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

Kirill Cherednichenko | Zendy; Shane Cooper | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Kirill Cherednichenko,

Shane Cooper

Publication year - 2015

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2014.0878

Subject(s) - boundary (topology) , displacement (psychology) , boundary value problem , homogeneous , mathematical analysis , physics , vibration , zero (linguistics) , domain (mathematical analysis) , spectrum (functional analysis) , mathematics , mathematical physics , geometry , quantum mechanics , psychology , linguistics , philosophy , psychotherapist , thermodynamics

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research