Abstract
SIFs on a circular crack due to distributed tractions are given by singular integrals over the crack surface. Surrounding the singularity point by a small (almost) semicircular region, we evaluate the singular part of the integral in a universal closed form. This leads to an accurate and numerically trivial procedure. It is also extended to moderately non-circular cracks.
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Karapetian, E., Kachanov, M. On Calculation of SIFs for Circular and Moderately Non-Circular Cracks. International Journal of Fracture 92, 21–26 (1998). https://doi.org/10.1023/A:1007541916027
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DOI: https://doi.org/10.1023/A:1007541916027