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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_quadrangle8.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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francois |
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#include "ot_quadrature_gauss.h" |
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francois |
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FEM_QUADRANGLE8::FEM_QUADRANGLE8(unsigned long num,class MG_ELEMENT_MAILLAGE* mai,class FEM_NOEUD** tabnoeud):FEM_ELEMENT2(num,mai),FEM_TEMPLATE_ELEMENT<8>(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_element2()->ajouter(this); |
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tab[1]->get_lien_element2()->ajouter(this); |
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tab[2]->get_lien_element2()->ajouter(this); |
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tab[3]->get_lien_element2()->ajouter(this); |
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tab[4]->get_lien_element2()->ajouter(this); |
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tab[5]->get_lien_element2()->ajouter(this); |
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tab[6]->get_lien_element2()->ajouter(this); |
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tab[7]->get_lien_element2()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
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} |
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FEM_QUADRANGLE8::FEM_QUADRANGLE8(class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT2(mai),FEM_TEMPLATE_ELEMENT<8>(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_element2()->ajouter(this); |
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tab[1]->get_lien_element2()->ajouter(this); |
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tab[2]->get_lien_element2()->ajouter(this); |
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tab[3]->get_lien_element2()->ajouter(this); |
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tab[4]->get_lien_element2()->ajouter(this); |
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tab[5]->get_lien_element2()->ajouter(this); |
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tab[6]->get_lien_element2()->ajouter(this); |
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tab[7]->get_lien_element2()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
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} |
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francois |
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FEM_QUADRANGLE8::FEM_QUADRANGLE8(unsigned long num,class MG_ELEMENT_TOPOLOGIQUE* topo,class FEM_NOEUD** tabnoeud):FEM_ELEMENT2(num,topo),FEM_TEMPLATE_ELEMENT<8>(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_element2()->ajouter(this); |
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tab[1]->get_lien_element2()->ajouter(this); |
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tab[2]->get_lien_element2()->ajouter(this); |
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tab[3]->get_lien_element2()->ajouter(this); |
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tab[4]->get_lien_element2()->ajouter(this); |
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tab[5]->get_lien_element2()->ajouter(this); |
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tab[6]->get_lien_element2()->ajouter(this); |
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tab[7]->get_lien_element2()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
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} |
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francois |
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francois |
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FEM_QUADRANGLE8::FEM_QUADRANGLE8(class MG_ELEMENT_TOPOLOGIQUE* topo,FEM_NOEUD** tabnoeud):FEM_ELEMENT2(topo),FEM_TEMPLATE_ELEMENT<8>(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_element2()->ajouter(this); |
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tab[1]->get_lien_element2()->ajouter(this); |
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tab[2]->get_lien_element2()->ajouter(this); |
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tab[3]->get_lien_element2()->ajouter(this); |
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tab[4]->get_lien_element2()->ajouter(this); |
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tab[5]->get_lien_element2()->ajouter(this); |
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tab[6]->get_lien_element2()->ajouter(this); |
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tab[7]->get_lien_element2()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
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} |
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FEM_QUADRANGLE8::FEM_QUADRANGLE8(unsigned long num,class MG_ELEMENT_TOPOLOGIQUE* topo,class MG_ELEMENT_MAILLAGE* mai,class FEM_NOEUD** tabnoeud):FEM_ELEMENT2(num,topo,mai),FEM_TEMPLATE_ELEMENT<8>(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_element2()->ajouter(this); |
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tab[1]->get_lien_element2()->ajouter(this); |
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tab[2]->get_lien_element2()->ajouter(this); |
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tab[3]->get_lien_element2()->ajouter(this); |
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tab[4]->get_lien_element2()->ajouter(this); |
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tab[5]->get_lien_element2()->ajouter(this); |
