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


Geometry
----------

Point coordinates:


.. csv-table::

    "", ":math:`O` "," :math:`A` "," :math:`B` "," "," :math:`C` "," "," :math:`D` "," :math:`E` "," :math:`F`"
    ":math:`x` ", "0. ", "1. "," :math:`\sqrt{2}\mathrm{/}2` ", "0. ", "0.5", "0. ", "0.4"
    ":math:`y` ", "0. ", "0. "," :math:`\sqrt{2}/2` ", "1. ", "0. ", "0.5", "0.4"
    ":math:`z` ", "0. ", "0. ", "0. ", "0. ", "0. ", "0. ", "0."



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

:math:`E=1.\mathrm{Pa}`

:math:`\nu =0.3`

:math:`\rho \mathrm{=}1.\mathit{kg}\mathrm{/}{m}^{3}`


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

Simple press on the edge of the plate:

in all :math:`P` points such as :math:`\mathrm{OP}=R`: :math:`u=v=w=0`


.. csv-table::

    "FORCE_COQUE ", "Uniform pressure", ":math:`P=1N/{m}^{2}`"
    "FORCE_COQUE ", "Normal distributed load", ":math:`\mathrm{F3}=–1N/{m}^{2}`"
    "PESANTEUR "," :math:`g=10m/{s}^{2}` next :math:`Z` from where", ":math:`\mathrm{FZ}=\rho gt=–1N/{m}^{2}`"


These three charges lead to the same solution.