Reference problem
=====================


Geometry
---------


.. image:: images/100015C8000032F40000170CC4935331C192256E.svg
    :width: 657
    :height: 297


.. _RefImage_100015C8000032F40000170CC4935331C192256E.svg:


Material properties
-----------------------


+----------------------+--------------------------------------------+-------------------------------------+---------------------------------+------------------+
|isotropic elasticity  |:math:`E=200000\mathrm{MPa}`                |:math:`\nu =\mathrm{0,3}`            |                                 |                  |
+----------------------+--------------------------------------------+-------------------------------------+---------------------------------+------------------+
|Saïd Taheri plasticity|:math:`{C}_{\mathrm{inf}}=0.065\mathrm{MPa}`|:math:`{C}_{1}=-0.012\mathrm{Mpa}`   |:math:`s=450`                    |:math:`b=30`      |
+----------------------+--------------------------------------------+-------------------------------------+---------------------------------+------------------+
|                      |:math:`m=0.1`                               |:math:`a=312`                        |:math:`\alpha =0.3`              |:math:`{R}_{o}=72`|
+----------------------+--------------------------------------------+-------------------------------------+---------------------------------+------------------+
|Viscosity: LEMAITRE   |:math:`N=11`                                |:math:`\text{UN\_SUR\_K}=3.28410E-04`|:math:`\text{UN\_SUR\_M}=0.17857`                   |
+----------------------+--------------------------------------------+-------------------------------------+---------------------------------+------------------+


Boundary conditions and loads
-------------------------------------


.. csv-table::

    ":math:`\mathrm{N04}` "," :math:`\mathrm{dx}=\mathrm{dy}=0` ", "Face :math:`\mathrm{YZ}`:", ":math:`\mathrm{FX}=\mathrm{FY}=-F(t)`"
    ":math:`\mathrm{N08}` "," :math:`\mathrm{dx}=\mathrm{dy}=\mathrm{dz}=0` ", "Face :math:`\mathrm{XZ}`:", ":math:`\mathrm{FX}=-F(t)`"
    ":math:`\mathrm{N02}`, :math:`\mathrm{N06}` "," :math:`\mathrm{dx}=0` ", "Face :math:`\mathrm{1YZ}`:", ":math:`\mathrm{FY}=F(t)`"
    "", "", "Face :math:`\mathrm{1XZ}`:", ":math:`\mathrm{FX}=F(t)`"



.. image:: images/100002B000000F1700000B2A927F603020249C0E.svg
    :width: 657
    :height: 297


.. _RefImage_100002B000000F1700000B2A927F603020249C0E.svg:


Initial conditions
--------------------

Zero stresses and deformations at :math:`t=0`.