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The near-resonant regimes of a moving load in a three-dimensional problem for a coated elastic half-space

Erbaş, Bariş; Kaplunov, Julius; Prikazchikov, Danila A; Şahin, Onur

The near-resonant regimes of a moving load in a three-dimensional problem for a coated elastic half-space Thumbnail


Authors

Bariş Erbaş

Onur Şahin



Abstract

This paper deals with the three-dimensional analysis of the near-resonant regimes of a point load, moving steadily along the surface of a coated elastic half-space. The approach developed relies on a specialized hyperbolic–elliptic formulation for the wave field, established earlier by the authors. Straightforward integral solutions of the two-dimensional perturbed wave equation describing wave propagation along the surface are derived along with their far-field asymptotic expansions obtained using the uniform stationary phase method. Both sub-Rayleigh and super-Rayleigh cases are studied. It is shown that the singularities arising at the contour of the Mach cones typical of the super-Rayleigh case, are smoothed due to the dispersive effect of the coating.

Journal Article Type Article
Acceptance Date Sep 20, 2014
Online Publication Date Aug 6, 2016
Publication Date Oct 20, 2014
Publicly Available Date Mar 29, 2024
Journal Mathematics and Mechanics of Solids
Print ISSN 1081-2865
Publisher SAGE Publications
Peer Reviewed Peer Reviewed
Volume 22
Issue 1
DOI https://doi.org/10.1177/1081286514555451
Keywords 3D elasticity, moving load, Rayleigh wave, thin coating, uniform asymptotics
Publisher URL http://dx.doi.org/10.1177/1081286514555451

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