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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_triangle3.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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gervaislavoie |
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#include "math.h" |
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francois |
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francois |
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FEM_TRIANGLE3::FEM_TRIANGLE3(unsigned long num,class MG_ELEMENT_MAILLAGE* mai,class FEM_NOEUD** tabnoeud):FEM_ELEMENT2(num,mai),FEM_TEMPLATE_ELEMENT<3>(tabnoeud) |
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francois |
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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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francois |
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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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get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
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francois |
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} |
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francois |
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FEM_TRIANGLE3::FEM_TRIANGLE3(class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT2(mai),FEM_TEMPLATE_ELEMENT<3>(tabnoeud) |
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francois |
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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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francois |
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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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get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
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francois |
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} |
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francois |
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FEM_TRIANGLE3::FEM_TRIANGLE3(unsigned long num,class MG_ELEMENT_TOPOLOGIQUE* topo,class FEM_NOEUD** tabnoeud):FEM_ELEMENT2(num,topo),FEM_TEMPLATE_ELEMENT<3>(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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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_TRIANGLE3::FEM_TRIANGLE3(class MG_ELEMENT_TOPOLOGIQUE* topo,FEM_NOEUD** tabnoeud):FEM_ELEMENT2(topo),FEM_TEMPLATE_ELEMENT<3>(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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get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
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} |
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FEM_TRIANGLE3::FEM_TRIANGLE3(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<3>(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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get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
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} |
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FEM_TRIANGLE3::FEM_TRIANGLE3(class MG_ELEMENT_TOPOLOGIQUE* topo,class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT2(topo,mai),FEM_TEMPLATE_ELEMENT<3>(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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get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
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} |
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francois |
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FEM_TRIANGLE3::FEM_TRIANGLE3(FEM_TRIANGLE3& mdd):FEM_ELEMENT2(mdd),FEM_TEMPLATE_ELEMENT<3>(mdd) |
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francois |
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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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francois |
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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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get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
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francois |
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} |
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FEM_TRIANGLE3::~FEM_TRIANGLE3() |
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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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get_fem_noeudpetitid()->get_lien_petit_element2()->supprimer(this); |
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francois |
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} |
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FEM_ELEMENT_MAILLAGE* FEM_TRIANGLE3::dupliquer(FEM_MAILLAGE *femmai,long decalage) |
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{ |
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FEM_NOEUD* tabnoeud[3]; |
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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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FEM_TRIANGLE3* tri=new FEM_TRIANGLE3(get_id()+decalage,maillage,tabnoeud); |
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francois |
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femmai->ajouter_fem_element2(tri); |
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francois |
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return tri; |
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} |
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francois |
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void FEM_TRIANGLE3::reinit_boite_3D(void) |
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{ |
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FEM_TEMPLATE_ELEMENT<3>::reinit_boite_3D(); |
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} |
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francois |
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int FEM_TRIANGLE3::get_type_entite(void) |
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{ |
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return IDFEM_TRIANGLE3; |
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} |
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int FEM_TRIANGLE3::get_dimension(void) |
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{ |
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return 2; |
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} |
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int FEM_TRIANGLE3::get_nb_fem_noeud(void) |
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{ |
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return FEM_TEMPLATE_ELEMENT<3>::get_nb_fem_noeud(); |
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} |
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FEM_NOEUD* FEM_TRIANGLE3::get_fem_noeud(int num) |
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{ |
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return FEM_TEMPLATE_ELEMENT<3>::get_fem_noeud(num); |
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} |
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void FEM_TRIANGLE3::change_noeud(int num,FEM_NOEUD* noeud) |
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{ |
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FEM_TEMPLATE_ELEMENT<3>::change_noeud(num,noeud); |
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} |
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BOITE_3D& FEM_TRIANGLE3::get_boite_3D(void) |
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{ |
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return FEM_TEMPLATE_ELEMENT<3>::get_boite_3D(); |
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} |
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void FEM_TRIANGLE3::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_TRIANGLE3($"<< get_lien_topologie()->get_id() << ",$" << maillage->get_id() << ",$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id()<< ");" << std::endl; |
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else o << "%" << get_id() << "=FEM_TRIANGLE3(NULL,$" << maillage->get_id() << ",$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id()<< ");" << std::endl; |
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else |
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if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_TRIANGLE3($"<< get_lien_topologie()->get_id() << ",NULL,$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id()<< ");" << std::endl; |
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else o << "%" << get_id() << "=FEM_TRIANGLE3(NULL,NULL,$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id()<< ");" << std::endl; |
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francois |
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} |
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francois |
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francois |
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int FEM_TRIANGLE3::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 3; |
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if (degre<4) return 4; |
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if (degre<5) return 6; |
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if (degre<6) return 7; |
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return 0; |
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} |
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void FEM_TRIANGLE3::get_pt_gauss(int degre,int num,double &w,double *uv) |
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{ |
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if (degre<2) |
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{ |
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if (num==0) {w=0.5;uv[0]=0.333333333333333;uv[1]=0.333333333333333;} |
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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=0.166666666666667;uv[0]=0.166666666666667;uv[1]=0.166666666666667;} |
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if (num==1) {w=0.166666666666667;uv[0]=0.666666666666667;uv[1]=0.166666666666667;} |
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if (num==2) {w=0.166666666666667;uv[0]=0.166666666666667;uv[1]=0.666666666666667;} |
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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=-0.28125;uv[0]=0.333333333333333;uv[1]=0.333333333333333;} |
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if (num==1) {w=0.260416666666667;uv[0]=0.2;uv[1]=0.2;} |
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if (num==2) {w=0.260416666666667;uv[0]=0.6;uv[1]=0.2;} |
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if (num==3) {w=0.260416666666667;uv[0]=0.2;uv[1]=0.6;} |
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return; |
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} |
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if (degre<5) |
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{ |
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if (num==0) {w=0.111690794839005;uv[0]=0.445948490915965;uv[1]=0.445948490915965;} |
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if (num==1) {w=0.111690794839005;uv[0]=0.108103018168070;uv[1]=0.445948490915965;} |
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if (num==2) {w=0.111690794839005;uv[0]=0.445948490915965;uv[1]=0.108103018168070;} |
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if (num==3) {w=0.054975871827661;uv[0]=0.091576213509771;uv[1]=0.091576213509771;} |
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if (num==4) {w=0.054975871827661;uv[0]=0.816847572980458;uv[1]=0.091576213509771;} |
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if (num==5) {w=0.054975871827661;uv[0]=0.091576213509771;uv[1]=0.816847572980458;} |
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return; |
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} |
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if (degre<6) |
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{ |
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if (num==0) {w=0.1125;uv[0]=0.333333333333333;uv[1]=0.333333333333333;} |
