Bariş Erbaş
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
Authors
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 |
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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Publisher Licence URL
https://creativecommons.org/licenses/by/4.0/
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