On the existence of high-frequency boundary resonances in layered elastic media

Kirill Cherednichenko, Shane Cooper

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2 Citations (Scopus)
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Abstract

We analyse the asymptotic behaviour of high-frequency vibrations of a three-dimensional layered elastic medium occupying the domain Ω=(−a,a)3, a>0. We show that in both cases of stress-free and zero-displacement boundary conditions on the boundary of Ω a version of the boundary spectrum, introduced in Allaire and Conca (1998 J. Math. Pures. Appl. 77, 153–208. (doi:10.1016/S0021-7824(98)80068-8)), is non-empty and part of it is located below the Bloch spectrum. For zero-displacement boundary conditions, this yields a new type of surface wave, which is absent in the case of a homogeneous medium.
Original languageEnglish
Pages (from-to)1 - 16
Number of pages16
JournalProceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences
Volume471
Issue number2178
Early online date8 Jun 2015
DOIs
Publication statusPublished - 8 Jun 2015

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