonction_interpolation(int num,double *uv) |
| 390 |
|
|
{ |
| 391 |
|
|
double val; |
| 392 |
|
|
switch (num) |
| 393 |
|
|
{ |
| 394 |
|
|
case 1: |
| 395 |
|
|
{double a=-1; |
| 396 |
|
|
double b=-1; |
| 397 |
|
|
double c=-1; |
| 398 |
|
|
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); |
| 399 |
|
|
break;} |
| 400 |
|
|
case 3: |
| 401 |
|
|
{double a=1; |
| 402 |
|
|
double b=-1; |
| 403 |
|
|
double c=-1; |
| 404 |
|
|
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); |
| 405 |
|
|
break;} |
| 406 |
|
|
case 5: |
| 407 |
|
|
{double a=1; |
| 408 |
|
|
double b=1; |
| 409 |
|
|
double c=-1; |
| 410 |
|
|
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); |
| 411 |
|
|
break;} |
| 412 |
|
|
case 7: |
| 413 |
|
|
{double a=-1; |
| 414 |
|
|
double b=1; |
| 415 |
|
|
double c=-1; |
| 416 |
|
|
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); |
| 417 |
|
|
break;} |
| 418 |
|
|
case 13: |
| 419 |
|
|
{double a=-1; |
| 420 |
|
|
double b=-1; |
| 421 |
|
|
double c=1; |
| 422 |
|
|
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); |
| 423 |
|
|
break;} |
| 424 |
|
|
case 15: |
| 425 |
|
|
{double a=1; |
| 426 |
|
|
double b=-1; |
| 427 |
|
|
double c=1; |
| 428 |
|
|
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); |
| 429 |
|
|
break;} |
| 430 |
|
|
case 17: |
| 431 |
|
|
{double a=1; |
| 432 |
|
|
double b=1; |
| 433 |
|
|
double c=1; |
| 434 |
|
|
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); |
| 435 |
|
|
break;} |
| 436 |
|
|
case 19: |
| 437 |
|
|
{double a=-1; |
| 438 |
|
|
double b=1; |
| 439 |
|
|
double c=1; |
| 440 |
|
|
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); |
| 441 |
|
|
break;} |
| 442 |
|
|
case 2: |
| 443 |
|
|
{double a=0.; |
| 444 |
|
|
double b=-1; |
| 445 |
|
|
double c=-1; |
| 446 |
|
|
val=0.25*(1.-uv[0]*uv[0])*(1.+uv[1]*b)*(1.+uv[2]*c); |
| 447 |
|
|
break;} |
| 448 |
|
|
case 6: |
| 449 |
|
|
{double a=0.; |
| 450 |
|
|
double b=1; |
| 451 |
|
|
double c=-1; |
| 452 |
|
|
val=0.25*(1.-uv[0]*uv[0])*(1.+uv[1]*b)*(1.+uv[2]*c); |
| 453 |
|
|
break;} |
| 454 |
|
|
case 14: |
| 455 |
|
|
{double a=0.; |
| 456 |
|
|
double b=-1; |
| 457 |
|
|
double c=1; |
| 458 |
|
|
