6. D modeling#

6.1. 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”). Linear elements are used.

6.2. Characteristics of the mesh#

The mesh is the same as for modeling A.

6.3. 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 \(N/{m}^{2}\)

7%

Instant 0.2 - \(\mathit{ETA}\text{\_}\mathit{PILO}\)

“SOURCE_EXTERNE”

531.73 \(N/{m}^{2}\)

3%

Instant 0.3 - \(\mathit{ETA}\text{\_}\mathit{PILO}\)

“SOURCE_EXTERNE”

995.8 \(N/{m}^{2}\)

2%

Instant 0.4 - \(\mathit{ETA}\text{\_}\mathit{PILO}\)

“SOURCE_EXTERNE”

1276.2 \(N/{m}^{2}\)

3%

Instant 0.5 - \(\mathit{ETA}\text{\_}\mathit{PILO}\)

“SOURCE_EXTERNE”

1366.9 \(N/{m}^{2}\)

3%

Instant 0.6 - \(\mathit{ETA}\text{\_}\mathit{PILO}\)

“SOURCE_EXTERNE”

1344.7 \(N/{m}^{2}\)

4%

Instant 0.7 - \(\mathit{ETA}\text{\_}\mathit{PILO}\)

“SOURCE_EXTERNE”

1280.6 \(N/{m}^{2}\)

5%

Instant 0.8 - \(\mathit{ETA}\text{\_}\mathit{PILO}\)

“SOURCE_EXTERNE”

1203.0 \(N/{m}^{2}\)

6%

Instant 0.9 - \(\mathit{ETA}\text{\_}\mathit{PILO}\)

“SOURCE_EXTERNE”

1124.4 \(N/{m}^{2}\)

6%

Instant 1.0 - \(\mathit{ETA}\text{\_}\mathit{PILO}\)

“SOURCE_EXTERNE”

1049.0 \(N/{m}^{2}\)

7%
_images/10000201000006CF00000512C0A4CF01AC1AC796.png

Figure 6.2-a: Results of the D modeling vs numerical reference in figure 2.1 -a.

_images/100002010000016C00000155BE11931C25F14331.png _images/100002010000016C000001557FE462F79BE08394.png _images/100002010000016C000001557169D5AF344BD6E3.png

Figure 6.2-b: Initial state (left), deformed at time 0.5 (center) and deformed at final state (right).

6.4. notes#

We used on-the-go piloting (SUIV_PILO) to achieve convergence. The Neo-Hookian law of behavior reveals a snap-through at around 1.4kPa. This leads to strong non-linearities around this value that can be overcome by controlling the follower pressure.

The mesh is approximately 2 times coarser than that of the reference and the meshes are linear and not quadratic. This explains the differences observed compared to the reference solution for this modeling.