Diffraction by a rigid strip in a plate modelled by Mindlin theory



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-.

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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
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