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tab[6]->get_lien_element2()->ajouter(this); |
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tab[7]->get_lien_element2()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
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} |
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FEM_QUADRANGLE8::FEM_QUADRANGLE8(class MG_ELEMENT_TOPOLOGIQUE* topo,class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT2(topo,mai),FEM_TEMPLATE_ELEMENT<8>(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_element2()->ajouter(this); |
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tab[1]->get_lien_element2()->ajouter(this); |
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tab[2]->get_lien_element2()->ajouter(this); |
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tab[3]->get_lien_element2()->ajouter(this); |
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tab[4]->get_lien_element2()->ajouter(this); |
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tab[5]->get_lien_element2()->ajouter(this); |
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tab[6]->get_lien_element2()->ajouter(this); |
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tab[7]->get_lien_element2()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
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} |
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francois |
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FEM_QUADRANGLE8::FEM_QUADRANGLE8(FEM_QUADRANGLE8& mdd):FEM_ELEMENT2(mdd),FEM_TEMPLATE_ELEMENT<8>(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_element2()->ajouter(this); |
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tab[1]->get_lien_element2()->ajouter(this); |
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tab[2]->get_lien_element2()->ajouter(this); |
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tab[3]->get_lien_element2()->ajouter(this); |
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tab[4]->get_lien_element2()->ajouter(this); |
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tab[5]->get_lien_element2()->ajouter(this); |
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tab[6]->get_lien_element2()->ajouter(this); |
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tab[7]->get_lien_element2()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
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} |
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FEM_QUADRANGLE8::~FEM_QUADRANGLE8() |
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{ |
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francois |
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if (liaison_topologique!=NULL) |
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if (liaison_topologique->get_dimension()==0) liaison_topologique->get_lien_fem_maillage()->supprimer(this); |
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francois |
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tab[0]->get_lien_element2()->supprimer(this); |
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tab[1]->get_lien_element2()->supprimer(this); |
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tab[2]->get_lien_element2()->supprimer(this); |
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tab[3]->get_lien_element2()->supprimer(this); |
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tab[4]->get_lien_element2()->supprimer(this); |
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tab[5]->get_lien_element2()->supprimer(this); |
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tab[6]->get_lien_element2()->supprimer(this); |
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tab[7]->get_lien_element2()->supprimer(this); |
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get_fem_noeudpetitid()->get_lien_petit_element2()->supprimer(this); |
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} |
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FEM_ELEMENT_MAILLAGE* FEM_QUADRANGLE8::dupliquer(FEM_MAILLAGE *femmai,long decalage) |
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{ |
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FEM_NOEUD* tabnoeud[8]; |
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tabnoeud[0]=femmai->get_fem_noeudid(tab[0]->get_id()+decalage); |
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tabnoeud[1]=femmai->get_fem_noeudid(tab[1]->get_id()+decalage); |
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tabnoeud[2]=femmai->get_fem_noeudid(tab[2]->get_id()+decalage); |
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tabnoeud[3]=femmai->get_fem_noeudid(tab[3]->get_id()+decalage); |
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tabnoeud[4]=femmai->get_fem_noeudid(tab[4]->get_id()+decalage); |
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tabnoeud[5]=femmai->get_fem_noeudid(tab[5]->get_id()+decalage); |
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tabnoeud[6]=femmai->get_fem_noeudid(tab[6]->get_id()+decalage); |
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tabnoeud[7]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
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FEM_QUADRANGLE8* quad=new FEM_QUADRANGLE8(get_id()+decalage,maillage,tabnoeud); |
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femmai->ajouter_fem_element2(quad); |
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return quad; |
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} |
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francois |
635 |
bool FEM_QUADRANGLE8::valide_parametre_EF(double* uvw) |
