On Rayleigh Wave in Two-Temperature Generalized Thermoelastic Medium without Energy Dissipation

Baljeet Singh, Kiran Bala

Department of Mathematics, Government College, Haryana, India& Research Scholar in Mathematics, Singhania University, Rajasthan, India.
Department of Mathematics, Post Graduate Government College, Chandigarh, India.

DOI: 10.4236/am.2013.41019                

Abstract

In this paper, Rayleigh surface wave is studied at a stress free thermally insulated surface of a two-temperature thermoelastic solid half-space in absence of energy dissipation. The governing equations of two-temperature generalized thermoelastic medium without energy dissipation are solved for surface wave solutions. The appropriate particular solutions are applied to the required boundary conditions to obtain the frequency equation of the Rayleigh wave. Some special cases are also derived. The non-dimensional speed is computed numerically and shown graphically to show the dependence on the frequency and two-temperature parameter.

Keywords

Two-Temperature; Generalized Thermoelasticity; Rayleigh Wave; Energy Dissipation

Conflicts of Interest

The authors declare no conflicts of interest.

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