Thompson, Ian ORCID: 0000-0001-5537-450X
(2020)
Diffraction by a rigid strip in a plate modelled by Mindlin theory.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 476 (2243).
20200648-.
Text
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Abstract
We consider a plane flexural wave incident on a semi-infinite rigid strip in a Mindlin plate. The boundary conditions on the strip lead to three Wiener-Hopf equations, one of which decouples, leaving a scalar problem and a 2 × 2 matrix problem. The latter is solved using a simple method based on quadrature. The far-field diffraction coefficient is calculated and some numerical results are presented. We also show how the results reduce to the simpler Kirchhoff model in the low-frequency limit.
Item Type: | Article |
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Uncontrolled Keywords: | matrix Wiener-Hopf method, Mindlin plate, flexural waves, diffraction |
Depositing User: | Symplectic Admin |
Date Deposited: | 09 Nov 2020 09:06 |
Last Modified: | 18 Jan 2023 23:23 |
DOI: | 10.1098/rspa.2020.0648 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3106202 |