Modélisation A
==============


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

On utilise une modélisation DKT.


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

Le maillage contient 5000 éléments de type TRIA3.


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

On teste le déplacement suivant l'axe :math:`Z` et le moment :math:`\mathit{MXX}` au centre de la plaque (point :math:`A` ).


+----------------------------------------------+-----------------------+-------------------------+-----------------+
| **Identification**                           | **Type de référence** | **Valeur de référence** | **Tolérance %** |
+---------------------+------------------------+                       |                         |                 |
| DEPL                | :math:`X(\mathit{cm})` |                       |                         |                 |
+---------------------+------------------------+-----------------------+-------------------------+-----------------+
| :math:`\mathit{DZ}` | :math:`0.0`            | 'SOURCE_EXTERNE'      | :math:`0.14712`         | :math:`0.1`     |
+---------------------+------------------------+-----------------------+-------------------------+-----------------+


+-----------------------------------------------+-----------------------+-------------------------+---------------+
| **Identification**                            | **Type de référence** | **Valeur de référence** | **Tolérance** |
+----------------------+------------------------+                       |                         |               |
| EFGE_ELNO            | :math:`X(\mathit{cm})` |                       |                         |               |
+----------------------+------------------------+-----------------------+-------------------------+---------------+
| :math:`\mathit{MXX}` | :math:`1.0`            | 'SOURCE_EXTERNE'      | :math:`103.80`          | :math:`3.5`   |
+----------------------+------------------------+-----------------------+-------------------------+---------------+

On teste les contraintes sur la peau inférieure, moyenne et supérieure dans 2 couches.


*   Couche n°1 : :math:`-\mathrm{0.125cm}<Z<-\mathrm{0.0417cm}`


+---------------------------+----------------------+-----------------------+-----------------------+-------------------------+-------------------------------------+
| **Point / Maille**        | **Couche**           | **Grandeur**          | **Type de référence** | **Valeur de référence** | **Tolérance**                       |
+---------------------------+----------------------+-----------------------+-----------------------+-------------------------+-------------------------------------+
| :math:`A(\mathit{M5200})` | :math:`\mathit{INF}` | :math:`\mathit{SIXX}` | 'NON_DEFINI'          | :math:`9666.036`        | :math:`{10}^{-4}\text{ %}`          |
|                           |                      +-----------------------+-----------------------+-------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIYY}` | 'NON_DEFINI'          | :math:`9664.713`        | :math:`{10}^{-4}\text{ %}`          |
|                           |                      +-----------------------+-----------------------+-------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIXY}` | 'NON_DEFINI'          | :math:`-0.662`          | :math:`{10}^{-6}`                   |
|                           +----------------------+-----------------------+-----------------------+-------------------------+-------------------------------------+
|                           | :math:`\mathit{MOY}` | :math:`\mathit{SIXX}` | 'NON_DEFINI'          | :math:`8285.175`        | :math:`{10}^{-4}\text{ %}`          |
|                           |                      +-----------------------+-----------------------+-------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIYY}` | 'NON_DEFINI'          | :math:`8284.039`        | :math:`{10}^{-4}\text{ %}`          |
|                           |                      +-----------------------+-----------------------+-------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIXY}` | 'NON_DEFINI'          | :math:`-0.568`          | :math:`{10}^{-6}`                   |
|                           +----------------------+-----------------------+-----------------------+-------------------------+-------------------------------------+
|                           | :math:`\text{SUP}`   | :math:`\mathit{SIXX}` | 'NON_DEFINI'          | :math:`6904.313`        | :math:`{10}^{-4}\text{ %}`          |
|                           |                      +-----------------------+-----------------------+-------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIYY}` | 'NON_DEFINI'          | :math:`6903.366`        | :math:`{10}^{-4}\text{ %}`          |        
|                           |                      +-----------------------+-----------------------+-------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIXY}` | 'NON_DEFINI'          | :math:`-0.473`          | :math:`{10}^{-6}`                   |
+---------------------------+----------------------+-----------------------+-----------------------+-------------------------+-------------------------------------+


*   Couche n°3 : :math:`\mathrm{0.0417cm}<Z<\mathrm{0.125cm}`


+---------------------------+----------------------+-----------------------+-----------------------+-------------------------+-------------------------------------+
| **Point / Maille**        | **Couche**           | **Grandeur**          | **Type de référence** | **Valeur de référence** | **Tolérance**                       |
+---------------------------+----------------------+-----------------------+-----------------------+-------------------------+-------------------------------------+
| :math:`A(\mathit{M5200})` | :math:`\mathit{INF}` | :math:`\mathit{SIXX}` | 'NON_DEFINI'          | :math:`4142.588`        | :math:`{10}^{-4}\text{ %}`          |
|                           |                      +-----------------------+-----------------------+-------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIYY}` | 'NON_DEFINI'          | :math:`4142.020`        | :math:`{10}^{-4}\text{ %}`          |
|                           |                      +-----------------------+-----------------------+-------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIXY}` | 'NON_DEFINI'          | :math:`-0.284`          | :math:`{10}^{-6}`                   |
|                           +----------------------+-----------------------+-----------------------+-------------------------+-------------------------------------+
|                           | :math:`\mathit{MOY}` | :math:`\mathit{SIXX}` | 'NON_DEFINI'          | :math:`2761.725`        | :math:`{10}^{-4}\text{ %}`          |
|                           |                      +-----------------------+-----------------------+-------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIYY}` | 'NON_DEFINI'          | :math:`2761.346`        | :math:`{10}^{-4}\text{ %}`          |
|                           |                      +-----------------------+-----------------------+-------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIXY}` | 'NON_DEFINI'          | :math:`-0.189`          | :math:`{10}^{-6}`                   |
|                           +----------------------+-----------------------+-----------------------+-------------------------+-------------------------------------+
|                           | :math:`\text{SUP}`   | :math:`\mathit{SIXX}` | 'NON_DEFINI'          | :math:`1380.863`        | :math:`{10}^{-4}\text{ %}`          |
|                           |                      +-----------------------+-----------------------+-------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIYY}` | 'NON_DEFINI'          | :math:`1380.673`        | :math:`{10}^{-4}\text{ %}`          |
|                           |                      +-----------------------+-----------------------+-------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIXY}` | 'NON_DEFINI'          | :math:`-0.095`          | :math:`{10}^{-6}`                   |
+---------------------------+----------------------+-----------------------+-----------------------+-------------------------+-------------------------------------+