Asymptotic Theory for Rayleigh and Rayleigh-Type Waves

Kaplunov, Julius; Prikazchikov, Danila A.

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.

Citation

Kaplunov, J., & Prikazchikov, D. A. (2017). Asymptotic Theory for Rayleigh and Rayleigh-Type Waves. In Advances in Applied Mechanics (1-106). Elsevier. https://doi.org/10.1016/bs.aams.2017.01.001

• 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