val=0.25*(1.-uv[0]*uv[0])*(1.+uv[1]*b)*(1.+uv[2]*c); |
| 459 |
|
|
break;} |
| 460 |
|
|
case 18: |
| 461 |
|
|
{double a=0.; |
| 462 |
|
|
double b=1; |
| 463 |
|
|
double c=1; |
| 464 |
|
|
val=0.25*(1.-uv[0]*uv[0])*(1.+uv[1]*b)*(1.+uv[2]*c); |
| 465 |
|
|
break;} |
| 466 |
|
|
case 4: |
| 467 |
|
|
{double a=1.; |
| 468 |
|
|
double b=0.; |
| 469 |
|
|
double c=-1; |
| 470 |
|
|
val=0.25*(1.+uv[0]*a)*(1.-uv[1]*uv[1])*(1.+uv[2]*c); |
| 471 |
|
|
break;} |
| 472 |
|
|
case 8: |
| 473 |
|
|
{double a=-1.; |
| 474 |
|
|
double b=0.; |
| 475 |
|
|
double c=-1; |
| 476 |
|
|
val=0.25*(1.+uv[0]*a)*(1.-uv[1]*uv[1])*(1.+uv[2]*c); |
| 477 |
|
|
break;} |
| 478 |
|
|
case 16: |
| 479 |
|
|
{double a=1.; |
| 480 |
|
|
double b=0.; |
| 481 |
|
|
double c=1; |
| 482 |
|
|
val=0.25*(1.+uv[0]*a)*(1.-uv[1]*uv[1])*(1.+uv[2]*c); |
| 483 |
|
|
break;} |
| 484 |
|
|
case 20: |
| 485 |
|
|
{double a=-1.; |
| 486 |
|
|
double b=0.; |
| 487 |
|
|
double c=1; |
| 488 |
|
|
val=0.25*(1.+uv[0]*a)*(1.-uv[1]*uv[1])*(1.+uv[2]*c); |
| 489 |
|
|
break;} |
| 490 |
|
|
case 9: |
| 491 |
|
|
{double a=-1.; |
| 492 |
|
|
double b=-1.; |
| 493 |
|
|
double c=0.; |
| 494 |
|
|
val=0.25*(1.+uv[0]*a)*(1.+uv[1]*b)*(1.-uv[2]*uv[2]); |
| 495 |
|
|
break;} |
| 496 |
|
|
case 10: |
| 497 |
|
|
{double a=1.; |
| 498 |
|
|
double b=-1.; |
| 499 |
|
|
double c=0.; |
| 500 |
|
|
val=0.25*(1.+uv[0]*a)*(1.+uv[1]*b)*(1.-uv[2]*uv[2]); |
| 501 |
|
|
break;} |
| 502 |
|
|
case 11: |
| 503 |
|
|
{double a=1.; |
| 504 |
|
|
double b=1.; |
| 505 |
|
|
double c=0.; |
| 506 |
|
|
val=0.25*(1.+uv[0]*a)*(1.+uv[1]*b)*(1.-uv[2]*uv[2]); |
| 507 |
|
|
break;} |
| 508 |
|
|
case 12: |
| 509 |
|
|
{double a=-1.; |
| 510 |
|
|
double b=1.; |
| 511 |
|
|
double c=0.; |
| 512 |
|
|
val=0.25*(1.+uv[0]*a)*(1.+uv[1]*b)*(1.-uv[2]*uv[2]); |
| 513 |
|
|
break;} |
| 514 |
|
|
|
| 515 |
|
|
|
| 516 |
|
|
} |
| 517 |
|
|
return val; |
| 518 |
|
|
} |
| 519 |
francois |
684 |
void FEM_HEXA20::reinit_boite_3D(void) |
| 520 |
|
|
{ |
| 521 |
|
|
FEM_TEMPLATE_ELEMENT<20>::reinit_boite_3D(); |
| 522 |
|
|
} |
| 523 |
francois |
310 |
|
| 524 |
|
|
double FEM_HEXA20::get_fonction_derive_interpolation(int num,int num_variable,double *uv) |
| 525 |
|
|
{ |
| 526 |
|
