6. D modeling#

6.1. Characteristics of modeling#

3D_SI modeling.

6.2. Characteristics of the mesh#

Number of knots: 20.

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

6.3. Tested sizes and results#

The problem considered here is homogeneous and identical to problem \(A\) (modeling \(A\)). 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

673.7403

SOURCE EXTERNE

RELATIF — 1%

0.7

SIYY

363.2688

SOURCE EXTERNE

RELATIF — 1%

0.5

V1

0.8131189

SOURCE EXTERNE

RELATIF — 1%

0.7

V1

0.9573620

SOURCE EXTERNE

RELATIF — 1%

0.5

V2

0.07734343

SOURCE EXTERNE

RELATIF — 1%

0.7

V2

0.1506646

SOURCE EXTERNE

RELATIF — 1%