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


Geometry
---------


.. image:: images/10000E68000069D5000024612FE9DC384805F819.svg
    :width: 246
    :height: 84


.. _RefImage_10000E68000069D5000024612FE9DC384805F819.svg:

Square plate **:**

Length: :math:`l=1.0m`

Thickness: :math:`e=0.1m`


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

Young's module, :math:`E=4.388{10}^{10}N/{m}^{2}`

Poisson's ratio, :math:`\nu =0.0`

Density, :math:`\rho =2500\mathrm{kg}/\mathrm{m3}`


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

On the :math:`A` side we include the movements in :math:`x` and :math:`z`, :math:`{u}_{x}={u}_{z}=0.0`, as well as the rotations, :math:`{u}_{\mathrm{Rx}}={u}_{\mathrm{Ry}}={u}_{\mathrm{Ry}}=0.0`. Then, the linear force is applied to the :math:`B` side in the :math:`(1.0\mathrm{,0}.0\mathrm{,1}.0)` direction, which is linear in time:

:math:`F(t)={F}_{0}\mathrm{.}t`

where :math:`{F}_{0}` is the amplitude, :math:`{F}_{0}=1.6166{10}^{5}N`.


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

Initially, travel and speeds were zero everywhere.