Mubaraki, A and Prikazchikov, DA ORCID: https://orcid.org/0000-0001-7682-3079 (2022) On Rayleigh wave field induced by surface stresses under the effect of gravity. Mathematics and Mechanics of Solids.

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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.

Item Type: Article
Additional Information: The final version of this accepted manuscript is available directly from the publishers at https://journals.sagepub.com/doi/10.1177/10812865221080550. Please refer to any relevant terms and conditions.
Uncontrolled Keywords: Rayleigh wave, gravity, hyperbolic-elliptic, elastic, dispersion
Subjects: Q Science > Q Science (General)
Divisions: Faculty of Natural Sciences > School of Chemical and Physical Sciences
Depositing User: Symplectic
Date Deposited: 28 Mar 2022 07:23
Last Modified: 29 Apr 2022 13:27
URI: https://eprints.keele.ac.uk/id/eprint/10785

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