2. Modeling A#

2.1. Characteristics of modeling#

3D ( HEXA8 )

1 element, stress field and uniform deformation.

_images/100000000000021F000001E3C8D8CA17005519E9.png

2.2. Characteristics of the mesh#

Number of knots: 8

Number of meshes and type: 1 HEXA8

2.3. Tested sizes and results#

The components \(\mathrm{xx}\) and \(\mathrm{yy}\) of the stress field SIGM_ELNO, the cumulative plastic deformation under compression, the cumulative plastic deformation under tension (first and second internal variable, second component of the field VARI_ELNO) and the plastic state (the fourth variable of the field VARI_ELNO) were tested. The plastic state is equal to 1 in compression, 11 after projection at the top of the compression cone, 2 in tension, 22 after projection at the top of the traction criterion, 3 in compression and traction together, and 33 after projection onto the two vertices of the two cones. Since the displacement is imposed, field EPSI_ELNO is not tested.

The values given here correspond to version 7.2.25.

Field SIGM_ELNO component SIXX

Identification

Reference

Aster

% difference

For a displacement imposed in \({U}_{3}=–1.\) and \({U}_{1}={U}_{2}=0.\)

—

—

—

—

For a displacement imposed in \({U}_{3}=–1.725\) and \({U}_{1}={U}_{2}=0.010\)

—

2.5737449

—

For a displacement imposed in \({U}_{3}=–1.8\) and \({U}_{1}={U}_{2}=0.02872\)

—

0.6767446

—

For a displacement imposed in \({U}_{3}=–2.\) and \({U}_{1}={U}_{2}=0.1\)

—

2.666667 10-6

—

Field SIGM_ELNO component SIYY

Identification

Reference

Aster

% difference

For a displacement imposed in \({U}_{3}=–1.\) and \({U}_{1}={U}_{2}=0.\)

—

—17.4575632

—

For a displacement imposed in \({U}_{3}=–1.725\) and \({U}_{1}={U}_{2}=0.010\)

—

2.5737449

—

For a displacement imposed in \({U}_{3}=–1.8\) and \({U}_{1}={U}_{2}=0.02872\)

—

0.6767446

—

For a displacement imposed in \({U}_{3}=–2.\) and \({U}_{1}={U}_{2}=0.1\)

—

-3.622988 10-5

—

Field VARI_ELNO component V1 (cumulative plastic deformation under compression)

Identification

Reference

Aster

% difference

For a displacement imposed in \({U}_{3}=-1.\) and \({U}_{1}={U}_{2}=0.\)

0.1995285

For a displacement imposed in \({U}_{3}=-1.725\) and \({U}_{1}={U}_{2}=0.010\)

0.3429299

For a displacement imposed in \({U}_{3}=-1.8\) and \({U}_{1}={U}_{2}=0.02872\)

0.3449657

For a displacement imposed in \({U}_{3}=-2.\) and U_1= U_2= 0.1

0.3849539

Field VARI_ELNO component \(\mathrm{V2}\) (cumulative plastic deformation under tension)

Identification

Reference

Aster

% difference

For a displacement imposed in \({U}_{3}=-1.\) and \({U}_{1}={U}_{2}=0.\)

For a displacement imposed in \({U}_{3}=-1.725\) and \({U}_{1}={U}_{2}=0.010\)

1.231450e-03

For a displacement imposed in \({U}_{3}=-1.725\) and \({U}_{1}={U}_{2}=0.02872\)

2.638289e-02

For a displacement imposed in \({U}_{3}=-2.\) and \({U}_{1}={U}_{2}=0.1\)

8.373868e-02

Field VARI_ELNO component \(\mathrm{V4}\) (plastic state)

Identification

Reference

Aster

% difference

For an imposed displacement in \({U}_{3}=-1.\) and \({U}_{1}={U}_{2}=0.\)

For an imposed displacement in \({U}_{3}=-1.725\) and \({U}_{1}={U}_{2}=0.010\)

For an imposed displacement in \({U}_{3}=-1.725\) and \({U}_{1}={U}_{2}=0.02872\)

For a displacement imposed in \({U}_{3}=-2.\) and \({U}_{1}={U}_{2}=0.1\)