General characteristics
==========================

Geometry
---------

It is a beam embedded at both ends.


.. image:: images/Shape1.gif


.. _RefSchema_Shape1.gif:


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

:math:`E=2.0\text{E+11}\mathrm{Pa}` Young's module

:math:`\nu =0.3` Poisson's ratio

:math:`\alpha =15.0\text{E-06}/°C` Expansion coefficient

:math:`D\text{\_}\mathrm{SIGM}\text{\_}\mathrm{EPSI}=2.0\text{E+09}\mathrm{Pa}` Slope of the traction curve

:math:`\mathrm{SY}=150.0\text{E+10}\mathrm{Pa}` Elasticity limit


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

Embedding at points :math:`A` and :math:`B`: :math:`\mathrm{DX}=\mathrm{DY}=\mathrm{DZ}=\mathrm{DRX}=\mathrm{DRY}=\mathrm{DRZ}=0`

Imposed temperature: :math:`T=400°C`

The imposed temperature increases linearly as a function of time.


.. image:: images/Shape2.gif


.. _RefSchema_Shape2.gif:


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

Reference temperature: :math:`0°C`