| 1 |
francois |
283 |
//------------------------------------------------------------ |
| 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_triangle6.cpp |
| 16 |
|
|
// |
| 17 |
|
|
//------------------------------------------------------------ |
| 18 |
|
|
//------------------------------------------------------------ |
| 19 |
|
|
// COPYRIGHT 2000 |
| 20 |
|
|
// Version du 02/03/2006 � 11H22 |
| 21 |
|
|
//------------------------------------------------------------ |
| 22 |
|
|
//------------------------------------------------------------ |
| 23 |
|
|
|
| 24 |
|
|
|
| 25 |
|
|
#include "gestionversion.h" |
| 26 |
|
|
#include "fem_triangle6.h" |
| 27 |
|
|
#include "fem_noeud.h" |
| 28 |
|
|
#include "mg_element_maillage.h" |
| 29 |
|
|
#include "fem_maillage.h" |
| 30 |
francois |
612 |
#include "math.h" |
| 31 |
|
|
#include "ot_quadrature_gauss.h" |
| 32 |
francois |
283 |
|
| 33 |
francois |
309 |
FEM_TRIANGLE6::FEM_TRIANGLE6(unsigned long num,class MG_ELEMENT_MAILLAGE* mai,class FEM_NOEUD** tabnoeud):FEM_ELEMENT2(num,mai),FEM_TEMPLATE_ELEMENT<6>(tabnoeud) |
| 34 |
francois |
283 |
{ |
| 35 |
|
|
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 36 |
francois |
309 |
tab[0]->get_lien_element2()->ajouter(this); |
| 37 |
|
|
tab[1]->get_lien_element2()->ajouter(this); |
| 38 |
|
|
tab[2]->get_lien_element2()->ajouter(this); |
| 39 |
|
|
tab[3]->get_lien_element2()->ajouter(this); |
| 40 |
|
|
tab[4]->get_lien_element2()->ajouter(this); |
| 41 |
|
|
tab[5]->get_lien_element2()->ajouter(this); |
| 42 |
|
|
get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
| 43 |
francois |
283 |
} |
| 44 |
|
|
|
| 45 |
francois |
309 |
FEM_TRIANGLE6::FEM_TRIANGLE6(class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT2(mai),FEM_TEMPLATE_ELEMENT<6>(tabnoeud) |
| 46 |
francois |
283 |
{ |
| 47 |
|
|
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 48 |
francois |
309 |
tab[0]->get_lien_element2()->ajouter(this); |
| 49 |
|
|
tab[1]->get_lien_element2()->ajouter(this); |
| 50 |
|
|
tab[2]->get_lien_element2()->ajouter(this); |
| 51 |
|
|
tab[3]->get_lien_element2()->ajouter(this); |
| 52 |
|
|
tab[4]->get_lien_element2()->ajouter(this); |
| 53 |
|
|
tab[5]->get_lien_element2()->ajouter(this); |
| 54 |
|
|
get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
| 55 |
francois |
283 |
} |
| 56 |
|
|
|
| 57 |
francois |
378 |
FEM_TRIANGLE6::FEM_TRIANGLE6(unsigned long num,class MG_ELEMENT_TOPOLOGIQUE* topo,class FEM_NOEUD** tabnoeud):FEM_ELEMENT2(num,topo),FEM_TEMPLATE_ELEMENT<6>(tabnoeud) |
| 58 |
|
|
{ |
| 59 |
|
|
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 60 |
|
|
tab[0]->get_lien_element2()->ajouter(this); |
| 61 |
|
|
tab[1]->get_lien_element2()->ajouter(this); |
| 62 |
|
|
tab[2]->get_lien_element2()->ajouter(this); |
