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Reflection of Plane Waves in a Rotating Temperature-Dependent Thermoelastic Solid with Diffusion

Published online by Cambridge University Press:  16 October 2012

B. Singh ,
L. Singh  and
S. Deswal
B. Singh*
Affiliation:
Department of Mathematics, Post Graduate Government College, Sector-11, Chandigarh 160011, India.
L. Singh
Affiliation:
Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar-125001, Haryana, India
S. Deswal
Affiliation:
Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar-125001, Haryana, India
*
* Corresponding author ([email protected])
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Abstract

The governing equations of a model of rotating generalized thermoelastic diffusion in an isotropic medium with temperature-dependent mechanical properties are formulated in context of Lord-Shulman theory of generalized thermoelasticity. The modulus of elasticity is taken as a linear function of reference temperature. The solution of the governing equations indicates the existence of four coupled plane waves in x-z plane. The reflection of plane waves from the free surface of a rotating temperature-dependent thermoelastic solid half-space with diffusion is considered. The required boundary conditions are satisfied by the appropriate potentials for incident and reflected waves in the half-space to obtain a system of four non-homogeneous equations in the reflection coefficients. The expressions for energy ratios of the reflected waves are also obtained. The reflection coefficients and energy ratios are found to depend upon the angle of incidence, reference temperature, thermodiffusion and rotation parameters. Aluminum material is modeled as the half-space to compute the absolute values of the reflection coefficients and the energy ratios. Effects of temperature dependence and rotation parameters on the reflection coefficients and energy ratios are shown graphically for a certain range of the angle of incidence of the incident plane wave.

Keywords

Generalized thermoelasticityPlane wavesReflectionRotationDiffusion
Type
Articles
Information
Journal of Mechanics , Volume 28 , Issue 4 , December 2012 , pp. 599 - 606
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

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