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


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

Modeling is COQUE_3D.

The model consists of:


* 662 elements,


* 2267 knots,

of which:


* 462 triangles with 7 knots,


* 200 quadrilaterals with 9 knots.

Edges :math:`\mathrm{AB}`, :math:`\mathrm{BC}`, :math:`\mathrm{CD}`, and :math:`\mathrm{DA}` are embedded.

The plate is subjected to a temperature gradient of :math:`100°C` in thickness. This gradient is uniform across the plate.


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

We're testing moments :math:`\mathrm{MXX}` and :math:`\mathrm{MYY}`. These values are given in the coordinate system local to the plate, chosen parallel to the sides.

So we have: :math:`\mathrm{MXX}=\mathrm{MYY}=M=–\mathrm{2,38095}{10}^{3}N` as the moment is uniform in the plate, all we have to do is test the maximum and minimum values of the moments and check that they are both equal to :math:`M`:


+----------------------------------------------+----------------------------+------------------+-------------+-----------------+
|                                              |**Identification**          |**Reference type**|**Reference**|**Tolerance (%)**|
+----------------------------------------------+----------------------------+------------------+-------------+-----------------+
|**Efforts obtained by** **EFGE_ELNO** ****: **|:math:`\mathrm{MXX}` Maximum|'ANALYTIQUE'      |—2,38095 103 |0.1              |
+                                              +----------------------------+------------------+-------------+-----------------+
|                                              |:math:`\mathrm{MXX}` Minimum|'ANALYTIQUE'      |—2,38095 103 |0.1              |
+                                              +----------------------------+------------------+-------------+-----------------+
|                                              |:math:`\mathrm{MYY}` Maximum|'ANALYTIQUE'      |—2,38095 103 |0.1              |
+                                              +----------------------------+------------------+-------------+-----------------+
|                                              |:math:`\mathrm{MYY}` Minimum|'ANALYTIQUE'      |—2,38095 103 |0.1              |
+----------------------------------------------+----------------------------+------------------+-------------+-----------------+