Modélisation B
==============


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

On utilise une modélisation DKT avec 7 couches dans l'épaisseur.


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

Le maillage contient 2500 éléments de type QUAD4.


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

On teste le déplacement suivant l'axe :math:`Z` et le moment :math:`\mathit{MXX}` le long de :math:`\mathit{AB}` .


+----------------------------------------------+-----------------------+-------------------------+--------------------+
| **Identification**                           | **Type de référence** | **Valeur de référence** | **Tolérance**      |
+---------------------+------------------------+                       |                         |                    |
| DEPL                | :math:`X(\mathit{cm})` |                       |                         |                    |
+---------------------+------------------------+-----------------------+-------------------------+--------------------+
|                     | :math:`0.0`            | 'SOURCE_EXTERNE'      | :math:`0.1033`          | :math:`4.0\text{}` |
| :math:`\mathit{DZ}` |                        |                       |                         |                    |
|                     +------------------------+-----------------------+-------------------------+--------------------+
|                     | :math:`2.0`            | 'SOURCE_EXTERNE'      | :math:`0.0992`          | :math:`3.5\text{}` |
|                     +------------------------+-----------------------+-------------------------+--------------------+
|                     | :math:`4.0`            | 'SOURCE_EXTERNE'      | :math:`0.0883`          | :math:`3.0\text{}` |
|                     +------------------------+-----------------------+-------------------------+--------------------+
|                     | :math:`6.0`            | 'SOURCE_EXTERNE'      | :math:`0.0692`          | :math:`3.0\text{}` |
|                     +------------------------+-----------------------+-------------------------+--------------------+
|                     | :math:`8.0`            | 'SOURCE_EXTERNE'      | :math:`0.0400`          | :math:`2.0\text{}` |
+---------------------+------------------------+-----------------------+-------------------------+--------------------+


+-----------------------------------------------+-----------------------+-------------------------+---------------------+
| **Identification**                            | **Type de référence** | **Valeur de référence** | **Tolérance**       |
+----------------------+------------------------+                       |                         |                     |
| EFGE_NOEU            | :math:`X(\mathit{cm})` |                       |                         |                     |
+----------------------+------------------------+-----------------------+-------------------------+---------------------+
| :math:`\mathit{MXX}` | :math:`1.0`            | 'SOURCE_EXTERNE'      | :math:`-50.0`           | :math:`1.0\text{}`  |
|                      |                        |                       |                         |                     |
|                      +------------------------+-----------------------+-------------------------+---------------------+
|                      | :math:`3.0`            | 'SOURCE_EXTERNE'      | :math:`-45.6`           | :math:`0.75\text{}` |
|                      +------------------------+-----------------------+-------------------------+---------------------+
|                      | :math:`5.0`            | 'SOURCE_EXTERNE'      | :math:`-36.4`           | :math:`2.0\text{}`  |
|                      +------------------------+-----------------------+-------------------------+---------------------+
|                      | :math:`7.0`            | 'SOURCE_EXTERNE'      | :math:`-23.2`           | :math:`5.0\text{}`  |
|                      +------------------------+-----------------------+-------------------------+---------------------+
|                      | :math:`9.0`            | 'SOURCE_EXTERNE'      | :math:`-8.0`            | :math:`6.0\text{}`  |
+----------------------+------------------------+-----------------------+-------------------------+---------------------+

