Electromagnetic Effects on Wave Propagation in an Isotropic Micropolar Plate

The generalized theory of thermoelasticity is applied to study the propagation of plane harmonic waves in an infinitely long, isotropic, micropolar plate in the presence of a uniform magnetic field. The present analysis also includes the thermal relaxation time, electric displacement current, and th...

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Bibliographic Details
Published in:Journal of engineering physics and thermophysics 2015-11, Vol.88 (6), p.1537-1547
Main Authors: Shaw, S., Mukhopadhyay, B.
Format: Article
Language:English
Subjects:
Analysis
Classical Mechanics
Complex Systems
Engineering
Engineering Thermodynamics
Heat and Mass Transfer
Industrial Chemistry/Chemical Engineering
Magnetic fields
Thermodynamics
Wave propagation
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Summary:The generalized theory of thermoelasticity is applied to study the propagation of plane harmonic waves in an infinitely long, isotropic, micropolar plate in the presence of a uniform magnetic field. The present analysis also includes the thermal relaxation time, electric displacement current, and the coupling of heat transfer and microrotation of the material. To determine the effect of the presence of thermal as well as magnetic fields on the phase velocity, two potential functions are used, and more general dispersive relations are obtained for symmetric and antisymmetric modes. The results for the cases of coupled thermoelasticity, magnetoelasticity, micropolar thermoelasticity, and classical micropolar elasticity as special cases are derived. The changes in the phase velocity and attenuation coefficient with the wave number are shown graphically.
ISSN:1062-0125
1573-871X
DOI:10.1007/s10891-015-1341-0