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On Rayleigh wave field induced by surface stresses under the effect of gravity

Prikazchikov, Danila; Mubaraki, Ali

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Authors

Ali Mubaraki



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

Prikazchikov, D., & Mubaraki, A. (2022). On Rayleigh wave field induced by surface stresses under the effect of gravity. Mathematics and Mechanics of Solids, 27(9), https://doi.org/10.1177/10812865221080550

Journal Article Type Article
Acceptance Date Jan 23, 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
DOI https://doi.org/10.1177/10812865221080550
Keywords Rayleigh wave, gravity, hyperbolic-elliptic, elastic, dispersion
Publisher URL https://journals.sagepub.com/doi/10.1177/10812865221080550

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