Modélisation C
==============


Caractéristiques de la modélisation C
-------------------------------------

Modélisation 3D.

Modèle de DRUCK_PRAGER à écrouissage négatif linéaire.


.. image:: images/Shape7.gif


.. _RefSchema_Shape7.gif:


.. csv-table::

    "Nombre de nœuds", ":math:`20`", "", "", ""
    "Nombre de mailles", ":math:`7`", "Soit :", "", ""
    "", "", "", "QUAD8", ":math:`6`"
    "", "", "", "HEXA20", ":math:`1`"


Géométrie du cube :math:`(m)` :

Centre :math:`O(0.,0.,0.)`

Côté :math:`C=1m`

Groupes de mailles :

:math:`\mathrm{BAS}` :         surface du cube appartenant au plan     :math:`Z=-0.5`

:math:`\mathrm{HAUT}` :         surface du cube appartenant au plan    :math:`Z=+0.5`

:math:`\mathrm{DROITE}` :         surface du cube appartenant au plan    :math:`Y=+0.5`

:math:`\mathrm{GAUCHE}` :         surface du cube appartenant au plan    :math:`Y=-0.5`

:math:`\mathrm{DERRIERE}` :         surface du cube appartenant au plan    :math:`X=-0.5`

:math:`\mathrm{DEVANT}` :         surface du cube appartenant au plan    :math:`X=+0.5`


Grandeurs testées et résultats
------------------------------


+------------------------------------+-------+-----------------------+--------------------------+--------------------------------+
| Grandeur                           | Point | :math:`\mathrm{Inst}` | Référence                | Tolérance (:math:`\text{\%}` ) |
+------------------------------------+-------+-----------------------+--------------------------+--------------------------------+
| :math:`\mathrm{SIXX}(\mathrm{Pa})` | A     | :math:`2.0`           | :math:`-2.0\mathrm{E6}`  | 0.1                            |
+------------------------------------+-------+-----------------------+--------------------------+--------------------------------+
| :math:`\mathrm{SIZZ}(\mathrm{Pa})` | A     | :math:`1.07`          | :math:`-8.09\mathrm{E6}` | 0.1                            |
|                                    |       +-----------------------+--------------------------+--------------------------------+
|                                    |       | :math:`1.16`          | :math:`-8.20\mathrm{E6}` | 0.1                            |
|                                    |       +-----------------------+--------------------------+--------------------------------+
|                                    |       | :math:`1.34`          | :math:`-6.89\mathrm{E6}` | 0.1                            |
|                                    |       +-----------------------+--------------------------+--------------------------------+
|                                    |       | :math:`1.53`          | :math:`-5.80\mathrm{E6}` | 0.1                            |
+------------------------------------+-------+-----------------------+--------------------------+--------------------------------+
| :math:`\mathrm{V1}`                | A     | :math:`1.07`          | :math:`0`                | 0.1                            |
|                                    |       +-----------------------+--------------------------+--------------------------------+
|                                    |       | :math:`1.16`          | :math:`1.99E-3`          | 0.1                            |
|                                    |       +-----------------------+--------------------------+--------------------------------+
|                                    |       | :math:`1.34`          | :math:`6.35E-3`          | 0.1                            |
|                                    |       +-----------------------+--------------------------+--------------------------------+
|                                    |       | :math:`1.53`          | :math:`1.09E-2`          | 0.1                            |
+------------------------------------+-------+-----------------------+--------------------------+--------------------------------+
| :math:`\mathrm{DZ}(m)`             | A     | :math:`1.07`          | :math:`-1.05E-3`         | 0.1                            |
|                                    |       +-----------------------+--------------------------+--------------------------------+
|                                    |       | :math:`1.16`          | :math:`-2.40E-3`         | 0.1                            |
|                                    |       +-----------------------+--------------------------+--------------------------------+
|                                    |       | :math:`1.34`          | :math:`-5.10E-3`         | 0.1                            |
|                                    |       +-----------------------+--------------------------+--------------------------------+
|                                    |       | :math:`1.53`          | :math:`-7.95E-3`         | 0.1                            |
+------------------------------------+-------+-----------------------+--------------------------+--------------------------------+