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.
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Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 88, No. 6, pp. 1498–1511, November–December, 2015.
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Shaw, S., Mukhopadhyay, B. Electromagnetic Effects on Wave Propagation in an Isotropic Micropolar Plate. J Eng Phys Thermophy 88, 1537–1547 (2015). https://doi.org/10.1007/s10891-015-1341-0
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DOI: https://doi.org/10.1007/s10891-015-1341-0