1 |
francois |
310 |
//------------------------------------------------------------ |
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 |
21 |
|
|
//------------------------------------------------------------ |
22 |
|
|
//------------------------------------------------------------ |
23 |
|
|
|
24 |
|
|
|
25 |
|
|
#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 |
francois |
754 |
#include "ot_quadrature_gauss.h" |
32 |
francois |
310 |
|
33 |
|
|
|
34 |
|
|
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) |
35 |
|
|
{ |
36 |
francois |
581 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
37 |
francois |
310 |
tab[0]->get_lien_element3()->ajouter(this); |
38 |
|
|
tab[1]->get_lien_element3()->ajouter(this); |
39 |
|
|
tab[2]->get_lien_element3()->ajouter(this); |
40 |
|
|
tab[3]->get_lien_element3()->ajouter(this); |
41 |
|
|
tab[4]->get_lien_element3()->ajouter(this); |
42 |
|
|
tab[5]->get_lien_element3()->ajouter(this); |
43 |
|
|
tab[6]->get_lien_element3()->ajouter(this); |
44 |
|
|
tab[7]->get_lien_element3()->ajouter(this); |
45 |
|
|
get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
46 |
|
|
} |
47 |
|
|
|
48 |
|
|
FEM_HEXA8::FEM_HEXA8(class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(mai),FEM_TEMPLATE_ELEMENT<8>(tabnoeud) |
49 |
|
|
{ |
50 |
francois |
581 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
51 |
francois |
310 |
tab[0]->get_lien_element3()->ajouter(this); |
52 |
|
|
tab[1]->get_lien_element3()->ajouter(this); |
53 |
|
|
tab[2]->get_lien_element3()->ajouter(this); |
54 |
|
|
tab[3]->get_lien_element3()->ajouter(this); |
55 |
|
|
tab[4]->get_lien_element3()->ajouter(this); |
56 |
|
|
tab[5]->get_lien_element3()->ajouter(this); |
57 |
|
|
tab[6]->get_lien_element3()->ajouter(this); |
58 |
|
|
tab[7]->get_lien_element3()->ajouter(this); |
59 |
|
|
get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
60 |
|
|
} |
61 |
|
|
|
62 |
francois |
378 |
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) |
63 |
|
|
{ |
64 |
francois |
581 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
65 |
francois |
378 |
tab[0]->get_lien_element3()->ajouter(this); |
66 |
|
|
tab[1]->get_lien_element3()->ajouter(this); |
67 |
|
|
tab[2]->get_lien_element3()->ajouter(this); |
68 |
|
|
tab[3]->get_lien_element3()->ajouter(this); |
69 |
|
|
tab[4]->get_lien_element3()->ajouter(this); |
70 |
|
|
tab[5]->get_lien_element3()->ajouter(this); |
71 |
|
|
tab[6]->get_lien_element3()->ajouter(this); |
72 |
|
|
tab[7]->get_lien_element3()->ajouter(this); |
