Modélisation B
==============


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

La cellule est homogénéisée en PLAQUE afin d’obtenir les paramètres pour un modèle plaque.


Valeurs testées
---------------

On compare les valeurs des coefficients homogénéisés (élastiques et thermiques) obtenues par le calcul à ceux de la note [Voldoire1993]_.

+---------------------------------------+----------------------------------+--------------+---------------------------------------------------------------------------------------------------------------------------+
| **Coefficients homogénéisés**         | Référence                        | Calcul ASTER | Erreur relative (%)                                                                                                       |
|                                       |                                  |              | :math:`\frac{\left|\text{valeur approchée}-\text{valeur théorique}\right|}{\left|\text{valeur théorique}\right|}\ast 100` |
+---------------------------------------+----------------------------------+--------------+---------------------------------------------------------------------------------------------------------------------------+
| :math:`{C}_{1111}` (MEMB_L)           | 0.43865                          | 0.43883444   | 0.042 %                                                                                                                   |
+---------------------------------------+----------------------------------+--------------+---------------------------------------------------------------------------------------------------------------------------+
| :math:`{C}_{2222}` (MEMB_T)           | --                               | --           | --                                                                                                                        |
+---------------------------------------+----------------------------------+--------------+---------------------------------------------------------------------------------------------------------------------------+
| :math:`{C}_{1212}` (MEMB_G_LT)        | 0.15493                          | 0.15499162   | 0.04 %                                                                                                                    |
+---------------------------------------+----------------------------------+--------------+---------------------------------------------------------------------------------------------------------------------------+
| :math:`{C}_{1122}` (MEMB_LT)          | 0.07747                          | 0.07726186   | 0.269 %                                                                                                                   |
+---------------------------------------+----------------------------------+--------------+---------------------------------------------------------------------------------------------------------------------------+
| :math:`{D}_{1111}` (FLEX_L)           | 0.43789                          | 0.43849126   | 0.137 %                                                                                                                   |
+---------------------------------------+----------------------------------+--------------+---------------------------------------------------------------------------------------------------------------------------+
| :math:`{D}_{2222}` (FLEX_T)           | --                               | --           | --                                                                                                                        |
+---------------------------------------+----------------------------------+--------------+---------------------------------------------------------------------------------------------------------------------------+
| :math:`{D}_{1212}` (FLEX_G_LT)        | 0.15477                          | 0.15500363   | 0.151 %                                                                                                                   |
+---------------------------------------+----------------------------------+--------------+---------------------------------------------------------------------------------------------------------------------------+
| :math:`{D}_{1122}` (FLEX_LT)          | 0.07824                          | 0.07759885   | 0.819 %                                                                                                                   |
+---------------------------------------+----------------------------------+--------------+---------------------------------------------------------------------------------------------------------------------------+