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Propagation of Rayleigh waves on free surface of transversely isotropic generalized thermoelastic diffusion

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Abstract

The present paper is devoted to the study of Rayleigh wave propagation in a homogeneous, transversely isotropic, thermoelastic diffusive half-space, subject to stress free, thermally insulated/isothermal, and chemical potential boundary conditions in the context of the generalized thermoelastic diffusion theory. The Green-Lindsay(GL) theory is used in the study. In this theory, thermodiffusion and thermodiffusion mechanical relaxations are governed by four different time constants. Secular equations for surface wave propagation in the considered media are derived. Anisotropy and diffusion effects on the phase velocity, attenuation coefficient are graphically presented in order to present the analytical results and make comparison. Some special cases of frequency equations are derived from the present investigation.

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Authors and Affiliations

  1. Department of Mathematics, Kurukshetra University, Kurukshetra, 136 119, India

    Rajneesh Kumar & Tarun Kansal

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  1. Rajneesh Kumar
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  2. Tarun Kansal
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Correspondence to Rajneesh Kumar.

Additional information

(Communicated by ZHOU Zhe-wei)

Project supported by Council of Scientific and Industrial Research (CSIR)

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Kumar, R., Kansal, T. Propagation of Rayleigh waves on free surface of transversely isotropic generalized thermoelastic diffusion. Appl. Math. Mech.-Engl. Ed. 29, 1451–1462 (2008). https://doi.org/10.1007/s10483-008-1106-6

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  • DOI: https://doi.org/10.1007/s10483-008-1106-6

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2000 Mathematics Subject Classification

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