Abstract:
The study is devoted to problems associated with propagation of plane harmonic coupled waves of temperature increment, translational and spinor displacements in an ultrahemitropic micropolar thermoelastic solid. A closed system of differential equations in partial derivatives of the second order with respect to the temperature increment and displacements (translational and spinor) is revisited. Characteristic equations for wavenumbers of plane harmonic coupled thermoelastic waves are found and analyzed. Algebraic expressions for the roots of the characteristic equations are obtained and normal wavenumbers with a positive real part are separated. For a longitudinal wave, complex amplitudes of the temperature increment, translational and spinor displacements are coupled, in contrast to a transverse wave, which is athermal in nature.
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