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


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

:math:`E=200000\mathrm{MPa}`

:math:`\nu =0.3`


.. image:: images/Object_1.svg
    :width: 111
    :height: 24


.. _RefImage_Object_1.svg:

for the :math:`I` models.


Geometric characteristics
-----------------------------

We note:


1.

    .. image:: images/Object_2.svg
        :width: 111
        :height: 24


    .. _RefImage_Object_2.svg:

the inner radius of the cylinder;


2.

    .. image:: images/Object_3.svg
        :width: 111
        :height: 24


    .. _RefImage_Object_3.svg:

the external radius of the cylinder;


3. :math:`R=1m` the mean radius of the cylinder equal to the half-sum of the two previous radii;


4.

    .. image:: images/Object_5.svg
        :width: 111
        :height: 24


    .. _RefImage_Object_5.svg:

the radial thickness of the cylinder;


5.

    .. image:: images/Object_6.svg
        :width: 111
        :height: 24


    .. _RefImage_Object_6.svg:

the height of the cylinder.


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

Dirichlet conditions

DDL_IMPO, blocked nodes depend on modeling.

pressure on shell and plate elements: :math:`P=10\mathrm{MPa}` on the cylinder

PRES_REP

FORCE_COQUE (real or given by a function)