The generalized theory of thermodiffusion is applied to study the propagation of plane harmonic waves in an infinitely long isotropic micropolar plate. The present analysis also includes both the thermal and mass diffusive relaxation times, as well as the coupling of the thermal diffusion with microrotation of the material. To determine the effect of the presence of thermal as well as mass diffusion on the phase velocity of the wave propagation, two potential functions are used, and more general dispersive relations are obtained for symmetric and antisymmetric modes. The results for the cases of thermoelasticity, micropolar thermoelasticity, and thermodiffusive elasticity are derived. The changes in the phase velocity, attenuation coefficient, and the specific loss factor with the wave number are shown graphically.
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Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 88, No. 5, pp. 1223–1231, September–October, 2015.
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Shaw, S., Mukhopadhyay, B. Thermoelastic Waves with Thermal Diffusion in an Isotropic Micropolar Plate. J Eng Phys Thermophy 88, 1264–1273 (2015). https://doi.org/10.1007/s10891-015-1308-1
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DOI: https://doi.org/10.1007/s10891-015-1308-1