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{ |
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francois |
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if (uvw[0]>=-1.-1e-10) |
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if (uvw[1]>=-1.-1e-10) |
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francois |
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if (uvw[0]<=1.+1e-10) |
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if (uvw[1]<=1.+1e-10) |
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return true; |
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return false; |
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} |
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francois |
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int FEM_QUADRANGLE8::get_type_entite(void) |
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{ |
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return IDFEM_QUADRANGLE8; |
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} |
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int FEM_QUADRANGLE8::get_dimension(void) |
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{ |
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return 2; |
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} |
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francois |
684 |
void FEM_QUADRANGLE8::reinit_boite_3D(void) |
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{ |
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FEM_TEMPLATE_ELEMENT<8>::reinit_boite_3D(); |
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} |
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francois |
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int FEM_QUADRANGLE8::get_nb_fem_noeud(void) |
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{ |
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return FEM_TEMPLATE_ELEMENT<8>::get_nb_fem_noeud(); |
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} |
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FEM_NOEUD* FEM_QUADRANGLE8::get_fem_noeud(int num) |
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{ |
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return FEM_TEMPLATE_ELEMENT<8>::get_fem_noeud(num); |
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} |
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void FEM_QUADRANGLE8::change_noeud(int num,FEM_NOEUD* noeud) |
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{ |
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FEM_TEMPLATE_ELEMENT<8>::change_noeud(num,noeud); |
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} |
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BOITE_3D& FEM_QUADRANGLE8::get_boite_3D(void) |
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{ |
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return FEM_TEMPLATE_ELEMENT<8>::get_boite_3D(); |
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} |
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void FEM_QUADRANGLE8::enregistrer(std::ostream& o) |
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{ |
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francois |
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if (maillage!=NULL) |
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if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_QUADRANGLE8($"<< get_lien_topologie()->get_id() << ",$" << maillage->get_id() << ",$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id()<< ",$" << tab[3]->get_id()<< ",$" << tab[4]->get_id() << ",$" << tab[5]->get_id() << ",$" << tab[6]->get_id()<< ",$" << tab[7]->get_id()<< ");" << std::endl; |
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else o << "%" << get_id() << "=FEM_QUADRANGLE8(NULL,$" << maillage->get_id() << ",$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id()<< ",$" << tab[3]->get_id()<< ",$" << tab[4]->get_id() << ",$" << tab[5]->get_id() << ",$" << tab[6]->get_id()<< ",$" << tab[7]->get_id()<<");" << std::endl; |
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else |
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if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_QUADRANGLE8($"<< get_lien_topologie()->get_id() << ",NULL,$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id()<< ",$" << tab[3]->get_id()<< ",$" << tab[4]->get_id() << ",$" << tab[5]->get_id() << ",$" << tab[6]->get_id()<< ",$" << tab[7]->get_id()<< ");" << std::endl; |
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else o << "%" << get_id() << "=FEM_QUADRANGLE8(NULL,NULL,$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id()<< ",$" << tab[3]->get_id()<< ",$" << tab[4]->get_id() << ",$" << tab[5]->get_id() << ",$" << tab[6]->get_id()<< ",$" << tab[7]->get_id()<<");" << std::endl; |
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francois |
310 |
} |
226 |
francois |
637 |
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int FEM_QUADRANGLE8::get_nb_pt_gauss(int degre) |
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{ |
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francois |
755 |
return OT_POINTS_GAUSS::get_nb_point_quad_prod(degre); |
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francois |
637 |
} |
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void FEM_QUADRANGLE8::get_pt_gauss(int degre,int num,double &w,double *uv) |
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{ |
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francois |
755 |
return OT_POINTS_GAUSS::get_pt_gauss_qua_prod(degre,num,w,uv); |
