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Stress State of an Elastic Body with Rigid Inclusion in the Form of a Broken Line Under Harmonic Wave Loads

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We solve the problem of determination of the stress state formed in the vicinity of a tunnel rigid inclusion with cross section in the form of a broken line. The inclusion is located in the elastic space. It is assumed that plane harmonic longitudinal shear waves propagate in this space. The problem is reduced to a system of singular integral equations with fixed singularities. This system is solved approximately with the help of a numerical method with the use of the true asymptotics of unknown functions and special quadrature formulas for singular integrals.

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Authors and Affiliations

  1. “Odessa Maritime Academy” National University, Odessa, Ukraine

    V. G. Popov & O. V. Lytvyn

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  1. V. G. Popov
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  2. O. V. Lytvyn
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Correspondence to V. G. Popov.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 62, No. 3, pp. 38–47, July–September, 2019.

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Popov, V.G., Lytvyn, O.V. Stress State of an Elastic Body with Rigid Inclusion in the Form of a Broken Line Under Harmonic Wave Loads. J Math Sci 263, 39–51 (2022). https://doi.org/10.1007/s10958-022-05905-w

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  • DOI: https://doi.org/10.1007/s10958-022-05905-w

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