| 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_segment3.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_segment3.h" |
| 27 |
#include "fem_noeud.h" |
| 28 |
#include "fem_maillage.h" |
| 29 |
#include "mg_element_maillage.h" |
| 30 |
|
| 31 |
|
| 32 |
FEM_SEGMENT3::FEM_SEGMENT3(unsigned long num,class MG_ELEMENT_MAILLAGE* mai,class FEM_NOEUD** tabnoeud):FEM_ELEMENT1(num,mai),FEM_TEMPLATE_ELEMENT<3>(tabnoeud) |
| 33 |
{ |
| 34 |
tab[0]->get_lien_element1()->ajouter(this); |
| 35 |
tab[1]->get_lien_element1()->ajouter(this); |
| 36 |
tab[2]->get_lien_element1()->ajouter(this); |
| 37 |
get_fem_noeudpetitid()->get_lien_petit_element1()->ajouter(this); |
| 38 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==1) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 39 |
|
| 40 |
} |
| 41 |
FEM_SEGMENT3::FEM_SEGMENT3(unsigned long num,class MG_ELEMENT_TOPOLOGIQUE* topo,FEM_NOEUD** tabnoeud):FEM_ELEMENT1(num,topo),FEM_TEMPLATE_ELEMENT<3>(tabnoeud) |
| 42 |
{ |
| 43 |
tab[0]->get_lien_element1()->ajouter(this); |
| 44 |
tab[1]->get_lien_element1()->ajouter(this); |
| 45 |
tab[2]->get_lien_element1()->ajouter(this); |
| 46 |
get_fem_noeudpetitid()->get_lien_petit_element1()->ajouter(this); |
| 47 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==1) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 48 |
} |
| 49 |
|
| 50 |
FEM_SEGMENT3::FEM_SEGMENT3(unsigned long num,class MG_ELEMENT_TOPOLOGIQUE* topo,class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT1(num,topo,mai),FEM_TEMPLATE_ELEMENT<3>(tabnoeud) |
| 51 |
{ |
| 52 |
tab[0]->get_lien_element1()->ajouter(this); |
| 53 |
tab[1]->get_lien_element1()->ajouter(this); |
| 54 |
tab[2]->get_lien_element1()->ajouter(this); |
| 55 |
get_fem_noeudpetitid()->get_lien_petit_element1()->ajouter(this); |
| 56 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==1) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 57 |
} |
| 58 |
FEM_SEGMENT3::FEM_SEGMENT3(class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT1(mai),FEM_TEMPLATE_ELEMENT<3>(tabnoeud) |
| 59 |
{ |
| 60 |
tab[0]->get_lien_element1()->ajouter(this); |
| 61 |
tab[1]->get_lien_element1()->ajouter(this); |
| 62 |
tab[2]->get_lien_element1()->ajouter(this); |
| 63 |
get_fem_noeudpetitid()->get_lien_petit_element1()->ajouter(this); |
| 64 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==1) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 65 |
|
| 66 |
} |
| 67 |
|
| 68 |
FEM_SEGMENT3::FEM_SEGMENT3(class MG_ELEMENT_TOPOLOGIQUE* topo,FEM_NOEUD** tabnoeud):FEM_ELEMENT1(topo),FEM_TEMPLATE_ELEMENT<3>(tabnoeud) |
| 69 |
{ |
| 70 |
tab[0]->get_lien_element1()->ajouter(this); |
| 71 |
tab[1]->get_lien_element1()->ajouter(this); |
| 72 |
tab[2]->get_lien_element1()->ajouter(this); |
