Benchmark solution
=====================


Calculation method used for the reference solution
--------------------------------------------------------

The reference solution is obtained numerically. It is therefore only a non-regression test.


Modeling results 
-----------------------------

The optimal value of the radius of curvature, complying with criterion :math:`{\sigma }_{\mathrm{mises}}<{2.10}^{9}{\mathrm{N.m}}^{-2}`, is :math:`\mathrm{1.1m}`, obtained after 5 iterations. At each iteration the radius of curvature is increased by :math:`0.2m`.


.. csv-table::

    "**Iterations**", "**Radius of curvation**", "**Max Von Mises stress**"
    "1"," :math:`0.3m` "," :math:`3.3315E+09N/{m}^{2}`"
    "2"," :math:`0.5m` "," :math:`2.7647E+09N/{m}^{2}`"
    "3"," :math:`0.7m` "," :math:`2.4256E+09N/{m}^{2}`"
    "4"," :math:`0.9m` "," :math:`2.1727E+09N/{m}^{2}`"
    "5"," :math:`1.1m` "," :math:`1.9670E+09N/{m}^{2}`"



Uncertainty about the solution
---------------------------

Non-regression solution.