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


Reference:

Cherednichenko, K. and Cooper, S., 2015. On the existence of high-frequency boundary resonances in layered elastic media. Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences, 471 (2178), 1 - 16.

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    Official URL:

    http://dx.doi.org/10.1098/rspa.2014.0878

    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.

    Details

    Item Type Articles
    CreatorsCherednichenko, K.and Cooper, S.
    DOI10.1098/rspa.2014.0878
    DepartmentsFaculty of Science > Mathematical Sciences
    RefereedYes
    StatusPublished
    ID Code46032

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