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IssuesArchive of Issues2019-2pp.319-328

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M.Yu. Remizov, "Spatial Problem of Elastic Wave Penetration Across Two Parallel Double Periodic Arrays of Cracks," Mech. Solids. 54 (2), 319-328 (2019)
Year 2019 Volume 54 Number 2 Pages 319-328
DOI 10.3103/S0025654419030191
Title Spatial Problem of Elastic Wave Penetration Across Two Parallel Double Periodic Arrays of Cracks
Author(s) M.Yu. Remizov (Vorovich Institute of Mathematics, Mechanics, and Computer Sciences, Southern Federal University, Rostov-on-Don, 344058 Russia, remizov72@mail.ru)
Abstract This article discusses calculating the coefficients of reflection and transmission in the problem of a plane wave incident on a 3D system of two parallel double periodic arrays of cracks. In the low-frequency mode this problem is reduced to a set of integral equations on one selected crack. A semianalytic method developed previously for 3D scalar and planar elastic problems leads to explicit representations for wave field and scattering parameters.
Keywords coefficients of reflection and penetration, double periodic lattice, hypersingular integral equation, system of cracks, acoustic filter
Received 03 October 2017Revised 03 October 2017Accepted 03 October 2017
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