9. J modeling#

9.1. Characteristics of modeling#

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

9.2. Characteristics of the mesh#

Number of quadratic elements: 228 TRIA6 Number of knots: 497

9.3. 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