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Composite wave models for elastic plates

Kaplunov

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Abstract

The long-term challenge of formulating an asymptotically motivated wave theory for elastic plates is addressed. Composite two-dimensional models merging the leading or higher-order parabolic equations for plate bending and the hyperbolic equation for the Rayleigh surface wave are constructed. Analysis of numerical examples shows that the proposed approach is robust not only at low- and high-frequency limits but also over the intermediate frequency range.

Acceptance Date May 16, 2018
Publication Date Jun 30, 2018
Journal Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Print ISSN 1364-5021
Publisher The Royal Society
DOI https://doi.org/10.1098/rspa.2018.0103
Keywords elastic plate, compostite, asymptotic, Rayleigh wave, hyperboliv equation
Publisher URL https://doi.org/10.1098/rspa.2018.0103

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