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


Geometry
---------


.. image:: images/Shape1.gif


.. _RefSchema_Shape1.gif:


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


* Steel


* :math:`E\mathrm{=}\mathrm{2x1011}\mathit{MPa}`


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


* :math:`\rho \mathrm{=}7800\mathit{kg}\mathrm{/}{m}^{3}`


Boundary conditions
----------------------

Calculating kinetic energy from speed :math:`{E}_{c}\mathrm{=}\frac{1}{2}{V}^{T}MV`:


* A uniform speed is imposed:


* to :math:`t\mathrm{=}\mathrm{1s}`: next :math:`X` of :math:`1.5m\mathrm{/}s`


* to :math:`t\mathrm{=}\mathrm{2s}`: following :math:`X` of :math:`1.5m\mathrm{/}s` and following :math:`Y` of :math:`2.5m\mathrm{/}s`


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

None.