| 73 |
get_fem_noeudpetitid()->get_lien_petit_element1()->ajouter(this); |
| 74 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==1) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 75 |
} |
| 76 |
|
| 77 |
FEM_SEGMENT3::FEM_SEGMENT3(class MG_ELEMENT_TOPOLOGIQUE* topo,class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT1(topo,mai),FEM_TEMPLATE_ELEMENT<3>(tabnoeud) |
| 78 |
{ |
| 79 |
tab[0]->get_lien_element1()->ajouter(this); |
| 80 |
tab[1]->get_lien_element1()->ajouter(this); |
| 81 |
tab[2]->get_lien_element1()->ajouter(this); |
| 82 |
get_fem_noeudpetitid()->get_lien_petit_element1()->ajouter(this); |
| 83 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==1) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 84 |
} |
| 85 |
|
| 86 |
|
| 87 |
|
| 88 |
|
| 89 |
|
| 90 |
|
| 91 |
FEM_SEGMENT3::FEM_SEGMENT3(FEM_SEGMENT3& mdd):FEM_ELEMENT1(mdd),FEM_TEMPLATE_ELEMENT<3>(mdd) |
| 92 |
{ |
| 93 |
tab[0]->get_lien_element1()->ajouter(this); |
| 94 |
tab[1]->get_lien_element1()->ajouter(this); |
| 95 |
tab[2]->get_lien_element1()->ajouter(this); |
| 96 |
get_fem_noeudpetitid()->get_lien_petit_element1()->ajouter(this); |
| 97 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==1) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
| 98 |
|
| 99 |
} |
| 100 |
|
| 101 |
FEM_SEGMENT3::~FEM_SEGMENT3() |
| 102 |
{ |
| 103 |
if (liaison_topologique==NULL) return; |
| 104 |
if (liaison_topologique->get_dimension()==0) liaison_topologique->get_lien_fem_maillage()->supprimer(this); |
| 105 |
tab[0]->get_lien_element1()->supprimer(this); |
| 106 |
tab[1]->get_lien_element1()->supprimer(this); |
| 107 |
get_fem_noeudpetitid()->get_lien_petit_element1()->supprimer(this); |
| 108 |
} |
| 109 |
|
| 110 |
FEM_ELEMENT_MAILLAGE* FEM_SEGMENT3::dupliquer(FEM_MAILLAGE *femmai,long decalage) |
| 111 |
{ |
| 112 |
FEM_NOEUD* tabnoeud[3]; |
| 113 |
tabnoeud[0]=femmai->get_fem_noeudid(tab[0]->get_id()+decalage); |
| 114 |
tabnoeud[1]=femmai->get_fem_noeudid(tab[1]->get_id()+decalage); |
| 115 |
tabnoeud[2]=femmai->get_fem_noeudid(tab[2]->get_id()+decalage); |
| 116 |
FEM_SEGMENT3* seg=new FEM_SEGMENT3(get_id()+decalage,maillage,tabnoeud); |
| 117 |
femmai->ajouter_fem_element1(seg); |
| 118 |
return seg; |
| 119 |
} |
| 120 |
|
| 121 |
bool FEM_SEGMENT3::valide_parametre_EF(double* uvw) |
| 122 |
{ |
| 123 |
if (uvw[0]>=-1e-10) |
| 124 |
if (uvw[0]<=1.+1e-10) |
| 125 |
return true; |
| 126 |
return false; |
| 127 |
} |
| 128 |
|
| 129 |
|
| 130 |
|
| 131 |
int FEM_SEGMENT3::get_type_entite(void) |
| 132 |
{ |
| 133 |
return IDFEM_SEGMENT3; |
| 134 |
} |
| 135 |
|
| 136 |
int FEM_SEGMENT3::get_dimension(void) |
| 137 |
{ |
| 138 |
return 1; |
| 139 |
} |
| 140 |
|
| 141 |
|
| 142 |
int FEM_SEGMENT3::get_nb_fem_noeud(void) |
