12. J modeling#
12.1. Characteristics of modeling#
Meshing with ``3D_ INCO_UPG « and » DEFORMATION =” GDEF_LOG “``elements incompressible types PENTA15 only.
The boundary conditions are:
Zero vertical displacement on “FACSUP” and “FACINF” faces \(\mathit{AEFD}\) (\(z=0\) and \(z=0.01\)): DZ = 0.
Normal movement stuck on the “FACEAB” faces (side \(\mathit{AB}\), DX = 0) and “FACEEF” (side \(\mathit{EF}\), DNOR = 0.)
Imposed displacement on the inside of the cylinder “FACEAE”: face \(\mathit{AE}\) DNOR = -6.10-5
12.2. Characteristics of the mesh#
Number of knots: 1861
Number of meshes: 480 PENTA15
12.3. Tested sizes and results#
Displacements and constraints SIGM_NOEU are evaluated at points \(A\) and \(F\). The components of field SIEQ_NOEU are tested to the point \(A\) only.
Identification |
Reference type |
Reference |
Tolerance |
|
\(A\) |
\(\mathit{u}\) (X) |
ANALYTIQUE |
1.10-5 |
|
\(\mathit{v}\) (DY) |
ANALYTIQUE |
|
1.10-3 |
|
\(\mathit{\sigma_{xx}}\) |
ANALYTIQUE |
99.9566 |
0.0002 |
|
\(\mathit{\sigma_{yy}}\) |
ANALYTIQUE |
-59.9955 |
0.003 |
|
\(\mathit{\sigma_{zz}}\) |
ANALYTIQUE |
19.9326 |
0.007 |
|
\(\mathit{\sigma_{xy}}\) |
ANALYTIQUE |
0.0008 |
||
VMIS |
ANALYTIQUE |
138.5226 |
0.05 |
|
TRESCA |
ANALYTIQUE |
159.9521 |
0.05 |
|
PRIN_1 |
ANALYTIQUE |
-59.9955 |
0.09 |
|
PRIN_2 |
ANALYTIQUE |
19.9326 |
0.08 |
|
PRIN_3 |
ANALYTIQUE |
99.9566 |
0.03 |
|
VMIS_SG |
ANALYTIQUE |
138.5226 |
0.05 |
|
Identification |
Reference type |
Reference |
Tolerance |
|
\(F\) |
\(\mathit{u}\) (X) |
ANALYTIQUE |
-2.1217 10-5 |
4.10-3 |
\(\mathit{v}\) (DY) |
ANALYTIQUE |
2.1217 10-5 |
4.10-3 |
|
\(\mathit{\sigma_{xx}}\) |
ANALYTIQUE |
20.003 |
0.007 |
|
\(\mathit{\sigma_{yy}}\) |
ANALYTIQUE |
20.003 |
0.0006 |
|
\(\mathit{\sigma_{zz}}\) |
ANALYTIQUE |
20.003 |
3.10-5 |
|
\(\mathit{\sigma_{xy}}\) |
ANALYTIQUE |
20.003 |
0.0004 |
|