Modélisation A
==============


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

On utilise une modélisation 3D.


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

Le maillage contient 54 éléments du type QUAD4 et 27 éléments du type HEXA8, pour un total de 64 nœuds.


Grandeurs testées et résultats
------------------------------

On teste les valeurs des grandeurs DOM_LEM.


+--------------------+---------------------------------+---------------------------------------------------+
| **Identification** | **Référence**                   | :math:`\text{\%}` **Tolérance**                   |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
|                    | :math:`s=0.8` | :math:`s=1.003` | :math:`s=0.8`                   | :math:`s=1.003` |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 1 Dommage    | 0,0000000     | 0,0000000       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 2 Dommage    | 0,0000000     | 0,0000000       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 3 Dommage    | 0,0000000     | 0,0000000       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 4 Dommage    | 0,0000000     | 0,0000000       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 5 Dommage    | 0,0000000     | 0,0000000       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 6 Dommage    | 0,0000000     | 0,0000000       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 7 Dommage    | 0,0000000     | 0,0000000       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 8 Dommage    | 0,0000000     | 0,0000000       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 9 Dommage    | 0,0000000     | 0,0000000       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 10 Dommage   | 0,0000000     | 0,0000000       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 11 Dommage   | 0,0000000     | 0,0000000       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 12 Dommage   | 0,0000000     | 0,0000000       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 13 Dommage   | 0,0000000     | 0,0000000       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 14 Dommage   | 0,0000000     | 0,0000000       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 15 Dommage   | 0,0054373     | 0,0319264       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 16 Dommage   | 0,0275450     | 0,1903340       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 17 Dommage   | 0,0675939     | 1,0000000       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 18 Dommage   | 0,1215430     | 1,0000000       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 19 Dommage   | 0,1873180     | 1,0000000       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+
| Point 20 Dommage   | 0,2662020     | 1,0000000       | 0.001                           | 0.001           |
+--------------------+---------------+-----------------+---------------------------------+-----------------+

On calcule le taux de triaxialité des contraintes, la contrainte équivalente d'endommagement, et l'endommagement de Lemaître au premier point de Gauss de la maille :math:`{M}_{1}` :


.. csv-table::

    "**Identification**", "**Composante**", "**Incrément**", "**Référence**
    **(NON_REGRESSION)**", "**Tolérance (** :math:`\text{\%}` **)**"
    "ENDO_ELGA", "TRIAX", "15", "0.333333", "0.1"
    "ENDO_ELGA", "SI_ENDO", "15", "1.06433 10–8", "0.1"
    "ENDO_ELGA", "COENDO", "15", "5.65806 103", "0.1"
    "ENDO_ELGA", "DOM_LEM", "15", "5.43728 10–3", "0.1"