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francois |
637 |
} |
236 |
francois |
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int FEM_QUADRANGLE8::get_degre_gauss(int num) |
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{ |
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return OT_POINTS_GAUSS::get_degre_gauss_quad_prod(num); |
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} |
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243 |
francois |
638 |
int FEM_QUADRANGLE8::get_nb_fonction_interpolation(void) |
244 |
francois |
310 |
{ |
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return 8; |
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} |
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248 |
francois |
638 |
int FEM_QUADRANGLE8::get_degremax_fonction_interpolation(void) |
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{ |
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return 3; |
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} |
252 |
francois |
310 |
double FEM_QUADRANGLE8::get_fonction_interpolation(int num,double *uv) |
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{ |
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double val; |
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switch (num) |
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{ |
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case 1: |
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val=-0.25*(1-uv[0])*(1-uv[1])*(1.+uv[0]+uv[1]); |
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break; |
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case 2: |
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val=0.5*(1-uv[0]*uv[0])*(1-uv[1]); |
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break; |
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case 3: |
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val=-0.25*(1+uv[0])*(1-uv[1])*(1.-uv[0]+uv[1]); |
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break; |
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case 4: |
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val=0.5*(1+uv[0])*(1-uv[1]*uv[1]); |
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break; |
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case 5: |
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val=-0.25*(1+uv[0])*(1+uv[1])*(1.-uv[0]-uv[1]); |
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break; |
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case 6: |
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val=0.5*(1-uv[0]*uv[0])*(1+uv[1]); |
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break; |
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case 7: |
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val=-0.25*(1-uv[0])*(1+uv[1])*(1.+uv[0]-uv[1]); |
277 |
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|
break; |
278 |
|
|
case 8: |
279 |
|
|
val=0.5*(1-uv[0])*(1-uv[1]*uv[1]); |
280 |
|
|
break; |
281 |
|
|
} |
282 |
|
|
return val; |
283 |
|
|
} |
284 |
|
|
|
285 |
|
|
double FEM_QUADRANGLE8::get_fonction_derive_interpolation(int num,int num_variable,double *uv) |
286 |
|
|
{ |
287 |
|
|
double val; |
288 |
|
|
|
289 |
|
|
switch (num) |
290 |
|
|
{ |
291 |
|
|
case 1: |
292 |
|
|
switch (num_variable) |
293 |
|
|
{ |
294 |
|
|
case 1: |
295 |
|
|
val=0.25*(1-uv[1])*(2*uv[0]+uv[1]); |
296 |
|
|
break; |
297 |
|
|
case 2: |
298 |
|
|
val=0.25*(1-uv[0])*(uv[0]+2.*uv[1]); |
299 |
|
|
break; |
300 |
|
|
} break; |
301 |
|
|
case 2: |
302 |
|
|
switch (num_variable) |
303 |
|
|
{ |
304 |
|
|
case 1: |
305 |
|
|
val=-uv[0]*(1.-uv[1]); |
306 |
|
|
break; |
307 |
|
|
case 2: |
308 |
|
|
val=-0.5*(1-uv[0]*uv[0]); |
309 |
|
|
break; |
310 |
|
|
}break; |
311 |
|
|
case 3: |
312 |
|
|
switch (num_variable) |
313 |
|
|
{ |
314 |
|
|
case 1: |
315 |
|
|
val=0.25*(1.-uv[1])*(2*uv[0]-uv[1]); |
316 |
|
|
break; |
317 |
|
|
case 2: |
318 |
|
|
val=-0.25*(1.+uv[0])*(uv[0]-2.*uv[1]); |
319 |
|
|
break; |
320 |
|
|
}break; |
321 |
|
|
case 4: |
322 |
|
|
switch (num_variable) |
323 |
|
|
{ |
324 |
|
|
case 1: |
325 |
|
|
val=0.5*(1.-uv[1]*uv[1]); |
326 |
|
|
break; |
327 |
|
|
case 2: |
328 |
|
|
val=-uv[1]*(1+uv[0]); |
329 |
|
|
break; |
330 |
|
|
}break; |
331 |
|
|
case 5: |
332 |
|
|
switch (num_variable) |
333 |
|
|
{ |
334 |
|
|
case 1: |
335 |
|
|
val=0.25*(1+uv[1])*(2*uv[0]+uv[1]); |
336 |
|
|
break; |
337 |
|
|
case 2: |
338 |
|
|
val=0.25*(1+uv[0])*(uv[0]+2.*uv[1]); |
339 |
|
|
break; |
340 |
|
|
} break; |
341 |
|
|
case 6: |
342 |
|
|
switch (num_variable) |
343 |
|
|
{ |
344 |
|
|
case 1: |
345 |
|
|
val=-uv[0]*(1.+uv[1]); |
346 |
|
|
break; |
347 |
|
|
case 2: |
348 |
|
|
val=-0.5*(1-uv[0]*uv[0]); |
349 |
|
|
break; |
350 |
|
|
}break; |
351 |
|
|
case 7: |
352 |
|
|
switch (num_variable) |
353 |
|
|
{ |
354 |
|
|
case 1: |
355 |
|
|
val=0.25*(1.+uv[1])*(2*uv[0]-uv[1]); |
356 |
|
|
break; |
357 |
|
|
case 2: |
358 |
|
|
val=-0.25*(1.-uv[0])*(uv[0]-2.*uv[1]); |
359 |
|
|
break; |
360 |
|
|
}break; |
361 |
|
|
case 8: |
362 |
|
|
switch (num_variable) |
363 |
|
|
{ |
364 |
|
|
case 1: |
365 |
|
|
val=-0.5*(1.-uv[1]*uv[1]); |
366 |
|
|
break; |
367 |
|
|
case 2: |
368 |
|
|
val=-uv[1]*(1+uv[0]); |
369 |
|
|
break; |
370 |
|
|
}break; |
371 |
|
|
|
372 |
|
|
} |
373 |
|
|
return val; |
374 |
|
|
} |
375 |
|
|
|
376 |
|
|
double FEM_QUADRANGLE8::get_jacobien(double* jac,double *uv,int& li,int& col,double unite) |
377 |
|
|
{ |
378 |
|
|
|
379 |
|
|
} |
380 |
|
|
|
381 |
|
|
void FEM_QUADRANGLE8::get_inverse_jacob(double* j,double *uv,double unite) |
382 |
|
|
{ |
383 |
|
|
|
384 |
|
|
} |