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Asymptotic Formulation for the Rayleigh Wave on a Nonlocally Elastic Half-Space

Prikazchikov, Danila A.

Vibration, 2023-01, Vol.6 (1), p.57-64 [Periódico revisado por pares]

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Título:
Asymptotic Formulation for the Rayleigh Wave on a Nonlocally Elastic Half-Space
Autor: Prikazchikov, Danila A.
Assuntos: asymptotic ; Boundary conditions ; boundary layer ; Boundary layers ; Differential equations ; Elastic half spaces ; Longitudinal waves ; nonlocal ; Operators (mathematics) ; Perturbation ; Rayleigh wave ; Rayleigh waves ; Wave propagation
É parte de: Vibration, 2023-01, Vol.6 (1), p.57-64
Descrição: 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.
Editor: Basel: MDPI AG
Idioma: Inglês

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