Modeling A
==============

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

3D modeling

Item MECA_HEXA8


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

Number of knots: 8

Number of meshes and types: 1 HEXA8


Tested features
-----------------------

The MAZARS_FO law of behavior combined with ELAS_FO.


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

We compare damage :math:`D` and stress :math:`{\sigma }_{\mathit{zz}}` at different times

+----------------------+-------------------------------------------------------------------------+---------------+---------------+----------------+
|**Identification**                                                                              |**Reference**  |**Aster**      |**% difference**|
+----------------------+-------------------------------------------------------------------------+---------------+---------------+----------------+
|:math:`t\mathrm{=}50` |:math:`D` :math:`{\sigma }_{\mathit{zz}}` (:math:`\mathit{MPa}`)         |0 —16.0        |0 —16.0        |2.33 10—14      |
+----------------------+-------------------------------------------------------------------------+---------------+---------------+----------------+
|:math:`t\mathrm{=}100`|:math:`D` :math:`{\sigma }_{\mathit{zz}}` (:math:`\mathit{MPa}`)         |0.1702 —26.5532|0.1702 —26.5532|0.007 6.46 10—5 |
+----------------------+-------------------------------------------------------------------------+---------------+---------------+----------------+
|t = 150               |:math:`D` :math:`{\mathrm{\sigma }}_{\mathit{zz}}` (:math:`\mathit{MPa}`)|0.4247 —30.3768|0.4247 —30.3769|—0.005 2.91 10—4|
+----------------------+-------------------------------------------------------------------------+---------------+---------------+----------------+
|t = 200               |:math:`D` :math:`{\mathrm{\sigma }}_{\mathit{zz}}` (:math:`\mathit{MPa}`)|0.4626 —29.2327|0.4625 —29.2382|—0.014 0.019    |
+----------------------+-------------------------------------------------------------------------+---------------+---------------+----------------+
|t = 250               |:math:`D` :math:`{\mathrm{\sigma }}_{\mathit{zz}}` (:math:`\mathit{MPa}`)|0.4626 —18.9153|0.4625 —18.9188|—0.014 0.019    |
+----------------------+-------------------------------------------------------------------------+---------------+---------------+----------------+
|t = 300               |:math:`D` :math:`{\mathrm{\sigma }}_{\mathit{zz}}` (:math:`\mathit{MPa}`)|0.4626 —8.5979 |0.4625 —8.5994 |—0.014 0.018    |
+----------------------+-------------------------------------------------------------------------+---------------+---------------+----------------+


note
--------

In reality, the maximum damage, i.e. :math:`0.4626`, was reached at time :math:`t\approx 180s`. Then, it no longer evolves because of the decrease in :math:`{B}_{c}` when the temperature increases.