|
double val; |
| 527 |
|
|
switch (num) |
| 528 |
|
|
{ |
| 529 |
|
|
case 1: |
| 530 |
|
|
{ |
| 531 |
|
|
double a=-1; |
| 532 |
|
|
double b=-1; |
| 533 |
|
|
double c=-1; |
| 534 |
|
|
switch (num_variable) |
| 535 |
|
|
{ |
| 536 |
|
|
case 1: |
| 537 |
|
|
val=0.125*a*(1+uv[1]*b)*(1+uv[2]*c)*(-1+2*uv[0]*a+uv[1]*b+uv[2]*c); |
| 538 |
|
|
break; |
| 539 |
|
|
case 2: |
| 540 |
|
|
val=0.125*b*(1+uv[0]*a)*(1+uv[2]*c)*(-1+uv[0]*a+2*uv[1]*b+uv[2]*c); |
| 541 |
|
|
break; |
| 542 |
|
|
case 3: |
| 543 |
|
|
val=0.125*c*(1+uv[0]*a)*(1+uv[1]*b)*(-1+uv[0]*a+uv[1]*b+2*uv[2]*c); |
| 544 |
|
|
break; |
| 545 |
|
|
} break;} |
| 546 |
|
|
case 3: |
| 547 |
|
|
{ |
| 548 |
|
|
double a=1; |
| 549 |
|
|
double b=-1; |
| 550 |
|
|
double c=-1; |
| 551 |
|
|
switch (num_variable) |
| 552 |
|
|
{ |
| 553 |
|
|
case 1: |
| 554 |
|
|
val=0.125*a*(1+uv[1]*b)*(1+uv[2]*c)*(-1+2*uv[0]*a+uv[1]*b+uv[2]*c); |
| 555 |
|
|
break; |
| 556 |
|
|
case 2: |
| 557 |
|
|
val=0.125*b*(1+uv[0]*a)*(1+uv[2]*c)*(-1+uv[0]*a+2*uv[1]*b+uv[2]*c); |
| 558 |
|
|
break; |
| 559 |
|
|
case 3: |
| 560 |
|
|
val=0.125*c*(1+uv[0]*a)*(1+uv[1]*b)*(-1+uv[0]*a+uv[1]*b+2*uv[2]*c); |
| 561 |
|
|
break; |
| 562 |
|
|
} break;} |
| 563 |
|
|
case 5: |
| 564 |
|
|
{ |
| 565 |
|
|
double a=1; |
| 566 |
|
|
double b=1; |
| 567 |
|
|
double c=-1; |
| 568 |
|
|
switch (num_variable) |
| 569 |
|
|
{ |
| 570 |
|
|
case 1: |
| 571 |
|
|
val=0.125*a*(1+uv[1]*b)*(1+uv[2]*c)*(-1+2*uv[0]*a+uv[1]*b+uv[2]*c); |
| 572 |
|
|
break; |
| 573 |
|
|
case 2: |
| 574 |
|
|
val=0.125*b*(1+uv[0]*a)*(1+uv[2]*c)*(-1+uv[0]*a+2*uv[1]*b+uv[2]*c); |
| 575 |
|
|
break; |
| 576 |
|
|
case 3: |
| 577 |
|
|
val=0.125*c*(1+uv[0]*a)*(1+uv[1]*b)*(-1+uv[0]*a+uv[1]*b+2*uv[2]*c); |
| 578 |
|
|
break; |
| 579 |
|
|
} break;} |
| 580 |
|
|
case 7: |
| 581 |
|
|
{ |
| 582 |
|
|
double a=-1; |
| 583 |
|
|
double b=1; |
| 584 |
|
|
double c=-1; |
| 585 |
|
|
switch (num_variable) |
| 586 |
|
|
{ |
| 587 |
|
|
case 1: |
| 588 |
|
|
val=0.125*a*(1+uv[1]*b)*(1+uv[2]*c)*(-1+2*uv[0]*a+uv[1]*b+uv[2]*c); |
| 589 |
|
|
break; |
| 590 |
|
|
case 2: |
| 591 |
|
|
val=0.125*b*(1+uv[0]*a)*(1+uv[2]*c)*(-1+uv[0]*a+2*uv[1]*b+uv[2]*c); |
| 592 |
|
|
break; |
| 593 |
|
|
case 3: |
