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Investigation on Magneto-thermoelastic Disturbances Induced by Thermal Shock in an Elastic Half Space Having Finite Conductivity under Dual Phase-lag Heat Conduction

Tiwari R., Kumar A., Mukhopadhyay S.

Computational Methods in Science and Technology

2016

Vol. 22, No. 4

201--215

The present work seeks to investigate the propagation of magneto-thermoelastic disturbances produced by a thermal shock in a finitely conducting elastic half-space in contact with vacuum. Normal load has been applied on the boundary of the existing media that is supposed to be permeated by a primary uniform magnetic field. We employ both the parabolic type (dual phase-lag magneto-thermoelasticity of type I (MTDPL-I)) and hyperbolic type (dual phase-lag magneto-thermoelasticity of type II (MTDPL-II)) dual phase-lag heat conduction models to account for the interactions among the magnetic, elastic and thermal fields. The integral transform technique is applied to solve the present problem and the analytical results of both cases have been obtained separately. A detailed analysis of results has been made in order to understand the nature of waves propagating inside the medium and the effects of the phase-lag parameters. The effect of the presence of magnetic field has been highlighted. Numerical results have also been obtained to analyze the effect of magnetic field on the behavior of the solution more clearly and a detailed analysis of the results predicted by two models has been presented. It has been noted that in some cases there are significant differences in the solution obtained in the contexts of MTDPL-I and MTDPL-II theory of magneto-thermoelasticity.

Magneto-thermo-elastic waves in an infinite perfectly conducting solid without energy dissipation

Roy Choudhuri S. K.

Journal of Technical Physics

2006

Vol. 47, no 2

63-72

The generalized theory of Thermoelasticity II without energy dissipation is employed to study the propagation of time-harmonic plane waves in an unbounded, perfectly electrically conducting elastic medium subjected to a primary uniform magnetic field. A more general dispersion equation for coupled magneto-thermoelastic waves is derived. It reveals that the coupled magneto-thermoelastic waves correspond to modified dilatational and thermal waves propagation with finite speeds modified by finite thermal wave speed, thermoelastic coupling and the external magnetic field. The waves propagate without attenuation and dispersion in contrast to the magneto-thermoelastic waves in classical thermoelasticity and in other generalized thermoelastic theories where the coupled waves undergo both attenuation and dispersion. Numerical results for a copper-like material are presented.