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


.. image:: images/Shape1.gif


.. _RefSchema_Shape1.gif:


.. image:: images/Shape2.gif


.. _RefSchema_Shape2.gif:


Geometry
---------


.. image:: images/Shape3.gif


.. _RefSchema_Shape3.gif:


.. csv-table::

    "Dot", ":math:`X(\mathit{mm})` "," :math:`Y(\mathit{mm})` "," :math:`Z(\mathit{mm})`"
    ":math:`A` ", "0", "0", "0"
    ":math:`B` ", "750", "0", "10"
    ":math:`C` ", "750", "200", "10"
    ":math:`D` ", "0", "200", "0"
    ":math:`F` ", "0", "0", "0", "20"
    ":math:`I` ", "0", "200", "20"


The :math:`z` dimension of the plate is defined by the following equation: :math:`z\mathrm{=}30\mathrm{sin}(2\pi x\mathrm{/}L)\mathrm{sin}(\pi y\mathrm{/}l)`


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

The material has an isotropic elastic behavior:


* Young's module: :math:`E\mathrm{=}204\mathrm{000.MPa}`


* Poisson's ratio: :math:`\nu \mathrm{=}0.3`


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

Boundary conditions:


* Embedding on the :math:`\mathit{GAUCHE}` side

3D modeling, SHB: 3 cases of surface loads on the :math:`\mathit{DROITE}` side:


* :math:`\mathit{fx}\text{}\mathrm{=}\text{}0.5N\mathrm{/}\mathit{mm²}`


* :math:`\mathit{fy}\text{}\mathrm{=}\text{}0.5N\mathrm{/}\mathit{mm²}`


* :math:`\mathit{fz}\text{}\mathrm{=}\mathrm{-}0.5N\mathrm{/}\mathit{mm²}`

Modeling COQUE_3D; 2 cases of linear loads on the :math:`\mathit{DROITE}` side


* :math:`\mathit{fx}\text{}\mathrm{=}\text{}10.N\mathrm{/}\mathit{mm}`


* :math:`\mathit{fz}\text{}\mathrm{=}\mathrm{-}10.N\mathrm{/}\mathit{mm}`