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


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

The reference solution comes from the collection of MURAKAMI [:ref:`bib1 <bib1>`]:


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    :height: 245


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The expression for the energy recovery rate is as follows:


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, with :math:`\eta =a/b` and,


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    :height: 245


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.

**Note:**

*For* :math:`\eta =0` *(infinite medium), the solution is accurate. For a finite medium, uncertainty about the solution is unknown. In this test,* :math:`\eta =1/30` *.*


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

So the reference result is: :math:`{K}_{I}=157.73{10}^{3}\mathit{Pa}{m}^{1/2}` and :math:`G=1.132{10}^{-1}J/{m}^{2}`


Bibliographical references
---------------------------


1. Stress Intensity Factors Handbook (Y. MURAKAMI), case 11.39, pp.1089-1090, the Society of Material Science, Japan, Pergamon Press, 1987.