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Inhomogeneous waves at the boundary of an anisotropic piezo-thermoelastic medium

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Abstract

A mathematical model for the propagation of harmonic plane waves at the boundary of an anisotropic piezo-thermoelastic medium is formulated and solved for slowness surfaces. Ten slowness surfaces are defined at the boundary of the medium. These surfaces are identified with the ten complex values of vertical slowness. Eight of them are associated with propagation of four waves towards/away from the boundary. Two of the slowness surfaces do not represent the propagating phases but the stationary modes. Transmission of outgoing inhomogeneous waves in an anisotropic piezo-thermoelastic medium is studied for the incidence of one of these waves at its plane boundary. These inhomogeneous waves are characterized by their phase velocities, propagation directions and amplitude decay rates with distance from the boundary. Numerical examples are solved to explain the implementation of the derived procedure and to analyse the effects of the medium properties on wave propagation.

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Authors and Affiliations

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

    A. K. Vashishth & Hema Sukhija

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  1. A. K. Vashishth
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  2. Hema Sukhija
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Correspondence to Hema Sukhija.

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Vashishth, A.K., Sukhija, H. Inhomogeneous waves at the boundary of an anisotropic piezo-thermoelastic medium. Acta Mech 225, 3325–3338 (2014). https://doi.org/10.1007/s00707-014-1139-8

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  • DOI: https://doi.org/10.1007/s00707-014-1139-8

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