4. B modeling#

4.1. Characteristics of modeling#

3D ( HEXA8 )

1 element, stress field and uniform deformation.

_images/Shape4.gif

4.2. Characteristics of the mesh#

Number of knots: 8

Number of meshes and type: 1 HEXA8

4.3. Tested sizes and results#

The non-zero components of the stress field SIGM_ELNO (component \(\mathrm{xx}\), \(\mathrm{zz}\) and \(\mathrm{xz}\)), the cumulative plastic deformation under tension (second internal variable, second component of the field VARI_ELNO), and finally, only for the fourth case of loading (discharge), the cumulative plastic deformation in compression, were tested, and finally, only for the fourth case of loading (discharge), the cumulative plastic deformation in compression, (first internal variable, first component of the field), were tested. VARI_ELNO).

The first three loads correspond to the load, and have reference results. The fourth load corresponds to the discharge, and is a result of non-regression of the code.

Field SIGM_ELNO component SIXX

Identification

Reference

Aster

% difference

For an imposed move under load \({U}_{1}=0.1\) and \({U}_{2}=0.05\)

0.152474

0.1524472

0.018

For an imposed displacement under load \({U}_{1}\mathrm{=}0.2\) and \({U}_{2}\mathrm{=}0.10\)

8.492877.10—2

8.487797.10—2

0.060

For an imposed displacement under load \({U}_{1}\mathrm{=}0.3\) and \({U}_{2}\mathrm{=}0.15\)

1.732484.10—2

1.730871.10—2

0.434

For a displacement imposed at landfill \({U}_{1}\mathrm{=}0.1\) and \({U}_{2}\mathrm{=}0.05\)

(*)

—4.386134.10—5

(*) at the landfill, a non-regression test is carried out. There is no calculated analytical solution.

Field SIGM_ELNO component SIZZ

Identification

Reference

Aster

% difference

For an imposed displacement under load \({U}_{1}\mathrm{=}0.1\) and \({U}_{2}\mathrm{=}0.05\)

0.210300

0.210265

0.016

For an imposed displacement under load \({U}_{1}\mathrm{=}0.2\) and \({U}_{2}\mathrm{=}0.10\)

0.117138

0.117069

0.059

For a displacement imposed by load \({U}_{1}\mathrm{=}0.3\) and \({U}_{2}\mathrm{=}0.15\)

2.397743.10—2

2.387336.10—2

0.434

For a displacement imposed at landfill \({U}_{1}\mathrm{=}0.1\) and \({U}_{2}\mathrm{=}0.05\)

(*)

—4.768217.10—5

(*) at the landfill, a non-regression test is carried out. There is no calculated analytical solution.

Field SIGM_ELNO component SIXZ

Identification

Reference

Aster

% difference

For an imposed displacement under load \({U}_{1}=0.1\) and \({U}_{2}=0.05\)

—5.007871.10—2

—5.007226.10—2

0.013

For an imposed displacement under load \({U}_{1}=0.2\) and \({U}_{2}=0.10\)

—2.789472.10—2

—2.787871.10—2

0.057

For an imposed displacement under load \({U}_{1}=0.3\) and \({U}_{2}=0.15\)

—5.709873.10—3

—5.685155.10—3

0.433

For a displacement imposed at landfill \({U}_{1}=0.1\) and \({U}_{2}=0.05\)

(*)

—3.308936.10—6

(*) at the landfill, a non-regression test is carried out. There is no analytical solution.

Field VARI_ELNO component **** VARI_2 (cumulative plastic deformation under tension) **

Identification

Reference

Aster

% difference

For an imposed displacement under load \({U}_{1}=0.1\) and \({U}_{2}=0.05\)

1.085728.10—2

1.085728.10—2

5.10—9

For an imposed displacement under load \({U}_{1}=0.2\) and \({U}_{2}=0.10\)

2.171556.10—2

2.171556.10—2

5.10—9

For an imposed displacement under load \({U}_{1}=0.3\) and \({U}_{2}=0.15\)

3.257385.10—2

3.257385.10—2

4.10—9

For a displacement imposed at landfill \({U}_{1}=0.1\) and \({U}_{2}=0.05\)

3.257385.10—2

3.257385.10—2

4.10—9

(*) at the landfill, a non-regression test is carried out. There is no calculated analytical solution.

Field VARI_ELNO component **** VARI_1 (cumulative plastic deformation under compression) **

Identification

Reference

Aster

% difference

For a displacement imposed at landfill \({U}_{1}=0.1\) and \({U}_{2}=0.05\)

(*)

3.528401.10—1

(*) at the landfill, a non-regression test is carried out. There is no calculated analytical solution.