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francois |
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//------------------------------------------------------------ |
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//------------------------------------------------------------ |
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// MAGiC |
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// Jean Christophe Cuilli�re et Vincent FRANCOIS |
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// D�partement de G�nie M�canique - UQTR |
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//------------------------------------------------------------ |
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// Le projet MAGIC est un projet de recherche du d�partement |
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// de g�nie m�canique de l'Universit� du Qu�bec � |
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// Trois Rivi�res |
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// Les librairies ne peuvent �tre utilis�es sans l'accord |
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// des auteurs (contact : francois@uqtr.ca) |
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//------------------------------------------------------------ |
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//------------------------------------------------------------ |
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// |
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francois |
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// fem_element34.cpp |
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francois |
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// |
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//------------------------------------------------------------ |
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//------------------------------------------------------------ |
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// COPYRIGHT 2000 |
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// Version du 02/03/2006 � 11H22 |
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//------------------------------------------------------------ |
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//------------------------------------------------------------ |
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#include "gestionversion.h" |
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#include "fem_tetra4.h" |
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#include "fem_noeud.h" |
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#include "mg_element_maillage.h" |
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#include "fem_maillage.h" |
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francois |
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#include "ot_mathematique.h" |
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#include "xfem_tetra4.h" |
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#include <math.h> |
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francois |
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francois |
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FEM_TETRA4::FEM_TETRA4(unsigned long num,class MG_ELEMENT_MAILLAGE* mai,class FEM_NOEUD** tabnoeud):FEM_ELEMENT3(num,mai),FEM_TEMPLATE_ELEMENT<4>(tabnoeud) |
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{ |
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if (liaison_topologique!=NULL) |
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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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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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FEM_TETRA4::FEM_TETRA4(class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(mai),FEM_TEMPLATE_ELEMENT<4>(tabnoeud) |
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{ |
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if (liaison_topologique!=NULL) |
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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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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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FEM_TETRA4::FEM_TETRA4(unsigned long num,class MG_ELEMENT_TOPOLOGIQUE* topo,class FEM_NOEUD** tabnoeud):FEM_ELEMENT3(num,topo),FEM_TEMPLATE_ELEMENT<4>(tabnoeud) |
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{ |
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if (liaison_topologique!=NULL) |
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if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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FEM_TETRA4::FEM_TETRA4(class MG_ELEMENT_TOPOLOGIQUE* topo,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(topo),FEM_TEMPLATE_ELEMENT<4>(tabnoeud) |
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{ |
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if (liaison_topologique!=NULL) |
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if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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FEM_TETRA4::FEM_TETRA4(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<4>(tabnoeud) |
