| 1 |
//------------------------------------------------------------ |
| 2 |
//------------------------------------------------------------ |
| 3 |
// MAGiC |
| 4 |
// Jean Christophe Cuilli�re et Vincent FRANCOIS |
| 5 |
// D�partement de G�nie M�canique - UQTR |
| 6 |
//------------------------------------------------------------ |
| 7 |
// Le projet MAGIC est un projet de recherche du d�partement |
| 8 |
// de g�nie m�canique de l'Universit� du Qu�bec � |
| 9 |
// Trois Rivi�res |
| 10 |
// Les librairies ne peuvent �tre utilis�es sans l'accord |
| 11 |
// des auteurs (contact : francois@uqtr.ca) |
| 12 |
//------------------------------------------------------------ |
| 13 |
//------------------------------------------------------------ |
| 14 |
// |
| 15 |
// fem_triangle3.cpp |
| 16 |
// |
| 17 |
//------------------------------------------------------------ |
| 18 |
//------------------------------------------------------------ |
| 19 |
// COPYRIGHT 2000 |
| 20 |
// 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" |
| 26 |
#include "fem_hexa8.h" |
| 27 |
#include "fem_maillage.h" |
| 28 |
#include "fem_noeud.h" |
| 29 |
#include "mg_element_maillage.h" |
| 30 |
#include "ot_tenseur.h" |
| 31 |
|
| 32 |
|
| 33 |
FEM_HEXA8::FEM_HEXA8(unsigned long num,class MG_ELEMENT_MAILLAGE* mai,class FEM_NOEUD** tabnoeud):FEM_ELEMENT3(num,mai),FEM_TEMPLATE_ELEMENT<8>(tabnoeud) |
| 34 |
{ |
| 35 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 36 |
tab[0]->get_lien_element3()->ajouter(this); |
| 37 |
tab[1]->get_lien_element3()->ajouter(this); |
| 38 |
tab[2]->get_lien_element3()->ajouter(this); |
| 39 |
tab[3]->get_lien_element3()->ajouter(this); |
| 40 |
tab[4]->get_lien_element3()->ajouter(this); |
| 41 |
tab[5]->get_lien_element3()->ajouter(this); |
| 42 |
tab[6]->get_lien_element3()->ajouter(this); |
| 43 |
tab[7]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
| 45 |
} |
| 46 |
|
| 47 |
FEM_HEXA8::FEM_HEXA8(class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(mai),FEM_TEMPLATE_ELEMENT<8>(tabnoeud) |
| 48 |
{ |
| 49 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 50 |
tab[0]->get_lien_element3()->ajouter(this); |
| 51 |
tab[1]->get_lien_element3()->ajouter(this); |
| 52 |
tab[2]->get_lien_element3()->ajouter(this); |
| 53 |
tab[3]->get_lien_element3()->ajouter(this); |
| 54 |
tab[4]->get_lien_element3()->ajouter(this); |
| 55 |
tab[5]->get_lien_element3()->ajouter(this); |
| 56 |
tab[6]->get_lien_element3()->ajouter(this); |
| 57 |
tab[7]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
| 59 |
} |
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|
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FEM_HEXA8::FEM_HEXA8(unsigned long num,class MG_ELEMENT_TOPOLOGIQUE* topo,class FEM_NOEUD** tabnoeud):FEM_ELEMENT3(num,topo),FEM_TEMPLATE_ELEMENT<8>(tabnoeud) |
| 62 |
{ |
| 63 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 64 |
tab[0]->get_lien_element3()->ajouter(this); |
| 65 |
tab[1]->get_lien_element3()->ajouter(this); |
| 66 |
tab[2]->get_lien_element3()->ajouter(this); |
| 67 |
tab[3]->get_lien_element3()->ajouter(this); |
| 68 |
