Modeling A
==============


Characteristics of modeling
-----------------------------------

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


.. image:: images/10000000000001F1000001DF8C4232D94DB06625.png
    :width: 2.4528in
    :height: 2.3626in


.. _RefImage_10000000000001F1000001DF8C4232D94DB06625.png:

The modeling tested is 3D_ HHO with formulation LINEAIRE.


Characteristics of the mesh
----------------------------

The 246-node mesh contains 30 HEXA20 elements.


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'

.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**"
    "Least offset Gauss point - :math:`\mathit{tr}(\sigma)` - Pa", "'ANALYTIQUE'", "-864634851"," 20%"
    "Outermost Gauss point - :math:`\mathit{tr}(\sigma)` - Pa", "'ANALYTIQUE'", "282024733"," 2%"
    "Least offset Gauss point - :math:`p` ", "'ANALYTIQUE'", "0.1484523239275907"," 10%"
    "Outermost Gauss point - :math:`p` ", "'ANALYTIQUE'", "5.028991914e-5"," 35%"



notes
---------

The formulation HHO gives good results.