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


Geometry
---------

It is a circular plate with radius :math:`\mathit{OA}\mathrm{=}100\mathit{mm}`, with a crack inclined 30 degrees to the abscissa axis.


.. image:: images/10001E9A00001E2E00001E98587B639E42EB891B.svg
    :width: 389
    :height: 394


.. _RefImage_10001E9A00001E2E00001E98587B639E42EB891B.svg:


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

The characteristics of the material are as follows:

:math:`E\mathrm{=}200000\mathit{MPa}`

:math:`\nu \mathrm{=}0.3`


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

The movements are imposed on the outline of the plate. They come from the singular analytical solution in mixed mode (with :math:`{K}_{I}=2.` and :math:`{K}_{\mathrm{II}}=1.`).