| 63 |
|
|
tab[3]->get_lien_element2()->ajouter(this); |
| 64 |
|
|
tab[4]->get_lien_element2()->ajouter(this); |
| 65 |
|
|
tab[5]->get_lien_element2()->ajouter(this); |
| 66 |
|
|
get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
| 67 |
|
|
} |
| 68 |
|
|
|
| 69 |
|
|
FEM_TRIANGLE6::FEM_TRIANGLE6(class MG_ELEMENT_TOPOLOGIQUE* topo,FEM_NOEUD** tabnoeud):FEM_ELEMENT2(topo),FEM_TEMPLATE_ELEMENT<6>(tabnoeud) |
| 70 |
|
|
{ |
| 71 |
|
|
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 72 |
|
|
tab[0]->get_lien_element2()->ajouter(this); |
| 73 |
|
|
tab[1]->get_lien_element2()->ajouter(this); |
| 74 |
|
|
tab[2]->get_lien_element2()->ajouter(this); |
| 75 |
|
|
tab[3]->get_lien_element2()->ajouter(this); |
| 76 |
|
|
tab[4]->get_lien_element2()->ajouter(this); |
| 77 |
|
|
tab[5]->get_lien_element2()->ajouter(this); |
| 78 |
|
|
get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
| 79 |
|
|
} |
| 80 |
|
|
FEM_TRIANGLE6::FEM_TRIANGLE6(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<6>(tabnoeud) |
| 81 |
|
|
{ |
| 82 |
|
|
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 83 |
|
|
tab[0]->get_lien_element2()->ajouter(this); |
| 84 |
|
|
tab[1]->get_lien_element2()->ajouter(this); |
| 85 |
|
|
tab[2]->get_lien_element2()->ajouter(this); |
| 86 |
|
|
tab[3]->get_lien_element2()->ajouter(this); |
| 87 |
|
|
tab[4]->get_lien_element2()->ajouter(this); |
| 88 |
|
|
tab[5]->get_lien_element2()->ajouter(this); |
| 89 |
|
|
get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
| 90 |
|
|
} |
| 91 |
|
|
|
| 92 |
|
|
FEM_TRIANGLE6::FEM_TRIANGLE6(class MG_ELEMENT_TOPOLOGIQUE* topo,class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT2(topo,mai),FEM_TEMPLATE_ELEMENT<6>(tabnoeud) |
| 93 |
|
|
{ |
| 94 |
|
|
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 95 |
|
|
tab[0]->get_lien_element2()->ajouter(this); |
| 96 |
|
|
tab[1]->get_lien_element2()->ajouter(this); |
| 97 |
|
|
tab[2]->get_lien_element2()->ajouter(this); |
| 98 |
|
|
tab[3]->get_lien_element2()->ajouter(this); |
| 99 |
|
|
tab[4]->get_lien_element2()->ajouter(this); |
| 100 |
|
|
tab[5]->get_lien_element2()->ajouter(this); |
| 101 |
|
|
get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
| 102 |
|
|
} |
| 103 |
|
|
|
| 104 |
|
|
|
| 105 |
|
|
|
| 106 |
|
|
|
| 107 |
|
|
|
| 108 |
|
|
|
| 109 |
|
|
|
| 110 |
|
|
|
| 111 |
francois |
309 |
FEM_TRIANGLE6::FEM_TRIANGLE6(FEM_TRIANGLE6& mdd):FEM_ELEMENT2(mdd),FEM_TEMPLATE_ELEMENT<6>(mdd) |
| 112 |
francois |
283 |
{ |
| 113 |
|
|
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==2) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 114 |
francois |
309 |
tab[0]->get_lien_element2()->ajouter(this); |
| 115 |
|
|
tab[1]->get_lien_element2()->ajouter(this); |
| 116 |
|
|
tab[2]->get_lien_element2()->ajouter(this); |