73 |
|
|
get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
74 |
|
|
} |
75 |
|
|
|
76 |
|
|
FEM_HEXA8::FEM_HEXA8(class MG_ELEMENT_TOPOLOGIQUE* topo,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(topo),FEM_TEMPLATE_ELEMENT<8>(tabnoeud) |
77 |
|
|
{ |
78 |
francois |
581 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
79 |
francois |
378 |
tab[0]->get_lien_element3()->ajouter(this); |
80 |
|
|
tab[1]->get_lien_element3()->ajouter(this); |
81 |
|
|
tab[2]->get_lien_element3()->ajouter(this); |
82 |
|
|
tab[3]->get_lien_element3()->ajouter(this); |
83 |
|
|
tab[4]->get_lien_element3()->ajouter(this); |
84 |
|
|
tab[5]->get_lien_element3()->ajouter(this); |
85 |
|
|
tab[6]->get_lien_element3()->ajouter(this); |
86 |
|
|
tab[7]->get_lien_element3()->ajouter(this); |
87 |
|
|
get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
88 |
|
|
} |
89 |
|
|
|
90 |
|
|
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) |
91 |
|
|
{ |
92 |
francois |
581 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
93 |
francois |
378 |
tab[0]->get_lien_element3()->ajouter(this); |
94 |
|
|
tab[1]->get_lien_element3()->ajouter(this); |
95 |
|
|
tab[2]->get_lien_element3()->ajouter(this); |
96 |
|
|
tab[3]->get_lien_element3()->ajouter(this); |
97 |
|
|
tab[4]->get_lien_element3()->ajouter(this); |
98 |
|
|
tab[5]->get_lien_element3()->ajouter(this); |
99 |
|
|
tab[6]->get_lien_element3()->ajouter(this); |
100 |
|
|
tab[7]->get_lien_element3()->ajouter(this); |
101 |
|
|
get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
102 |
|
|
} |
103 |
|
|
|
104 |
|
|
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) |
105 |
|
|
{ |
106 |
francois |
581 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
107 |
francois |
378 |
tab[0]->get_lien_element3()->ajouter(this); |
108 |
|
|
tab[1]->get_lien_element3()->ajouter(this); |
109 |
|
|
tab[2]->get_lien_element3()->ajouter(this); |
110 |
|
|
tab[3]->get_lien_element3()->ajouter(this); |
111 |
|
|
tab[4]->get_lien_element3()->ajouter(this); |
112 |
|
|
tab[5]->get_lien_element3()->ajouter(this); |
113 |
|
|
tab[6]->get_lien_element3()->ajouter(this); |
114 |
|
|
tab[7]->get_lien_element3()->ajouter(this); |
115 |
|
|
get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
116 |
|
|
} |
117 |
|
|
|
118 |
|
|
|
119 |
|
|
|
120 |
|
|
|
121 |
francois |
310 |
FEM_HEXA8::FEM_HEXA8(FEM_HEXA8& mdd):FEM_ELEMENT3(mdd),FEM_TEMPLATE_ELEMENT<8>(mdd) |
122 |
|
|
{ |
123 |
francois |
581 |
if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