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{ |
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if (liaison_topologique!=NULL) |
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if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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FEM_TETRA4::FEM_TETRA4(class MG_ELEMENT_TOPOLOGIQUE* topo,class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(topo,mai),FEM_TEMPLATE_ELEMENT<4>(tabnoeud) |
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{ |
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if (liaison_topologique!=NULL) |
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if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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FEM_TETRA4::FEM_TETRA4(FEM_TETRA4& mdd):FEM_ELEMENT3(mdd),FEM_TEMPLATE_ELEMENT<4>(mdd) |
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{ |
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if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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francois |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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francois |
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} |
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FEM_TETRA4::~FEM_TETRA4() |
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{ |
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if (liaison_topologique==NULL) return; |
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if (liaison_topologique->get_dimension()==0) liaison_topologique->get_lien_fem_maillage()->supprimer(this); |
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francois |
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tab[0]->get_lien_element3()->supprimer(this); |
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tab[1]->get_lien_element3()->supprimer(this); |
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tab[2]->get_lien_element3()->supprimer(this); |
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tab[3]->get_lien_element3()->supprimer(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->supprimer(this); |
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francois |
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} |
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FEM_ELEMENT_MAILLAGE* FEM_TETRA4::dupliquer(FEM_MAILLAGE *femmai,long decalage) |
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{ |
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FEM_NOEUD* tabnoeud[4]; |
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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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FEM_TETRA4* tet=new FEM_TETRA4(get_id()+decalage,maillage,tabnoeud); |
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francois |
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femmai->ajouter_fem_element3(tet); |
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francois |
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return tet; |
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} |
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int FEM_TETRA4::get_type_entite(void) |
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{ |
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return IDFEM_TETRA4; |
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} |
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int FEM_TETRA4::get_dimension(void) |
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{ |
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return 3; |
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} |
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int FEM_TETRA4::get_nb_fem_noeud(void) |
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{ |
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return FEM_TEMPLATE_ELEMENT<4>::get_nb_fem_noeud(); |
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} |
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FEM_NOEUD* FEM_TETRA4::get_fem_noeud(int num) |
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{ |
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return FEM_TEMPLATE_ELEMENT<4>::get_fem_noeud(num); |
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} |
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void FEM_TETRA4::change_noeud(int num,FEM_NOEUD* noeud) |
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{ |
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FEM_TEMPLATE_ELEMENT<4>::change_noeud(num,noeud); |
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} |
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BOITE_3D& FEM_TETRA4::get_boite_3D(void) |
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{ |
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return FEM_TEMPLATE_ELEMENT<4>::get_boite_3D(); |
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} |
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int FEM_TETRA4::get_nb_pt_gauss(int degre) |
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{ |
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if (degre<2) return 1; |