| 117 |
|
|
tab[3]->get_lien_element2()->ajouter(this); |
| 118 |
|
|
tab[4]->get_lien_element2()->ajouter(this); |
| 119 |
|
|
tab[5]->get_lien_element2()->ajouter(this); |
| 120 |
|
|
get_fem_noeudpetitid()->get_lien_petit_element2()->ajouter(this); |
| 121 |
francois |
283 |
} |
| 122 |
|
|
FEM_TRIANGLE6::~FEM_TRIANGLE6() |
| 123 |
|
|
{ |
| 124 |
|
|
if (liaison_topologique==NULL) return; |
| 125 |
|
|
if (liaison_topologique->get_dimension()==0) liaison_topologique->get_lien_fem_maillage()->supprimer(this); |
| 126 |
francois |
309 |
tab[0]->get_lien_element2()->supprimer(this); |
| 127 |
|
|
tab[1]->get_lien_element2()->supprimer(this); |
| 128 |
|
|
tab[2]->get_lien_element2()->supprimer(this); |
| 129 |
|
|
tab[3]->get_lien_element2()->supprimer(this); |
| 130 |
|
|
tab[4]->get_lien_element2()->supprimer(this); |
| 131 |
|
|
tab[5]->get_lien_element2()->supprimer(this); |
| 132 |
|
|
get_fem_noeudpetitid()->get_lien_petit_element2()->supprimer(this); |
| 133 |
francois |
283 |
} |
| 134 |
|
|
|
| 135 |
|
|
FEM_ELEMENT_MAILLAGE* FEM_TRIANGLE6::dupliquer(FEM_MAILLAGE *femmai,long decalage) |
| 136 |
|
|
{ |
| 137 |
|
|
FEM_NOEUD* tabnoeud[6]; |
| 138 |
|
|
tabnoeud[0]=femmai->get_fem_noeudid(tab[0]->get_id()+decalage); |
| 139 |
|
|
tabnoeud[1]=femmai->get_fem_noeudid(tab[1]->get_id()+decalage); |
| 140 |
|
|
tabnoeud[2]=femmai->get_fem_noeudid(tab[2]->get_id()+decalage); |
| 141 |
|
|
tabnoeud[3]=femmai->get_fem_noeudid(tab[3]->get_id()+decalage); |
| 142 |
|
|
tabnoeud[4]=femmai->get_fem_noeudid(tab[4]->get_id()+decalage); |
| 143 |
|
|
tabnoeud[5]=femmai->get_fem_noeudid(tab[5]->get_id()+decalage); |
| 144 |
|
|
FEM_TRIANGLE6* tri=new FEM_TRIANGLE6(get_id()+decalage,maillage,tabnoeud); |
| 145 |
francois |
309 |
femmai->ajouter_fem_element2(tri); |
| 146 |
francois |
283 |
return tri; |
| 147 |
|
|
} |
| 148 |
|
|
|
| 149 |
francois |
635 |
bool FEM_TRIANGLE6::valide_parametre_EF(double* uvw) |
| 150 |
|
|
{ |
| 151 |
|
|
if (uvw[0]>=-1e-10) |
| 152 |
|
|
if (uvw[1]>=-1e-10) |
| 153 |
|
|
if (uvw[0]+uvw[1]<=1.+1e-10) |
| 154 |
|
|
return true; |
| 155 |
|
|
return false; |
| 156 |
|
|
} |
| 157 |
francois |
283 |
|
| 158 |
|
|
|
| 159 |
|
|
int FEM_TRIANGLE6::get_type_entite(void) |
| 160 |
|
|
{ |
| 161 |
|
|
return IDFEM_TRIANGLE6; |
| 162 |
|
|
} |
| 163 |
|
|
|
| 164 |
|
|
int FEM_TRIANGLE6::get_dimension(void) |
| 165 |
|
|
{ |
| 166 |
|
|
return 2; |
| 167 |
|
|
} |
| 168 |
|
|
|
| 169 |
|
|
|
| 170 |
|
|
int FEM_TRIANGLE6::get_nb_fem_noeud(void) |
| 171 |
|
|
{ |
| 172 |
|
|
return FEM_TEMPLATE_ELEMENT<6>::get_nb_fem_noeud(); |
| 173 |
|
|
} |
| 174 |
|
|
|
| 175 |
|
|
FEM_NOEUD* FEM_TRIANGLE6::get_fem_noeud(int num) |
| 176 |
|
|
{ |
| 177 |
|
|
return FEM_TEMPLATE_ELEMENT<6>::get_fem_noeud(num); |
| 178 |
|
|
} |
| 179 |
|
