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


Geometry
---------


+----------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------+
|                                                                                                                            |Face                                                                                          |
+ .. image:: images/1000000000000282000002034D164F335F836FDC.png                                                             + :math:`\mathit{YZ}`                                                                          +
|    :width: 2.7366in                                                                                                        |                                                                                              |
+    :height: 2.028in                                                                                                        +                                                                                              +
|                                                                                                                            | :math:`(\mathrm{1,3}\mathrm{,5}\mathrm{,7})`                                                 |
+                                                                                                                            +                                                                                              +
|                                                                                                                            |                                                                                              |
+----------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------+



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


.. csv-table::

    "isotropic elasticity", ":math:`E=200000\mathrm{MPa}` "," :math:`\nu =\mathrm{0,3}` ", "", ""
    "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`"



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},\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: 194
    :height: 144


.. _RefImage_100002B000000F1700000B2A927F603020249C0E.svg:


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

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