| 594 |
|
|
val=0.125*c*(1+uv[0]*a)*(1+uv[1]*b)*(-1+uv[0]*a+uv[1]*b+2*uv[2]*c); |
| 595 |
|
|
break; |
| 596 |
|
|
} break;} |
| 597 |
|
|
case 13: |
| 598 |
|
|
{ |
| 599 |
|
|
double a=-1; |
| 600 |
|
|
double b=-1; |
| 601 |
|
|
double c=1; |
| 602 |
|
|
switch (num_variable) |
| 603 |
|
|
{ |
| 604 |
|
|
case 1: |
| 605 |
|
|
val=0.125*a*(1+uv[1]*b)*(1+uv[2]*c)*(-1+2*uv[0]*a+uv[1]*b+uv[2]*c); |
| 606 |
|
|
break; |
| 607 |
|
|
case 2: |
| 608 |
|
|
val=0.125*b*(1+uv[0]*a)*(1+uv[2]*c)*(-1+uv[0]*a+2*uv[1]*b+uv[2]*c); |
| 609 |
|
|
break; |
| 610 |
|
|
case 3: |
| 611 |
|
|
val=0.125*c*(1+uv[0]*a)*(1+uv[1]*b)*(-1+uv[0]*a+uv[1]*b+2*uv[2]*c); |
| 612 |
|
|
break; |
| 613 |
|
|
} break;} |
| 614 |
|
|
case 15: |
| 615 |
|
|
{ |
| 616 |
|
|
double a=1; |
| 617 |
|
|
double b=-1; |
| 618 |
|
|
double c=1; |
| 619 |
|
|
switch (num_variable) |
| 620 |
|
|
{ |
| 621 |
|
|
case 1: |
| 622 |
|
|
val=0.125*a*(1+uv[1]*b)*(1+uv[2]*c)*(-1+2*uv[0]*a+uv[1]*b+uv[2]*c); |
| 623 |
|
|
break; |
| 624 |
|
|
case 2: |
| 625 |
|
|
val=0.125*b*(1+uv[0]*a)*(1+uv[2]*c)*(-1+uv[0]*a+2*uv[1]*b+uv[2]*c); |
| 626 |
|
|
break; |
| 627 |
|
|
case 3: |
| 628 |
|
|
val=0.125*c*(1+uv[0]*a)*(1+uv[1]*b)*(-1+uv[0]*a+uv[1]*b+2*uv[2]*c); |
| 629 |
|
|
break; |
| 630 |
|
|
} break;} |
| 631 |
|
|
case 17: |
| 632 |
|
|
{ |
| 633 |
|
|
double a=1; |
| 634 |
|
|
double b=1; |
| 635 |
|
|
double c=1; |
| 636 |
|
|
switch (num_variable) |
| 637 |
|
|
{ |
| 638 |
|
|
case 1: |
| 639 |
|
|
val=0.125*a*(1+uv[1]*b)*(1+uv[2]*c)*(-1+2*uv[0]*a+uv[1]*b+uv[2]*c); |
| 640 |
|
|
break; |
| 641 |
|
|
case 2: |
| 642 |
|
|
val=0.125*b*(1+uv[0]*a)*(1+uv[2]*c)*(-1+uv[0]*a+2*uv[1]*b+uv[2]*c); |
| 643 |
|
|
break; |
| 644 |
|
|
case 3: |
| 645 |
|
|
val=0.125*c*(1+uv[0]*a)*(1+uv[1]*b)*(-1+uv[0]*a+uv[1]*b+2*uv[2]*c); |
| 646 |
|
|
break; |
| 647 |
|
|
} break;} |
| 648 |
|
|
case 19: |
| 649 |
|
|
{ |
| 650 |
|
|
double a=-1; |
| 651 |
|
|
double b=1; |
| 652 |
|
|
double c=1; |
| 653 |
|
|
switch (num_variable) |
| 654 |
|
|
{ |
| 655 |
|
|
case 1: |
| 656 |
|
|
val=0.125*a*(1+uv[1]*b)*(1+uv[2]*c)*(-1+2*uv[0]*a+uv[1]*b+uv[2]*c); |
| 657 |
|
|
break; |
| 658 |
|
|
case 2: |
| 659 |
|
|
val=0.125*b*(1+uv[0]*a)*(1+uv[2]*c)*(-1+uv[0]*a+2*uv[1]*b+uv[2]*c); |