124 |
francois |
310 |
tab[0]->get_lien_element3()->ajouter(this); |
125 |
|
|
tab[1]->get_lien_element3()->ajouter(this); |
126 |
|
|
tab[2]->get_lien_element3()->ajouter(this); |
127 |
|
|
tab[3]->get_lien_element3()->ajouter(this); |
128 |
|
|
tab[4]->get_lien_element3()->ajouter(this); |
129 |
|
|
tab[5]->get_lien_element3()->ajouter(this); |
130 |
|
|
tab[6]->get_lien_element3()->ajouter(this); |
131 |
|
|
tab[7]->get_lien_element3()->ajouter(this); |
132 |
|
|
get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
133 |
|
|
} |
134 |
|
|
FEM_HEXA8::~FEM_HEXA8() |
135 |
|
|
{ |
136 |
francois |
663 |
if (liaison_topologique!=NULL) |
137 |
|
|
if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->supprimer(this); |
138 |
francois |
310 |
tab[0]->get_lien_element3()->supprimer(this); |
139 |
|
|
tab[1]->get_lien_element3()->supprimer(this); |
140 |
|
|
tab[2]->get_lien_element3()->supprimer(this); |
141 |
|
|
tab[3]->get_lien_element3()->supprimer(this); |
142 |
|
|
tab[4]->get_lien_element3()->supprimer(this); |
143 |
|
|
tab[5]->get_lien_element3()->supprimer(this); |
144 |
|
|
tab[6]->get_lien_element3()->supprimer(this); |
145 |
|
|
tab[7]->get_lien_element3()->supprimer(this); |
146 |
|
|
get_fem_noeudpetitid()->get_lien_petit_element3()->supprimer(this); |
147 |
|
|
} |
148 |
|
|
|
149 |
|
|
|
150 |
|
|
FEM_ELEMENT_MAILLAGE* FEM_HEXA8::dupliquer(FEM_MAILLAGE *femmai,long decalage) |
151 |
|
|
{ |
152 |
|
|
FEM_NOEUD* tabnoeud[8]; |
153 |
|
|
tabnoeud[0]=femmai->get_fem_noeudid(tab[0]->get_id()+decalage); |
154 |
|
|
tabnoeud[1]=femmai->get_fem_noeudid(tab[1]->get_id()+decalage); |
155 |
|
|
tabnoeud[2]=femmai->get_fem_noeudid(tab[2]->get_id()+decalage); |
156 |
|
|
tabnoeud[3]=femmai->get_fem_noeudid(tab[3]->get_id()+decalage); |
157 |
|
|
tabnoeud[4]=femmai->get_fem_noeudid(tab[4]->get_id()+decalage); |
158 |
|
|
tabnoeud[5]=femmai->get_fem_noeudid(tab[5]->get_id()+decalage); |
159 |
|
|
tabnoeud[6]=femmai->get_fem_noeudid(tab[6]->get_id()+decalage); |
160 |
|
|
tabnoeud[7]=femmai->get_fem_noeudid(tab[7]->get_id()+decalage); |
161 |
|
|
FEM_HEXA8* quad=new FEM_HEXA8(get_id()+decalage,maillage,tabnoeud); |
162 |
|
|
femmai->ajouter_fem_element3(quad); |
163 |
|
|
return quad; |
164 |
|
|
} |
165 |
francois |
786 |
void FEM_HEXA8::get_voisin_noeud(class FEM_NOEUD* no,TPL_LISTE_ENTITE<FEM_NOEUD*> &voisin) |
166 |
|
|
{ |
167 |
|
|
voisin.vide(); |
168 |
|
|
if (no==tab[0]) |
169 |
|
|
{ |
170 |
|
|
voisin.ajouter(tab[1]); |
171 |
|
|
voisin.ajouter(tab[3]); |
