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


Geometry
---------

**A**

**B**

**C**

**D**

**X**

**Y**

**Z**

**L=10m**

**l=1m**

 Thickness: :math:`\mathrm{1m}`


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

The mechanical properties are as follows:


* Young's module :math:`E\mathrm{=}3.5\mathrm{\times }{10}^{10}\mathit{Pa}`


* Poisson's ratio :math:`\mathrm{\nu }=\mathrm{0,2}`


* Density :math:`\rho \mathrm{=}2500\mathit{Kg}\mathrm{/}{m}^{3}`


* :math:`\mathrm{\alpha }=\mathit{AMOR}\text{\_}\mathit{ALPHA}=6.69\times {10}^{-5}`


* :math:`\mathrm{\beta }=\mathit{AMOR}\text{\_}\mathit{BETA}=20.06`


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


* Embedding on sides :math:`\mathit{AD}` and :math:`\mathit{BC}`: :math:`\mathit{DX}\mathrm{=}\mathit{DY}\mathrm{=}\mathit{DZ}\mathrm{=}\mathit{DRX}\mathrm{=}\mathit{DRY}\mathrm{=}\mathit{DRZ}\mathrm{=}0`;


* The pressure distributed uniformly on the beam increases linearly to :math:`0.1\mathit{ms}` and then remains constant and equal to :math:`p\mathrm{=}{10}^{5}\mathit{Pa}` until the end of the calculation (:math:`1.0\mathit{ms}`).


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

The beam is initially at rest in a pristine condition.