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Explicit Models for Surface, Interfacial and Edge Waves

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Dynamic Localization Phenomena in Elasticity, Acoustics and Electromagnetism

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 547))

Abstract

We derive explicit asymptotic formulations for surface, interfacial and edge waves in elastic solids. The effects of mixed boundary conditions and layered structure are incorporated. A hyperbolic-elliptic duality of surface and interfacial waves is emphasized along with a parabolic-elliptic duality of the edge bending wave on a thin elastic plate. The validity of the model for the Rayleigh wave is illustrated by several moving load problems.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Keele University, ST5 5BG, Keele, Staffordshire, UK

    Julius Kaplunov

  2. Department of Computational Mathematics and Mathematical Physics, The Bauman Moscow State Technical University, 2nd Baumanskaya str., 5, 105005, Moscow, Russian Federation

    D. A. Prikazchikov

Authors
  1. Julius Kaplunov
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  2. D. A. Prikazchikov
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Editor information

Editors and Affiliations

  1. Imperial College London, London, UK

    Richard V. Craster

  2. Keele University, Keele, UK

    Julius Kaplunov

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Kaplunov, J., Prikazchikov, D.A. (2013). Explicit Models for Surface, Interfacial and Edge Waves. In: Craster, R.V., Kaplunov, J. (eds) Dynamic Localization Phenomena in Elasticity, Acoustics and Electromagnetism. CISM International Centre for Mechanical Sciences, vol 547. Springer, Vienna. https://doi.org/10.1007/978-3-7091-1619-7_3

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  • DOI: https://doi.org/10.1007/978-3-7091-1619-7_3

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-1618-0

  • Online ISBN: 978-3-7091-1619-7

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