C modeling
==============


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

We use a COQUE_SOLIDE model.


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

The mesh contains 2500 elements of type HEXA9.


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

We test the movement along the :math:`Z` axis.


+-------------------+----------------------+------------------+-------------------+-----------------------------+
|**Identification**                        |**Reference type**|**Reference value**|**Tolerance**                |
+-------------------+----------------------+                  +                   +                             +
|DEPL               |:math:`X(\mathit{cm})`|                  |                   |                             |
+-------------------+----------------------+------------------+-------------------+-----------------------------+
|:math:`\mathit{DZ}`|:math:`0.0`           |'SOURCE_EXTERNE'  |:math:`0.1033`     |:math:`\mathrm{2,6}\text{\%}`|
+-------------------+----------------------+------------------+-------------------+-----------------------------+

We test the constraints on the mesh in the center in NON_REGRESSION:


+---------------------+-------+------------------+
|**Identification**           |**Reference type**|
+---------------------+-------+                  +
|SIEF_ELGA            |       |                  |
+---------------------+-------+------------------+
|:math:`\mathit{SIXX}`|SurfinF|'NON_REGRESSION'  |
+---------------------+-------+------------------+
|:math:`\mathit{SIYY}`|SurfSup|'NON_REGRESSION'  |
+---------------------+-------+------------------+

The deformation of thermal origin is tested at the center of the mesh, on the lower skin, for which we have an analytical reference value:

.. math::
 :label: eq-1

    {\ epsilon} _ {\ mathit {ther}} =\ alpha\ mathrm {\ Delta} T=\ alpha ({T} _ {\ mathit {inf}} - {T} _ {\ mathit {ref}}) =\ mathrm {ref}}) =\ mathrm {ref}}) =\ mathrm {ref}}) =\ mathrm {6.5}\ times {10} ^ {-6}\ left (-50-20\ right) =-\ mathrm {ref}}) =\ mathrm {ref}}) =\ mathrm {ref}}) =\ mathrm {ref}}) =\ mathrm {6.5}\ times {10} ^ {-6}\ left (-50-20\ right) =-\ mathrm {ref}


+------------------+-------+------------------+--------------------------+----------------------------------------------+
|**Identification**        |**Reference type**|**Reference value**       |**Tolerance**                                 |
+------------------+-------+                  +                          +                                              +
|EPVC_ELGA         |       |                  |                          |                                              |
+------------------+-------+------------------+--------------------------+----------------------------------------------+
|EPTHER_L          |SurfinF|ANALYTIQUE        |:math:`-\mathrm{0,000455}`|:math:`<\mathrm{1,6}\times {10}^{-6}\text{\%}`|
+------------------+-------+------------------+--------------------------+----------------------------------------------+

And the equivalent deformation in on the lower skin:

+------------------+-------+------------------+
|**Identification**        |**Reference type**|
+------------------+-------+                  +
|EPEQ_ELGA         |       |                  |
+------------------+-------+------------------+
|INVA_2            |SurfinF|NON_REGRESSION    |
+------------------+-------+------------------+