Ali Mubaraki
On Rayleigh wave field induced by surface stresses under the effect of gravity
Mubaraki, Ali; Prikazchikov, Danila
Abstract
The paper is concerned with development of the asymptotic formulation for surface wave field induced by vertical surface stress under the effect of gravity in the short-wave region. The approach relies on the methodology of hyperbolic-elliptic models for the Rayleigh wave and results in a regularly perturbed hyperbolic equation on the surface acting as a boundary condition for the elliptic equation governing decay over the interior. A special value of the Poisson's ratio v = 0.25 is pointed out, at which the effect of gravity disappears at leading order.
Citation
Mubaraki, A., & Prikazchikov, D. (2022). On Rayleigh wave field induced by surface stresses under the effect of gravity. Mathematics and Mechanics of Solids, 27(9), 1771-1782. https://doi.org/10.1177/10812865221080550
Journal Article Type | Article |
---|---|
Acceptance Date | Jan 23, 2022 |
Online Publication Date | Mar 14, 2022 |
Publication Date | Mar 14, 2022 |
Journal | Mathematics and Mechanics of Solids |
Print ISSN | 1081-2865 |
Publisher | SAGE Publications |
Peer Reviewed | Peer Reviewed |
Volume | 27 |
Issue | 9 |
Pages | 1771-1782 |
DOI | https://doi.org/10.1177/10812865221080550 |
Keywords | Rayleigh wave, gravity, hyperbolic-elliptic, elastic, dispersion |
Public URL | https://keele-repository.worktribe.com/output/422785 |
Publisher URL | https://journals.sagepub.com/doi/10.1177/10812865221080550 |
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Publisher Licence URL
https://creativecommons.org/licenses/by-nc/4.0/
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