172 |
|
|
voisin.ajouter(tab[4]); |
173 |
|
|
} |
174 |
|
|
if (no==tab[1]) |
175 |
|
|
{ |
176 |
|
|
voisin.ajouter(tab[0]); |
177 |
|
|
voisin.ajouter(tab[2]); |
178 |
|
|
voisin.ajouter(tab[5]); |
179 |
|
|
} |
180 |
|
|
if (no==tab[2]) |
181 |
|
|
{ |
182 |
|
|
voisin.ajouter(tab[1]); |
183 |
|
|
voisin.ajouter(tab[3]); |
184 |
|
|
voisin.ajouter(tab[6]); |
185 |
|
|
} |
186 |
|
|
if (no==tab[3]) |
187 |
|
|
{ |
188 |
|
|
voisin.ajouter(tab[0]); |
189 |
|
|
voisin.ajouter(tab[2]); |
190 |
|
|
voisin.ajouter(tab[7]); |
191 |
|
|
} |
192 |
|
|
if (no==tab[4]) |
193 |
|
|
{ |
194 |
|
|
voisin.ajouter(tab[0]); |
195 |
|
|
voisin.ajouter(tab[5]); |
196 |
|
|
voisin.ajouter(tab[7]); |
197 |
|
|
} |
198 |
|
|
if (no==tab[5]) |
199 |
|
|
{ |
200 |
|
|
voisin.ajouter(tab[1]); |
201 |
|
|
voisin.ajouter(tab[4]); |
202 |
|
|
voisin.ajouter(tab[6]); |
203 |
|
|
} |
204 |
|
|
if (no==tab[6]) |
205 |
|
|
{ |
206 |
|
|
voisin.ajouter(tab[2]); |
207 |
|
|
voisin.ajouter(tab[5]); |
208 |
|
|
voisin.ajouter(tab[7]); |
209 |
|
|
} |
210 |
|
|
if (no==tab[7]) |
211 |
|
|
{ |
212 |
|
|
voisin.ajouter(tab[3]); |
213 |
|
|
voisin.ajouter(tab[4]); |
214 |
|
|
voisin.ajouter(tab[6]); |
215 |
|
|
} |
216 |
|
|
} |
217 |
francois |
310 |
|
218 |
francois |
635 |
bool FEM_HEXA8::valide_parametre_EF(double* uvw) |
219 |
|
|
{ |
220 |
francois |
674 |
if (uvw[0]>=-1.-1e-10) |
221 |
|
|
if (uvw[1]>=-1.-1e-10) |
222 |
|
|
if (uvw[2]>=-1.-1e-10) |
223 |
francois |
635 |
if (uvw[0]<=1.+1e-10) |
224 |
|
|
if (uvw[1]<=1.+1e-10) |
225 |
|
|
if (uvw[2]<=1.+1e-10) |
226 |
|
|
return true; |
227 |
|
|
return false; |
228 |
|
|
} |
229 |
francois |
310 |
|
230 |
francois |
684 |
void FEM_HEXA8::reinit_boite_3D(void) |
231 |
|
|
{ |
232 |
|
|
FEM_TEMPLATE_ELEMENT<8>::reinit_boite_3D(); |
233 |
|
|
} |
234 |
francois |
310 |
|
235 |
|
|
int FEM_HEXA8::get_type_entite(void) |
236 |
|
|
{ |
237 |
|
|
return IDFEM_HEXA8; |
238 |
|
|
} |
239 |
|
|
|
240 |
|
|
int FEM_HEXA8::get_dimension(void) |
241 |
|
|
{ |
242 |
|
|
return 3; |
243 |
|
|
} |
244 |
|
|
|
245 |
|
|
|
246 |
|
|
|
247 |
|
|
int FEM_HEXA8::get_nb_fem_noeud(void) |
248 |
|
|
{ |
249 |
|
|
return FEM_TEMPLATE_ELEMENT<8>::get_nb_fem_noeud(); |
250 |
|
|
} |
251 |
|
|
|
252 |
|
|
FEM_NOEUD* FEM_HEXA8::get_fem_noeud(int num) |
253 |
|
|
{ |
254 |
|
|
return FEM_TEMPLATE_ELEMENT<8>::get_fem_noeud(num); |
255 |
|
|
} |
256 |
|
|
|
257 |
|
|
void FEM_HEXA8::change_noeud(int num,FEM_NOEUD* noeud) |
258 |
|
|
{ |
259 |
|
|
FEM_TEMPLATE_ELEMENT<8>::change_noeud(num,noeud); |
