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Erbaş, B, Kaplunov, J ORCID: https://orcid.org/0000-0001-7505-4546 and Palsü, M
(2019)
A composite hyperbolic equation for plate extension.
Mechanics Research Communications, 99.
pp. 64-67.
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1-s2.0-S0093641319300436-main.pdf - Accepted Version Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (481kB) | Preview |
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 |
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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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