tab[4]->get_lien_element3()->ajouter(this); |
| 69 |
tab[5]->get_lien_element3()->ajouter(this); |
| 70 |
tab[6]->get_lien_element3()->ajouter(this); |
| 71 |
tab[7]->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_HEXA8::FEM_HEXA8(class MG_ELEMENT_TOPOLOGIQUE* topo,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(topo),FEM_TEMPLATE_ELEMENT<8>(tabnoeud) |
| 76 |
{ |
| 77 |
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_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
| 80 |
tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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tab[4]->get_lien_element3()->ajouter(this); |
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tab[5]->get_lien_element3()->ajouter(this); |
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tab[6]->get_lien_element3()->ajouter(this); |
| 85 |
tab[7]->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_HEXA8::FEM_HEXA8(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<8>(tabnoeud) |
| 90 |
{ |
| 91 |
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_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); |
| 95 |
tab[3]->get_lien_element3()->ajouter(this); |
| 96 |
tab[4]->get_lien_element3()->ajouter(this); |
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tab[5]->get_lien_element3()->ajouter(this); |
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tab[6]->get_lien_element3()->ajouter(this); |
| 99 |
tab[7]->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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|
| 103 |
FEM_HEXA8::FEM_HEXA8(class MG_ELEMENT_TOPOLOGIQUE* topo,class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(topo,mai),FEM_TEMPLATE_ELEMENT<8>(tabnoeud) |
| 104 |
{ |
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if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 106 |
tab[0]->get_lien_element3()->ajouter(this); |
| 107 |
tab[1]->get_lien_element3()->ajouter(this); |
| 108 |
tab[2]->get_lien_element3()->ajouter(this); |
| 109 |
tab[3]->get_lien_element3()->ajouter(this); |
| 110 |
tab[4]->get_lien_element3()->ajouter(this); |
| 111 |
tab[5]->get_lien_element3()->ajouter(this); |
| 112 |
tab[6]->get_lien_element3()->ajouter(this); |
| 113 |
tab[7]->get_lien_element3()->ajouter(this); |
| 114 |
get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
| 115 |
} |
| 116 |
|
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|
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|
| 119 |
|
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FEM_HEXA8::FEM_HEXA8(FEM_HEXA8& mdd):FEM_ELEMENT3(mdd),FEM_TEMPLATE_ELEMENT<8>(mdd) |
| 121 |
{ |
| 122 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 123 |
tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
| 125 |
tab[2]->get_lien_element3()->ajouter(this); |
| 126 |
tab[3]->get_lien_element3()->ajouter(this); |
| 127 |
tab[4]->get_lien_element3()->ajouter(this); |
| 128 |
tab[5]->get_lien_element3()->ajouter(this); |
| 129 |
tab[6]->get_lien_element3()->ajouter(this); |
| 130 |
tab[7]->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_HEXA8::~FEM_HEXA8() |
| 134 |
{ |
| 135 |