260 |
|
|
} |
261 |
|
|
|
262 |
|
|
BOITE_3D& FEM_HEXA8::get_boite_3D(void) |
263 |
|
|
{ |
264 |
|
|
return FEM_TEMPLATE_ELEMENT<8>::get_boite_3D(); |
265 |
|
|
} |
266 |
|
|
|
267 |
|
|
|
268 |
francois |
763 |
void FEM_HEXA8::enregistrer(std::ostream& o,double version) |
269 |
francois |
310 |
{ |
270 |
francois |
378 |
if (maillage!=NULL) |
271 |
|
|
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; |
272 |
|
|
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()<< ",$" << tab[7]->get_id()<<");" << std::endl; |
273 |
|
|
else |
274 |
|
|
if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_HEXA8($"<< 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; |
275 |
|
|
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; |
276 |
|
|
|
277 |
francois |
310 |
} |
278 |
francois |
637 |
|
279 |
|
|
|
280 |
|
|
int FEM_HEXA8::get_nb_pt_gauss(int degre) |
281 |
|
|
{ |
282 |
francois |
754 |
return OT_POINTS_GAUSS::get_nb_point_hexa_prod(degre); |
283 |
francois |
637 |
} |
284 |
|
|
|
285 |
|
|
void FEM_HEXA8::get_pt_gauss(int degre,int num,double &w,double *uvw) |
286 |
|
|
{ |
287 |
francois |
754 |
return OT_POINTS_GAUSS::get_pt_gauss_hex_prod(degre,num,w,uvw); |
288 |
francois |
637 |
} |
289 |
francois |
754 |
|
290 |
francois |
757 |
int FEM_HEXA8::get_degre_gauss(int num) |
291 |
|
|
{ |
292 |
|
|
return OT_POINTS_GAUSS::get_degre_gauss_hexa_prod(num); |
293 |
|
|
} |
294 |
|
|
|
295 |
francois |
638 |
int FEM_HEXA8::get_nb_fonction_interpolation(void) |
296 |
francois |
310 |
{ |
297 |
|
|
return 8; |
298 |
|
|
} |
299 |
|
|
|
300 |
francois |
638 |
int FEM_HEXA8::get_degremax_fonction_interpolation(void) |
301 |
|
|
{ |
302 |
|
|
return 3; |
303 |
|
|
} |
304 |
francois |
310 |
double FEM_HEXA8::get_fonction_interpolation(int num,double *uv) |
305 |
|
|
{ |
306 |
|
|
double val; |
307 |
|
|
double a1=1.+uv[0],a2=1.-uv[0]; |
308 |
|
|
double b1=1.+uv[1],b2=1.-uv[1]; |
309 |
|
|
double c1=1.+uv[2],c2=1.-uv[2]; |
310 |
|
|
switch (num) |
311 |
|
|
{ |
312 |
|
|
case 1: |
313 |
|
|
val=0.125*a2*b2*c2; |
314 |
|
|
break; |
315 |
|
|
case 2: |
316 |
|
|
val=0.125*a1*b2*c2; |
317 |
|
|
break; |
318 |
|
|
case 3: |
319 |
|
|
val=0.125*a1*b1*c2; |
320 |
|
|
break; |
321 |
|
|
case 4: |
322 |
|
|
val=0.125*a2*b1*c2; |
323 |
|
|
break; |
324 |
|
|
case 5: |
325 |
|
|
val=0.125*a2*b2*c1; |
326 |
|
|
break; |
327 |
|
|
case 6: |
328 |
|
|
val=0.125*a1*b2*c1; |
329 |
|
|
break; |
330 |
|
|
case 7: |
331 |
|
|
val=0.125*a1*b1*c1; |
332 |
|
|
break; |
333 |
|
|
