Fast and slow interaction of elastic waves with platonic clusters-Reference-Cited by-同舟云学术

Fast and slow interaction of elastic waves with platonic clusters

Published:2011-07-27 Issue:2136 Volume:467 Page:3509-3529
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Meylan Michael H.¹,McPhedran Ross C.²

Affiliation:

1. Department of Mathematics, University of Auckland, Private Bag 92019, Auckland, New Zealand

2. School of Physics, University of Sydney, Sydney 2006, Australia

Abstract

We study the scattering of elastic waves by platonic clusters in the time domain, both for plane wave excitations and for a specified initial wave profile. We show that we can use an analytical extension of our problem to calculate scattering frequencies of the solution. These allow us to calculate approximate solutions that give the flexural wave profile accurately in and around the cluster for large times. We also discuss the early-time behaviour of flexural waves in terms of the classical models of Sommerfeld and Brillouin.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2011.0234

Reference22 articles.

1. The singularity expansion method

2. Penetration of flexural waves through a periodically constrained thin elastic plate in vacuo and floating on water

3. Generalized eigenfunction method for floating bodies

4. Surface Water Waves

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