|
|
| 180 |
|
|
void FEM_TRIANGLE6::change_noeud(int num,FEM_NOEUD* noeud) |
| 181 |
|
|
{ |
| 182 |
|
|
FEM_TEMPLATE_ELEMENT<6>::change_noeud(num,noeud); |
| 183 |
|
|
} |
| 184 |
|
|
|
| 185 |
|
|
BOITE_3D& FEM_TRIANGLE6::get_boite_3D(void) |
| 186 |
|
|
{ |
| 187 |
|
|
return FEM_TEMPLATE_ELEMENT<6>::get_boite_3D(); |
| 188 |
|
|
} |
| 189 |
|
|
|
| 190 |
|
|
|
| 191 |
|
|
void FEM_TRIANGLE6::enregistrer(std::ostream& o) |
| 192 |
|
|
{ |
| 193 |
francois |
378 |
if (maillage!=NULL) |
| 194 |
|
|
if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_TRIANGLE6($"<< get_lien_topologie()->get_id() << ",$" << 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() << ");" << std::endl; |
| 195 |
|
|
else o << "%" << get_id() << "=FEM_TRIANGLE6(NULL,$" << maillage->get_id() << ",$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id() << ",$" << tab[3]->get_id() << ",$" << tab[4]->get_id() << ",$" << tab[5]->get_id() << ");" << std::endl; |
| 196 |
|
|
else |
| 197 |
|
|
if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_TRIANGLE6($"<< 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() << ");" << std::endl; |
| 198 |
|
|
else o << "%" << get_id() << "=FEM_TRIANGLE6(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() << ");" << std::endl; |
| 199 |
|
|
|
| 200 |
francois |
283 |
} |
| 201 |
francois |
310 |
|
| 202 |
francois |
637 |
int FEM_TRIANGLE6::get_nb_pt_gauss(int degre) |
| 203 |
|
|
{ |
| 204 |
|
|
if (degre<2) return 1; |
| 205 |
|
|
if (degre<3) return 3; |
| 206 |
|
|
if (degre<4) return 4; |
| 207 |
|
|
if (degre<5) return 6; |
| 208 |
|
|
if (degre<6) return 7; |
| 209 |
|
|
return 0; |
| 210 |
|
|
} |
| 211 |
francois |
310 |
|
| 212 |
francois |
637 |
void FEM_TRIANGLE6::get_pt_gauss(int degre,int num,double &w,double *uv) |
| 213 |
|
|
{ |
| 214 |
|
|
if (degre<2) |
| 215 |
|
|
{ |
| 216 |
|
|
if (num==0) {w=0.5;uv[0]=0.333333333333333;uv[1]=0.333333333333333;} |
| 217 |
|
|
return; |
| 218 |
|
|
} |
| 219 |
|
|
if (degre<3) |
| 220 |
|
|
{ |
| 221 |
|
|
if (num==0) {w=0.166666666666667;uv[0]=0.166666666666667;uv[1]=0.166666666666667;} |
| 222 |
|
|
if (num==1) {w=0.166666666666667;uv[0]=0.666666666666667;uv[1]=0.166666666666667;} |
| 223 |
|
|
if (num==2) {w=0.166666666666667;uv[0]=0.166666666666667;uv[1]=0.666666666666667;} |
| 224 |
|
|
return; |
| 225 |
|
|
} |
| 226 |
|
|
if (degre<4) |
| 227 |
|
|
{ |
| 228 |
|
|
if (num==0) {w=-0.28125;uv[0]=0.333333333333333;uv[1]=0.333333333333333;} |
| 229 |
|
|
if (num==1) {w=0.260416666666667;uv[0]=0.2;uv[1]=0.2;} |
| 230 |
|
|
if (num==2) {w=0.260416666666667;uv[0]=0.6;uv[1]=0.2;} |
| 231 |
|
|
if (num==3) {w=0.260416666666667;uv[0]=0.2;uv[1]=0.6;} |
| 232 |
|
|
return; |
| 233 |
|
|
} |
| 234 |
|
|
if (degre<5) |
| 235 |
|
|
{ |
| 236 |
|
|
