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

Prikazchikov, Danila; Mubaraki, Ali

doi:10.1177/10812865221080550

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

Prikazchikov, Danila; Mubaraki, Ali

Authors

Danila Prikazchikov d.prikazchikov@keele.ac.uk

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.

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