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francois |
310 |
//------------------------------------------------------------ |
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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 |
754 |
#include "ot_quadrature_gauss.h" |
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francois |
310 |
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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 |
378 |
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 |
310 |
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francois |
378 |
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 |
310 |
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 |
663 |
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 |
310 |
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 |
674 |
if (uvw[0]>=-1.-1e-10) |
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if (uvw[1]>=-1.-1e-10) |
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francois |
635 |
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 |
310 |
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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 |
310 |
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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 |
} |
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francois |
637 |
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int FEM_QUADRANGLE8::get_nb_pt_gauss(int degre) |
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{ |
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francois |
754 |
return OT_POINTS_GAUSS::get_nb_point_quad(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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if (degre<3) |
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{ |
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if (num==0) {w=1.333333333333333;uv[0]=0.816496580927726;uv[1]=0.;} |
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if (num==1) {w=1.333333333333333;uv[0]=-0.408248290463863;uv[1]=-0.707106781186548;} |
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if (num==2) {w=1.333333333333333;uv[0]=-0.408248290463863;uv[1]=0.707106781186548;} |
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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=1.;uv[0]=0.816496580927726;uv[1]=0.;} |
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if (num==1) {w=1.;uv[0]=-0.816496580927726;uv[1]=0.;} |
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if (num==2) {w=1.;uv[0]=0.;uv[1]=0.816496580927726;} |
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if (num==3) {w=1.;uv[0]=0.;uv[1]=-0.816496580927726;} |
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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=1.142857142857140;uv[0]=0.;uv[1]=0.;} |
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if (num==1) {w=0.317460317460317;uv[0]=0.;uv[1]=0.966091783079296;} |
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if (num==2) {w=0.317460317460317;uv[0]=0.;uv[1]=-0.966091783079296;} |
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if (num==3) {w=0.555555555555556;uv[0]=0.774596669241483;uv[1]=-0.577350269189626;} |
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if (num==4) {w=0.555555555555556;uv[0]=-0.774596669241483;uv[1]=-0.577350269189626;} |
| 256 |
|
|
if (num==5) {w=0.555555555555556;uv[0]=-0.774596669241483;uv[1]=0.577350269189626;} |
| 257 |
|
|
if (num==6) {w=0.555555555555556;uv[0]=0.774596669241483;uv[1]=0.577350269189626;} |
| 258 |
|
|
return; |
| 259 |
|
|
} |
| 260 |
|
|
} |
| 261 |
francois |
638 |
int FEM_QUADRANGLE8::get_nb_fonction_interpolation(void) |
| 262 |
francois |
310 |
{ |
| 263 |
|
|
return 8; |
| 264 |
|
|
} |
| 265 |
|
|
|
| 266 |
francois |
638 |
int FEM_QUADRANGLE8::get_degremax_fonction_interpolation(void) |
