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//------------------------------------------------------------ |
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//------------------------------------------------------------ |
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// MAGiC |
| 4 |
// 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_element34.cpp |
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// |
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//------------------------------------------------------------ |
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//------------------------------------------------------------ |
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// COPYRIGHT 2000 |
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// Version du 02/03/2006 � 11H22 |
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//------------------------------------------------------------ |
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//------------------------------------------------------------ |
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|
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|
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#include "gestionversion.h" |
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#include "fem_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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#include "ot_mathematique.h" |
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#include "xfem_tetra4.h" |
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#include <math.h> |
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|
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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) |
| 35 |
{ |
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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); |
| 39 |
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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|
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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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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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|
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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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|
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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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|
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|
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|
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|
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|
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|
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|
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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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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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|
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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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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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} |
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|
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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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femmai->ajouter_fem_element3(tet); |
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return tet; |
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} |
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|
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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; |
| 142 |
} |
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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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|
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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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|
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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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|
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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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|
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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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|
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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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|
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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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|
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|
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|
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int FEM_TETRA4::get_nb_fonction_interpolation(void) |
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{ |
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return 4; |
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} |
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int FEM_TETRA4::get_degremax_fonction_interpolation(void) |
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{ |
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return 1; |
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} |
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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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} |
| 268 |
|
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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; |
| 272 |
|
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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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{ |
