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


Geometry
---------


.. image:: images/100002000000080000000800C503945D65A8A7AC.png
    :width: 4.8346in
    :height: 2.589in


.. _RefImage_100002000000080000000800C503945D65A8A7AC.png:

Length :math:`a\mathrm{=}1`


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

Isotropic elastic material:

:math:`E\mathrm{=}200000\mathit{Mpa}`

:math:`\nu \mathrm{=}0.`

:math:`\alpha \mathrm{=}1E-6\mathrm{/}°C`


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


.. csv-table::

    "Point :math:`A`:", ":math:`{u}_{x}\mathrm{=}0.`"
    "", ":math:`{u}_{y}\mathrm{=}0.`"
    "On the :math:`\mathit{AD}` side:", ":math:`{u}_{x}\mathrm{=}0.`"
    "On the :math:`\mathit{BC}` side:", ":math:`{\sigma }_{D}\mathrm{=}100\mathit{MPa}`"


Applying a temperature field that varies linearly on the element with :math:`\mathit{Tmax}\mathrm{=}1000°C`.