| 267 |
|
|
{ |
| 268 |
|
|
return 3; |
| 269 |
|
|
} |
| 270 |
francois |
310 |
double FEM_QUADRANGLE8::get_fonction_interpolation(int num,double *uv) |
| 271 |
|
|
{ |
| 272 |
|
|
double val; |
| 273 |
|
|
switch (num) |
| 274 |
|
|
{ |
| 275 |
|
|
case 1: |
| 276 |
|
|
val=-0.25*(1-uv[0])*(1-uv[1])*(1.+uv[0]+uv[1]); |
| 277 |
|
|
break; |
| 278 |
|
|
case 2: |
| 279 |
|
|
val=0.5*(1-uv[0]*uv[0])*(1-uv[1]); |
| 280 |
|
|
break; |
| 281 |
|
|
case 3: |
| 282 |
|
|
val=-0.25*(1+uv[0])*(1-uv[1])*(1.-uv[0]+uv[1]); |
| 283 |
|
|
break; |
| 284 |
|
|
case 4: |
| 285 |
|
|
val=0.5*(1+uv[0])*(1-uv[1]*uv[1]); |
| 286 |
|
|
break; |
| 287 |
|
|
case 5: |
| 288 |
|
|
val=-0.25*(1+uv[0])*(1+uv[1])*(1.-uv[0]-uv[1]); |
| 289 |
|
|
break; |
| 290 |
|
|
case 6: |
| 291 |
|
|
val=0.5*(1-uv[0]*uv[0])*(1+uv[1]); |
| 292 |
|
|
break; |
| 293 |
|
|
case 7: |
| 294 |
|
|
val=-0.25*(1-uv[0])*(1+uv[1])*(1.+uv[0]-uv[1]); |
| 295 |
|
|
break; |
| 296 |
|
|
case 8: |
| 297 |
|
|
val=0.5*(1-uv[0])*(1-uv[1]*uv[1]); |
| 298 |
|
|
break; |
| 299 |
|
|
} |
| 300 |
|
|
return val; |
| 301 |
|
|
} |
| 302 |
|
|
|
| 303 |
|
|
double FEM_QUADRANGLE8::get_fonction_derive_interpolation(int num,int num_variable,double *uv) |
| 304 |
|
|
{ |
| 305 |
|
|
double val; |
| 306 |
|
|
|
| 307 |
|
|
switch (num) |
| 308 |
|
|
{ |
| 309 |
|
|
case 1: |
| 310 |
|
|
switch (num_variable) |
| 311 |
|
|
{ |
| 312 |
|
|
case 1: |
| 313 |
|
|
val=0.25*(1-uv[1])*(2*uv[0]+uv[1]); |
| 314 |
|
|
break; |
| 315 |
|
|
case 2: |
| 316 |
|
|
val=0.25*(1-uv[0])*(uv[0]+2.*uv[1]); |
| 317 |
|
|
break; |
| 318 |
|
|
} break; |
| 319 |
|
|
case 2: |
| 320 |
|
|
switch (num_variable) |
| 321 |
|
|
{ |
| 322 |
|
|
case 1: |
| 323 |
|
|
val=-uv[0]*(1.-uv[1]); |
| 324 |
|
|
break; |
| 325 |
|
|
case 2: |
| 326 |
|
|
val=-0.5*(1-uv[0]*uv[0]); |
| 327 |
|
|
break; |
| 328 |
|
|
}break; |
| 329 |
|
|
case 3: |
| 330 |
|
|
switch (num_variable) |
| 331 |
|
|
{ |
| 332 |
|
|
case 1: |
| 333 |
|
|
val=0.25*(1.-uv[1])*(2*uv[0]-uv[1]); |
| 334 |
|
|
break; |
| 335 |
|
|
case 2: |
| 336 |
|
|
val=-0.25*(1.+uv[0])*(uv[0]-2.*uv[1]); |
| 337 |
|
|
break; |
| 338 |
|
|
}break; |
| 339 |
|
|
case 4: |
| 340 |
|
|
switch (num_variable) |
| 341 |
|
|
{ |
| 342 |
|
|
case 1: |
| 343 |
|
|
val=0.5*(1.-uv[1]*uv[1]); |
| 344 |
|
|
break; |
| 345 |
|
|
case 2: |
| 346 |
|
|
val=-uv[1]*(1+uv[0]); |
| 347 |
|
|
break; |
| 348 |
|
|
}break; |
| 349 |
|
|
case 5: |
| 350 |
|
|
switch (num_variable) |
| 351 |
|
|
{ |
| 352 |
|
|
case 1: |
| 353 |
|
|
val=0.25*(1+uv[1])*(2*uv[0]+uv[1]); |
| 354 |
|
|
break; |
| 355 |
|
|
case 2: |
| 356 |
|
|
val=0.25*(1+uv[0])*(uv[0]+2.*uv[1]); |
| 357 |
|
|
break; |
| 358 |
|
|
} break; |
| 359 |
|
|
case 6: |
| 360 |
|
|
switch (num_variable) |
| 361 |
|
|
{ |
| 362 |
|
|
case 1: |
| 363 |
|
|
val=-uv[0]*(1.+uv[1]); |
| 364 |
|
|
break; |
| 365 |
|
|
case 2: |
| 366 |
|
|
val=-0.5*(1-uv[0]*uv[0]); |
| 367 |
|
|
break; |
| 368 |
|
|
}break; |
| 369 |
|
|
case 7: |
| 370 |
|
|
switch (num_variable) |
| 371 |
|
|
{ |
| 372 |
|
|
case 1: |
| 373 |
|
|
val=0.25*(1.+uv[1])*(2*uv[0]-uv[1]); |
| 374 |
|
|
break; |
| 375 |
|
|
case 2: |
| 376 |
|
|
val=-0.25*(1.-uv[0])*(uv[0]-2.*uv[1]); |
| 377 |
|
|
break; |
| 378 |
|
|
}break; |
| 379 |
|
|
case 8: |
| 380 |
|
|
switch (num_variable) |
| 381 |
|
|
{ |
| 382 |
|
|
case 1: |
| 383 |
|
|
val=-0.5*(1.-uv[1]*uv[1]); |
| 384 |
|
|
break; |
| 385 |
|
|
case 2: |
| 386 |
|
|
val=-uv[1]*(1+uv[0]); |
| 387 |
|
|
break; |
| 388 |
|
|
}break; |
| 389 |
|
|
|
| 390 |
|
|
} |
| 391 |
|
|
return val; |
| 392 |
|
|
} |
| 393 |
|
|
|
| 394 |
|
|
double FEM_QUADRANGLE8::get_jacobien(double* jac,double *uv,int& li,int& col,double unite) |
| 395 |
|
|
{ |
| 396 |
|
|
|
| 397 |
|
|
} |
| 398 |
|
|
|
| 399 |
|
|
void FEM_QUADRANGLE8::get_inverse_jacob(double* j,double *uv,double unite) |
| 400 |
|
|
{ |
| 401 |
|
|
|
| 402 |
|
|
} |