| 660 |
|
|
break; |
| 661 |
|
|
case 3: |
| 662 |
|
|
val=0.125*c*(1+uv[0]*a)*(1+uv[1]*b)*(-1+uv[0]*a+uv[1]*b+2*uv[2]*c); |
| 663 |
|
|
break; |
| 664 |
|
|
} break;} |
| 665 |
|
|
case 2: |
| 666 |
|
|
{ |
| 667 |
|
|
double a=0; |
| 668 |
|
|
double b=-1; |
| 669 |
|
|
double c=-1; |
| 670 |
|
|
switch (num_variable) |
| 671 |
|
|
{ |
| 672 |
|
|
case 1: |
| 673 |
|
|
val=-0.5*uv[0]*(1+uv[1]*b)*(1+uv[2]*c); |
| 674 |
|
|
break; |
| 675 |
|
|
case 2: |
| 676 |
|
|
val=0.25*b*(1-uv[0]*uv[0])*(1+uv[2]*c); |
| 677 |
|
|
break; |
| 678 |
|
|
case 3: |
| 679 |
|
|
val=0.25*c*(1-uv[0]*uv[0])*(1+uv[1]*b); |
| 680 |
|
|
break; |
| 681 |
|
|
} break;} |
| 682 |
|
|
case 18: |
| 683 |
|
|
{ |
| 684 |
|
|
double a=0; |
| 685 |
|
|
double b=1; |
| 686 |
|
|
double c=1; |
| 687 |
|
|
switch (num_variable) |
| 688 |
|
|
{ |
| 689 |
|
|
case 1: |
| 690 |
|
|
val=-0.5*uv[0]*(1+uv[1]*b)*(1+uv[2]*c); |
| 691 |
|
|
break; |
| 692 |
|
|
case 2: |
| 693 |
|
|
val=0.25*b*(1-uv[0]*uv[0])*(1+uv[2]*c); |
| 694 |
|
|
break; |
| 695 |
|
|
case 3: |
| 696 |
|
|
val=0.25*c*(1-uv[0]*uv[0])*(1+uv[1]*b); |
| 697 |
|
|
break; |
| 698 |
|
|
} break;} |
| 699 |
|
|
case 14: |
| 700 |
|
|
{ |
| 701 |
|
|
double a=0; |
| 702 |
|
|
double b=-1; |
| 703 |
|
|
double c=1; |
| 704 |
|
|
switch (num_variable) |
| 705 |
|
|
{ |
| 706 |
|
|
case 1: |
| 707 |
|
|
val=-0.5*uv[0]*(1+uv[1]*b)*(1+uv[2]*c); |
| 708 |
|
|
break; |
| 709 |
|
|
case 2: |
| 710 |
|
|
val=0.25*b*(1-uv[0]*uv[0])*(1+uv[2]*c); |
| 711 |
|
|
break; |
| 712 |
|
|
case 3: |
| 713 |
|
|
val=0.25*c*(1-uv[0]*uv[0])*(1+uv[1]*b); |
| 714 |
|
|
break; |
| 715 |
|
|
} break;} |
| 716 |
|
|
case 6: |
| 717 |
|
|
{ |
| 718 |
|
|
double a=0; |
| 719 |
|
|
double b=1; |
| 720 |
|
|
double c=-1; |
| 721 |
|
|
switch (num_variable) |
| 722 |
|
|
{ |
| 723 |
|
|
case 1: |
| 724 |
|
|
val=-0.5*uv[0]*(1+uv[1]*b)*(1+uv[2]*c); |
| 725 |
|
|
break; |
| 726 |
|
|
case 2: |
| 727 |
|
|
val=0.25*b*(1-uv[0]*uv[0])*(1+uv[2]*c); |
| 728 |
|
|
break; |
| 729 |
|
|
case 3: |
| 730 |
|
|
val=0.25*c*(1-uv[0]*uv[0])*(1+uv[1]*b); |
| 731 |
|
|
break; |
| 732 |
|
|
} break;} |
| 733 |
|
|
case 4: |
| 734 |
|
|
{ |
| 735 |
|
|
double a=1; |
| 736 |
