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A Two-Dimensional Problem for a Rotating Magneto-Thermoelastic Half-Space with Voids and Gravity in a Two-Temperature Generalized Thermoelasticity Theory

Published online by Cambridge University Press:  15 July 2015

S. Deswal  and
N. Hooda
S. Deswal
Affiliation:
Department of Mathematics, Guru Jambheshwar University of Science and Technology, Haryana, India
N. Hooda*
Affiliation:
Department of Mathematics, Guru Jambheshwar University of Science and Technology, Haryana, India
*
*Corresponding author ([email protected])
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Abstract

The present paper is concerned with an in-depth study of the effects of rotation, two-temperature parameter and voids on the magneto-thermoelastic interactions in a homogeneous, isotropic, generalized half-space with gravity field. The formulation is applied within the frame-work of two-temperature generalized thermoelasticity based on the hyperbolic heat conduction model with one relaxation time. Using normal mode analysis technique for the physical variables appearing in the governing equations, we get the analytical expressions for displacement components, stress, thermodynamic temperature, conductive temperature and change in volume fraction field. The general solution obtained is then applied to a specific problem of an infinite half-space having isothermal boundary subjected to mechanical load. Variations of the considered variables through the vertical distance are illustrated graphically.

Keywords

Two-temperatureGeneralized thermoelasticityVoidsNormal mode analysis
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 6 , December 2015 , pp. 639 - 651
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2015 

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