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


Geometry
---------


.. image:: images/Object_1.svg
    :width: 341
    :height: 284


.. _RefImage_Object_1.svg:

The symmetry of the problem makes it possible to model a half-cylinder of length :math:`L/2`, plugged at one of its ends, with symmetry conditions specific to the lower edge.


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

The properties of the material constituting the plate are:


.. csv-table::

    ":math:`E=2.{10}^{11}\mathrm{Pa}` ", "Young's module"
    ":math:`\nu =0.3` ", "Poisson's ratio"



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


* Charging:


* Uniformly distributed pressure of :math:`{p}_{\mathit{cr}}\mathrm{=}1.523{10}^{6}\mathit{Pa}` on the cylindrical part. This pressure corresponds to the value of the critical load,


* effort distributed over the outline of the background :math:`N\mathrm{=}0.5\mathrm{\times }R\mathrm{\cdot }{p}_{\mathit{cr}}\mathrm{=}3.8075{10}^{4}N\mathrm{/}m`.


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

Not applicable