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


Geometry
---------

The structure is modelled axisymmetrically.


.. image:: images/100000000000027700000368F890D2E59F78C148.png
    :width: 3.2898in
    :height: 4.8201in


.. _RefImage_100000000000027700000368F890D2E59F78C148.png:

Note :math:`M` the point of the foundation located on the upper face on the axis of revolution.


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

**Foundation**:

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

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

**Hall**:

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{=}\mathrm{0,1}` **.**


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

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

The foundation is embedded at its base:


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


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

The punch is subjected to uniform pressure on its upper side:


* :math:`P=100\mathit{Mpa}`