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if (degre<3) return 4; |
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if (degre<4) return 5; |
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if (degre<6) return 15; |
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return 0; |
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} |
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void FEM_TETRA4::get_pt_gauss(int degre,int num,double &w,double *uvw) |
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{ |
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if (degre<2) |
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{ |
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if (num==0) {w=0.166666666666667;uvw[0]=0.25;uvw[1]=0.25;uvw[2]=0.25;} |
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return; |
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} |
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if (degre<3) |
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{ |
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if (num==0) {w=0.041666666666667;uvw[0]=0.138196601125011;uvw[1]=0.138196601125011;uvw[2]=0.138196601125011;} |
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if (num==1) {w=0.041666666666667;uvw[0]=0.138196601125011;uvw[1]=0.138196601125011;uvw[2]=0.585410196624968;} |
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if (num==2) {w=0.041666666666667;uvw[0]=0.138196601125011;uvw[1]=0.585410196624968;uvw[2]=0.138196601125011;} |
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if (num==3) {w=0.041666666666667;uvw[0]=0.585410196624968;uvw[1]=0.138196601125011;uvw[2]=0.138196601125011;} |
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return; |
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} |
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if (degre<4) |
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{ |
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if (num==0) {w=-0.133333333333333;uvw[0]=0.25;uvw[1]=0.25;uvw[2]=0.25;} |
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if (num==1) {w=0.075;uvw[0]=0.166666666666667;uvw[1]=0.166666666666667;uvw[2]=0.166666666666667;} |
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if (num==2) {w=0.075;uvw[0]=0.166666666666667;uvw[1]=0.166666666666667;uvw[2]=0.5;} |
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if (num==3) {w=0.075;uvw[0]=0.166666666666667;uvw[1]=0.5;uvw[2]=0.166666666666667;} |
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if (num==4) {w=0.075;uvw[0]=0.5;uvw[1]=0.166666666666667;uvw[2]=0.166666666666667;} |
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return; |
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} |
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if (degre<6) |
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{ |
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double a=0.25; |
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double b1=0.3197936278; |
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double b2=0.0919710781; |
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double c2=0.7240867658; |
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double c1=0.0406191165; |
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double d=0.0563508327; |
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double e=0.4436491673; |
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double w1=0.0197530864; |
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double w3=0.011989514; |
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double w2=0.0115113679; |
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double w4=0.0088183422; |
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if (num==0) {w=w1;uvw[0]=a;uvw[1]=a;uvw[2]=a;} |
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if (num==1) {w=w2;uvw[0]=b1;uvw[1]=b1;uvw[2]=b1;} |
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if (num==2) {w=w2;uvw[0]=c1;uvw[1]=b1;uvw[2]=b1;} |
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if (num==3) {w=w2;uvw[0]=b1;uvw[1]=c1;uvw[2]=b1;} |
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if (num==4) {w=w2;uvw[0]=b1;uvw[1]=b1;uvw[2]=c1;} |
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if (num==5) {w=w3;uvw[0]=b2;uvw[1]=b2;uvw[2]=b2;} |
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if (num==6) {w=w3;uvw[0]=c2;uvw[1]=b2;uvw[2]=b2;} |
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if (num==7) {w=w3;uvw[0]=b2;uvw[1]=c2;uvw[2]=b2;} |
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if (num==8) {w=w3;uvw[0]=b2;uvw[1]=b2;uvw[2]=c2;} |
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if (num==9) {w=w4;uvw[0]=e;uvw[1]=d;uvw[2]=d;} |
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if (num==10) {w=w4;uvw[0]=d;uvw[1]=e;uvw[2]=d;} |
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if (num==11) {w=w4;uvw[0]=d;uvw[1]=d;uvw[2]=e;} |
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if (num==12) {w=w4;uvw[0]=d;uvw[1]=e;uvw[2]=e;} |
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if (num==13) {w=w4;uvw[0]=e;uvw[1]=d;uvw[2]=e;} |
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if (num==14) {w=w4;uvw[0]=e;uvw[1]=e;uvw[2]=d;} |
