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Transient and Steady-State Dynamic Stresses Under Antiplane Deformation of Bodies with Cracks

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We propose an algorithm for the investigation of transient and steady-state stresses near a system of cracks in the space under the conditions of longitudinal shear formed in the process of wave propagation. The algorithm is based on the integral Laplace transform, the modified Prudnikov inversion formula, and the method of boundary integral equations. The characteristic features of changes in the stress intensity factors for a single crack and a system of cracks in the stage of output vibrations in the steadystate mode are established.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    T. Ya. Solyar

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  1. T. Ya. Solyar
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 55, No. 3, pp. 82–92, July–September, 2012.

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Solyar, T.Y. Transient and Steady-State Dynamic Stresses Under Antiplane Deformation of Bodies with Cracks. J Math Sci 194, 225–238 (2013). https://doi.org/10.1007/s10958-013-1522-3

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  • DOI: https://doi.org/10.1007/s10958-013-1522-3

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