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Erbaş, B, Kaplunov, J and Palsü, M (2019) A composite hyperbolic equation for plate extension. Mechanics Research Communications, 99. pp. 64-67. ISSN 0093-6413

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Abstract

A fourth-order inhomogeneous hyperbolic equation modeling the symmetric motion of a thin elastic plate subject to shear stresses prescribed along its faces is derived. The shortened forms of this equation govern the quasi-front, i.e. dispersive wave-front of longitudinal waves and the Rayleigh wave front at long-wave, low-frequency and short-wave, high-frequency limits, respectively. Comparison with exact plane strain solutions for both free and forced vibrations demonstrates that the derived equation is also applicable over the intermediate region where a typical wave length is of order the plate thickness.

Item Type: Article
Additional Information: This is the accepted author manuscript (AAM). The final published version (version of record) is available online via Elsevier at https://doi.org/10.1016/j.mechrescom.2019.06.008 - please refer to any applicable terms of use of the publisher.
Uncontrolled Keywords: elasticity, composite equation, asymptotic, plate extension, Rayleigh wave, quasi-front
Subjects: Q Science > QC Physics
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Depositing User: Symplectic
Date Deposited: 02 Jul 2019 08:53
Last Modified: 29 Jun 2020 01:30
URI: https://eprints.keele.ac.uk/id/eprint/6553

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