Propagation of Waves in a Two-Temperature Rotating Thermoelastic Solid Half-Space without Energy Dissipation

Baljeet Singh, Kiran Bala

Department of Mathematics, Government College, Barwala, India&Department of Mathematics, Singhania University, Rajasthan, India.
Department of Mathematics, Post Graduate Government College, Chandigarh, India.

DOI: 10.4236/am.2012.312261                

Abstract

The present paper is concerned with the propagation of plane waves in an isotropic two-temperature generalized thermoelastic solid half-space in context of Green and Naghdi theory of type II (without energy dissipation). The governing equations in x – z plane are solved to show the existence of three coupled plane waves. The reflection of plane waves from a thermally insulated free surface is considered to obtain the relations between the reflection coefficients. A particular example of the half-space is chosen for numerical computations of the speeds and reflection coefficients of plane waves. Effects of two-temperature and rotation parameters on the speeds and the reflection coefficients of plane waves are shown graphically.

Keywords

Two-Temperature; Generalized Thermoelasticity; Reflection; Reflection Coefficients; Energy Dissipation; Rotation

Conflicts of Interest

The authors declare no conflicts of interest.

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