7. E modeling#

7.1. Characteristics of modeling#

3D Modeling_ GRAD_VARI.

7.2. Characteristics of the mesh#

Number of knots: 20

Number and types of meshes: 1 HEXA20, 6 QUAD8, 6, 12 SEG3.

7.3. Tested sizes and results#

The problem considered here is homogeneous and identical to problem \(B\) (modeling \(B\)). The constraints (or the internal variables) are therefore identical at the various gauss points.

The following values are recovered at time 0.5 and 0.7: the component \({\mathrm{\sigma }}_{\mathit{yy}}\) of the stress tensor (“SIEF_ELGA”, “SIYY”), the work-hardening variable \(\mathrm{\kappa }\) (“VARI_ELGA”, “V1”) and the porosity \(f\) (“VARI_ELGA”, “V2”) and the porosity (“”, “V2”).

The following table summarizes the values obtained by the Z-set finite element calculation software.

INST

Identification

Reference Value

Type

Tolerance

0.5

SIYY

552.0310

SOURCE EXTERNE

RELATIF — 1%

0.7

SIYY

268.0311

SOURCE EXTERNE

RELATIF — 1%

0.5

V1

1.542972

SOURCE EXTERNE

RELATIF — 1%

0.7

V1

1.714746

SOURCE EXTERNE

RELATIF — 1%

0.5

V2

0.09346505

SOURCE EXTERNE

RELATIF — 1%

0.7

V2

0.1735008

SOURCE EXTERNE

RELATIF — 1%