Kaplunov, J and Prikazchikov, D (2017) Asymptotic Theory for Rayleigh and Rayleigh-Type Waves. Advances in Applied Mechanics, 50. pp. 1-106. ISSN 0065-2156

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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.

Item Type: Article
Additional Information: This is the accepted author manuscript (AAM). The final published version (version of record) is available online via Elsevier at https://doi.org/10.1016/bs.aams.2017.01.001 Please refer to any applicable terms of use of the publisher.
Uncontrolled Keywords: surface wave; interfacial wave; edge wave; asymptotic; moving load; near-resonant
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Natural Sciences > School of Computing and Maths
Depositing User: Symplectic
Date Deposited: 24 Apr 2017 14:29
Last Modified: 06 Jun 2018 15:38
URI: http://eprints.keele.ac.uk/id/eprint/3295

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