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return; |
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} |
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} |
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francois |
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int FEM_TETRA4::nb_fonction_interpolation(void) |
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{ |
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return 4; |
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} |
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double FEM_TETRA4::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=1-uv[0]-uv[1]-uv[2]; |
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break; |
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case 2: |
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val=uv[0]; |
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break; |
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case 3: |
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val=uv[1]; |
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break; |
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case 4: |
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val=uv[2]; |
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break; |
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} |
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return val; |
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} |
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double FEM_TETRA4::get_fonction_derive_interpolation(int num,int num_variable,double *uv) |
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{ |
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double val; |
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switch (num) |
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{ |
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case 1: |
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switch (num_variable) |
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{ |
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case 1: |
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val=-1; |
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break; |
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case 2: |
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val=-1; |
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break; |
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case 3: |
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val=-1; |
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break; |
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} break; |
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case 2: |
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switch (num_variable) |
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{ |
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case 1: |
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val=1; |
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break; |
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case 2: |
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val=0; |
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break; |
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case 3: |
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val=0; |
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break; |
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}break; |
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case 3: |
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switch (num_variable) |
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{ |
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case 1: |
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val=0; |
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break; |
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case 2: |
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val=1; |
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break; |
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case 3: |
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val=0; |
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break; |
310 |
|
|
}break; |
311 |
|
|
case 4: |
312 |
|
|
switch (num_variable) |
313 |
|
|
{ |
314 |
|
|
case 1: |
315 |
|
|
val=0; |
316 |
|
|
break; |
317 |
|
|
case 2: |
318 |
|
|
val=0; |
319 |
|
|
break; |
320 |
|
|
case 3: |
321 |
|
|
val=1; |
322 |
|
|
break; |
323 |
|
|
}break; |
324 |
|
|
|
325 |
|
|
} |
326 |
|
|
return val; |
327 |
|
|
} |
328 |
|
|
|
329 |
|
|
double FEM_TETRA4::get_jacobien(double* jac,double *uv,int& li,int& col,double unite) |
330 |
|
|
{ |
331 |
|
|
li=3; |
332 |
|
|
col=3; |
333 |
|
|
double *xyz1=tab[0]->get_coord(); |
334 |
|
|
double *xyz2=tab[1]->get_coord(); |
335 |
|
|
double *xyz3=tab[2]->get_coord(); |
336 |
|
|
double *xyz4=tab[3]->get_coord(); |
337 |
|
|
|
338 |
|
|
jac[0]=unite*(xyz2[0] - xyz1[0]) ; |
339 |
|
|
jac[1]=unite*(xyz2[1] - xyz1[1]) ; |
340 |
|
|
jac[2]=unite*(xyz2[2] - xyz1[2]) ; |
341 |
|
|
|
342 |
|
|
jac[3]=unite*(xyz3[0] - xyz1[0]) ; |
343 |
|
|
jac[4]=unite*(xyz3[1] - xyz1[1]) ; |
344 |
|
|
