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

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.

Citation

Erbaş, B., Kaplunov, J., Prikazchikov, D. A., & Şahin, 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, 22(1), https://doi.org/10.1177/1081286514555451

• 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
• Electronic ISSN: 1741-3028
• 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
• Public URL: https://keele-repository.worktribe.com/output/404945
• Publisher URL: http://dx.doi.org/10.1177/1081286514555451