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Explicit formulation for the Rayleigh wave field induced by surface stresses in an orthorhombic half-plane

Nobili, A.; Prikazchikov, Danila A.

Explicit formulation for the Rayleigh wave field induced by surface stresses in an orthorhombic half-plane Thumbnail


Authors

A. Nobili



Abstract

We develop an explicit asymptotic model for the Rayleigh wave field arising in case of stresses prescribed on the surface of an orthorhombic elastic half-plane. The model consists of an elliptic equation governing the behaviour within the half-plane, with boundary values given on the half-plane surface by a wave equation. Consequently, propagation along the surface is entirely accounted for by the hyperbolic equation, which, besides, may be immediately recast in terms of the associated surface displacement. The model readily solves otherwise involved dynamic problems for prescribed surface stresses, and its effectiveness is demonstrated for the classical Lamb's problem, as well as for the steady-state moving load problem. The latter example shows that the proposed model is really obtained by perturbation around the steady-state solution for a load moving at the Rayleigh speed.

Journal Article Type Article
Acceptance Date Jan 17, 2018
Publication Date Jan 17, 2018
Publicly Available Date Mar 28, 2024
Journal European Journal of Mechanics - A/Solids
Print ISSN 0997-7538
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 70
Pages 86-94
Keywords Asymptotic model; Rayleigh wave; Moving load
Publisher URL https://iris.unimore.it/handle/11380/1155335#.WsSooS7waUk

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