8. Modeling I#

8.1. Characteristics of modeling#

It is a 2D modeling with D_ PLAN plane deformations, using linear meshes. We use the Signorin law of behavior from MFront with the GREEN_LAGRANGE model.

8.2. Characteristics of the mesh#

Number of linear elements: 228 TRIA3 Number of knots: 135

8.3. Tested sizes and results#

First calculation (MOONEY - RIVLIN)

Tested value

Instant

Reference

Type

Tolerance

Displacement \(w\)

1.0

\(-\mathrm{3,40091E-2}\)

Analytics

0.20%

We also test the stress in the middle of the square:

Value tested

Instant

Type

Constraint \({\mathrm{\sigma }}_{\mathit{YY}}\)

1,0

Non-regression

Second calculation (NEO - HOOKEAN)

Tested value

Instant

Reference

Type

Tolerance

Displacement \(w\)

1.0

\(-0.078180\)

Analytics

0.20%

We also test the stress in the middle of the square:

Value tested

Instant

Type

Constraint \({\mathrm{\sigma }}_{\mathit{YY}}\)

1,0

Non-regression

Third calculation (SIGNORINI)

Tested value

Instant

Reference

Type

Tolerance

Displacement \(w\)

1.0

\(-0.070936\)

Analytics

0.20%

We also test the stress in the middle of the square:

Value tested

Instant

Type

Constraint \({\mathrm{\sigma }}_{\mathit{YY}}\)

1,0

Non-regression