jac[5]=unite*(xyz3[2] - xyz1[2]) ; |
345 |
|
|
|
346 |
|
|
jac[6]=unite*(xyz4[0] - xyz1[0]) ; |
347 |
|
|
jac[7]=unite*(xyz4[1] - xyz1[1]) ; |
348 |
|
|
jac[8]=unite*(xyz4[2] - xyz1[2]) ; |
349 |
|
|
|
350 |
|
|
double SIX_V= jac[0]*(jac[4]*jac[8]-jac[7]*jac[5])+jac[1]*(jac[5]*jac[6]-jac[8]*jac[3])+jac[2]*(jac[3]*jac[7]-jac[6]*jac[4]); |
351 |
|
|
|
352 |
|
|
return SIX_V; |
353 |
|
|
} |
354 |
|
|
|
355 |
|
|
void FEM_TETRA4::get_inverse_jacob(double* j,double *uv,double unite) |
356 |
|
|
{ |
357 |
|
|
double *xyz1=tab[0]->get_coord(); |
358 |
|
|
double *xyz2=tab[1]->get_coord(); |
359 |
|
|
double *xyz3=tab[2]->get_coord(); |
360 |
|
|
double *xyz4=tab[3]->get_coord(); |
361 |
|
|
|
362 |
|
|
double jac[9]; |
363 |
|
|
|
364 |
|
|
jac[0*3+0]= unite*(xyz2[0] - xyz1[0]) ; |
365 |
|
|
jac[0*3+1]= unite*(xyz2[1] - xyz1[1]) ; |
366 |
|
|
jac[0*3+2]= unite*(xyz2[2] - xyz1[2]) ; |
367 |
|
|
|
368 |
|
|
jac[1*3+0]= unite*(xyz3[0] - xyz1[0]) ; |
369 |
|
|
jac[1*3+1]= unite*(xyz3[1] - xyz1[1]) ; |
370 |
|
|
jac[1*3+2]= unite*(xyz3[2] - xyz1[2]) ; |
371 |
|
|
|
372 |
|
|
jac[2*3+0]= unite*(xyz4[0] - xyz1[0]) ; |
373 |
|
|
jac[2*3+1]= unite*(xyz4[1] - xyz1[1]) ; |
374 |
|
|
jac[2*3+2]= unite*(xyz4[2] - xyz1[2]) ; |
375 |
|
|
|
376 |
|
|
double detj=(jac[0*3+0]*jac[1*3+1]*jac[2*3+2]-jac[0*3+0]*jac[1*3+2]*jac[2*3+1]-jac[1*3+0]*jac[0*3+1]*jac[2*3+2]+jac[1*3+0]*jac[0*3+2]*jac[2*3+1]+jac[2*3+0]*jac[0*3+1]*jac[1*3+2]-jac[2*3+0]*jac[0*3+2]*jac[1*3+1]); |
377 |
|
|
|
378 |
|
|
j[0*3+0] = (jac[1*3+1]*jac[2*3+2]-jac[1*3+2]*jac[2*3+1])/(detj); |
379 |
|
|
j[0*3+1] = -(jac[0*3+1]*jac[2*3+2]-jac[0*3+2]*jac[2*3+1])/(detj); |
380 |
|
|
j[0*3+2] =-(-jac[0*3+1]*jac[1*3+2]+jac[0*3+2]*jac[1*3+1])/(detj); |
381 |
|
|
|
382 |
|
|
j[1*3+0] = -(jac[1*3+0]*jac[2*3+2]-jac[1*3+2]*jac[2*3+0])/(detj); |
383 |
|
|
j[1*3+1] = (jac[0*3+0]*jac[2*3+2]-jac[0*3+2]*jac[2*3+0])/(detj); |
384 |
|
|
j[1*3+2] = -(jac[0*3+0]*jac[1*3+2]-jac[0*3+2]*jac[1*3+0])/(detj); |
385 |
|
|
|
386 |
|
|
j[2*3+0] =-(-jac[1*3+0]*jac[2*3+1]+jac[1*3+1]*jac[2*3+0])/(detj); |
387 |
|
|
j[2*3+1] = -(jac[0*3+0]*jac[2*3+1]-jac[0*3+1]*jac[2*3+0])/(detj); |
388 |
|
|
j[2*3+2] = (jac[0*3+0]*jac[1*3+1]-jac[0*3+1]*jac[1*3+0])/(detj); |
389 |
|
|
|
390 |
|
|
|
391 |
|
|
|
392 |
|
|
} |
393 |
|
|
|
394 |
francois |
635 |
bool FEM_TETRA4::valide_parametre_EF(double* uvw) |
395 |
|
|
{ |
396 |
|
|
if (uvw[0]>=-1e-10) |
397 |
|
|
if (uvw[1]>=-1e-10) |
398 |
|
|
if (uvw[2]>=-1e-10) |
399 |
|
|
if (uvw[0]+uvw[1]+uvw[2]<=1.+1e-10) |
400 |
|
|
return true; |
401 |
|
|
return false; |
402 |
|
|
} |
403 |
francois |
283 |
void FEM_TETRA4::enregistrer(std::ostream& o) |
404 |
|
|
{ |
405 |
francois |
378 |
if (maillage!=NULL) |
406 |
francois |
410 |
if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_TETRA4($"<< get_lien_topologie()->get_id() << ",$" << maillage->get_id() << ",$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id() << ",$" << tab[3]->get_id() << ","<< get_etat(0) << ");" << std::endl; |
407 |
|
|
else o << "%" << get_id() << "=FEM_TETRA4(NULL,$"<< maillage->get_id() << ",$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id() << ",$" << tab[3]->get_id() << ","<< get_etat(0) << ");" << std::endl; |
408 |
francois |
378 |
else |
409 |
francois |
410 |
if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_TETRA4($"<< get_lien_topologie()->get_id() << ",NULL,$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id() << ",$" << tab[3]->get_id() << ","<< get_etat(0) << ");" << std::endl; |
410 |
|
|
else o << "%" << get_id() << "=FEM_TETRA4(NULL,NULL,$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id() << ",$" << tab[3]->get_id() << ","<< get_etat(0) << ");" << std::endl; |
411 |
francois |
339 |
|
412 |
francois |
283 |
} |
413 |
francois |
405 |
|
414 |
|
|
|
415 |
francois |
406 |
int FEM_TETRA4::verifie_validite_decoupage_xfem(double *vol) |
416 |
francois |
405 |
{ |
417 |
|
|
if (get_nb_xfem(3)==0) return 1; |
418 |
|
|
FEM_NOEUD* no1=get_fem_noeud(0); |
419 |
|
|
FEM_NOEUD* no2=get_fem_noeud(1); |
420 |
|
|
FEM_NOEUD* no3=get_fem_noeud(2); |
421 |
|
|
FEM_NOEUD* no4=get_fem_noeud(3); |
422 |
|
|
OT_VECTEUR_3D vec1(no1->get_coord(),no2->get_coord()); |
423 |
|
|
OT_VECTEUR_3D vec2(no1->get_coord(),no3->get_coord()); |
424 |
|
|
OT_VECTEUR_3D vec3(no1->get_coord(),no4->get_coord()); |
425 |
|
|
double volume=(vec1&vec2)*vec3; |
426 |
francois |
407 |
int volumenul=0; |
427 |
francois |
405 |
for (int i=0;i<get_nb_xfem(3);i++) |
428 |
|
|
{ |
429 |
|
|
XFEM_TETRA4* xtet=(XFEM_TETRA4*)get_xfem(3,i); |
430 |
|
|
FEM_NOEUD* xno1=xtet->get_fem_noeud(0); |
431 |
|
|
FEM_NOEUD* xno2=xtet->get_fem_noeud(1); |
432 |
|
|
FEM_NOEUD* xno3=xtet->get_fem_noeud(2); |
433 |
|
|
FEM_NOEUD* xno4=xtet->get_fem_noeud(3); |
434 |
|
|
OT_VECTEUR_3D xvec1(xno1->get_coord(),xno2->get_coord()); |
435 |
|
|
OT_VECTEUR_3D xvec2(xno1->get_coord(),xno3->get_coord()); |
436 |
|
|
OT_VECTEUR_3D xvec3(xno1->get_coord(),xno4->get_coord()); |
437 |
|
|
double xvolume=(xvec1&xvec2)*xvec3; |
438 |
|
|
volume=volume-xvolume; |
439 |
francois |
407 |
if (xvolume<1e-10*volume) volumenul=1; |
440 |
francois |
405 |
} |
441 |
francois |
406 |
if (vol!=NULL) *vol=volume; |
442 |
francois |
407 |
if (fabs(volume)>1e-12) return 2*volumenul; |
443 |
|
|
return 1+2*volumenul; |
444 |
francois |
405 |
} |