if (num==0) {w=0.111690794839005;uv[0]=0.445948490915965;uv[1]=0.445948490915965;} |
| 237 |
|
|
if (num==1) {w=0.111690794839005;uv[0]=0.108103018168070;uv[1]=0.445948490915965;} |
| 238 |
|
|
if (num==2) {w=0.111690794839005;uv[0]=0.445948490915965;uv[1]=0.108103018168070;} |
| 239 |
|
|
if (num==3) {w=0.054975871827661;uv[0]=0.091576213509771;uv[1]=0.091576213509771;} |
| 240 |
|
|
if (num==4) {w=0.054975871827661;uv[0]=0.816847572980458;uv[1]=0.091576213509771;} |
| 241 |
|
|
if (num==5) {w=0.054975871827661;uv[0]=0.091576213509771;uv[1]=0.816847572980458;} |
| 242 |
|
|
return; |
| 243 |
|
|
} |
| 244 |
|
|
if (degre<6) |
| 245 |
|
|
{ |
| 246 |
|
|
if (num==0) {w=0.1125;uv[0]=0.333333333333333;uv[1]=0.333333333333333;} |
| 247 |
|
|
if (num==1) {w=0.066197076394253;uv[0]=0.470142064105115;uv[1]=0.470142064105115;} |
| 248 |
|
|
if (num==2) {w=0.066197076394253;uv[0]=0.059715871789770;uv[1]=0.470142064105115;} |
| 249 |
|
|
if (num==3) {w=0.066197076394253;uv[0]=0.470142064105115;uv[1]=0.059715871789770;} |
| 250 |
|
|
if (num==4) {w=0.062969590272413;uv[0]=0.101286507323456;uv[1]=0.101286507323456;} |
| 251 |
|
|
if (num==5) {w=0.062969590272413;uv[0]=0.797426985353088;uv[1]=0.101286507323456;} |
| 252 |
|
|
if (num==6) {w=0.062969590272413;uv[0]=0.101286507323456;uv[1]=0.797426985353088;} |
| 253 |
|
|
return; |
| 254 |
|
|
} |
| 255 |
|
|
} |
| 256 |
|
|
|
| 257 |
francois |
310 |
int FEM_TRIANGLE6::nb_fonction_interpolation(void) |
| 258 |
|
|
{ |
| 259 |
|
|
return 6; |
| 260 |
|
|
} |
| 261 |
|
|
|
| 262 |
|
|
double FEM_TRIANGLE6::get_fonction_interpolation(int num,double *uv) |
| 263 |
|
|
{ |
| 264 |
|
|
double val; |
| 265 |
|
|
switch (num) |
| 266 |
|
|
{ |
| 267 |
|
|
case 1: |
| 268 |
|
|
val=(-1+uv[0]+uv[1])*(-1+2*uv[0]+2*uv[1]); |
| 269 |
|
|
break; |
| 270 |
|
|
case 2: |
| 271 |
|
|
val=4.*uv[0]*(1-uv[0]-uv[1]); |
| 272 |
|
|
break; |
| 273 |
|
|
case 3: |
| 274 |
|
|
val=-uv[0]*(1.-2.*uv[0]); |
| 275 |
|
|
break; |
| 276 |
|
|
case 4: |
| 277 |
|
|
val=4.*uv[0]*uv[1]; |
| 278 |
|
|
break; |
| 279 |
|
|
case 5: |
| 280 |
|
|
val=-uv[1]*(1-2*uv[1]); |
| 281 |
|
|
break; |
| 282 |
|
|
case 6: |
| 283 |
|
|
val=4.*uv[1]*(1-uv[0]-uv[1]); |
| 284 |
|
|
break; |
| 285 |
|
|
|
| 286 |
|
|
} |
| 287 |
|
|
return val; |
| 288 |
|
|
} |
| 289 |
|
|
|
| 290 |
|
|
double FEM_TRIANGLE6::get_fonction_derive_interpolation(int num,int num_variable,double *uv) |
| 291 |
|
|
{ |
| 292 |
|
|
double val; |
| 293 |
|
|
|
| 294 |
|
|
switch (num) |
| 295 |
|
|
{ |
| 296 |
|
|
case 1: |
| 297 |
|
|
switch (num_variable) |
| 298 |
|
|
{ |
| 299 |
|
|
case 1: |
| 300 |
francois |
612 |
val=-3.+4*uv[0]+4*uv[1]; |
| 301 |
francois |
310 |
break; |
| 302 |
|
|
case 2: |
| 303 |
|
|
val=-3.+4*uv[0]+4*uv[1]; |
| 304 |
|
|
break; |
| 305 |
|
|
} break; |
| 306 |
|
|
case 2: |
| 307 |