|
|
double b=0; |
| 737 |
|
|
double c=-1; |
| 738 |
|
|
switch (num_variable) |
| 739 |
|
|
{ |
| 740 |
|
|
case 1: |
| 741 |
|
|
val=0.25*a*(1-uv[1]*uv[1])*(1+uv[2]*c); |
| 742 |
|
|
break; |
| 743 |
|
|
case 2: |
| 744 |
|
|
val=-0.5*uv[1]*(1+uv[0]*a)*(1+uv[2]*c); |
| 745 |
|
|
break; |
| 746 |
|
|
case 3: |
| 747 |
|
|
val=0.25*c*(1+uv[0]*a)*(1-uv[1]*uv[1]); |
| 748 |
|
|
break; |
| 749 |
|
|
} break;} |
| 750 |
|
|
case 8: |
| 751 |
|
|
{ |
| 752 |
|
|
double a=-1; |
| 753 |
|
|
double b=0; |
| 754 |
|
|
double c=-1; |
| 755 |
|
|
switch (num_variable) |
| 756 |
|
|
{ |
| 757 |
|
|
case 1: |
| 758 |
|
|
val=0.25*a*(1-uv[1]*uv[1])*(1+uv[2]*c); |
| 759 |
|
|
break; |
| 760 |
|
|
case 2: |
| 761 |
|
|
val=-0.5*uv[1]*(1+uv[0]*a)*(1+uv[2]*c); |
| 762 |
|
|
break; |
| 763 |
|
|
case 3: |
| 764 |
|
|
val=0.25*c*(1+uv[0]*a)*(1-uv[1]*uv[1]); |
| 765 |
|
|
break; |
| 766 |
|
|
} break;} |
| 767 |
|
|
case 16: |
| 768 |
|
|
{ |
| 769 |
|
|
double a=1; |
| 770 |
|
|
double b=0; |
| 771 |
|
|
double c=1; |
| 772 |
|
|
switch (num_variable) |
| 773 |
|
|
{ |
| 774 |
|
|
case 1: |
| 775 |
|
|
val=0.25*a*(1-uv[1]*uv[1])*(1+uv[2]*c); |
| 776 |
|
|
break; |
| 777 |
|
|
case 2: |
| 778 |
|
|
val=-0.5*uv[1]*(1+uv[0]*a)*(1+uv[2]*c); |
| 779 |
|
|
break; |
| 780 |
|
|
case 3: |
| 781 |
|
|
val=0.25*c*(1+uv[0]*a)*(1-uv[1]*uv[1]); |
| 782 |
|
|
break; |
| 783 |
|
|
} break;} |
| 784 |
|
|
case 20: |
| 785 |
|
|
{ |
| 786 |
|
|
double a=-1; |
| 787 |
|
|
double b=0; |
| 788 |
|
|
double c=1; |
| 789 |
|
|
switch (num_variable) |
| 790 |
|
|
{ |
| 791 |
|
|
case 1: |
| 792 |
|
|
val=0.25*a*(1-uv[1]*uv[1])*(1+uv[2]*c); |
| 793 |
|
|
break; |
| 794 |
|
|
case 2: |
| 795 |
|
|
val=-0.5*uv[1]*(1+uv[0]*a)*(1+uv[2]*c); |
| 796 |
|
|
break; |
| 797 |
|
|
case 3: |
| 798 |
|
|
val=0.25*c*(1+uv[0]*a)*(1-uv[1]*uv[1]); |
| 799 |
|
|
break; |
| 800 |
|
|
} break;} |
| 801 |
|
|
case 9: |
| 802 |
|
|
{ |
| 803 |
|
|
double a=-1; |
| 804 |
|
|
double b=-1; |
| 805 |
|
|
double c=0.; |
| 806 |
|
|
switch (num_variable) |
| 807 |
|
|
{ |
| 808 |
|
|
case 1: |
| 809 |
|
|
val=0.25*a*(1+uv[1]*b)*(1-uv[2]*uv[2]); |
| 810 |
|
|
break; |
| 811 |
|
|
case 2: |
| 812 |
|
|
val=0.25*b*(1+uv[0]*a)*(1-uv[2]*uv[2]); |
