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Elastic waves trapped above a cylindrical cavity

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journal contribution
posted on 29.06.2018, 13:45 by Christopher Linton, Ian Thompson
The existence of trapped elastic waves above a circular cylindrical cavity in a half space is demonstrated. These modes propagate parallel to the cylinder and their amplitude decays exponentially as the observer moves away from it. Dispersion relations connecting the frequency with the wavenumber along the cylinder are obtained using an analytical technique based on multipole expansions, and solved numerically. Critical frequencies at which modes cut on and off are determined and a range of contour plots illustrating the displacement fields are presented.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

SIAM Journal on Applied Mathematics

Citation

LINTON, C.M. and THOMPSON, I., 2018. Elastic waves trapped above a cylindrical cavity. SIAM Journal on Applied Mathematics, 78(4), pp. 2083-2104

Publisher

© Society for Industrial and Applied Mathematics

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/

Acceptance date

30/05/2018

Publication date

2018

Notes

This paper was accepted for publication in the journal SIAM Journal on Applied Mathematics and the definitive published version is available at https://doi.org/10.1137/17M1155296

ISSN

1095-712X

Language

en

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