5. C modeling#
5.1. Characteristics of the mesh#
Mesh: the mesh is composed of a QUAD9 mesh with nine knots (\(\mathit{N1}\), \(\mathit{N2}\), \(\mathit{N3}\), \(\mathit{N4}\), \(\mathit{N5}\), \(\mathit{N6}\), \(\mathit{N7}\),, \(\mathit{N8}\), \(\mathit{N9}\)).
For each mesh, there are 9 integration points.
Node group \(\mathit{ENC}\) is composed of nodes \(\mathit{N1}\) and \(\mathit{N2}\)
Node group \(\mathit{CHA}\) is composed of nodes \(\mathit{N3}\) and \(\mathit{N4}\)
5.2. Characteristics of modeling#
Modeling:
MO= AFFE_MODELE (MAILLAGE =MA,
AFFE =_F (TOUT =” OUI “, PHENOMENE =” MECANIQUE”,
MODELISATION =” COQUE_3D “,),)
Boundary conditions:
BLOCAGE = AFFE_CHAR_MECA (MODELE =MO,
DDL_IMPO =_F (GROUP_NO =” ENC “,
DX=0.0, DY=0.0, DZ=0.0, DRX =0.0, =0.0, DRY =0.0, DRZ =0.0,),
)
Mechanical loading:
CHARGE = AFFE_CHAR_MECA (MODELE =MO,
FORCE_NODALE =_F (GROUP_NO =” CHA “, FX=0, FX=0, FZ=-100. ),
)
Assignment of the characteristics of the elements:
PLAQUE = AFFE_CARA_ELEM (MODELE =MO,
COQUE =_F (GROUP_MA =( “PLA”), EPAIS = 0.5, COQUE_NCOU = 4,),
)
5.3. Tested values and results#
Coordinated mesh QUA1 |
Point integration |
sub-point |
Reference |
|
COOR_X |
1 |
1 |
1 |
0.058776419 |
COOR_X |
1 |
2 |
0.085839713 |
|
COOR_X |
1 |
3 |
3 |
0.112903006 |
COOR_X |
1 |
4 |
4 |
0.112903006 |
COOR_X |
1 |
5 |
5 |
0.139966300 |
COOR_X |
1 |
6 |
6 |
0.167029594 |
COOR_X |
1 |
7 |
7 |
0.167029594 |
COOR_X |
1 |
8 |
8 |
0.194092888 |
COOR_X |
1 |
9 |
9 |
0.221156182 |
COOR_X |
1 |
10 |
0.221156182 |
|
COOR_X |
1 |
11 |
0.248219476 |
|
COOR_X |
1 |
12 |
0.275282770 |
|
COOR_Y |
1 |
1 |
1 |
0.349002918 |
COOR_Y |
1 |
2 |
0.302127918 |
|
COOR_Y |
1 |
3 |
3 |
0.2552529180 |
COOR_Y |
1 |
4 |
4 |
0.2552529180 |
COOR_Y |
1 |
5 |
5 |
0.2083779180 |
COOR_Y |
1 |
6 |
6 |
0.1615029180 |
COOR_Y |
1 |
7 |
7 |
0.1615029180 |
COOR_Y |
1 |
8 |
8 |
0.1146279180 |
COOR_Y |
1 |
9 |
9 |
0.0677529180 |
COOR_Y |
1 |
10 |
0.0677529180 |
|
COOR_Y |
1 |
11 |
0.0208779180 |
|
COOR_Y |
1 |
12 |
-0.025997082 |
|
COOR_Z |
1 |
1 |
1 |
-0.027397495 |
COOR_Z |
1 |
2 |
2 |
3.852505E-03 |
COOR_Z |
1 |
3 |
3 |
0.0351025050 |
COOR_Z |
1 |
4 |
4 |
0.0351025050 |
COOR_Z |
1 |
5 |
5 |
0.0663525050 |
COOR_z |
1 |
6 |
6 |
0.0976025050 |
COOR_Z |
1 |
7 |
7 |
0.0976025050 |
COOR_Z |
1 |
8 |
8 |
0.1288525050 |
COOR_z |
1 |
9 |
9 |
0.1601025050 |
COOR_Z |
1 |
10 |
0.1601025050 |
|
COOR_Z |
1 |
11 |
0.1913525050 |
|
COOR_Z |
1 |
12 |
0.2226025050 |
|
COOR_Z |
9 |
1 |
1 |
0.3080127020 |
COOR_Z |
9 |
2 |
2 |
0.3392627020 |
COOR_Z |
9 |
3 |
3 |
0.3705127020 |
COOR_Z |
9 |
4 |
4 |
0.3705127020 |
COOR_Z |
9 |
5 |
5 |
0.4017627020 |
COOR_z |
9 |
6 |
6 |
0.4330127020 |
COOR_Z |
9 |
7 |
7 |
0.4330127020 |
COOR_Z |
9 |
8 |
8 |
0.4642627020 |
COOR_z |
9 |
9 |
9 |
0.4955127020 |
COOR_Z |
9 |
10 |
0.4955127020 |
|
COOR_Z |
9 |
11 |
11 |
0.5267627020 |
COOR_Z |
9 |
12 |
0.5580127020 |
Tolerance is \(1.0E-03\) for all tests.