| 813 |
|
|
break; |
| 814 |
|
|
case 3: |
| 815 |
|
|
val=-0.5*uv[2]*(1+uv[0]*a)*(1+uv[1]*b); |
| 816 |
|
|
break; |
| 817 |
|
|
} break;} |
| 818 |
|
|
case 10: |
| 819 |
|
|
{ |
| 820 |
|
|
double a=1; |
| 821 |
|
|
double b=-1; |
| 822 |
|
|
double c=0.; |
| 823 |
|
|
switch (num_variable) |
| 824 |
|
|
{ |
| 825 |
|
|
case 1: |
| 826 |
|
|
val=0.25*a*(1+uv[1]*b)*(1-uv[2]*uv[2]); |
| 827 |
|
|
break; |
| 828 |
|
|
case 2: |
| 829 |
|
|
val=0.25*b*(1+uv[0]*a)*(1-uv[2]*uv[2]); |
| 830 |
|
|
break; |
| 831 |
|
|
case 3: |
| 832 |
|
|
val=-0.5*uv[2]*(1+uv[0]*a)*(1+uv[1]*b); |
| 833 |
|
|
break; |
| 834 |
|
|
} break;} |
| 835 |
|
|
case 11: |
| 836 |
|
|
{ |
| 837 |
|
|
double a=1; |
| 838 |
|
|
double b=1; |
| 839 |
|
|
double c=0.; |
| 840 |
|
|
switch (num_variable) |
| 841 |
|
|
{ |
| 842 |
|
|
case 1: |
| 843 |
|
|
val=0.25*a*(1+uv[1]*b)*(1-uv[2]*uv[2]); |
| 844 |
|
|
break; |
| 845 |
|
|
case 2: |
| 846 |
|
|
val=0.25*b*(1+uv[0]*a)*(1-uv[2]*uv[2]); |
| 847 |
|
|
break; |
| 848 |
|
|
case 3: |
| 849 |
|
|
val=-0.5*uv[2]*(1+uv[0]*a)*(1+uv[1]*b); |
| 850 |
|
|
break; |
| 851 |
|
|
} break;} |
| 852 |
|
|
case 12: |
| 853 |
|
|
{ |
| 854 |
|
|
double a=-1; |
| 855 |
|
|
double b=1; |
| 856 |
|
|
double c=0.; |
| 857 |
|
|
switch (num_variable) |
| 858 |
|
|
{ |
| 859 |
|
|
case 1: |
| 860 |
|
|
val=0.25*a*(1+uv[1]*b)*(1-uv[2]*uv[2]); |
| 861 |
|
|
break; |
| 862 |
|
|
case 2: |
| 863 |
|
|
val=0.25*b*(1+uv[0]*a)*(1-uv[2]*uv[2]); |
| 864 |
|
|
break; |
| 865 |
|
|
case 3: |
| 866 |
|
|
val=-0.5*uv[2]*(1+uv[0]*a)*(1+uv[1]*b); |
| 867 |
|
|
break; |
| 868 |
|
|
} break;} |
| 869 |
|
|
|
| 870 |
|
|
} |
| 871 |
|
|
return val; |
| 872 |
|
|
} |
| 873 |
|
|
|
| 874 |
|
|
double FEM_HEXA20::get_jacobien(double* jac,double *uv,int& li,int& col,double unite) |
| 875 |
|
|
{ |
| 876 |
|
|
li=3;col=3; |
| 877 |
|
|
OT_TENSEUR Ni(3,20),Xi(20,3); |
| 878 |
|
|
for (int i=0;i<3;i++) |
| 879 |
|
|
for (int j=0;j<20;j++) |
| 880 |
|
|
Ni(i,j)=get_fonction_derive_interpolation(j+1,i+1,uv); |
| 881 |
|
|
for (int i=0;i<20;i++) |
| 882 |
|
|
{ |
| 883 |
|
|
double *xyz=tab[i]->get_coord(); |
| 884 |
|
|
Xi(i,0)=xyz[0]*unite; |
| 885 |
|
|
Xi(i,1)=xyz[1]*unite; |
| 886 |
|
|
