Propagation of Rayleigh Waves at the Free Surface of Transversely Isotropic Generalized Thermoelastic Diffusion

Rajneesh Kumar; Tarun Kansal

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(11): 1314-1324

Rajneesh Kumar, Tarun Kansal. Propagation of Rayleigh Waves at the Free Surface of Transversely Isotropic Generalized Thermoelastic Diffusion[J]. Applied Mathematics and Mechanics, 2008, 29(11): 1314-1324.

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Propagation of Rayleigh Waves at the Free Surface of Transversely Isotropic Generalized Thermoelastic Diffusion

Department of Mathematics, Kurukshetra University, Kurukshetra-136 119, India

Received Date: 2008-02-07
Rev Recd Date: 2008-09-26
Publish Date: 2008-11-15

Abstract

Abstract

The propagation of Rayleigh waves in a homogeneous, transversely isotropic, thermoelastic diffusive half-space subjected to stress free, thermally insulated/isothermal and chemical potential boundary conditions, in the context of generalized theory of thermoelastic diffusion is studied. Green and Lindsay(GL) theory, in which, thermodiffusion and thermodiffusion-mechanical relaxations are governed by four different time constants, was selected for study. Secular equations for surface wave propagation in the considered media were derived. Anisotropy and diffusion effects on the phase velocity, attenuation coefficient were presented graphically in order to illustrate and compare the analytically results. Some special cases of frequency equations were also deduced from the present investigation.
- wave propagation,
- transversely isotropic,
- generalized thermoelastic diffusion,
- phase velocity,
- attenuation coefficient

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References(27)

References

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