|
|
switch (num_variable) |
| 308 |
|
|
{ |
| 309 |
|
|
case 1: |
| 310 |
|
|
val=4.-8*uv[0]-4*uv[1]; |
| 311 |
|
|
break; |
| 312 |
|
|
case 2: |
| 313 |
|
|
val=-4.*uv[0]; |
| 314 |
|
|
break; |
| 315 |
|
|
}break; |
| 316 |
|
|
case 3: |
| 317 |
|
|
switch (num_variable) |
| 318 |
|
|
{ |
| 319 |
|
|
case 1: |
| 320 |
francois |
612 |
val=-1.+4*uv[0]; |
| 321 |
francois |
310 |
break; |
| 322 |
|
|
case 2: |
| 323 |
|
|
val=0.; |
| 324 |
|
|
break; |
| 325 |
|
|
}break; |
| 326 |
|
|
case 4: |
| 327 |
|
|
switch (num_variable) |
| 328 |
|
|
{ |
| 329 |
|
|
case 1: |
| 330 |
|
|
val=4*uv[1]; |
| 331 |
|
|
break; |
| 332 |
|
|
case 2: |
| 333 |
|
|
val=4*uv[0]; |
| 334 |
|
|
break; |
| 335 |
|
|
}break; |
| 336 |
|
|
case 5: |
| 337 |
|
|
switch (num_variable) |
| 338 |
|
|
{ |
| 339 |
|
|
case 1: |
| 340 |
|
|
val=0.; |
| 341 |
|
|
break; |
| 342 |
|
|
case 2: |
| 343 |
|
|
val=-1+4.*uv[1]; |
| 344 |
|
|
break; |
| 345 |
|
|
}break; |
| 346 |
|
|
case 6: |
| 347 |
|
|
switch (num_variable) |
| 348 |
|
|
{ |
| 349 |
|
|
case 1: |
| 350 |
|
|
val=-4*uv[1]; |
| 351 |
|
|
break; |
| 352 |
|
|
case 2: |
| 353 |
|
|
val=4-4*uv[0]-8*uv[1]; |
| 354 |
|
|
break; |
| 355 |
|
|
}break; |
| 356 |
|
|
|
| 357 |
|
|
} |
| 358 |
|
|
return val; |
| 359 |
|
|
} |
| 360 |
|
|
|
| 361 |
francois |
612 |
|
| 362 |
francois |
310 |
double FEM_TRIANGLE6::get_jacobien(double* jac,double *uv,int& li,int& col,double unite) |
| 363 |
|
|
{ |
| 364 |
francois |
612 |
FEM_NOEUD* n1=get_fem_noeud(0); |
| 365 |
|
|
FEM_NOEUD* n2=get_fem_noeud(1); |
| 366 |
|
|
FEM_NOEUD* n3=get_fem_noeud(2); |
| 367 |
|
|
FEM_NOEUD* n4=get_fem_noeud(3); |
| 368 |
|
|
FEM_NOEUD* n5=get_fem_noeud(4); |
| 369 |
|
|
FEM_NOEUD* n6=get_fem_noeud(5); |
| 370 |
|
|
|
| 371 |
|
|
double xyzn1[3],xyzn2[3],xyzn3[3],xyzn4[3],xyzn5[3],xyzn6[3]; |
| 372 |
|
|
|
| 373 |
|
|
xyzn1[0]=n1->get_x(); |
| 374 |
|
|
xyzn1[1]=n1->get_y(); |
| 375 |
|
|
xyzn1[2]=n1->get_z(); |
| 376 |
|
|
|
| 377 |
|
|
xyzn2[0]=n2->get_x(); |
| 378 |
|
|
xyzn2[1]=n2->get_y(); |
| 379 |
|
|
xyzn2[2]=n2->get_z(); |
| 380 |
|
|
|
| 381 |
|
|
xyzn3[0]=n3->get_x(); |
| 382 |
|
|
xyzn3[1]=n3->get_y(); |
| 383 |
|
|
xyzn3[2]=n3->get_z(); |
| 384 |
|
|
|
| 385 |
|
|
xyzn4[0]=n4->get_x(); |
| 386 |
|
|
xyzn4[1]=n4->get_y(); |
| 387 |
|
|
xyzn4[2]=n4->get_z(); |
| 388 |
|
|
|
| 389 |
|
|
xyzn5[0]=n5->get_x(); |
| 390 |
|
|
xyzn5[1]=n5->get_y(); |
| 391 |
|
|
xyzn5[2]=n5->get_z(); |
| 392 |
|
|
|
| 393 |
|
|
xyzn6[0]=n6->get_x(); |
| 394 |
|
|
xyzn6[1]=n6->get_y(); |
| 395 |
|
|
xyzn6[2]=n6->get_z(); |
| 396 |
|
|
|
| 397 |
|
|
OT_VECTEUR_3D vec1(xyzn1,xyzn3); |
| 398 |
|
|
OT_VECTEUR_3D vec3(xyzn1,xyzn5); |
| 399 |
|
|
OT_VECTEUR_3D n=vec1&vec3; |
| 400 |
|
|
n.norme(); |
| 401 |
francois |
310 |
|
| 402 |
francois |
612 |