if (liaison_topologique==NULL) return; |
| 136 |
if (liaison_topologique->get_dimension()==0) liaison_topologique->get_lien_fem_maillage()->supprimer(this); |
| 137 |
tab[0]->get_lien_element3()->supprimer(this); |
| 138 |
tab[1]->get_lien_element3()->supprimer(this); |
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tab[2]->get_lien_element3()->supprimer(this); |
| 140 |
tab[3]->get_lien_element3()->supprimer(this); |
| 141 |
tab[4]->get_lien_element3()->supprimer(this); |
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tab[5]->get_lien_element3()->supprimer(this); |
| 143 |
tab[6]->get_lien_element3()->supprimer(this); |
| 144 |
tab[7]->get_lien_element3()->supprimer(this); |
| 145 |
get_fem_noeudpetitid()->get_lien_petit_element3()->supprimer(this); |
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} |
| 147 |
|
| 148 |
|
| 149 |
FEM_ELEMENT_MAILLAGE* FEM_HEXA8::dupliquer(FEM_MAILLAGE *femmai,long decalage) |
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{ |
| 151 |
FEM_NOEUD* tabnoeud[8]; |
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tabnoeud[0]=femmai->get_fem_noeudid(tab[0]->get_id()+decalage); |
| 153 |
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_HEXA8* quad=new FEM_HEXA8(get_id()+decalage,maillage,tabnoeud); |
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femmai->ajouter_fem_element3(quad); |
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return quad; |
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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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int FEM_HEXA8::get_type_entite(void) |
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{ |
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return IDFEM_HEXA8; |
| 172 |
} |
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|
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int FEM_HEXA8::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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|
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int FEM_HEXA8::get_nb_fem_noeud(void) |
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{ |
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return FEM_TEMPLATE_ELEMENT<8>::get_nb_fem_noeud(); |
| 184 |
} |
| 185 |
|
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FEM_NOEUD* FEM_HEXA8::get_fem_noeud(int num) |
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{ |
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return FEM_TEMPLATE_ELEMENT<8>::get_fem_noeud(num); |
| 189 |
} |
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|
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void FEM_HEXA8::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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|
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BOITE_3D& FEM_HEXA8::get_boite_3D(void) |
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{ |
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return FEM_TEMPLATE_ELEMENT<8>::get_boite_3D(); |
| 199 |
} |
| 200 |
|
| 201 |
|
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void FEM_HEXA8::enregistrer(std::ostream& o) |
