H modeling
==============


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


* Tested behavior: ImplicitsiMomieheelastoplasticity.mfront and plasticity.mfront.

Von Mises' elasto-plastic law in large deformations using either the Simo and Miehe formulation, comparable to VMIS_ISOT_LINE, with DEFORMATION =' SIMO_MIEHE '

(cf. [:ref:`R5.03.21 <R5.03.21>`]), i.e. DEFORMATION =' GDEF_LOG '(cf. [:ref:`R5.03.24 <R5.03.24>`]).


* Modeling and data similar to those of test SSNP159A.


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

The reference solution is the one obtained by behavior VMIS_ISOT_LINE and SIMO_MIEHE.


+-------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------+------------++------------------------------+
|**Identification**                                                                                                                                           |**Aster reference**              |**Tolerance** **Mfront/Aster**|
+                                                                                                                                                             +-------------------+------------++                              +
|                                                                                                                                                             |**SIMO_MIEHE**     |**GDEF_LOG**||                              |
+-------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------+------------++------------------------------+
|:math:`t\mathrm{=}2` Displacement :math:`\mathit{DX}` (:math:`\mathit{N8}`)                                                                                  |290                |290         ||0.1%                          |
+-------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------+------------++------------------------------+
|:math:`t\mathrm{=}2` Constraints :math:`\mathit{SIGXX}` (:math:`\mathit{PG1}`)                                                                               |1500.55            |1494.80     ||0.1%                          |
+-------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------+------------++------------------------------+
|:math:`t\mathrm{=}2` Variable                                                                                                                                |0.25               |0.2475      ||0.1%                          |
+ .. image:: images/Object_59.svg                                                                                                                             +                   +            ++                              +
|    :width: 14                                                                                                                                               |                   |            ||                              |
+    :height: 17                                                                                                                                              +                   +            ++                              +
|                                                                                                                                                             |                   |            ||                              |
+ :math:`\mathit{VARI}` (:math:`\mathit{PG1}`)                                                                                                                +                   +            ++                              +
|                                                                                                                                                             |                   |            ||                              |
+-------------------------------------------------------------------------------------------------------------------------------------------------------------+-------------------+------------++------------------------------+