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


Geometry
---------


.. image:: images/10000000000001A90000011820715F75C39257AC.jpg
    :width: 4.4272in
    :height: 2.9165in


.. _RefImage_10000000000001A90000011820715F75C39257AC.jpg:


.. csv-table::

    "outer radius of the ring", ":math:`\mathrm{6,35}\mathrm{cm}`"
    "inner radius of the ring", ":math:`\mathrm{4,15}\mathrm{cm}`"
    "forced displacement", ":math:`\mathrm{4,45}\mathrm{cm}`"



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

Ring: polyurethane, law of elastic behavior.


.. csv-table::

    "Young's module:", ":math:`E=407N/{\mathrm{cm}}^{2}`"
    "Poisson's ratio:", ":math:`\nu =\mathrm{0,48}`"
    "Friction coefficient:", ":math:`\mu =\mathrm{0,4}`"



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

The constraints are flat.

An incremental imposed displacement from :math:`0` to :math:`\mathrm{4,45}\mathrm{cm}` is applied to the nodes of the non-deformable plates.

**Note on units:**

The dimensions and displacements are in centimeters so, to remain homogeneous, the pressures must be entered in :math:`N\mathrm{/}{\mathit{cm}}^{2}`.


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

None.