Asymptotic Theory for Rayleigh and Rayleigh-Type Waves

Kaplunov, Julius; Prikazchikov, Danila A.

doi:10.1016/bs.aams.2017.01.001

Asymptotic Theory for Rayleigh and Rayleigh-Type Waves

Kaplunov, Julius; Prikazchikov, Danila A.

Authors

Julius Kaplunov j.kaplunov@keele.ac.uk

Danila Prikazchikov d.prikazchikov@keele.ac.uk

Abstract

Explicit asymptotic formulations are derived for Rayleigh and Rayleigh-type interfacial and edge waves. The hyperbolic–elliptic duality of surface and interfacial waves is established, along with the parabolic–elliptic duality of the dispersive edge wave on a Kirchhoff plate. The effects of anisotropy, piezoelectricity, thin elastic coatings, and mixed boundary conditions are taken into consideration. The advantages of the developed approach are illustrated by steady-state and transient problems for a moving load on an elastic half-space.

Acceptance Date	Apr 13, 2017
Publication Date	Apr 13, 2017
Publisher	Elsevier
Pages	1-106
Book Title	Advances in Applied Mechanics
Chapter Number	1
DOI	https://doi.org/10.1016/bs.aams.2017.01.001
Keywords	surface wave; interfacial wave; edge wave; asymptotic; moving load; near-resonant
Publisher URL	https://www.sciencedirect.com/science/article/abs/pii/S0065215617300017?via%3Dihub