8. F modeling#
8.1. Characteristics of modeling#
We use a MEMBRANE modeling in large deformations (DEFORMATION =” GROT_GDEP “) with the Neo-Hookian law of behavior (RELATION =” ELAS_MEMBRANE_NH”). Bi-quadratic elements are used.
8.2. Characteristics of the mesh#
The mesh is the same as for C modeling.
8.3. Tested sizes and results#
The pressure applied during loading is tested.
Identification |
Reference type |
Reference value |
Precision |
Instant 0.1 - \(\mathit{ETA}\text{\_}\mathit{PILO}\) |
“SOURCE_EXTERNE” |
109.55 \(N/{m}^{2}\) |
|
Instant 0.2 - \(\mathit{ETA}\text{\_}\mathit{PILO}\) |
“SOURCE_EXTERNE” |
531.73 \(N/{m}^{2}\) |
|
Instant 0.3 - \(\mathit{ETA}\text{\_}\mathit{PILO}\) |
“SOURCE_EXTERNE” |
995.8 \(N/{m}^{2}\) |
|
Instant 0.4 - \(\mathit{ETA}\text{\_}\mathit{PILO}\) |
“SOURCE_EXTERNE” |
1276.2 \(N/{m}^{2}\) |
|
Instant 0.5 - \(\mathit{ETA}\text{\_}\mathit{PILO}\) |
“SOURCE_EXTERNE” |
1366.9 \(N/{m}^{2}\) |
|
Instant 0.6 - \(\mathit{ETA}\text{\_}\mathit{PILO}\) |
“SOURCE_EXTERNE” |
1344.7 \(N/{m}^{2}\) |
|
Instant 0.7 - \(\mathit{ETA}\text{\_}\mathit{PILO}\) |
“SOURCE_EXTERNE” |
1280.6 \(N/{m}^{2}\) |
|
Instant 0.8 - \(\mathit{ETA}\text{\_}\mathit{PILO}\) |
“SOURCE_EXTERNE” |
1203.0 \(N/{m}^{2}\) |
|
Instant 0.9 - \(\mathit{ETA}\text{\_}\mathit{PILO}\) |
“SOURCE_EXTERNE” |
1124.4 \(N/{m}^{2}\) |
|
Instant 1.0 - \(\mathit{ETA}\text{\_}\mathit{PILO}\) |
“SOURCE_EXTERNE” |
1049.0 \(N/{m}^{2}\) |
|
Figure 6.2-a: Results of the D modeling vs numerical reference in figure 2.1 -a.
8.4. notes#
We used on-the-go piloting (SUIV_PILO) as for the D modeling.
With bi-quadratic cells, therefore of a higher order than the reference solution, the results remain as satisfactory as with the quadratic cells of the E modeling.