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

Prikazchikov, Danila; Mubaraki, Ali

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