jac[0]=get_fonction_derive_interpolation(1,1,uv)*xyzn1[0]+get_fonction_derive_interpolation(2,1,uv)*xyzn2[0]+get_fonction_derive_interpolation(3,1,uv)*xyzn3[0]+get_fonction_derive_interpolation(4,1,uv)*xyzn4[0]+get_fonction_derive_interpolation(6,1,uv)*xyzn6[0]; |
| 403 |
|
|
jac[1]=get_fonction_derive_interpolation(1,1,uv)*xyzn1[1]+get_fonction_derive_interpolation(2,1,uv)*xyzn2[1]+get_fonction_derive_interpolation(3,1,uv)*xyzn3[1]+get_fonction_derive_interpolation(4,1,uv)*xyzn4[1]+get_fonction_derive_interpolation(6,1,uv)*xyzn6[1]; |
| 404 |
|
|
jac[2]=get_fonction_derive_interpolation(1,1,uv)*xyzn1[2]+get_fonction_derive_interpolation(2,1,uv)*xyzn2[2]+get_fonction_derive_interpolation(3,1,uv)*xyzn3[2]+get_fonction_derive_interpolation(4,1,uv)*xyzn4[2]+get_fonction_derive_interpolation(6,1,uv)*xyzn6[2]; |
| 405 |
|
|
|
| 406 |
|
|
jac[3]=get_fonction_derive_interpolation(1,2,uv)*xyzn1[0]+get_fonction_derive_interpolation(2,2,uv)*xyzn2[0]+get_fonction_derive_interpolation(4,2,uv)*xyzn4[0]+get_fonction_derive_interpolation(5,2,uv)*xyzn5[0]+get_fonction_derive_interpolation(6,2,uv)*xyzn6[0]; |
| 407 |
|
|
jac[4]=get_fonction_derive_interpolation(1,2,uv)*xyzn1[1]+get_fonction_derive_interpolation(2,2,uv)*xyzn2[1]+get_fonction_derive_interpolation(4,2,uv)*xyzn4[1]+get_fonction_derive_interpolation(5,2,uv)*xyzn5[1]+get_fonction_derive_interpolation(6,2,uv)*xyzn6[1]; |
| 408 |
|
|
jac[5]=get_fonction_derive_interpolation(1,2,uv)*xyzn1[2]+get_fonction_derive_interpolation(2,2,uv)*xyzn2[2]+get_fonction_derive_interpolation(4,2,uv)*xyzn4[2]+get_fonction_derive_interpolation(5,2,uv)*xyzn5[2]+get_fonction_derive_interpolation(6,2,uv)*xyzn6[2]; |
| 409 |
|
|
|
| 410 |
|
|
jac[6]=n[0]; |
| 411 |
|
|
jac[7]=n[1]; |
| 412 |
|
|
jac[8]=n[2]; |
| 413 |
|
|
|
| 414 |
|
|
double DET= 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]); |
| 415 |
|
|
|
| 416 |
|
|
return DET; |
| 417 |
|
|
|
| 418 |
francois |
310 |
} |
| 419 |
|
|
|
| 420 |
|
|
void FEM_TRIANGLE6::get_inverse_jacob(double* j,double *uv,double unite) |
| 421 |
|
|
{ |
| 422 |
francois |
612 |
double jac[9]; |
| 423 |
|
|
int lig,col; |
| 424 |
|
|
double detj=this->get_jacobien(jac,uv,lig,col,unite); |
| 425 |
|
|
|
| 426 |
|
|
j[0] = (jac[4]*jac[8]-jac[5]*jac[7])/(detj); |
| 427 |
|
|
j[1] = -(jac[1]*jac[8]-jac[2]*jac[7])/(detj); |
| 428 |
|
|
j[2] =-(-jac[1]*jac[5]+jac[2]*jac[4])/(detj); |
| 429 |
|
|
|
| 430 |
|
|
j[3] = -(jac[1]*jac[8]-jac[5]*jac[6])/(detj); |
| 431 |
|
|
j[4] = (jac[0]*jac[8]-jac[2]*jac[6])/(detj); |
| 432 |
|
|
j[5] = -(jac[0]*jac[5]-jac[2]*jac[3])/(detj); |
| 433 |
|
|
|
| 434 |
|
|
j[6] =-(-jac[3]*jac[7]+jac[4]*jac[6])/(detj); |
| 435 |
|
|
j[7] = -(jac[0]*jac[7]-jac[1]*jac[6])/(detj); |
| 436 |
|
|
j[8] = (jac[0]*jac[4]-jac[1]*jac[4])/(detj); |
| 437 |
|
|
|
| 438 |
|
|
} |
| 439 |
|
|
|
