2. Benchmark solution

2.1. Calculation method used for the reference solution

The reference solution comes from the collection of MURAKAMI [bib1]:

The expression for the energy recovery rate is as follows:

, with \(\eta =a/b\) and,

.

Note:

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

2.2. Benchmark result

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

2.3. Bibliographical references

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