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Wave Propagation in Microstretch Thermoelastic Plate Bordered with Layers of Inviscid Liquid

Rajneesh Kumar (Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India)
Geeta Partap (Department of Mathematics, National Institute of Technology, Jalandhar, Punjab, India)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 1 February 2009

131

Abstract

The propagation of free vibrations in microstretch thermoelastic homogeneous isotropic, thermally conducting plate bordered with layers of inviscid liquid on both sides subjected to stress free thermally insulated and isothermal conditions is investigated in the context of Lord and Shulman (L‐S) and Green and Lindsay (G‐L) theories of thermoelasticity. The secular equations for symmetric and skewsymmetric wave mode propagation are derived. The regions of secular equations are obtained and short wavelength waves of the secular equations are also discussed. At short wavelength limits, the secular equations reduce to Rayleigh surface wave frequency equations. Finally, the numerical solution is carried out for magnesium crystal composite material plate bordered with water. The dispersion curves for symmetric and skew‐symmetric wave modes are computed numerically and presented graphically.

Keywords

Citation

Kumar, R. and Partap, G. (2009), "Wave Propagation in Microstretch Thermoelastic Plate Bordered with Layers of Inviscid Liquid", Multidiscipline Modeling in Materials and Structures, Vol. 5 No. 2, pp. 171-184. https://doi.org/10.1163/157361109787959912

Publisher

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Emerald Group Publishing Limited

Copyright © 2009, Emerald Group Publishing Limited

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