Modélisation A
==============


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

On utilise une modélisation DKT avec 3 couches dans l'épaisseur.


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

Le maillage contient 2048 éléments de type TRIA3.


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

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


*   Couche n°1 : :math:`-\mathrm{0.05m}<Z<-0.0167m`


+-----------------------------------------------------------------------------------------------------------------------------+-----------------------+-------------------------+----------------------------+
| **Identification**                                                                                                          | **Type de référence** | **Valeur de référence** | **Tolérance**              |
+----------------------+------------------------------------------------------------------------------+-----------------------+-----------------------+-------------------------+----------------------------+
| :math:`\mathit{INF}` | :math:`X=\mathrm{0.0m}`                                                      | :math:`\mathit{SIXX}` | 'ANALYTIQUE'          | :math:`10.`             | :math:`2.0\text{%}`        |
|                      |                                                                              +-----------------------+-----------------------+-------------------------+----------------------------+
|                      | :math:`Y=\mathrm{0.0m}`                                                      | :math:`\mathit{SIYY}` | 'ANALYTIQUE'          | :math:`0.`              | :math:`0.6`                |
|                      |                                                                              +-----------------------+-----------------------+-------------------------+----------------------------+
|                      | :math:`Z=-\mathrm{0.05m}`                                                    | :math:`\mathit{SIXY}` | 'ANALYTIQUE'          | :math:`0.`              | :math:`0.05`               |
+----------------------+------------------------------------------------------------------------------+-----------------------+-----------------------+-------------------------+----------------------------+
| :math:`\mathit{MOY}` | :math:`X=\mathrm{0.0m}`                                                      | :math:`\mathit{SIXX}` | 'ANALYTIQUE'          | :math:`0.`              | :math:`0.05`               |
|                      |                                                                              +-----------------------+-----------------------+-------------------------+----------------------------+
|                      | :math:`Y=\mathrm{1.0m}`                                                      | :math:`\mathit{SIYY}` | 'ANALYTIQUE'          | :math:`0.`              | :math:`0.2`                |
|                      |                                                                              +-----------------------+-----------------------+-------------------------+----------------------------+
|                      | :math:`Z=-\mathrm{0.0333m}`                                                  | :math:`\mathit{SIXY}` | 'ANALYTIQUE'          | :math:`0.`              | :math:`0.0035`             |
+----------------------+------------------------------------------------------------------------------+-----------------------+-----------------------+-------------------------+----------------------------+
| :math:`\text{SUP}`   | :math:`X=\mathrm{0.0m}`                                                      | :math:`\mathit{SIXX}` | 'ANALYTIQUE'          | :math:`-10.`            | :math:`1.5\text{%}`        |
|                      |                                                                              +-----------------------+-----------------------+-------------------------+----------------------------+
|                      | :math:`Y=\mathrm{2.0m}`                                                      | :math:`\mathit{SIYY}` | 'ANALYTIQUE'          | :math:`0.`              | :math:`0.5`                |
|                      |                                                                              +-----------------------+-----------------------+-------------------------+----------------------------+
|                      | :math:`Z=-\mathrm{0.0167m}`                                                  | :math:`\mathit{SIXY}` | 'ANALYTIQUE'          | :math:`0.`              | :math:`{10}^{-6}`          |
+----------------------+------------------------------------------------------------------------------+-----------------------+-----------------------+-------------------------+----------------------------+


*   Couche n°3 : :math:`\mathrm{0.0167m}<Z<\mathrm{0.05m}`


+---------------------------------------------------------------------------------------------------------------------+-----------------------+-------------------------+----------------------------+
| **Identification**                                                                                                  | **Type de référence** | **Valeur de référence** | **Tolérance**              |
+----------------------+----------------------------------------------------------------------+-----------------------+-----------------------+-------------------------+----------------------------+
| :math:`\mathit{INF}` | :math:`X=\mathrm{4.0m}`                                              | :math:`\mathit{SIXX}` | 'ANALYTIQUE'          | :math:`10.`             | :math:`1.5\text{%}`        |
|                      |                                                                      +-----------------------+-----------------------+-------------------------+----------------------------+
|                      | :math:`Y=\mathrm{0.0m}`                                              | :math:`\mathit{SIYY}` | 'ANALYTIQUE'          | :math:`0.`              | :math:`0.5`                |
|                      |                                                                      +-----------------------+-----------------------+-------------------------+----------------------------+
|                      | :math:`Z=\mathrm{0.0167m}`                                           | :math:`\mathit{SIXY}` | 'ANALYTIQUE'          | :math:`0.`              | :math:`{10}^{-4}`          |
+----------------------+----------------------------------------------------------------------+-----------------------+-----------------------+-------------------------+----------------------------+
| :math:`\mathit{MOY}` | :math:`X=\mathrm{4.0m}`                                              | :math:`\mathit{SIXX}` | 'ANALYTIQUE'          | :math:`0.`              | :math:`{10}^{-4}`          |
|                      |                                                                      +-----------------------+-----------------------+-------------------------+----------------------------+
|                      | :math:`Y=\mathrm{1.0m}`                                              | :math:`\mathit{SIYY}` | 'ANALYTIQUE'          | :math:`0.`              | :math:`{10}^{-4}`          |
|                      |                                                                      +-----------------------+-----------------------+-------------------------+----------------------------+
|                      | :math:`Z=\mathrm{0.0333m}`                                           | :math:`\mathit{SIXY}` | 'ANALYTIQUE'          | :math:`0.`              | :math:`{10}^{-3}`          |
+----------------------+----------------------------------------------------------------------+-----------------------+-----------------------+-------------------------+----------------------------+
| :math:`\text{SUP}`   | :math:`X=\mathrm{4.0m}`                                              | :math:`\mathit{SIXX}` | 'ANALYTIQUE'          | :math:`-10.`            | :math:`1.5\text{%}`        |
|                      |                                                                      +-----------------------+-----------------------+-------------------------+----------------------------+
|                      | :math:`Y=\mathrm{2.0m}`                                              | :math:`\mathit{SIYY}` | 'ANALYTIQUE'          | :math:`0.`              | :math:`0.5`                |
|                      |                                                                      +-----------------------+-----------------------+-------------------------+----------------------------+
|                      | :math:`Z=\mathrm{0.05m}`                                             | :math:`\mathit{SIXY}` | 'ANALYTIQUE'          | :math:`0.`              | :math:`{10}^{-4}`          |
+----------------------+----------------------------------------------------------------------+-----------------------+-----------------------+-------------------------+----------------------------+