Abstract
The equations of generalized thermoelastic diffusion, based on the theory of Lord and Shulman with one relaxation time, are derived for anisotropic media with rotation. The variational principle and reciprocity theorem for the governing equations are derived. The propagation of leaky Rayleigh waves in a viscous fluid layer overlying a homogeneous isotropic, generalized thermoelastic diffusive halfspace with rotating frame of reference is studied.
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References
Qi, Q., Attenuated leaky Rayleigh waves. J. Acoust. Soc. America 95 (1994) 3222–3231.
M. Aouadi, Generalized theory of thermoelastic diffusion for anisotropic media, J. Thermal Stresses 31 (2008) 270–285.
R. Kumar and T. Kansal, Effect of rotation on Rayleigh waves in an isotropic generalized thermoelastic diffusive half-space, Archives of mechanics, 60(5) (2008) 421–443, 2008.
M. Fehler, Interactions of seismic waves with a viscous liquid layer, Bull. Seismological Society of America, 72 (1982), 55–72.
F. M. White, Fluid Mechanics-McGraw Hill Int., Eds., 1994.
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This paper was recommended for publication in revised form by Associate Editor Eung-Soo Shin
Prof. Rajneesh Kumar Born on 08-08-1958, did M.Sc. (1980) from Guru Nanak Dev University, Amritsar (Punjab, India), M. Phil. (1982) from Kurukshetra University Kurukshetra (Haryana, India) and Ph. D. (1986) in Applied Mathematics from Guru Nanak Dev University, Amritsar (Punjab, India). Guided 52 M. Phil. students, 9 students awarded Ph.D. degree and 8 students are doing Ph.D. under my supervision. I have 200 publications in Journals of international repute. My area of research work is Continuum Mechanics (micropolar elasticity, thermoelasticity, poroelasticity, magnetoelasticity, micropolar porous couple stress theory, viscoelasticity, mechanics of fluid).
Mr. Tarun Kansal Born on 05-10-1982, did M.Sc. (2004) from Kurukshetra University, Kurukshetra (Haryana, India.). Presently doing research as a Senior Research Fellow (SRF-CSIR) in the Department of Mathematics, Kuru-kshetra University, Kurukshetra since Jan 8, 2007.
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Kumar, R., Kansal, T. Dynamic problem of generalized thermoelastic diffusive medium. J Mech Sci Technol 24, 337–342 (2010). https://doi.org/10.1007/s12206-009-1109-6
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DOI: https://doi.org/10.1007/s12206-009-1109-6