8. Modeling A#

8.1. Characteristics of modeling#

We take advantage of the symmetries of the problem to model only one eighth of the sphere.

_images/10000000000001F1000001DF8C4232D94DB06625.png

The modeling tested is 3D_ HHO with formulation LINEAIRE.

8.2. Characteristics of the mesh#

The 246-node mesh contains 30 HEXA20 elements.

8.3. Tested sizes and results#

The stress trace and the cumulative plastic deformation are tested for the most eccentric and the least eccentric Gauss points.

MODELISATION =”3D_ HHO “and DEFORMATION =” GDEF_LOG”

Identification

Reference type

Reference value

Tolerance

Least offset Gauss point - \(\mathit{tr}(\sigma)\) - Pa

“ANALYTIQUE”

-864634851

20%

Outermost Gauss point - \(\mathit{tr}(\sigma)\) - Pa

“ANALYTIQUE”

282024733

2%

Least offset Gauss point - \(p\)

“ANALYTIQUE”

0.1484523239275907

10%

Outermost Gauss point - \(p\)

“ANALYTIQUE”

5.028991914e-5

35%

8.4. notes#

The formulation HHO gives good results.