Modélisation J
==============


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

Élément de coque quadrangulaire DSQ. La plaque est modélisée avec un maillage :math:`48\times 48` .

Le repère utilisateur est confondu avec le repère d’orthotropie.


.. image:: images/10000000000002970000025CF7C2B3C90753D7A2.png
    :width: 4.2118in
    :height: 3.8382in


.. _RefImage_10000000000002970000025CF7C2B3C90753D7A2.png:

Conditions aux limites :

.. csv-table::

    "DDL_IMPO"
    "(GROUP_NO: AB, DX: 0.,DZ: 0.,DRY:0.)"
    "(GROUP_NO: BC, DY: 0.,DZ: 0.,DRX:0.)"
    "(GROUP_NO: CD, DX: 0.,DZ: 0.,DRY:0.)"
    "(GROUP_NO: DA, DY: 0.,DZ: 0.,DRX:0.)"
    "(GROUP_NO: O , DX: 0.,DY: 0.,DRX:0.,DRY:0.,DRZ:0.)"
    "FORCE_ARETE"
    "(GROUP_NO: AB MY:0.)"
    "(GROUP_NO: BC MX:0.)"
    "(GROUP_NO: CD MY:0.)"
    "(GROUP_NO: DA MX:0.)"



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

Nombre de nœuds : 2402

Nombre de mailles et type : 2304 QUAD4


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

+--------------------------+-------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| **Identification**                                                                                                                                                                                                                  |
+--------------------------+-------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| Point :math:`O`          | :math:`(\mathit{M1176})`| Contraintes :math:`{\sigma}_{xx}` , :math:`{\sigma}_{yy}` , :math:`{\sigma}_{xy}` , :math:`{\sigma}_{xz}` , :math:`{\sigma}_{yz}` sur feuillets inférieur, milieu et supérieur |
|                          |                         |                                                                                                                                                                                |
|                          |                         | Déplacement :math:`\mathit{DZ}`                                                                                                                                                |
+--------------------------+-------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| Point :math:`\mathit{B1}`| :math:`(\mathit{M24})`  | Contraintes :math:`{\sigma}_{xx}` , :math:`{\sigma}_{yy}` , :math:`{\sigma}_{xy}` , :math:`{\sigma}_{xz}` , :math:`{\sigma}_{yz}` sur feuillets inférieur, milieu et supérieur |
+--------------------------+-------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+

+--------------------------+-------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| **Identification**                                                                                                                                                                                                      |
+--------------------------+-------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| Point :math:`O`          | :math:`(\mathit{M1176})`| :math:`N_{xx}` , :math:`N_{yy}` , :math:`N_{xy}` , :math:`{M}_{xx}` , :math:`{M}_{yy}` et :math:`{M}_{xy}` , :math:`{T}_{x}` , :math:`{T}_{y}`                     |
+                          +-------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                          | :math:`(\mathit{M1177})`| :math:`T_{x}` , :math:`T_{y}`                                                                                                                                      |
+                          +-------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                          | :math:`(\mathit{M1128})`| :math:`T_{x}` , :math:`T_{y}`                                                                                                                                      |
+                          +-------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                          | :math:`(\mathit{M1129})`| :math:`T_{x}` , :math:`T_{y}`                                                                                                                                      |
+--------------------------+-------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------+

+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| **Identification**                                                                                                                                                                                                    |
+--------------------------+-------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| Point :math:`\mathit{A}` | :math:`(\mathit{M1})`   | :math:`{N}_{xx}` , :math:`{N}_{yy}` , :math:`{N}_{xy}` , :math:`{M}_{xx}` , :math:`{M}_{yy}` , :math:`{M}_{xy}` , :math:`{T}_{x}` , :math:`{T}_{y}`              |
+--------------------------+-------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| Point :math:`\mathit{B}` | :math:`(\mathit{M48})`  | :math:`{N}_{xx}` , :math:`{N}_{yy}` , :math:`{N}_{xy}` , :math:`{M}_{xx}` , :math:`{M}_{yy}` , :math:`{M}_{xy}` , :math:`{T}_{x}` , :math:`{T}_{y}`              |
+--------------------------+-------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| Point :math:`\mathit{C}` | :math:`(\mathit{M2304})`| :math:`{N}_{xx}` , :math:`{N}_{yy}` , :math:`{N}_{xy}` , :math:`{M}_{xx}` , :math:`{M}_{yy}` , :math:`{M}_{xy}` , :math:`{T}_{x}` , :math:`{T}_{y}`              |
+--------------------------+-------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| Point :math:`\mathit{D}` | :math:`(\mathit{M2257})`| :math:`{N}_{xx}` , :math:`{N}_{yy}` , :math:`{N}_{xy}` , :math:`{M}_{xx}` , :math:`{M}_{yy}` , :math:`{M}_{xy}` , :math:`{T}_{x}` , :math:`{T}_{y}`              |
+--------------------------+-------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------+

+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| **Identification**                                                                                                                                                                                                    |
+--------------------------+-------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| Point :math:`\mathit{B1}`| :math:`(\mathit{M24})`  | :math:`{N}_{xx}` , :math:`{N}_{yy}` , :math:`{N}_{xy}` , :math:`{M}_{xx}` , :math:`{M}_{yy}` , :math:`{M}_{xy}` , :math:`{T}_{x}` , :math:`{T}_{y}`              |
+                          +-------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                          | :math:`(\mathit{M25})`  | :math:`{N}_{xx}` , :math:`{N}_{yy}` , :math:`{N}_{xy}` , :math:`{M}_{xx}` , :math:`{M}_{yy}` , :math:`{M}_{xy}` , :math:`{T}_{x}` , :math:`{T}_{y}`              |
+--------------------------+-------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------+

+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| **Identification**                                                                                                                                                                                                    |
+--------------------------+-------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| Point :math:`\mathit{D1}`| :math:`(\mathit{M1105})`| :math:`{T}_{x}` , :math:`{T}_{y}`                                                                                                                                |
+                          +-------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                          | :math:`(\mathit{M1153})`| :math:`{N}_{xx}` , :math:`{N}_{yy}` , :math:`{N}_{xy}` , :math:`{M}_{xx}` , :math:`{M}_{yy}` , :math:`{M}_{xy}` , :math:`{T}_{x}` , :math:`{T}_{y}`              |
+--------------------------+-------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------+