On the stress field singularity in an incompressible half-space weakened by two near-surface wedge-like cracks |
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Authors: | A V Loveikin A F Ulitko |
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Institution: | 1.National Taras Shevchenko Kyiv University,Kiev,Ukraine |
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Abstract: | We consider the equilibrium problem for an elastic incompressible half-space weakened by two near-surface wedge-like cracks,
whose lie in the same plane perpendicular to the half-space surface and have a common vertex. We use the Papkovich-Neuber
representation to reduce the problem to finding two harmonic functions satisfying the mixed boundary conditions. These functions
are constructed in spherical coordinates by using a Mehler-Fock type integral representation in Legendre functions. The analytic
solution thus obtained permits finding the character of the stress distribution near the common tip of the cracks. |
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