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


Geometry
---------


.. image:: images/Object_1.svg
    :width: 554
    :height: 305


.. _RefImage_Object_1.svg:

The symmetry of the problem makes it possible to model a quarter cylinder of length :math:`L`, with symmetry conditions specific to the lower edge.

:math:`L=\mathrm{2m}`

Medium radius :math:`R=\mathrm{2m}`

Thickness :math:`e=\mathrm{0.02m}`


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}_{\mathrm{cr}}=1.\mathrm{Pa}` on the cylindrical part.


* Symmetry conditions:


* on :math:`\mathrm{AB}`: DZ = 0


* on :math:`\mathrm{BC}`: DX=0


* on :math:`\mathrm{DA}`: DY=0


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

Not applicable