Modélisation A
==============


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

**3D (HEXA8)**


.. image:: images/Object_3.svg
    :width: 525
    :height: 293


.. _RefImage_Object_3.svg:


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


.. csv-table::

    "Nombre de nœuds:", "343"
    "Nombre de mailles et types:", "216 HEXA8 (et 216 QUAD8)"



Remarques
---------

La chaleur volumique :math:`\rho {C}_{P}` n'intervient pas dans ce test, mais doit être déclarée pour *Code_Aster* . On prend :math:`\rho {C}_{P}=1.0J/{m}^{\mathrm{3 }}°C` .


Valeurs testées
---------------


+--------------------------------------------+---------------+
| **Identification**                         | **Référence** |
+--------------------+-----------------------+---------------+
| **Point**          | **Nœud**              | :math:`T(°C)` |
+--------------------+-----------------------+---------------+
| :math:`O`          | :math:`\mathit{N169}` | 22.5          |
+--------------------+-----------------------+---------------+
| :math:`A`          | :math:`\mathit{N5}`   | 35.0          |
+--------------------+-----------------------+---------------+
| :math:`B`          | :math:`\mathit{N301}` | 26.0          |
+--------------------+-----------------------+---------------+
| :math:`C`          | :math:`\mathit{N337}` | 10.0          |
+--------------------+-----------------------+---------------+
| :math:`D`          | :math:`\mathit{N49}`  | 19.0          |
+--------------------+-----------------------+---------------+
| :math:`E`          | :math:`\mathit{N151}` | 30.5          |
+--------------------+-----------------------+---------------+
| :math:`F`          | :math:`\mathit{N316}` | 18.0          |
+--------------------+-----------------------+---------------+
| :math:`G`          | :math:`\mathit{N196}` | 14.5          |
+--------------------+-----------------------+---------------+
| :math:`H`          | :math:`\mathit{N24}`  | 27.0          |
+--------------------+-----------------------+---------------+
| :math:`I`          | :math:`\mathit{N1}`   | 29.0          |
+--------------------+-----------------------+---------------+
| :math:`J`          | :math:`\mathit{N298}` | 20.0          |
+--------------------+-----------------------+---------------+
| :math:`K`          | :math:`\mathit{N340}` | 4.0           |
+--------------------+-----------------------+---------------+
| :math:`L`          | :math:`\mathit{N44}`  | 13.0          |
+--------------------+-----------------------+---------------+
| :math:`M`          | :math:`\mathit{N172}` | 16.5          |
+--------------------+-----------------------+---------------+
| :math:`N`          | :math:`\mathit{N2}`   | 41.0          |
+--------------------+-----------------------+---------------+
| :math:`P`          | :math:`\mathit{N297}` | 32.0          |
+--------------------+-----------------------+---------------+
| :math:`Q`          | :math:`\mathit{N338}` | 16.0          |
+--------------------+-----------------------+---------------+
| :math:`R`          | :math:`\mathit{N43}`  | 25.0          |
+--------------------+-----------------------+---------------+
| :math:`S`          | :math:`\mathit{N173}` | 28.5          |
+--------------------+-----------------------+---------------+


.. csv-table::

    "**Point**", "**Maille**", "**Nœud**", ":math:`\phi (W/{m}^{2})`"
    ":math:`{\phi }_{x}` :math:`K`", ":math:`\mathit{M211}`", ":math:`\mathit{N340}`", "45.0"
    ":math:`{\phi }_{x}` :math:`F`", ":math:`\mathit{M201}`", ":math:`\mathit{N316}`", "45.0"
    ":math:`{\phi }_{x}` :math:`O`", ":math:`\mathit{M129}`", ":math:`\mathit{N169}`", "45.0"
    ":math:`{\phi }_{y}` :math:`K`", ":math:`\mathit{M211}`", ":math:`\mathit{N340}`", "60.0"
    ":math:`{\phi }_{y}` :math:`F`", ":math:`\mathit{M201}`", ":math:`\mathit{N316}`", "60.0"
    ":math:`{\phi }_{y}` :math:`O`", ":math:`\mathit{M129}`", ":math:`\mathit{N169}`", "60.0"
    ":math:`{\phi }_{z}` :math:`K`", ":math:`\mathit{M211}`", ":math:`\mathit{N340}`", "30.0"
    ":math:`{\phi }_{z}` :math:`F`", ":math:`\mathit{M201}`", ":math:`\mathit{N316}`", "30.0"
    ":math:`{\phi }_{z}` :math:`O`", ":math:`\mathit{M129}`", ":math:`\mathit{N169}`", "30.0"



.. csv-table::

    "**Face**", "**Flux normal résultant** :math:`{\int}_{\mathit{face}}\varphi .n\mathit{dS}` **(** :math:`W` **)**"
    ":math:`y=0.1`", "-60.0"


**Tests du champ d'énergie thermique** ETHE_ELEM **:**

Matériau isotrope


.. csv-table::

    "**Maille**", "**Valeur de référence**", "**Précision (en %)**", "**Référence**"
    ":math:`\mathit{M109}`", ":math:`-170,1559513297`", ":math:`0,1`", "AUTRE_ASTER"


Matériau orthotrope


.. csv-table::

    "**Maille**", "**Valeur de référence**", "**Précision (en %)**", "**Référence**"
    ":math:`\mathit{M109}`", ":math:`-332,36296035464`", ":math:`\mathrm{1,0E-04}`", "NON_REGRESSION"