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


Geometry
---------

Square plate


.. image:: images/10000B38000014C60000103A0EC8987E1C654415.svg
    :width: 268
    :height: 209


.. _RefImage_10000B38000014C60000103A0EC8987E1C654415.svg:


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

Isotropic elasticity

:math:`E\mathrm{=}195000\mathit{MPa}`

:math:`\nu \mathrm{=}0.3`

Elasto-viscoplastic behavior relationship.

:math:`\eta \mathrm{=}600{\mathit{MPa.s}}^{n}`

:math:`n\mathrm{=}3.5`

:math:`{\sigma }_{c}\mathrm{=}0.\mathit{MPa}`

:math:`c\mathrm{=}0.` (no viscous restoration of work hardening)

:math:`m\mathrm{=}20.`


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

In :math:`A`: :math:`{u}_{x}\mathrm{=}{u}_{y}\mathrm{=}0`

On the :math:`\mathit{AB}` side: :math:`{u}_{x}\mathrm{=}0`

A temperature :math:`T\mathrm{=}750°C` is uniformly imposed on the structure

and TRC is such that the metallurgical state corresponding to this temperature is :math:`\text{100\%}` ferritic.

Loading:

Route :math:`\mathit{OA}` below from :math:`t\mathrm{=}0` to :math:`t\mathrm{=}10s` then stay in :math:`A` until :math:`t\mathrm{=}60s`


.. image:: images/10000ADE000011E100001020C807236E9227DE14.svg
    :width: 268
    :height: 209


.. _RefImage_10000ADE000011E100001020C807236E9227DE14.svg: