Analysis of the Effects of Phase-lags on Propagation of Harmonic Plane Waves in Thermoelastic Media

Kumar Roushan, Mukhopadhyay Santwana *

Department of Applied Mathematics, Institute of Technology,
Banaras Hindu University, Varanasi-221005, India
*Corresponding author: e-mail: mukho_santwana@rediffmail.com

Received:

Received: 3 July 2009; revised: 16 December 2009; accepted: 30 December 2009; published online: 25 March 2010

DOI:   10.12921/cmst.2010.16.01.19-28

OAI:   oai:lib.psnc.pl:711

Abstract:

The present paper attempts to investigate the propagation of harmonic plane waves of assigned frequency by employing the thermoelasticity theory with three phase-lags, recently proposed by Roychoudhuri (2007). The solutions of dispersion relation for the longitudinal plane waves are determined analytically and asymptotic expansions of several characterizations of the wave fields- phase velocity, specific loss and penetration depth of the dilatational waves are obtained for both the high frequency and low frequency values. Computational work for numerical values of the above quantities is also carried out with the help of Mathematica. A detailed analysis of the effects of phase-lags on the plane wave is presented by contrasting the theoretical as well as numerical results of the present work
with the corresponding results of the theory of thermoelasticity type III (Green and Naghdi, 1993) as reported earlier.

Key words:

generalized thermoelasticity, harmonic plane wave, thermoelasticity type III, thermoelasticity with three phase-lags

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