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


Geometry
---------

Consider a cylinder with an average radius :math:`5m`, a thickness :math:`t\mathrm{=}0.25m` and a length :math:`L\mathrm{=}10m`. The geometric dimensions chosen allow the free edge effects to be overlooked in :math:`y\mathrm{=}\mathrm{\pm }L\mathrm{/}2` (in axisymmetric, :math:`L` must check: :math:`\frac{1}{2}L>3\sqrt{\text{Rt}}\mathrm{=}3m`).


.. image:: images/Object_16.png
    :width: 4.3043in
    :height: 3.3437in


.. _RefSchema_Object_16.png:


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

Isotropic elastic material is characterized by the following properties:


* :math:`E=1\mathit{Pa}`


* :math:`\nu =0.3`


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

The vertical cylinder is subjected to a constant internal pressure :math:`p=1\mathit{Pa}` on part :math:`y\le 0`, and zero on :math:`y>0`. A vertical displacement :math:`{u}_{y}=0` is imposed at point :math:`A`.


.. image:: images/10000200000000A7000000AD6557A1ADC056A40B.png
    :width: 3.3929in
    :height: 3.5291in


.. _RefImage_10000200000000A7000000AD6557A1ADC056A40B.png: