Modélisation B
==============


Caractéristiques de la modélisation B
-------------------------------------

Modélisation AXIS.

Modèle de DRUCK_PRAGER à écrouissage négatif parabolique.


.. image:: images/Shape6.gif


.. _RefSchema_Shape6.gif:


.. csv-table::

    "Nombre de nœuds", ":math:`4`", "", "", ""
    "Nombre de mailles", ":math:`5`", "Soit :", "", ""
    "", "", "", "SEG2", ":math:`4`"
    "", "", "", "QUAD4", ":math:`1`"


Le carré est dans l'espace :math:`[0.,1.]\text{x}[0.,1.]` .

Coordonnées des points :math:`(m)` :

 :math:`A:(0.,0.)`

 :math:`B:(1.,0.)`

 :math:`C:(1.,1.)`

 :math:`D:(0.,1.)`

Mailles :

 :math:`\mathrm{M1}`  : surface :math:`\mathrm{ABDC}`

 :math:`\mathrm{M2}`  : segment :math:`\mathrm{AB}`

 :math:`\mathrm{M3}`  : segment :math:`\mathrm{BC}`

 :math:`\mathrm{M4}`  : segment :math:`\mathrm{CD}`

 :math:`\mathrm{M5}`  : segment :math:`\mathrm{DA}`



Groupes de nœuds:

:math:`A,B`




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


+------------------------------------+-------+-----------------------+--------------------------+--------------------------------+
| Grandeur                           | Point | :math:`\mathrm{Inst}` | Référence                | Tolérance (:math:`\text{\%}` ) |
+------------------------------------+-------+-----------------------+--------------------------+--------------------------------+
| :math:`\mathrm{SIXX}(\mathrm{Pa})` | C     | :math:`2.0`           | :math:`-2.0\mathrm{E6}`  | 0.1                            |
+------------------------------------+-------+-----------------------+--------------------------+--------------------------------+
| :math:`\mathrm{SIYY}(\mathrm{Pa})` | C     | :math:`1.07`          | :math:`-8.09\mathrm{E6}` | 0.1                            |
|                                    |       +-----------------------+--------------------------+--------------------------------+
|                                    |       | :math:`1.16`          | :math:`-8.01\mathrm{E6}` | 0.1                            |
|                                    |       +-----------------------+--------------------------+--------------------------------+
|                                    |       | :math:`1.34`          | :math:`-6.63\mathrm{E6}` | 0.1                            |
|                                    |       +-----------------------+--------------------------+--------------------------------+
|                                    |       | :math:`1.53`          | :math:`-5.81\mathrm{E6}` | 0.1                            |
+------------------------------------+-------+-----------------------+--------------------------+--------------------------------+
| :math:`\mathrm{V1}`                | C     | :math:`1.07`          | :math:`0`                | 0.1                            |
|                                    |       +-----------------------+--------------------------+--------------------------------+
|                                    |       | :math:`1.16`          | :math:`2.04E-3`          | 0.1                            |
|                                    |       +-----------------------+--------------------------+--------------------------------+
|                                    |       | :math:`1.34`          | :math:`6.42E-3`          | 0.1                            |
|                                    |       +-----------------------+--------------------------+--------------------------------+
|                                    |       | :math:`1.53`          | :math:`1.09E-2`          | 0.1                            |
+------------------------------------+-------+-----------------------+--------------------------+--------------------------------+
| :math:`\mathrm{DY}(m)`             | C     | :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                            |
+------------------------------------+-------+-----------------------+--------------------------+--------------------------------+