10. K modeling#

10.1. Characteristics of modeling#

It’s a 3D model. We use the Signorin law of behavior from MFront with the model GREEN_LAGRANGE.

10.2. Characteristics of the mesh#

Number of elements: 1918 tetrahedra and 455 knots.

10.3. 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 stresses at the center of the cube:

Value tested

Instant

Type

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

1,0

Non-regression

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

1,0

Non-regression

Second calculation (NEO - HOOKEAN)

Tested value

Instant

Reference

Type

Tolerance

Displacement \(w\)

1.0

\(-0.078180\)

Analytics

0.30%

We also test the stresses at the center of the cube:

Value tested

Instant

Type

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

1,0

Non-regression

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

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

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

1,0

Non-regression