Lamb Problems and Related Problems in Dynamics: a Review

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...

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Veröffentlicht in:Mechanics of solids 2022-12, Vol.57 (8), p.1942-1952
Hauptverfasser: Bratov, V. A., Kuznetsov, S. V., Morozov, N. F.
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container_end_page 1952
container_issue 8
container_start_page 1942
container_title Mechanics of solids
container_volume 57
creator Bratov, V. A.
Kuznetsov, S. V.
Morozov, N. F.
description 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.
doi_str_mv 10.3103/S0025654422080076
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ispartof Mechanics of solids, 2022-12, Vol.57 (8), p.1942-1952
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source SpringerNature Journals
subjects Classical Mechanics
Dipoles
Elastic half spaces
Free boundaries
Half planes
Moving loads
Physics
Physics and Astronomy
Rayleigh waves
Wave propagation
title Lamb Problems and Related Problems in Dynamics: a Review
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