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if (num==1) {w=0.066197076394253;uv[0]=0.470142064105115;uv[1]=0.470142064105115;} |
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if (num==2) {w=0.066197076394253;uv[0]=0.059715871789770;uv[1]=0.470142064105115;} |
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if (num==3) {w=0.066197076394253;uv[0]=0.470142064105115;uv[1]=0.059715871789770;} |
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if (num==4) {w=0.062969590272413;uv[0]=0.101286507323456;uv[1]=0.101286507323456;} |
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if (num==5) {w=0.062969590272413;uv[0]=0.797426985353088;uv[1]=0.101286507323456;} |
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if (num==6) {w=0.062969590272413;uv[0]=0.101286507323456;uv[1]=0.797426985353088;} |
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return; |
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} |
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} |
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francois |
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int FEM_TRIANGLE3::get_nb_fonction_interpolation(void) |
221 |
francois |
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{ |
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return 3; |
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} |
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francois |
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int FEM_TRIANGLE3::get_degremax_fonction_interpolation(void) |
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{ |
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return 1; |
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} |
228 |
francois |
310 |
double FEM_TRIANGLE3::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]; |
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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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} |
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return val; |
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} |
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double FEM_TRIANGLE3::get_fonction_derive_interpolation(int num,int num_variable,double *uv) |
248 |
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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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} 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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}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.; |
281 |
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break; |
282 |
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}break; |
283 |
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} |
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return val; |
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} |
287 |
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288 |
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double FEM_TRIANGLE3::get_jacobien(double* jac,double *uv,int& li,int& col,double unite) |
289 |
gervaislavoie |
382 |
{ |
290 |
francois |
647 |
int nb=get_nb_fem_noeud(); |
291 |
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OT_VECTEUR_3D *point= new OT_VECTEUR_3D[nb]; |
292 |
gervaislavoie |
382 |
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293 |
francois |
647 |
for (int i=0;i<nb;i++) |
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{ |
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point[i].change_x(get_fem_noeud(i)->get_x()); |
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|
|
point[i].change_y(get_fem_noeud(i)->get_y()); |
297 |
|
|
point[i].change_z(get_fem_noeud(i)->get_z()); |
298 |
|
|
} |
299 |
|
|
|
300 |
|
|
OT_MATRICE_3D J; |
301 |
|
|
for (int i=0;i<2;i++) |
302 |
|
|
{ |
303 |
|
|
J(i,0)=0.;J(i,1)=0.;J(i,2)=0.; |
304 |
|
|
for (int k=0;k<nb;k++) |
305 |
|
|
{ |
306 |
|
|
J(i,0)=J(i,0)+get_fonction_derive_interpolation(k+1,i+1,uv)*point[k].get_x(); |
307 |
|
|
J(i,1)=J(i,1)+get_fonction_derive_interpolation(k+1,i+1,uv)*point[k].get_y(); |
308 |
|
|
J(i,2)=J(i,2)+get_fonction_derive_interpolation(k+1,i+1,uv)*point[k].get_z(); |
309 |
|
|
} |
310 |
|
|
} |
311 |
|
|
OT_VECTEUR_3D J1(J(0,0),J(0,1),J(0,2)); |
312 |
|
|
OT_VECTEUR_3D J2(J(1,0),J(1,1),J(1,2)); |
313 |
|
|
OT_VECTEUR_3D J3=J1&J2; |
314 |
|
|
J3.norme(); |
315 |
|
|
J(2,0)=J3(0); |
316 |
|
|
J(2,1)=J3(1); |
317 |
|
|
J(2,2)=J3(2); |
318 |
gervaislavoie |
389 |
|
319 |
francois |
647 |
jac[0]=J(0,0); |
320 |
|
|
jac[1]=J(0,1); |
321 |
|
|
jac[2]=J(0,2); |
322 |
gervaislavoie |
389 |
|
323 |
francois |
647 |
jac[3]=J(1,0); |
324 |
|
|
jac[4]=J(1,1); |
325 |
|
|
jac[5]=J(1,2); |
326 |
gervaislavoie |
389 |
|
327 |
francois |
647 |
jac[6]=J(2,0); |
328 |
|
|
jac[7]=J(2,1); |
329 |
|
|
jac[8]=J(2,2); |
330 |
|
|
li=3;col=3; |
331 |
gervaislavoie |
389 |
|
332 |
francois |
647 |
return J.get_determinant(); |
333 |
francois |
310 |
} |
334 |
|
|
|
335 |
francois |
635 |
|
336 |
|
|
bool FEM_TRIANGLE3::valide_parametre_EF(double* uvw) |
337 |
|
|
{ |
338 |
|
|
if (uvw[0]>=-1e-10) |
339 |
|
|
if (uvw[1]>=-1e-10) |
340 |
|
|
if (uvw[0]+uvw[1]<=1.+1e-10) |
341 |
|
|
return true; |
342 |
|
|
return false; |
343 |
|
|
} |
344 |
|
|
|
345 |
francois |
310 |
void FEM_TRIANGLE3::get_inverse_jacob(double* j,double *uv,double unite) |
346 |
|
|
{ |
347 |
francois |
647 |
double jac[9]; |
348 |
|
|
int li,col; |
349 |
|
|
get_jacobien(jac,uv,li,col); |
350 |
|
|
OT_MATRICE_3D J; |
351 |
|
|
J(0,0)=jac[0]; |
352 |
|
|
J(0,1)=jac[1]; |
353 |
|
|
J(0,2)=jac[2]; |
354 |
|
|
J(1,0)=jac[3]; |
355 |
|
|
J(1,1)=jac[4]; |
356 |
|
|
J(1,2)=jac[5]; |
357 |
|
|
J(2,0)=jac[6]; |
358 |
|
|
J(2,1)=jac[7]; |
359 |
|
|
J(2,2)=jac[8]; |
360 |
|
|
OT_MATRICE_3D j_i=J.inverse(); |
361 |
|
|
|
362 |
gervaislavoie |
382 |
|
363 |
|
|
j[0]=j_i(0,0); |
364 |
francois |
647 |
j[1]=j_i(0,1); |
365 |
|
|
j[2]=j_i(0,2); |
366 |
gervaislavoie |
382 |
|
367 |
francois |
647 |
j[3]=j_i(1,0); |
368 |
gervaislavoie |
382 |
j[4]=j_i(1,1); |
369 |
francois |
647 |
j[5]=j_i(1,2); |
370 |
gervaislavoie |
382 |
|
371 |
francois |
647 |
j[6]=j_i(2,0); |
372 |
|
|
j[7]=j_i(2,1); |
373 |
gervaislavoie |
382 |
j[8]=j_i(2,2); |
374 |
francois |
310 |
} |