B modeling
==============


Characteristics of modeling
-----------------------------------

We use a DST model.


.. image:: images/Shape2.gif


.. _RefSchema_Shape2.gif:


Characteristics of the mesh
----------------------------

The mesh contains 7260 knots and 10800 meshes including:


* 7200 TRIA3 meshes,


* 3600 QUAD4 meshes.


Tested sizes and results
------------------------------


* Travel


+-------------------------------+-------------------+------------------+----------------------------------------------------------------------+---------------------------------+
|**Identification**                                 |**Reference type**|**Reference value**                                                   |**Tolerance** :math:`\text{(\%)}`|
+-------------------------------+-------------------+                  +                                                                      +                                 +
|**Point**                      |**Size**           |                  |                                                                      |                                 |
+-------------------------------+-------------------+------------------+----------------------------------------------------------------------+---------------------------------+
|:math:`A\text{\_}\mathit{QUAD}`|:math:`\mathit{DX}`|'ANALYTIQUE'      |:math:`{\delta }_{r}\mathrm{=}1.19\mathrm{\times }{10}^{\mathrm{-}7}m`|:math:`3.0`                      |
+-------------------------------+                   +------------------+----------------------------------------------------------------------+---------------------------------+
|:math:`A\text{\_}\mathit{TRIA}`|                   |'ANALYTIQUE'      |:math:`{\delta }_{r}\mathrm{=}1.19\mathrm{\times }{10}^{\mathrm{-}7}m`|:math:`2.0`                      |
+-------------------------------+                   +------------------+----------------------------------------------------------------------+---------------------------------+
|:math:`B\text{\_}\mathit{QUAD}`|                   |'ANALYTIQUE'      |:math:`{\delta }_{r}\mathrm{=}1.79\mathrm{\times }{10}^{\mathrm{-}6}m`|:math:`1.5`                      |
+-------------------------------+                   +------------------+----------------------------------------------------------------------+---------------------------------+
|:math:`B\text{\_}\mathit{TRIA}`|                   |'ANALYTIQUE'      |:math:`{\delta }_{r}\mathrm{=}1.79\mathrm{\times }{10}^{\mathrm{-}6}m`|:math:`1.5`                      |
+-------------------------------+-------------------+------------------+----------------------------------------------------------------------+---------------------------------+


* Constraints


+-------------------------------+---------------------+------------------+-----------------------------------------------+---------------------------------+
|**Identification**                                   |**Reference type**|**Reference value**                            |**Tolerance** :math:`\text{(\%)}`|
+-------------------------------+---------------------+                  +                                               +                                 +
|**Point**                      |**Size**             |                  |                                               |                                 |
+-------------------------------+---------------------+------------------+-----------------------------------------------+---------------------------------+
|:math:`A\text{\_}\mathit{QUAD}`|:math:`\mathit{SIXX}`|'ANALYTIQUE'      |:math:`7.5\mathrm{\times }{10}^{5}\mathit{Pa}` |:math:`5.0`                      |
+-------------------------------+                     +------------------+-----------------------------------------------+---------------------------------+
|:math:`A\text{\_}\mathit{TRIA}`|                     |'ANALYTIQUE'      |:math:`7.5\mathrm{\times }{10}^{5}\mathit{Pa}` |:math:`5.0`                      |
+-------------------------------+                     +------------------+-----------------------------------------------+---------------------------------+
|:math:`B\text{\_}\mathit{QUAD}`|                     |'ANALYTIQUE'      |:math:`4.17\mathrm{\times }{10}^{5}\mathit{Pa}`|:math:`3.0`                      |
+-------------------------------+                     +------------------+-----------------------------------------------+---------------------------------+
|:math:`B\text{\_}\mathit{TRIA}`|                     |'ANALYTIQUE'      |:math:`4.17\mathrm{\times }{10}^{5}\mathit{Pa}`|:math:`3.0`                      |
+-------------------------------+---------------------+------------------+-----------------------------------------------+---------------------------------+


+-------------------------------+---------------------+------------------+----------------------------------------------------------------------+---------------------------------+
|**Identification**                                   |**Reference type**|**Reference value**                                                   |**Tolerance** :math:`\text{(\%)}`|
+-------------------------------+---------------------+                  +                                                                      +                                 +
|**Point**                      |**Size**             |                  |                                                                      |                                 |
+-------------------------------+---------------------+------------------+----------------------------------------------------------------------+---------------------------------+
|:math:`A\text{\_}\mathit{QUAD}`|:math:`\mathit{SIYY}`|'ANALYTIQUE'      |:math:`{\sigma }_{11}\mathrm{=}2.5\mathrm{\times }{10}^{5}\mathit{Pa}`|:math:`12.0`                     |
+-------------------------------+                     +------------------+----------------------------------------------------------------------+---------------------------------+
|:math:`A\text{\_}\mathit{TRIA}`|                     |'ANALYTIQUE'      |:math:`{\sigma }_{11}\mathrm{=}2.5\mathrm{\times }{10}^{5}\mathit{Pa}`|:math:`12.0`                     |
+-------------------------------+                     +------------------+----------------------------------------------------------------------+---------------------------------+
|:math:`B\text{\_}\mathit{QUAD}`|                     |'ANALYTIQUE'      |:math:`{\sigma }_{11}\mathrm{=}2.5\mathrm{\times }{10}^{5}\mathit{Pa}`|:math:`4.0`                      |
+-------------------------------+                     +------------------+----------------------------------------------------------------------+---------------------------------+
|:math:`B\text{\_}\mathit{TRIA}`|                     |'ANALYTIQUE'      |:math:`{\sigma }_{11}\mathrm{=}2.5\mathrm{\times }{10}^{5}\mathit{Pa}`|:math:`4.0`                      |
+-------------------------------+---------------------+------------------+----------------------------------------------------------------------+---------------------------------+