Elastic waves trapped above a cylindrical cavity

Linton, Christopher and Thompson, I ORCID: 0000-0001-5537-450X (2018) Elastic waves trapped above a cylindrical cavity. SIAM Journal on Applied Mathematics, 78 (4). pp. 2083-2104.

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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 are solved numerically. Critical frequencies at which modes cut on and off are determined, and a range of contour plots illustrating the displacement fields is presented.

Item Type:	Article
Uncontrolled Keywords:	elastic waves, trapped modes, wave diffraction, multipole expansions
Depositing User:	Symplectic Admin
Date Deposited:	21 Jun 2018 06:28
Last Modified:	19 Jan 2023 01:31
DOI:	10.1137/17M1155296
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3022831