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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2022-8pp.1942-1952

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V.A. Bratov, S.V. Kuznetsov, and N.F. Morozov, "Lamb Problems and Related Problems in Dynamics: a Review," Mech. Solids. 57 (8), 1942-1952 (2022)
Year 2022 Volume 57 Number 8 Pages 1942-1952
DOI 10.3103/S0025654422080076
Title Lamb Problems and Related Problems in Dynamics: a Review
Author(s) V.A. Bratov (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199178 Russia; St. Petersburg State University, St. Petersburg, 199034 Russia; Peter the Great St. Petersburg Polytechnic University, St. Petersburg, 195251 Russia)
S.V. Kuznetsov (Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russia, kuzn-sergey@yandex.ru)
N.F. Morozov (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199178 Russia; St. Petersburg State University, St. Petersburg, 199034 Russia)
Abstract The solution to the internal and external Lamb problems originating from a concentrated force applied to the free boundary of an elastic half-space (half-plane) is analyzed. Some related problems are considered as well, in particular, the problem of application of doublets and dipoles in an elastic half-space, the appearance of high-frequency waves corresponding to a Rayleigh wave during Pochhammer–Cree wave propagation, etc. The solutions to problems of a moving load applied to the boundary of a half-space or a half-plane are analyzed.
Keywords Lamb problem, body wave, Rayleigh wave, half-space, half-plane
Received 29 March 2022Revised 05 May 2022Accepted 15 May 2022
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