Composite wave models for elastic plates

Kaplunov

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.

Citation

Kaplunov. (2018). Composite wave models for elastic plates. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, https://doi.org/10.1098/rspa.2018.0103

• 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