C modeling
==============


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


.. image:: images/Shape6.gif


.. _RefSchema_Shape6.gif:

3D_HM modeling,

Behavioral law of type DRUCK_PRAG_N_A with parabolic negative work hardening:


.. csv-table::

    "Number of nodes", ":math:`20` ", "", "", ""
    "Number of meshes", ":math:`7` ", "That is:", "", ""
    "", "", "QUAD8 "," :math:`6`"
    "", "", "HEXA20 "," :math:`1`"


Mesh groups:

:math:`\mathrm{BAS}`: surface of the cube belonging to the :math:`Z=-0.5` plane

:math:`\mathrm{HAUT}`: surface of the cube belonging to the :math:`Z=+0.5` plane

:math:`\mathrm{DROITE}`: surface of the cube belonging to the :math:`Y=+0.5` plane

:math:`\mathrm{GAUCHE}`: surface of the cube belonging to the :math:`Y=-0.5` plane

:math:`\mathrm{DERRIERE}`: surface of the cube belonging to the :math:`X=-0.5` plane

:math:`\mathrm{DEVANT}`: surface of the cube belonging to the :math:`X=+0.5` plane


Results
---------

The results obtained are identical to those of modeling A.


+----------------------------------+---------+---------------------+------------------------+-----------------------------+
|Grandeur                          |Point    |:math:`\mathrm{Inst}`|Reference               |Tolerance (:math:`\text{\%}`)|
+----------------------------------+---------+---------------------+------------------------+-----------------------------+
|:math:`\mathrm{SIXX}(\mathrm{Pa})`|:math:`A`|:math:`1.004`        |:math:`-9.69\mathrm{E5}`|:math:`0.01`                 |
+                                  +         +---------------------+------------------------+-----------------------------+
|                                  |         |:math:`1.16`         |:math:`-4.52\mathrm{E7}`|:math:`0.01`                 |
+                                  +         +---------------------+------------------------+-----------------------------+
|                                  |         |:math:`1.34`         |:math:`-9.59\mathrm{E7}`|:math:`0.01`                 |
+                                  +         +---------------------+------------------------+-----------------------------+
|                                  |         |:math:`1.60`         |:math:`-1.69\mathrm{E8}`|:math:`0.01`                 |
+----------------------------------+---------+---------------------+------------------------+-----------------------------+
|:math:`\mathrm{SIZZ}(\mathrm{Pa})`|:math:`A`|:math:`1.004`        |:math:`-4.06\mathrm{E6}`|:math:`0.01`                 |
+                                  +         +---------------------+------------------------+-----------------------------+
|                                  |         |:math:`1.16`         |:math:`-1.13\mathrm{E8}`|:math:`0.01`                 |
+                                  +         +---------------------+------------------------+-----------------------------+
|                                  |         |:math:`1.34`         |:math:`-2.38\mathrm{E8}`|:math:`0.01`                 |
+                                  +         +---------------------+------------------------+-----------------------------+
|                                  |         |:math:`1.60`         |:math:`-4.20\mathrm{E8}`|:math:`0.01`                 |
+----------------------------------+---------+---------------------+------------------------+-----------------------------+
|:math:`\mathrm{Pre1}(\mathrm{Pa})`|:math:`A`|:math:`1.004`        |:math:`1.03\mathrm{E6}` |:math:`0.01`                 |
+                                  +         +---------------------+------------------------+-----------------------------+
|                                  |         |:math:`1.16`         |:math:`-4.32\mathrm{E7}`|:math:`0.01`                 |
+                                  +         +---------------------+------------------------+-----------------------------+
|                                  |         |:math:`1.34`         |:math:`-9.39\mathrm{E7}`|:math:`0.01`                 |
+                                  +         +---------------------+------------------------+-----------------------------+
|                                  |         |:math:`1.60`         |:math:`-1.67\mathrm{E8}`|:math:`0.01`                 |
+----------------------------------+---------+---------------------+------------------------+-----------------------------+