Xi(i,2)=xyz[2]*unite; |
| 887 |
|
|
} |
| 888 |
|
|
OT_TENSEUR jacobi=Ni*Xi; |
| 889 |
|
|
jac[0]=jacobi(0,0).get_x(); |
| 890 |
|
|
jac[1]=jacobi(0,1).get_x(); |
| 891 |
|
|
jac[2]=jacobi(0,2).get_x(); |
| 892 |
|
|
jac[3]=jacobi(1,0).get_x(); |
| 893 |
|
|
jac[4]=jacobi(1,1).get_x(); |
| 894 |
|
|
jac[5]=jacobi(1,2).get_x(); |
| 895 |
|
|
jac[6]=jacobi(2,0).get_x(); |
| 896 |
|
|
jac[7]=jacobi(2,1).get_x(); |
| 897 |
|
|
jac[8]=jacobi(2,2).get_x(); |
| 898 |
|
|
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]; |
| 899 |
|
|
return det; |
| 900 |
|
|
|
| 901 |
|
|
} |
| 902 |
|
|
|
| 903 |
|
|
void FEM_HEXA20::get_inverse_jacob(double* j,double *uv,double unite) |
| 904 |
|
|
{ |
| 905 |
|
|
double jac[9]; |
| 906 |
|
|
int li,col; |
| 907 |
|
|
double detj=get_jacobien(jac,uv,li,col,unite); |
| 908 |
|
|
j[0*3+0] = (jac[1*3+1]*jac[2*3+2]-jac[1*3+2]*jac[2*3+1])/(detj); |
| 909 |
|
|
j[0*3+1] = -(jac[0*3+1]*jac[2*3+2]-jac[0*3+2]*jac[2*3+1])/(detj); |
| 910 |
|
|
j[0*3+2] =-(-jac[0*3+1]*jac[1*3+2]+jac[0*3+2]*jac[1*3+1])/(detj); |
| 911 |
|
|
|
| 912 |
|
|
j[1*3+0] = -(jac[1*3+0]*jac[2*3+2]-jac[1*3+2]*jac[2*3+0])/(detj); |
| 913 |
|
|
j[1*3+1] = (jac[0*3+0]*jac[2*3+2]-jac[0*3+2]*jac[2*3+0])/(detj); |
| 914 |
|
|
j[1*3+2] = -(jac[0*3+0]*jac[1*3+2]-jac[0*3+2]*jac[1*3+0])/(detj); |
| 915 |
|
|
|
| 916 |
|
|
j[2*3+0] =-(-jac[1*3+0]*jac[2*3+1]+jac[1*3+1]*jac[2*3+0])/(detj); |
| 917 |
|
|
j[2*3+1] = -(jac[0*3+0]*jac[2*3+1]-jac[0*3+1]*jac[2*3+0])/(detj); |
| 918 |
|
|
j[2*3+2] = (jac[0*3+0]*jac[1*3+1]-jac[0*3+1]*jac[1*3+0])/(detj); |
| 919 |
|
|
|
| 920 |
francois |
405 |
} |
| 921 |
|
|
|
| 922 |
francois |
635 |
bool FEM_HEXA20::valide_parametre_EF(double* uvw) |
| 923 |
|
|
{ |
| 924 |
francois |
674 |
if (uvw[0]>=-1.-1e-10) |
| 925 |
|
|
if (uvw[1]>=-1.-1e-10) |
| 926 |
|
|
if (uvw[2]>=-1.-1e-10) |
| 927 |
francois |
635 |
if (uvw[0]<=1.+1e-10) |
| 928 |
|
|
if (uvw[1]<=1.+1e-10) |
| 929 |
|
|
if (uvw[2]<=1.+1e-10) |
| 930 |
|
|
return true; |
| 931 |
|
|
return false; |
| 932 |
|
|
} |
| 933 |
francois |
405 |
|
| 934 |
francois |
406 |
int FEM_HEXA20::verifie_validite_decoupage_xfem(double *vol) |
| 935 |
francois |
405 |
{ |
| 936 |
|
|
|
| 937 |
francois |
310 |
} |
