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

328.2971

SOURCE EXTERNE

RELATIF — 1%

0.7

SIYY

155.0775

SOURCE EXTERNE

RELATIF — 1%

0.5

V1

0.1906764

SOURCE EXTERNE

RELATIF — 1%

0.7

V1

0.2131176

SOURCE EXTERNE

RELATIF — 1%

0.5

V2

0.1494372

SOURCE EXTERNE

RELATIF — 1%

0.7

V2

0.1985566

SOURCE EXTERNE

RELATIF — 1%