case 8: |
334 |
|
|
val=0.125*a2*b1*c1; |
335 |
|
|
break; |
336 |
|
|
} |
337 |
|
|
return val; |
338 |
|
|
} |
339 |
|
|
|
340 |
|
|
double FEM_HEXA8::get_fonction_derive_interpolation(int num,int num_variable,double *uv) |
341 |
|
|
{ |
342 |
|
|
double val; |
343 |
|
|
double a1=1.+uv[0],a2=1.-uv[0]; |
344 |
|
|
double b1=1.+uv[1],b2=1.-uv[1]; |
345 |
|
|
double c1=1.+uv[2],c2=1.-uv[2]; |
346 |
|
|
switch (num) |
347 |
|
|
{ |
348 |
|
|
case 1: |
349 |
|
|
switch (num_variable) |
350 |
|
|
{ |
351 |
|
|
case 1: |
352 |
|
|
val=-0.125*b2*c2; |
353 |
|
|
break; |
354 |
|
|
case 2: |
355 |
|
|
val=-0.125*a2*c2; |
356 |
|
|
break; |
357 |
|
|
case 3: |
358 |
|
|
val=-0.125*a2*b2; |
359 |
|
|
break; |
360 |
|
|
} break; |
361 |
|
|
case 2: |
362 |
|
|
switch (num_variable) |
363 |
|
|
{ |
364 |
|
|
case 1: |
365 |
|
|
val=0.125*b2*c2; |
366 |
|
|
break; |
367 |
|
|
case 2: |
368 |
|
|
val=-0.125*a1*c2; |
369 |
|
|
break; |
370 |
|
|
case 3: |
371 |
|
|
val=-0.125*a1*b2; |
372 |
|
|
break; |
373 |
|
|
} break; |
374 |
|
|
case 3: |
375 |
|
|
switch (num_variable) |
376 |
|
|
{ |
377 |
|
|
case 1: |
378 |
|
|
val=0.125*b1*c2; |
379 |
|
|
break; |
380 |
|
|
case 2: |
381 |
|
|
val=0.125*a1*c2; |
382 |
|
|
break; |
383 |
|
|
case 3: |
384 |
|
|
val=-0.125*a1*b1; |
385 |
|
|
break; |
386 |
|
|
} break; |
387 |
|
|
case 4: |
388 |
|
|
switch (num_variable) |
389 |
|
|
{ |
390 |
|
|
case 1: |
391 |
|
|
val=-0.125*b1*c2; |
392 |
|
|
break; |
393 |
|
|
case 2: |
394 |
|
|
val=0.125*a2*c2; |
395 |
|
|
break; |
396 |
|
|
case 3: |
397 |
|
|
val=-0.125*a2*b1; |
398 |
|
|
break; |
399 |
|
|
} break; |
400 |
|
|
case 5: |
401 |
|
|
switch (num_variable) |
402 |
|
|
{ |
403 |
|
|
case 1: |
404 |
|
|
val=-0.125*b2*c1; |
405 |
|
|
break; |
406 |
|
|
case 2: |
407 |
|
|
val=-0.125*a2*c1; |
408 |
|
|
break; |
409 |
|
|
case 3: |
410 |
|
|
val=0.125*a2*b2; |
411 |
|
|
break; |
412 |
|
|
} break; |
413 |
|
|
case 6: |
414 |
|
|
switch (num_variable) |
415 |
|
|
{ |
416 |
|
|
case 1: |
417 |
|
|
val=0.125*b2*c1; |
418 |
|
|
break; |
419 |
|
|
case 2: |
420 |
|
|
val=-0.125*a1*c1; |
421 |
|
|
break; |
422 |
|
|
case 3: |
423 |
|
|
val=0.125*a1*b2; |
424 |
|
|
break; |
425 |
|
|
} break; |
426 |
|
|
case 7: |
427 |
|
|
switch (num_variable) |
428 |
|
|
{ |
429 |
|
|
case 1: |
430 |
|
|
val=0.125*b1*c1; |
431 |
|
|
break; |
432 |
|
|
case 2: |
433 |
|
|
val=0.125*a1*c1; |
434 |
|
|
break; |
435 |
|
|
case 3: |
436 |
|
|
val=0.125*a1*b1; |
437 |
|
|
break; |
438 |
|
|
} break; |
439 |
|
|
case 8: |
440 |
|
|