| 143 |
{ |
| 144 |
return FEM_TEMPLATE_ELEMENT<3>::get_nb_fem_noeud(); |
| 145 |
} |
| 146 |
|
| 147 |
FEM_NOEUD* FEM_SEGMENT3::get_fem_noeud(int num) |
| 148 |
{ |
| 149 |
return FEM_TEMPLATE_ELEMENT<3>::get_fem_noeud(num); |
| 150 |
} |
| 151 |
|
| 152 |
void FEM_SEGMENT3::change_noeud(int num,FEM_NOEUD* noeud) |
| 153 |
{ |
| 154 |
FEM_TEMPLATE_ELEMENT<3>::change_noeud(num,noeud); |
| 155 |
} |
| 156 |
|
| 157 |
BOITE_3D& FEM_SEGMENT3::get_boite_3D(void) |
| 158 |
{ |
| 159 |
return FEM_TEMPLATE_ELEMENT<3>::get_boite_3D(); |
| 160 |
} |
| 161 |
|
| 162 |
|
| 163 |
|
| 164 |
void FEM_SEGMENT3::enregistrer(std::ostream& o) |
| 165 |
{ |
| 166 |
if (maillage!=NULL) |
| 167 |
if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_SEGMENT3($"<< get_lien_topologie()->get_id() << ",$" << maillage->get_id() << ",$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id()<< ");" << std::endl; |
| 168 |
else o << "%" << get_id() << "=FEM_SEGMENT3(NULL,$" << maillage->get_id() <<",$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id()<< ");" << std::endl; |
| 169 |
else |
| 170 |
if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_SEGMENT3($"<< get_lien_topologie()->get_id() << ",NULL,$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id()<< ");" << std::endl; |
| 171 |
else o << "%" << get_id() << "=FEM_SEGMENT3(NULL,NULL,$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id()<< ");" << std::endl; |
| 172 |
|
| 173 |
} |
| 174 |
|
| 175 |
|
| 176 |
|
| 177 |
int FEM_SEGMENT3::get_nb_pt_gauss(int degre) |
| 178 |
{ |
| 179 |
if (degre<2) return 1; |
| 180 |
if (degre<4) return 2; |
| 181 |
if (degre<6) return 3; |
| 182 |
if (degre<8) return 4; |
| 183 |
if (degre<10) return 5; |
| 184 |
if (degre<12) return 6; |
| 185 |
if (degre<14) return 7; |
| 186 |
return 0; |
| 187 |
} |
| 188 |
|
| 189 |
void FEM_SEGMENT3::get_pt_gauss(int degre,int num,double &w,double *u) |
| 190 |
{ |
| 191 |
if (degre<2) |
| 192 |
{ |
| 193 |
if (num==0) {w=2;u[0]=0;} |
| 194 |
return; |
| 195 |
} |
| 196 |
if (degre<4) |
| 197 |
{ |
| 198 |
if (num==0) {w=1;u[0]=-0.577350269189626;} |
| 199 |
if (num==1) {w=1;u[0]=0.577350269189626;} |
| 200 |
return; |
| 201 |
} |
| 202 |
if (degre<6) |
| 203 |
{ |
| 204 |
if (num==0) {w=0.888888888888889;u[0]=0.;} |
| 205 |
if (num==1) {w=0.555555555555556;u[0]=-0.774596669241483;} |
| 206 |
if (num==2) {w=0.555555555555556;u[0]=0.774596669241483;} |
| 207 |
return; |
| 208 |
} |
| 209 |
if (degre<8) |
| 210 |
{ |
| 211 |
if (num==0) {w=0.652145154862546;u[0]=-0.339981043584856;} |
| 212 |
if (num==1) {w=0.652145154862546;u[0]=0.339981043584856;} |
| 213 |
if (num==2) {w=0.347854845137454;u[0]=-0.861136311594053;} |
| 214 |
if (num==3) {w=0.347854845137454;u[0]=0.861136311594053;} |
