Benchmark solution
=====================


Calculation method
------------------

It involves calculating the response of a plate subjected to harmonic pressure on one side of the plate and embedded on the opposite side.

The reference solution is obtained by performing a transient response calculation with the operator DYNA_VIBRA using the Newmark integration diagram with the parameters :math:`\mathit{alpha}\mathrm{=}0.25` and :math:`\mathit{delta}\mathrm{=}0.5`.


Reference quantities and results
------------------------

It is proposed to test the following quantities:


* Move next :math:`x` to coordinate point :math:`(0.0816,0.165)`


* Stress and deformation at the Gauss point of a cell containing the coordinate node :math:`(0.3383,0.39)`


* Stress and deformation at coordinate node :math:`(0.3383,0.39)`


Uncertainties about the solution
----------------------------

The regime is considered to be established after 90 periods. The reference values used are those recorded over the 98th and 99th periods of the transitory response.