Mubaraki, A and Prikazchikov, DA (2022) On Rayleigh wave field induced by surface stresses under the effect of gravity. Mathematics and Mechanics of Solids. ISSN 1081-2865

[thumbnail of MP.pdf]
MP.pdf - Accepted Version
Available under License Creative Commons Attribution Non-commercial.

Download (480kB) | Preview


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 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

Actions (login required)

View Item
View Item