| 215 |
return; |
| 216 |
} |
| 217 |
if (degre<10) |
| 218 |
{ |
| 219 |
if (num==0) {w=0.568888888888889;u[0]=0.;} |
| 220 |
if (num==1) {w=0.478628670499366;u[0]=-0.538469310105683;} |
| 221 |
if (num==2) {w=0.478628670499366;u[0]=0.538469310105683;} |
| 222 |
if (num==3) {w=0.236926885056189;u[0]=-0.906179845938664;} |
| 223 |
if (num==4) {w=0.236926885056189;u[0]=0.906179845938664;} |
| 224 |
return; |
| 225 |
} |
| 226 |
if (degre<12) |
| 227 |
{ |
| 228 |
if (num==0) {w=0.467913934572691;u[0]=-0.238619186083197;} |
| 229 |
if (num==1) {w=0.467913934572691;u[0]=0.238619186083197;} |
| 230 |
if (num==2) {w=0.360761573048139;u[0]=-0.661209386466265;} |
| 231 |
if (num==3) {w=0.360761573048139;u[0]=0.661209386466265;} |
| 232 |
if (num==4) {w=0.171324492379170;u[0]=-0.932469514203152;} |
| 233 |
if (num==5) {w=0.171324492379170;u[0]=0.932469514203152;} |
| 234 |
return; |
| 235 |
} |
| 236 |
if (degre<14) |
| 237 |
{ |
| 238 |
if (num==0) {w=0.417959183673469;u[0]=0;} |
| 239 |
if (num==1) {w=0.381830050505119;u[0]=-0.405845151377397;} |
| 240 |
if (num==2) {w=0.381830050505119;u[0]=0.405845151377397;} |
| 241 |
if (num==3) {w=0.279705391489277;u[0]=-0.741531185599394;} |
| 242 |
if (num==4) {w=0.279705391489277;u[0]=0.741531185599394;} |
| 243 |
if (num==5) {w=0.129484966168870;u[0]=-0.949107912342759;} |
| 244 |
if (num==6) {w=0.129484966168870;u[0]=0.949107912342759;} |
| 245 |
return; |
| 246 |
} |
| 247 |
} |
| 248 |
|
| 249 |
int FEM_SEGMENT3::nb_fonction_interpolation(void) |
| 250 |
{ |
| 251 |
return 3; |
| 252 |
} |
| 253 |
|
| 254 |
|
| 255 |
double FEM_SEGMENT3::get_fonction_interpolation(int num,double *uv) |
| 256 |
{ |
| 257 |
double val; |
| 258 |
switch (num) |
| 259 |
{ |
| 260 |
case 1: |
| 261 |
val=-0.5*uv[0]*(1.-uv[0]); |
| 262 |
break; |
| 263 |
case 2: |
| 264 |
val=1.-uv[0]*uv[0]; |
| 265 |
break; |
| 266 |
case 3: |
| 267 |
val=0.5*uv[0]*(1.+uv[0]); |
| 268 |
break; |
| 269 |
} |
| 270 |
return val; |
| 271 |
} |
| 272 |
|
| 273 |
double FEM_SEGMENT3::get_fonction_derive_interpolation(int num,int num_variable,double *uv) |
| 274 |
{ |
| 275 |
double val; |
| 276 |
|
| 277 |
switch (num) |
| 278 |
{ |
| 279 |
case 1: |
| 280 |
switch (num_variable) |
| 281 |
{ |
| 282 |
case 1: |
| 283 |
val=-0.5+uv[0]; |
| 284 |
break; |
| 285 |
case 2: |
| 286 |
val=-2.*uv[0]; |
| 287 |
break; |
| 288 |
case 3: |
| 289 |
val=0.5+uv[0]; |
| 290 |
break; |
| 291 |
} |
| 292 |
break; |
| 293 |
|
| 294 |
} |
| 295 |
return val; |
| 296 |
} |
| 297 |
|
| 298 |
double FEM_SEGMENT3::get_jacobien(double* jac,double *uv,int& li,int& col,double unite) |
| 299 |
{ |
| 300 |
|
| 301 |
} |
| 302 |
|
| 303 |
void FEM_SEGMENT3::get_inverse_jacob(double* j,double *uv,double unite) |
| 304 |
{ |
| 305 |
|
| 306 |
} |
