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


Geometry
---------


.. image:: images/v6-04-112-geom.svg
    :width: 502
    :height: 313


.. _RefImage_v6-04-112-geom.svg:

**Point coordinates:**

.. csv-table::

    "", ":math:`A` "," :math:`B` "," :math:`E` "," "," :math:`F` "," :math:`C` "," :math:`D`"
    ":math:`x` "," :math:`0.1` "," :math:`0.2` "," :math:`0.1\mathrm{\times }\mathrm{cos}(45)` "," "," :math:`0.2\mathrm{\times }\mathrm{cos}(45)` "," :math:`0.1\mathrm{\times }\mathrm{cos}(22.5)` "," :math:`0.2\mathrm{\times }\mathrm{cos}(22.5)`"
    ":math:`y` "," :math:`0` "," :math:`0` "," :math:`0.1\mathrm{\times }\mathrm{sin}(45)` "," "," :math:`0.1\mathrm{\times }\mathrm{sin}(45)` "," :math:`0.1\mathrm{\times }\mathrm{sin}(22.5)` "," :math:`0.1\mathrm{\times }\mathrm{sin}(22.5)`"
    ":math:`z` "," :math:`0` "," :math:`0` "," :math:`0` "," "," :math:`0` "," :math:`0` "," :math:`0`"



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

* Young's modulus: :math:`E\mathrm{=}{2.10}^{5}\mathit{MPa}`

* Poisson's ratio: :math:`\nu \mathrm{=}0.4999`


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

Radial displacement :math:`U_0=6.10^{-5}m` is imposed on the inner surface.