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- W4313888937 abstract "This paper deals with the Rayleigh wave, propagating on a nonlocally elastic, linearly isotropic half-space, excited by a prescribed surface loading. The consideration develops the methodology of hyperbolic–elliptic models for Rayleigh and Rayleigh-type waves, and relies on the effective boundary conditions formulated recently, accounting for the crucial contributions of the nonlocal boundary layer. A slow-time perturbation scheme is established, leading to the reduced model for the Rayleigh wave field, comprised of a singularly perturbed hyperbolic equation for the longitudinal wave potential on the surface, acting as a boundary condition for the elliptic equation governing the decay over the interior. An equivalent alternative formulation involving a pseudo-differential operator acting on the loading terms, with parametric dependence on the depth coordinate, is also presented." @default.
- W4313888937 created "2023-01-10" @default.
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- W4313888937 date "2023-01-07" @default.
- W4313888937 modified "2023-09-26" @default.
- W4313888937 title "Asymptotic Formulation for the Rayleigh Wave on a Nonlocally Elastic Half-Space" @default.
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- W4313888937 doi "https://doi.org/10.3390/vibration6010005" @default.
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