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Propagation of a Flat Shock Front in an Elastic Layer

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Abstract

The problem of a wave front in an anisotropic elastic layer is studied. It is shown that in the case of elastic isotropy, a uniform wave with a plane front in the layer is possible only in one particular case, at zero Poisson’s ratio. In other cases, for the existence of a wave with a flat front, the wave must be inhomogeneous with respect to the transversal coordinate. An analytical solution providing the existence of a plane shock wave front has been obtained for the first time.

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Funding

The author thanks the Russian Foundation for Basic Research (grant no. 20-08-00419) for partial financial support.

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  1. Moscow State University of Civil Engineering (MGSU), 129337, Moscow, Russia

    A. V. Ilyashenko

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  1. A. V. Ilyashenko
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Correspondence to A. V. Ilyashenko.

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Translated by M.K. Katuev

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Ilyashenko, A.V. Propagation of a Flat Shock Front in an Elastic Layer. Mech. Solids 57, 1078–1085 (2022). https://doi.org/10.3103/S002565442205020X

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