The near-resonant regimes of a moving load in a three-dimensional problem for a coated elastic half-space
- 20 October 2014
- journal article
- research article
- Published by SAGE Publications in Mathematics and Mechanics of Solids
- Vol. 22 (1), 89-100
- https://doi.org/10.1177/1081286514555451
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.Keywords
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