2. Benchmark solution#
2.1. Calculation method used for the reference solution#
Airy stress function.
2.2. Benchmark results#
\({K}_{I}\mathrm{=}{\sigma }_{0}\sqrt{({\pi }_{0})}{\mathrm{cos}}^{2}\beta\) |
\({K}_{\mathit{II}}\mathrm{=}{\sigma }_{0}\sqrt{({\pi }_{0})}\mathrm{sin}\beta \mathrm{cos}\beta\) |
\({G}_{\mathit{ref}}\mathrm{=}\frac{1}{E}({K}_{I}^{2}+{K}_{\mathit{II}}^{2})\) (in plane constraints) |
2.3. Uncertainty about the solution#
Exact analytical solution (Irwin) in an unlimited environment.
2.4. Bibliographical references#
MURAKAMI Stress Intensity Factors Handbook, box 4.2, page 188. The Society of Materials Science, Japan, Pergamon Press, 1987.