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Two Cracks Emerging from a Single Point, under the Influence of a Longitudinal Shear Wave

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Abstract

The problem of determining the dynamic stress intensity coefficients for two cracks emerging from a single point is solved. The cracks are affected by a longitudinal shear wave. The original problem is reduced to solving a system of two singular integro-differential equations with fixed singularities. For an approximate solution of this system, a numerical method is proposed that takes into account the real asymptotics of the unknown functions and uses special quadrature formulas for singular integrals.

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Authors and Affiliations

  1. Odessa National Maritime Academy, ul. Didrikhsona 8, Odessa, 65029, Ukraine

    V. G. Popov

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  1. V. G. Popov
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Correspondence to V. G. Popov.

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Original Russian Text © V.G. Popov, 2018, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2018, No. 2, pp. 91–100.

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Popov, V.G. Two Cracks Emerging from a Single Point, under the Influence of a Longitudinal Shear Wave. Mech. Solids 53, 195–202 (2018). https://doi.org/10.3103/S0025654418020103

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  • DOI: https://doi.org/10.3103/S0025654418020103

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