switch (num_variable) |
441 |
|
|
{ |
442 |
|
|
case 1: |
443 |
|
|
val=-0.125*b1*c1; |
444 |
|
|
break; |
445 |
|
|
case 2: |
446 |
|
|
val=0.125*a2*c1; |
447 |
|
|
break; |
448 |
|
|
case 3: |
449 |
|
|
val=0.125*a2*b1; |
450 |
|
|
break; |
451 |
|
|
} break; |
452 |
|
|
} |
453 |
|
|
return val; |
454 |
|
|
} |
455 |
|
|
|
456 |
|
|
double FEM_HEXA8::get_jacobien(double* jac,double *uv,int& li,int& col,double unite) |
457 |
|
|
{ |
458 |
|
|
li=3;col=3; |
459 |
|
|
OT_TENSEUR Ni(3,8),Xi(8,3); |
460 |
|
|
for (int i=0;i<3;i++) |
461 |
|
|
for (int j=0;j<8;j++) |
462 |
|
|
Ni(i,j)=get_fonction_derive_interpolation(j+1,i+1,uv); |
463 |
|
|
for (int i=0;i<8;i++) |
464 |
|
|
{ |
465 |
|
|
double *xyz=tab[i]->get_coord(); |
466 |
|
|
Xi(i,0)=xyz[0]*unite; |
467 |
|
|
Xi(i,1)=xyz[1]*unite; |
468 |
|
|
Xi(i,2)=xyz[2]*unite; |
469 |
|
|
} |
470 |
|
|
OT_TENSEUR jacobi=Ni*Xi; |
471 |
|
|
jac[0]=jacobi(0,0).get_x(); |
472 |
|
|
jac[1]=jacobi(0,1).get_x(); |
473 |
|
|
jac[2]=jacobi(0,2).get_x(); |
474 |
|
|
jac[3]=jacobi(1,0).get_x(); |
475 |
|
|
jac[4]=jacobi(1,1).get_x(); |
476 |
|
|
jac[5]=jacobi(1,2).get_x(); |
477 |
|
|
jac[6]=jacobi(2,0).get_x(); |
478 |
|
|
jac[7]=jacobi(2,1).get_x(); |
479 |
|
|
jac[8]=jacobi(2,2).get_x(); |
480 |
|
|
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]; |
481 |
|
|
return det; |
482 |
|
|
|
483 |
|
|
} |
484 |
|
|
|
485 |
|
|
void FEM_HEXA8::get_inverse_jacob(double* j,double *uv,double unite) |
486 |
|
|
{ |
487 |
|
|
double jac[9]; |
488 |
|
|
int li,col; |
489 |
|
|
double detj=get_jacobien(jac,uv,li,col,unite); |
490 |
|
|
j[0*3+0] = (jac[1*3+1]*jac[2*3+2]-jac[1*3+2]*jac[2*3+1])/(detj); |
491 |
|
|
j[0*3+1] = -(jac[0*3+1]*jac[2*3+2]-jac[0*3+2]*jac[2*3+1])/(detj); |
492 |
|
|
j[0*3+2] =-(-jac[0*3+1]*jac[1*3+2]+jac[0*3+2]*jac[1*3+1])/(detj); |
493 |
|
|
|
494 |
|
|
j[1*3+0] = -(jac[1*3+0]*jac[2*3+2]-jac[1*3+2]*jac[2*3+0])/(detj); |
495 |
|
|
j[1*3+1] = (jac[0*3+0]*jac[2*3+2]-jac[0*3+2]*jac[2*3+0])/(detj); |
496 |
|
|
j[1*3+2] = -(jac[0*3+0]*jac[1*3+2]-jac[0*3+2]*jac[1*3+0])/(detj); |
497 |
|
|
|
498 |
|
|
j[2*3+0] =-(-jac[1*3+0]*jac[2*3+1]+jac[1*3+1]*jac[2*3+0])/(detj); |
499 |
|
|
j[2*3+1] = -(jac[0*3+0]*jac[2*3+1]-jac[0*3+1]*jac[2*3+0])/(detj); |
500 |
|
|
j[2*3+2] = (jac[0*3+0]*jac[1*3+1]-jac[0*3+1]*jac[1*3+0])/(detj); |
501 |
|
|
|
502 |
francois |
405 |
} |
503 |
|
|
|
504 |
|
|
|
505 |
|
|
|
506 |
francois |
406 |
int FEM_HEXA8::verifie_validite_decoupage_xfem(double *vol) |
507 |
francois |
405 |
{ |
508 |
|
|
|
509 |
francois |
310 |
} |