| 278 |
case 1: |
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val=-1; |
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break; |
| 281 |
case 2: |
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val=-1; |
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break; |
| 284 |
case 3: |
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val=-1; |
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break; |
| 287 |
} break; |
| 288 |
case 2: |
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switch (num_variable) |
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{ |
| 291 |
case 1: |
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val=1; |
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break; |
| 294 |
case 2: |
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val=0; |
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break; |
| 297 |
case 3: |
| 298 |
val=0; |
| 299 |
break; |
| 300 |
}break; |
| 301 |
case 3: |
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switch (num_variable) |
| 303 |
{ |
| 304 |
case 1: |
| 305 |
val=0; |
| 306 |
break; |
| 307 |
case 2: |
| 308 |
val=1; |
| 309 |
break; |
| 310 |
case 3: |
| 311 |
val=0; |
| 312 |
break; |
| 313 |
}break; |
| 314 |
case 4: |
| 315 |
switch (num_variable) |
| 316 |
{ |
| 317 |
case 1: |
| 318 |
val=0; |
| 319 |
break; |
| 320 |
case 2: |
| 321 |
val=0; |
| 322 |
break; |
| 323 |
case 3: |
| 324 |
val=1; |
| 325 |
break; |
| 326 |
}break; |
| 327 |
|
| 328 |
} |
| 329 |
return val; |
| 330 |
} |
| 331 |
|
| 332 |
double FEM_TETRA4::get_jacobien(double* jac,double *uv,int& li,int& col,double unite) |
| 333 |
{ |
| 334 |
li=3; |
| 335 |
col=3; |
| 336 |
double *xyz1=tab[0]->get_coord(); |
| 337 |
double *xyz2=tab[1]->get_coord(); |
| 338 |
double *xyz3=tab[2]->get_coord(); |
| 339 |
double *xyz4=tab[3]->get_coord(); |
| 340 |
|
| 341 |
jac[0]=unite*(xyz2[0] - xyz1[0]) ; |
| 342 |
jac[1]=unite*(xyz2[1] - xyz1[1]) ; |
| 343 |
jac[2]=unite*(xyz2[2] - xyz1[2]) ; |
| 344 |
|
| 345 |
jac[3]=unite*(xyz3[0] - xyz1[0]) ; |
| 346 |
jac[4]=unite*(xyz3[1] - xyz1[1]) ; |
| 347 |
jac[5]=unite*(xyz3[2] - xyz1[2]) ; |
| 348 |
|
| 349 |
jac[6]=unite*(xyz4[0] - xyz1[0]) ; |
| 350 |
jac[7]=unite*(xyz4[1] - xyz1[1]) ; |
| 351 |
jac[8]=unite*(xyz4[2] - xyz1[2]) ; |
| 352 |
|
| 353 |
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]); |
| 354 |
|
| 355 |
return SIX_V; |
| 356 |
} |
| 357 |
|
| 358 |
void FEM_TETRA4::get_inverse_jacob(double* j,double *uv,double unite) |
| 359 |
{ |
| 360 |
double *xyz1=tab[0]->get_coord(); |
| 361 |
double *xyz2=tab[1]->get_coord(); |
| 362 |
double *xyz3=tab[2]->get_coord(); |
| 363 |
double *xyz4=tab[3]->get_coord(); |
| 364 |
|
| 365 |
double jac[9]; |
| 366 |
|
| 367 |
jac[0*3+0]= unite*(xyz2[0] - xyz1[0]) ; |
| 368 |
jac[0*3+1]= unite*(xyz2[1] - xyz1[1]) ; |
| 369 |
jac[0*3+2]= unite*(xyz2[2] - xyz1[2]) ; |
| 370 |
|
| 371 |
jac[1*3+0]= unite*(xyz3[0] - xyz1[0]) ; |
| 372 |
jac[1*3+1]= unite*(xyz3[1] - xyz1[1]) ; |
| 373 |
jac[1*3+2]= unite*(xyz3[2] - xyz1[2]) ; |
| 374 |
|
| 375 |
jac[2*3+0]= unite*(xyz4[0] - xyz1[0]) ; |
| 376 |
jac[2*3+1]= unite*(xyz4[1] - xyz1[1]) ; |
| 377 |
jac[2*3+2]= unite*(xyz4[2] - xyz1[2]) ; |
| 378 |
|
| 379 |
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]); |
| 380 |
|
| 381 |
j[0*3+0] = (jac[1*3+1]*jac[2*3+2]-jac[1*3+2]*jac[2*3+1])/(detj); |
| 382 |
j[0*3+1] = -(jac[0*3+1]*jac[2*3+2]-jac[0*3+2]*jac[2*3+1])/(detj); |
| 383 |
j[0*3+2] =-(-jac[0*3+1]*jac[1*3+2]+jac[0*3+2]*jac[1*3+1])/(detj); |
| 384 |
|
| 385 |
j[1*3+0] = -(jac[1*3+0]*jac[2*3+2]-jac[1*3+2]*jac[2*3+0])/(detj); |
| 386 |
j[1*3+1] = (jac[0*3+0]*jac[2*3+2]-jac[0*3+2]*jac[2*3+0])/(detj); |
| 387 |
j[1*3+2] = -(jac[0*3+0]*jac[1*3+2]-jac[0*3+2]*jac[1*3+0])/(detj); |
| 388 |
|
| 389 |
j[2*3+0] =-(-jac[1*3+0]*jac[2*3+1]+jac[1*3+1]*jac[2*3+0])/(detj); |
| 390 |
j[2*3+1] = -(jac[0*3+0]*jac[2*3+1]-jac[0*3+1]*jac[2*3+0])/(detj); |
| 391 |
j[2*3+2] = (jac[0*3+0]*jac[1*3+1]-jac[0*3+1]*jac[1*3+0])/(detj); |
| 392 |
|
| 393 |
|
| 394 |
|
| 395 |
} |
| 396 |
|
| 397 |
bool FEM_TETRA4::valide_parametre_EF(double* uvw) |
| 398 |
{ |
| 399 |
if (uvw[0]>=-1e-10) |
| 400 |
if (uvw[1]>=-1e-10) |
| 401 |
if (uvw[2]>=-1e-10) |
| 402 |
if (uvw[0]+uvw[1]+uvw[2]<=1.+1e-10) |
| 403 |
return true; |
| 404 |
return false; |
| 405 |
} |
| 406 |
void FEM_TETRA4::enregistrer(std::ostream& o) |
| 407 |
{ |
| 408 |
if (maillage!=NULL) |
| 409 |
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; |
| 410 |
else o << "%" << get_id() << "=FEM_TETRA4(NULL,$"<< maillage->get_id() << ",$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id() << ",$" << tab[3]->get_id() << ","<< get_etat(0) << ");" << std::endl; |
| 411 |
else |
| 412 |
if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_TETRA4($"<< 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; |
| 413 |
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; |
| 414 |
|
| 415 |
} |
| 416 |
|
| 417 |
|
| 418 |
int FEM_TETRA4::verifie_validite_decoupage_xfem(double *vol) |
| 419 |
{ |
| 420 |
if (get_nb_xfem(3)==0) return 1; |
| 421 |
FEM_NOEUD* no1=get_fem_noeud(0); |
| 422 |
FEM_NOEUD* no2=get_fem_noeud(1); |
| 423 |
FEM_NOEUD* no3=get_fem_noeud(2); |
| 424 |
FEM_NOEUD* no4=get_fem_noeud(3); |
| 425 |
OT_VECTEUR_3D vec1(no1->get_coord(),no2->get_coord()); |
| 426 |
OT_VECTEUR_3D vec2(no1->get_coord(),no3->get_coord()); |
| 427 |
OT_VECTEUR_3D vec3(no1->get_coord(),no4->get_coord()); |
| 428 |
double volume=(vec1&vec2)*vec3; |
| 429 |
int volumenul=0; |
| 430 |
for (int i=0;i<get_nb_xfem(3);i++) |
| 431 |
{ |
| 432 |
XFEM_TETRA4* xtet=(XFEM_TETRA4*)get_xfem(3,i); |
| 433 |
FEM_NOEUD* xno1=xtet->get_fem_noeud(0); |
| 434 |
FEM_NOEUD* xno2=xtet->get_fem_noeud(1); |
| 435 |
FEM_NOEUD* xno3=xtet->get_fem_noeud(2); |
| 436 |
FEM_NOEUD* xno4=xtet->get_fem_noeud(3); |
| 437 |
OT_VECTEUR_3D xvec1(xno1->get_coord(),xno2->get_coord()); |
| 438 |
OT_VECTEUR_3D xvec2(xno1->get_coord(),xno3->get_coord()); |
| 439 |
OT_VECTEUR_3D xvec3(xno1->get_coord(),xno4->get_coord()); |
| 440 |
double xvolume=(xvec1&xvec2)*xvec3; |
| 441 |
volume=volume-xvolume; |
| 442 |
if (xvolume<1e-10*volume) volumenul=1; |
| 443 |
} |
| 444 |
if (vol!=NULL) *vol=volume; |
| 445 |
if (fabs(volume)>1e-12) return 2*volumenul; |
| 446 |
return 1+2*volumenul; |
| 447 |
} |
