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


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

Complex potential [:ref:`bib1 <bib1>`].


Benchmark results
----------------------

:math:`\begin{array}{c}\eta \mathrm{=}\frac{\mathrm{2a}}{W}\\ \beta \mathrm{=}\frac{L}{W}\\ {K}_{\mathit{II}}\mathrm{=}\frac{{\alpha }_{11}{T}_{0}}{{S}_{11}}\mathrm{\cdot }\sqrt{\frac{W}{2}}\mathrm{\cdot }{F}_{\mathit{II}}\end{array}`

where the geometric correction factor :math:`{F}_{\mathit{II}}` is given as a function of :math:`\eta` for each material, in the particular case :math:`\beta \mathrm{=}0.5` on the curves below.

The isotropic material being represented by curve :math:`I`


.. image:: images/10044E4A00001A2600001A5B9E7CCDA236A23B45.svg
    :width: 337
    :height: 340


.. _RefImage_10044E4A00001A2600001A5B9E7CCDA236A23B45.svg:


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

Accuracy not defined.


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


1. Y. MURAKAMI: Stress Intensity Factors Handbook, box 11.17, pages 1045-1047. The Society of Materials Science, Japan, Pergamon Press, 1987.