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


Geometry
---------

The structure is modelled in plane deformations.


.. image:: images/100000000000019B000002580744CFEAB0C9D0D2.png
    :width: 3.4756in
    :height: 5.1764in


.. _RefImage_100000000000019B000002580744CFEAB0C9D0D2.png:

Note :math:`B` the point on the upper side of the block belonging to the plane of symmetry.


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

**Block**:

Poisson's ratio: :math:`\mathrm{0,3}`

Young's module: :math:`70000{\mathit{N.mm}}^{-2}`

**Cylinder**:

Poisson's ratio: :math:`\mathrm{0,3}`

Young's module: :math:`210000{\mathit{N.mm}}^{-2}`

The coefficient of friction between the block and the cylinder is :math:`\mu =\mathrm{0,1}` **.**


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

Since the structure is symmetric and subjected to a loading that respects symmetry, only one half is shown. We therefore apply :math:`\mathit{DX}=0` on the plane of symmetry.

The block is embedded at its base:


* :math:`\mathit{DX}=0`


* :math:`\mathit{DY}=0`

The cylinder is subjected to a point force at its top:


* :math:`\mathit{FY}=35\mathit{kN}`, which is :math:`\mathit{FY}=17500N` for the semi-structure