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


Geometry
---------


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Cylinder radius: :math:`r=5.999\mathrm{cm}`.

Bore radius: :math:`R=6.\mathrm{cm}`.

Position of the reference points on the contact surface: one point every three degrees of angle from the bottom up to 60°.


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

**Cylinder and bore:**


.. csv-table::

    "Young's module:", ":math:`E=2.1{10}^{11}N/{m}^{2}` ", ""
    "Poisson's ratio:", ":math:`\nu =0.3` ", ""
    "Friction coefficient:", ":math:`\mu =0.4` ", ""



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

The mass containing the bore is supposed to be infinite, its movements will be blocked (according to x and y) on a circle concentric with the bore.

The cylinder is subjected to a distributed force Q according to the thickness :math:`(z)` equal to: :math:`Q=–1875{10}^{3}N/m`.

This force is applied in an increment.