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


Geometry
---------


.. image:: images/Shape1.gif


.. _RefSchema_Shape1.gif:


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

Young's module: :math:`E=2.1{10}^{11}N/{m}^{2}`

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

Density: :math:`\rho =7800.\mathrm{kg}/{m}^{3}`


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

A horizontal displacement :math:`{u}_{x}=0.0` is imposed on the face :math:`\mathrm{surf1}`.

A :math:`{u}_{y}=0.0` displacement is imposed on the nodes located on the central line of the upper face and on the central line of the lower face.

A :math:`{u}_{z}=0.0` displacement is imposed on the nodes that are located on the central lines of the lateral faces.

A surface force :math:`{F}_{B}` is applied to the face :math:`\mathrm{surf2}` in the direction :math:`x`,

:math:`{F}_{B}=1000.N/{m}^{2}`,

These boundary conditions make it possible to obtain a behavior of the beam under simple tension.


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

Not applicable