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


Geometry
---------


.. image:: images/10000200000002DF000002DA4E71ECC848ABAA59.png
    :width: 3.9366in
    :height: 3.9098in


.. _RefImage_10000200000002DF000002DA4E71ECC848ABAA59.png:

**Figure 1.1: Wheel Geometry**

Coordinates of points :math:`(m)`: :math:`C:(0.0,0.0,0.0)`

Wheel geometry :math:`(m)`:


* Diameter :math:`L`: :math:`7.75`


* thickness (along axis :math:`z`): :math:`0.09`


Elastic properties of the material
---------------------------------

A linear work hardening model is used.


* Young's module, :math:`E=7.1\times {10}^{10}\mathrm{Pa}`


* Poisson's ratio, :math:`\nu =0.3`


* Volume density, :math:`\rho =7820.0{\mathrm{kg.m}}^{-3}`


* Slope of the traction curve, :math:`{E}_{T}=0`


* Elastic limit, :math:`\sigma =1.\times {10}^{15}\mathrm{Pa}`


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


*
    *
        *
            * Imposed rotation:


*
    *
        * :math:`\omega =157{\mathrm{rad.s}}^{-1}`, center rotation :math:`C` (around the :math:`Z` axis)




*
    * Imposed travel:

BAS_NO: :math:`\mathrm{DX}=\mathrm{DY}=\mathrm{DZ}=0`