Danila Prikazchikov d.prikazchikov@keele.ac.uk
Asymptotic Formulation for the Rayleigh Wave on a Nonlocally Elastic Half-Space
Prikazchikov, Danila A.
Authors
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.
Citation
Prikazchikov, D. A. (2023). Asymptotic Formulation for the Rayleigh Wave on a Nonlocally Elastic Half-Space. Vibration, 6(1), 57-64. https://doi.org/10.3390/vibration6010005
Journal Article Type | Article |
---|---|
Acceptance Date | Jan 4, 2023 |
Online Publication Date | Jan 7, 2023 |
Publication Date | Jan 7, 2023 |
Journal | Vibration |
Print ISSN | 2571-631X |
Publisher | MDPI |
Peer Reviewed | Peer Reviewed |
Volume | 6 |
Issue | 1 |
Pages | 57-64 |
DOI | https://doi.org/10.3390/vibration6010005 |
Keywords | Rayleigh wave; nonlocal; boundary layer; asymptotic |
Public URL | https://keele-repository.worktribe.com/output/425383 |
Publisher URL | https://www.mdpi.com/2571-631X/6/1/5 |
Files
vibration-06-00005-v2.pdf
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Publisher Licence URL
https://creativecommons.org/licenses/by/4.0/
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