| 203 |
{ |
| 204 |
if (maillage!=NULL) |
| 205 |
if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_HEXA8($"<< get_lien_topologie()->get_id() << ",$" << 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; |
| 206 |
else o << "%" << get_id() << "=FEM_HEXA8(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()<< ",$" << tab[7]->get_id()<<");" << std::endl; |
| 207 |
else |
| 208 |
if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_HEXA8($"<< 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; |
| 209 |
else o << "%" << get_id() << "=FEM_HEXA8(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; |
| 210 |
|
| 211 |
} |
| 212 |
int FEM_HEXA8::nb_fonction_interpolation(void) |
| 213 |
{ |
| 214 |
return 8; |
| 215 |
} |
| 216 |
|
| 217 |
|
| 218 |
double FEM_HEXA8::get_fonction_interpolation(int num,double *uv) |
| 219 |
{ |
| 220 |
double val; |
| 221 |
double a1=1.+uv[0],a2=1.-uv[0]; |
| 222 |
double b1=1.+uv[1],b2=1.-uv[1]; |
| 223 |
double c1=1.+uv[2],c2=1.-uv[2]; |
| 224 |
switch (num) |
| 225 |
{ |
| 226 |
case 1: |
| 227 |
val=0.125*a2*b2*c2; |
| 228 |
break; |
| 229 |
case 2: |
| 230 |
val=0.125*a1*b2*c2; |
| 231 |
break; |
| 232 |
case 3: |
| 233 |
val=0.125*a1*b1*c2; |
| 234 |
break; |
| 235 |
case 4: |
| 236 |
val=0.125*a2*b1*c2; |
| 237 |
break; |
| 238 |
case 5: |
| 239 |
val=0.125*a2*b2*c1; |
| 240 |
break; |
| 241 |
case 6: |
| 242 |
val=0.125*a1*b2*c1; |
| 243 |
break; |
| 244 |
case 7: |
| 245 |
val=0.125*a1*b1*c1; |
| 246 |
break; |
| 247 |
case 8: |
| 248 |
val=0.125*a2*b1*c1; |
| 249 |
break; |
| 250 |
} |
| 251 |
return val; |
| 252 |
} |
| 253 |
|
| 254 |
double FEM_HEXA8::get_fonction_derive_interpolation(int num,int num_variable,double *uv) |
| 255 |
{ |
| 256 |
double val; |
| 257 |
double a1=1.+uv[0],a2=1.-uv[0]; |
| 258 |
double b1=1.+uv[1],b2=1.-uv[1]; |
| 259 |
double c1=1.+uv[2],c2=1.-uv[2]; |
| 260 |
switch (num) |
| 261 |
{ |
| 262 |
case 1: |
| 263 |
switch (num_variable) |
| 264 |
{ |
| 265 |
case 1: |
| 266 |
val=-0.125*b2*c2; |
| 267 |
break; |
| 268 |
case 2: |
| 269 |
val=-0.125*a2*c2; |
| 270 |
break; |
| 271 |
case 3: |
| 272 |
val=-0.125*a2*b2; |
| 273 |
break; |
| 274 |
} break; |
| 275 |
case 2: |
| 276 |
switch (num_variable) |
| 277 |
{ |
| 278 |
case 1: |
| 279 |
val=0.125*b2*c2; |
| 280 |
break; |
| 281 |
case 2: |
| 282 |
val=-0.125*a1*c2; |
| 283 |
break; |
| 284 |
case 3: |
| 285 |
val=-0.125*a1*b2; |
| 286 |
break; |
| 287 |
} break; |
| 288 |
case 3: |
| 289 |
switch (num_variable) |
| 290 |
{ |
| 291 |
case 1: |
| 292 |
val=0.125*b1*c2; |
| 293 |
break; |
| 294 |
case 2: |
| 295 |
val=0.125*a1*c2; |
| 296 |
break; |
| 297 |
case 3: |
| 298 |
val=-0.125*a1*b1; |
| 299 |
break; |
| 300 |
} break; |
| 301 |
case 4: |
| 302 |
switch (num_variable) |
| 303 |
{ |
| 304 |
case 1: |
| 305 |
val=-0.125*b1*c2; |
| 306 |
break; |
| 307 |
case 2: |
| 308 |
val=0.125*a2*c2; |
| 309 |
break; |
| 310 |
case 3: |
| 311 |
val=-0.125*a2*b1; |
| 312 |
break; |
| 313 |
} break; |
| 314 |
case 5: |
| 315 |
switch (num_variable) |
| 316 |
{ |
| 317 |
case 1: |
| 318 |
val=-0.125*b2*c1; |
