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Propagation of wave at the boundary surface of transversely isotropic thermoelastic material with voids and isotropic elastic half-space

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Abstract

The purpose of this research is to study the effect of voids on the surface wave propagation in a layer of a transversely isotropic thermoelastic material with voids lying over an isotropic elastic half-space. The frequency equation is derived after developing a mathematical model for welded and smooth contact boundary conditions. The dispersion curves giving the phase velocity and attenuation coefficient via wave number are plotted graphically to depict the effects of voids and anisotropy for welded contact boundary conditions. The specific loss and amplitudes of the volume fraction field, the normal stress, and the temperature change for welded contact are obtained and shown graphically for a particular model to depict the voids and anisotropy effects. Some special cases are also deduced from the present investigation.

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Authors and Affiliations

  1. Department of Mathematics, Kurukshetra University, Kurukshetra, 136119, India

    Rajneesh Kumar & Rajeev Kumar

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  1. Rajneesh Kumar
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  2. Rajeev Kumar
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Correspondence to Rajneesh Kumar.

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Communicated by Yi-ming FU

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Kumar, R., Kumar, R. Propagation of wave at the boundary surface of transversely isotropic thermoelastic material with voids and isotropic elastic half-space. Appl. Math. Mech.-Engl. Ed. 31, 1153–1172 (2010). https://doi.org/10.1007/s10483-010-1350-6

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  • DOI: https://doi.org/10.1007/s10483-010-1350-6

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