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Dynamic analysis of interacting coplanar cracks in a half space with a clamped boundary condition using boundary integral equations
Authors:V. Z. Stankevich  B. M. Stasyuk  O. M. Khai
Affiliation:(1) L"rsquo"viv Faculty of Dnipropetrovsk National University of Railway Transport, 79052 L"rsquo"viv, Ukraine;(2) "ldquo"L"rsquo"viv Politekhnika"rdquo" National University, 79013 L"rsquo"viv, Ukraine;(3) National Academy of Sciences, Institute of Applied Problems of Mechanics and Mathematics, 79060 L"rsquo"viv, Ukraine
Abstract:
The three-dimensional dynamic problem of coplanar circular cracks in an elastic half-space with a clamped boundary condition is considered. The crack faces are subjected to harmonic loads. The problem is reduced to a system of two-dimensional boundary integral equations of the type of the Helmholtz potential for unknown discontinuities in the displacements of the opposite faces of the cracks. The stress intensity factors at the crack contours are obtained and discussed.Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 1, pp. 153–159, January–February, 2005
Keywords:elastic half-space  clamped boundary  plane cracks  steady vibrations  boundary integral equations.
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