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


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

The reference solution comes from OLESIAK and SNEDDON [:ref:`bib1 <bib1>`]:


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    :width: 370
    :height: 245


.. _RefImage_1000074C00001CBB0000130404CBA7AA47F12067.svg:

The expression for the energy recovery rate is as follows:

:math:`G=\frac{(1-{\nu }^{2})}{E}{K}_{1}^{2}` with :math:`{K}_{1}=\frac{\alpha E}{\Pi (1-\nu )}{T}_{0}\sqrt{\Pi a}`

either:

.. image:: images/Object_2.svg
    :width: 370
    :height: 245


.. _RefImage_Object_2.svg:


Benchmark result
---------------------

So the reference result is: :math:`G=5.9115{10}^{-7}J/{m}^{2}`


Bibliographical reference
-------------------------


1. Uniform Temperature on a Penny-Shaped Crack (OLESIAK and SNEDDON (1959)), picked up in Handbook of Stress-Intensity, Factors by G.C. SIH.