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Title: Elastic waves trapped above a cylindrical cavity
Authors: Linton, C.M.
Thompson, Ian
Keywords: Elastic waves
Trapped modes
Wave diffraction
Multipole expansions
Issue Date: 2018
Publisher: © Society for Industrial and 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
Abstract: 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.
Description: 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
Version: Accepted for publication
DOI: 10.1137/17M1155296
URI: https://dspace.lboro.ac.uk/2134/33624
Publisher Link: https://doi.org/10.1137/17M1155296
ISSN: 1095-712X
Appears in Collections:Published Articles (Maths)

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