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Oblique Rayleigh wave scattering by a cylindrical cavity

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journal contribution
posted on 18.02.2016 by Christopher Linton, Ian Thompson
The problem of oblique wave scattering of a Rayleigh wave by a cylindrical cavity in an elastic half-space is solved using the multipole expansion method. Whereas in the analogous water-wave problem a single scalar field is expressed as an infinite multipole expansion, and in the Rayleigh wave case with normal incidence two scalar fields suffice, here we require three coupled scalar multipole expansions. The focus of our numerical results is on the energy scattered by the cavity and in particular the proportion of the incident wave energy that is reflected and transmitted in the form of Rayleigh waves and the proportion that is transformed into cylindrical bulk waves which propagate into the half-space.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS

Volume

68

Issue

3

Pages

235 - 261 (27)

Citation

LINTON, C.M. and THOMPSON, I., 2015. Oblique Rayleigh wave scattering by a cylindrical cavity. Quarterly Journal of Mechanics and Applied Mathematics, 68(3), pp. 235-261.

Publisher

© Oxford University Press.

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2015

Notes

This is a pre-copyedited, author-produced PDF of an article accepted for publication in Quarterly Journal of Mechanics and Applied Mathematics following peer review. The version of record LINTON, C.M. and THOMPSON, I., 2015. Oblique Rayleigh wave scattering by a cylindrical cavity. Quarterly Journal of Mechanics and Applied Mathematics, 68(3), pp. 235-261 is available online at: http://dx.doi.org/10.1093/qjmam/hbv006

ISSN

0033-5614

Language

en

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