| 319 |
break; |
| 320 |
case 2: |
| 321 |
val=-0.125*a2*c1; |
| 322 |
break; |
| 323 |
case 3: |
| 324 |
val=0.125*a2*b2; |
| 325 |
break; |
| 326 |
} break; |
| 327 |
case 6: |
| 328 |
switch (num_variable) |
| 329 |
{ |
| 330 |
case 1: |
| 331 |
val=0.125*b2*c1; |
| 332 |
break; |
| 333 |
case 2: |
| 334 |
val=-0.125*a1*c1; |
| 335 |
break; |
| 336 |
case 3: |
| 337 |
val=0.125*a1*b2; |
| 338 |
break; |
| 339 |
} break; |
| 340 |
case 7: |
| 341 |
switch (num_variable) |
| 342 |
{ |
| 343 |
case 1: |
| 344 |
val=0.125*b1*c1; |
| 345 |
break; |
| 346 |
case 2: |
| 347 |
val=0.125*a1*c1; |
| 348 |
break; |
| 349 |
case 3: |
| 350 |
val=0.125*a1*b1; |
| 351 |
break; |
| 352 |
} break; |
| 353 |
case 8: |
| 354 |
switch (num_variable) |
| 355 |
{ |
| 356 |
case 1: |
| 357 |
val=-0.125*b1*c1; |
| 358 |
break; |
| 359 |
case 2: |
| 360 |
val=0.125*a2*c1; |
| 361 |
break; |
| 362 |
case 3: |
| 363 |
val=0.125*a2*b1; |
| 364 |
break; |
| 365 |
} break; |
| 366 |
} |
| 367 |
return val; |
| 368 |
} |
| 369 |
|
| 370 |
double FEM_HEXA8::get_jacobien(double* jac,double *uv,int& li,int& col,double unite) |
| 371 |
{ |
| 372 |
li=3;col=3; |
| 373 |
OT_TENSEUR Ni(3,8),Xi(8,3); |
| 374 |
for (int i=0;i<3;i++) |
| 375 |
for (int j=0;j<8;j++) |
| 376 |
Ni(i,j)=get_fonction_derive_interpolation(j+1,i+1,uv); |
| 377 |
for (int i=0;i<8;i++) |
| 378 |
{ |
| 379 |
double *xyz=tab[i]->get_coord(); |
| 380 |
Xi(i,0)=xyz[0]*unite; |
| 381 |
Xi(i,1)=xyz[1]*unite; |
| 382 |
Xi(i,2)=xyz[2]*unite; |
| 383 |
} |
| 384 |
OT_TENSEUR jacobi=Ni*Xi; |
| 385 |
jac[0]=jacobi(0,0).get_x(); |
| 386 |
jac[1]=jacobi(0,1).get_x(); |
| 387 |
jac[2]=jacobi(0,2).get_x(); |
| 388 |
jac[3]=jacobi(1,0).get_x(); |
| 389 |
jac[4]=jacobi(1,1).get_x(); |
| 390 |
jac[5]=jacobi(1,2).get_x(); |
| 391 |
jac[6]=jacobi(2,0).get_x(); |
| 392 |
jac[7]=jacobi(2,1).get_x(); |
| 393 |
jac[8]=jacobi(2,2).get_x(); |
| 394 |
double det=jac[0]*jac[4]*jac[8]+jac[3]*jac[7]*jac[2]+jac[6]*jac[1]*jac[5]-jac[2]*jac[4]*jac[6]-jac[5]*jac[7]*jac[0]-jac[8]*jac[1]*jac[3]; |
| 395 |
return det; |
| 396 |
|
| 397 |
} |
| 398 |
|
| 399 |
void FEM_HEXA8::get_inverse_jacob(double* j,double *uv,double unite) |
| 400 |
{ |
| 401 |
double jac[9]; |
| 402 |
int li,col; |
| 403 |
double detj=get_jacobien(jac,uv,li,col,unite); |
| 404 |
j[0*3+0] = (jac[1*3+1]*jac[2*3+2]-jac[1*3+2]*jac[2*3+1])/(detj); |
| 405 |
j[0*3+1] = -(jac[0*3+1]*jac[2*3+2]-jac[0*3+2]*jac[2*3+1])/(detj); |
| 406 |
j[0*3+2] =-(-jac[0*3+1]*jac[1*3+2]+jac[0*3+2]*jac[1*3+1])/(detj); |
| 407 |
|
| 408 |
j[1*3+0] = -(jac[1*3+0]*jac[2*3+2]-jac[1*3+2]*jac[2*3+0])/(detj); |
| 409 |
j[1*3+1] = (jac[0*3+0]*jac[2*3+2]-jac[0*3+2]*jac[2*3+0])/(detj); |
| 410 |
j[1*3+2] = -(jac[0*3+0]*jac[1*3+2]-jac[0*3+2]*jac[1*3+0])/(detj); |
| 411 |
|
| 412 |
j[2*3+0] =-(-jac[1*3+0]*jac[2*3+1]+jac[1*3+1]*jac[2*3+0])/(detj); |
| 413 |
j[2*3+1] = -(jac[0*3+0]*jac[2*3+1]-jac[0*3+1]*jac[2*3+0])/(detj); |
| 414 |
j[2*3+2] = (jac[0*3+0]*jac[1*3+1]-jac[0*3+1]*jac[1*3+0])/(detj); |
| 415 |
|
| 416 |
} |
| 417 |
|
| 418 |
|
| 419 |
|
| 420 |
int FEM_HEXA8::verifie_validite_decoupage_xfem(double *vol) |
| 421 |
{ |
| 422 |
|
| 423 |
} |
