Modélisation C
==============


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

On utilise une modélisation Q4G.


.. image:: images/Shape3.gif


.. _RefSchema_Shape3.gif:


Caractéristiques du maillage
----------------------------

Le maillage contient 7260 nœuds et 10800 mailles dont :


*   7200 mailles de type TRIA3,


*   3600 mailles de type QUAD4.


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


*   Déplacements

+-------------------------------------------------------+-----------------------+----------------------------------------------+-----------------------------------+
| **Identification**                                    | **Type de référence** | **Valeur de référence**                      | **Tolérance** :math:`\text{(%)}`  |
+---------------------------------+---------------------+                       +                                              +                                   +  
| **Point**                       | **Grandeur**        |                       |                                              |                                   |
+---------------------------------+---------------------+-----------------------+----------------------------------------------+-----------------------------------+  
| :math:`A\text{_}\mathit{QUAD}`  | :math:`\mathit{DX}` | 'ANALYTIQUE'          | :math:`{\delta}_{r}=1.19\times {10}^{-7}m`   | :math:`3.0`                       |
+---------------------------------+                     +-----------------------+----------------------------------------------+-----------------------------------+  
| :math:`A\text{_}\mathit{TRIA}`  |                     | 'ANALYTIQUE'          | :math:`{\delta}_{r}=1.19\times {10}^{-7}m`   | :math:`2.0`                       |
+---------------------------------+                     +-----------------------+----------------------------------------------+-----------------------------------+  
| :math:`B\text{_}\mathit{QUAD}`  |                     | 'ANALYTIQUE'          | :math:`{\delta}_{r}=1.79\times {10}^{-6}m`   | :math:`1.5`                       |
+---------------------------------+                     +-----------------------+----------------------------------------------+-----------------------------------+  
| :math:`B\text{_}\mathit{TRIA}`  |                     | 'ANALYTIQUE'          | :math:`{\delta}_{r}=1.79\times {10}^{-6}m`   | :math:`1.5`                       |
+---------------------------------+---------------------+-----------------------+----------------------------------------------+-----------------------------------+  

*   Contraintes

+---------------------------------------------------------+-----------------------+-----------------------------------------+-----------------------------------+
| **Identification**                                      | **Type de référence** | **Valeur de référence**                 | **Tolérance** :math:`\text{(%)}`  |
+---------------------------------+-----------------------+                       +                                         +                                   +  
| **Point**                       | **Grandeur**          |                       |                                         |                                   |
+---------------------------------+-----------------------+-----------------------+-----------------------------------------+-----------------------------------+  
| :math:`A\text{_}\mathit{QUAD}`  | :math:`\mathit{SIXX}` | 'ANALYTIQUE'          | :math:`7.5\times {10}^{5}\mathit{Pa}`   | :math:`5.0`                       |
+---------------------------------+                       +-----------------------+-----------------------------------------+-----------------------------------+  
| :math:`A\text{_}\mathit{TRIA}`  |                       | 'ANALYTIQUE'          | :math:`7.5\times {10}^{5}\mathit{Pa}`   | :math:`5.0`                       |
+---------------------------------+                       +-----------------------+-----------------------------------------+-----------------------------------+  
| :math:`B\text{_}\mathit{QUAD}`  |                       | 'ANALYTIQUE'          | :math:`4.17\times {10}^{5}\mathit{Pa}`  | :math:`3.0`                       |
+---------------------------------+                       +-----------------------+-----------------------------------------+-----------------------------------+  
| :math:`B\text{_}\mathit{TRIA}`  |                       | 'ANALYTIQUE'          | :math:`4.17\times {10}^{5}\mathit{Pa}`  | :math:`3.0`                       |
+---------------------------------+-----------------------+-----------------------+-----------------------------------------+-----------------------------------+  

+---------------------------------------------------------+-----------------------+-----------------------------------------------------+-----------------------------------+
| **Identification**                                      | **Type de référence** | **Valeur de référence**                             | **Tolérance** :math:`\text{(%)}`  |
+---------------------------------+-----------------------+                       +                                                     +                                   +  
| **Point**                       | **Grandeur**          |                       |                                                     |                                   |
+---------------------------------+-----------------------+-----------------------+-----------------------------------------------------+-----------------------------------+  
| :math:`A\text{_}\mathit{QUAD}`  | :math:`\mathit{SIYY}` | 'ANALYTIQUE'          | :math:`{\sigma}_{11}=2.5\times {10}^{5}\mathit{Pa}` | :math:`12.0`                      |
+---------------------------------+                       +-----------------------+-----------------------------------------------------+-----------------------------------+  
| :math:`A\text{_}\mathit{TRIA}`  |                       | 'ANALYTIQUE'          | :math:`{\sigma}_{11}=2.5\times {10}^{5}\mathit{Pa}` | :math:`12.0`                      |
+---------------------------------+                       +-----------------------+-----------------------------------------------------+-----------------------------------+  
| :math:`B\text{_}\mathit{QUAD}`  |                       | 'ANALYTIQUE'          | :math:`{\sigma}_{11}=2.5\times {10}^{5}\mathit{Pa}` | :math:`4.0`                       |
+---------------------------------+                       +-----------------------+-----------------------------------------------------+-----------------------------------+  
| :math:`B\text{_}\mathit{TRIA}`  |                       | 'ANALYTIQUE'          | :math:`{\sigma}_{11}=2.5\times {10}^{5}\mathit{Pa}` | :math:`4.0`                       |
+---------------------------------+-----------------------+-----------------------+-----------------------------------------------------+-----------------------------------+