Modélisation A
==============


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

On utilise une modélisation DKT.


.. image:: images/Shape1.gif


.. _RefSchema_Shape1.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`         |
+---------------------------------+-----------------------+-----------------------+------------------------------------------------------------------------+---------------------+