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


*   Couche n°1 : :math:`-\mathrm{0.125cm}<Z<-\mathrm{0.089cm}`


+---------------------------+----------------------+-----------------------+-----------------------+------------------------------------------------+-------------------------------------+
| **Point / Maille**        | **Couche**           | **Grandeur**          | **Type de référence** | **Valeur de référence**                        | **Tolérance**                       |
+---------------------------+----------------------+-----------------------+-----------------------+------------------------------------------------+-------------------------------------+
| :math:`A(\mathit{M2700})` | :math:`\mathit{INF}` | :math:`\mathit{SIXX}` | 'NON_DEFINI'          | :math:`4875.116`                               | :math:`{10}^{-4}\text{%}`           |
|                           |                      +-----------------------+-----------------------+------------------------------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIYY}` | 'NON_DEFINI'          | :math:`4875.116`                               | :math:`{10}^{-4}\text{%}`           |
|                           |                      +-----------------------+-----------------------+------------------------------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIXY}` | 'NON_DEFINI'          | :math:`7.47\times {10}^{-9}`                   | :math:`{10}^{-6}`                   |
|                           +----------------------+-----------------------+-----------------------+------------------------------------------------+-------------------------------------+
|                           | :math:`\mathit{MOY}` | :math:`\mathit{SIXX}` | 'NON_DEFINI'          | :math:`4178.671`                               | :math:`{10}^{-4}\text{%}`           |
|                           |                      +-----------------------+-----------------------+------------------------------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIYY}` | 'NON_DEFINI'          | :math:`4178.671`                               | :math:`{10}^{-4}\text{%}`           |
|                           |                      +-----------------------+-----------------------+------------------------------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIXY}` | 'NON_DEFINI'          | :math:`6.4\times {10}^{-9}`                    | :math:`{10}^{-6}`                   |
|                           +----------------------+-----------------------+-----------------------+------------------------------------------------+-------------------------------------+
|                           | :math:`\text{SUP}`   | :math:`\mathit{SIXX}` | 'NON_DEFINI'          | :math:`3482.225`                               | :math:`{10}^{-4}\text{%}`           |
|                           |                      +-----------------------+-----------------------+------------------------------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIYY}` | 'NON_DEFINI'          | :math:`3482.225`                               | :math:`{10}^{-4}\text{%}`           |
|                           |                      +-----------------------+-----------------------+------------------------------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIXY}` | 'NON_DEFINI'          | :math:`5.3\times {10}^{-9}`                    | :math:`{10}^{-6}`                   |
+---------------------------+----------------------+-----------------------+-----------------------+------------------------------------------------+-------------------------------------+


*   Couche n°7 : :math:`\mathrm{0.089cm}<Z<\mathrm{0.125cm}`


+---------------------------+----------------------+-----------------------+-----------------------+-----------------------------------------------+-------------------------------------+
| **Point / Maille**        | **Couche**           | **Grandeur**          | **Type de référence** | **Valeur de référence**                       | **Tolérance**                       |
+---------------------------+----------------------+-----------------------+-----------------------+-----------------------------------------------+-------------------------------------+
| :math:`A(\mathit{M2700})` | :math:`\mathit{INF}` | :math:`\mathit{SIXX}` | 'NON_DEFINI'          | :math:`-3482.225`                             | :math:`{10}^{-4}\text{%}`           |
|                           |                      +-----------------------+-----------------------+-----------------------------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIYY}` | 'NON_DEFINI'          | :math:`-3482.225`                             | :math:`{10}^{-4}\text{%}`           |
|                           |                      +-----------------------+-----------------------+-----------------------------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIXY}` | 'NON_DEFINI'          | :math:`5.3\times {10}^{-9}`                   | :math:`{10}^{-6}`                   |
|                           +----------------------+-----------------------+-----------------------+-----------------------------------------------+-------------------------------------+
|                           | :math:`\mathit{MOY}` | :math:`\mathit{SIXX}` | 'NON_DEFINI'          | :math:`-4178.670`                             | :math:`{10}^{-4}\text{%}`           |
|                           |                      +-----------------------+-----------------------+-----------------------------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIYY}` | 'NON_DEFINI'          | :math:`-4178.670`                             | :math:`{10}^{-4}\text{%}`           |
|                           |                      +-----------------------+-----------------------+-----------------------------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIXY}` | 'NON_DEFINI'          | :math:`-6.4\times {10}^{-9}`                  | :math:`{10}^{-6}`                   |
|                           +----------------------+-----------------------+-----------------------+-----------------------------------------------+-------------------------------------+
|                           | :math:`\text{SUP}`   | :math:`\mathit{SIXX}` | 'NON_DEFINI'          | :math:`-4875.116`                             | :math:`{10}^{-4}\text{%}`           |
|                           |                      +-----------------------+-----------------------+-----------------------------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIYY}` | 'NON_DEFINI'          | :math:`-4875.116`                             | :math:`{10}^{-4}\text{%}`           |
|                           |                      +-----------------------+-----------------------+-----------------------------------------------+-------------------------------------+
|                           |                      | :math:`\mathit{SIXY}` | 'NON_DEFINI'          | :math:`7.5\times {10}^{-9}`                   | :math:`{10}^{-6}`                   |
+---------------------------+----------------------+-----------------------+-----------------------+-----------------------------------------------+-------------------------------------+