Abstract
The article is devoted to the derivation of analytical expressions for the reflection and propagation coefficients, when a plane longitudinal wave falls on a system of a finite number of consecutively located identical flat gratings, each of which consists of a periodic array of rectilinear cracks in an elastic isotropic medium. The problem is solved in a flat statement. In the mode of single-mode frequency range, the problem is reduced to a system of hypersingular integral equations, the solution of which gives the reflection and propagation coefficients, as well as the representation of the wave field inside the medium.
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Original Russian Text © M.Yu. Remizov, M.A. Sumbatyan, 2018, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2018, No. 3, pp. 67–80.
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Remizov, M.Y., Sumbatyan, M.A. One-Mode Propagation of Elastic Waves through a Doubly Periodic Array of Cracks. Mech. Solids 53, 295–306 (2018). https://doi.org/10.3103/S0025654418070099
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DOI: https://doi.org/10.3103/S0025654418070099