Erbas, B and Kaplunov, J and Prikazchikov, D and Sahin, O (2014) The near-resonant regimes of a moving load in a three-dimensional problem for a coated elastic half-space. Mathematics and Mechanics of Solids. ISSN 1741-3028

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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.

Item Type: Article
Additional Information: Published online before print, © The Authors, Sage Publications
Uncontrolled Keywords: 3D elasticity, moving load, Rayleigh wave, thin coating, uniform asymptotics
Divisions: Faculty of Natural Sciences > School of Computing and Maths
Depositing User: Symplectic
Date Deposited: 23 Nov 2015 11:46
Last Modified: 30 May 2016 14:03
URI: http://eprints.keele.ac.uk/id/eprint/1116

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