B modeling
==============


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

D_ PLAN_GRAD_VARI modeling.


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

Number of knots: 8

Number and types of meshes: 1 QUAD8, 4 SEG3.


Tested sizes and results
-------------------------------

The problem considered here is homogeneous, 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 :math:`{\mathrm{\sigma }}_{\mathit{yy}}` of the stress tensor ('SIEF_ELGA', 'SIYY'), the work-hardening variable :math:`\mathrm{\kappa }` ('VARI_ELGA', 'V1') and the porosity :math:`f` ('VARI_ELGA', 'V2') and the porosity ('', 'V2').

The following table summarizes the values obtained by the Z-set finite element calculation software.


.. csv-table::

    "**INST**", "**Identification**", "**Reference Value**", "**Type**", "**Tolerance**"
    "0.1"," SIXY ", "400.8297"," SOURCE EXTERNE "," RELATIF — 1%"
    "1.0"," SIXY ", "445.9803"," SOURCE EXTERNE "," RELATIF — 1%"
    "0.1", "V1", "0.1059917"," SOURCE EXTERNE "," RELATIF — 1%"
    "1.0", "V1", "1.145363"," SOURCE EXTERNE "," RELATIF — 1%"
    "0.1", "V2", "0.01"," SOURCE EXTERNE "," RELATIF — 1%"
    "1.0", "V2", "0.01"," SOURCE EXTERNE "," RELATIF — 1%"