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16 May 2004 On the flexural and extensional thermoelastic waves in orthotropic plates with two thermal relaxation times
K. L. Verma, Norio Hasebe
J. Appl. Math. 2004(1): 69-83 (16 May 2004). DOI: 10.1155/S1110757X04308041

Abstract

Analysis for the propagation of plane harmonic thermoelastic waves in an infinite homogeneous orthotropic plate of finite thickness in the generalized theory of thermoelasticity with two thermal relaxation times is studied. The frequency equations corresponding to the extensional (symmetric) and flexural (antisymmetric) thermoelastic modes of vibration are obtained and discussed. Special cases of the frequency equations are also discussed. Numerical solution of the frequency equations for orthotropic plate is carried out, and the dispersion curves for the first six modes are presented for a representative orthotropic plate. The three motions, namely, longitudinal, transverse, and thermal, of the medium are found dispersive and coupled with each other due to the thermal and anisotropic effects. The phase velocity of the waves gets modified due to the thermal and anisotropic effects and is also influenced by the thermal relaxation time. Relevant results of previous investigations are deduced as special cases.

Citation

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K. L. Verma. Norio Hasebe. "On the flexural and extensional thermoelastic waves in orthotropic plates with two thermal relaxation times." J. Appl. Math. 2004 (1) 69 - 83, 16 May 2004. https://doi.org/10.1155/S1110757X04308041

Information

Published: 16 May 2004
First available in Project Euclid: 1 June 2004

zbMATH: 1121.74356
MathSciNet: MR2077881
Digital Object Identifier: 10.1155/S1110757X04308041

Subjects:
Primary: 74A15 , 74F05
Secondary: 74H45 , 74J05 , 74J20 , 74K20 , 74L05 , 74L15

Rights: Copyright © 2004 Hindawi

Vol.2004 • No. 1 • 16 May 2004
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