Abstract:
In present paper, the problems of propagation of plane harmonic coupled waves of temperature increment, translational and spinor displacements in an ultraisotropic micropolar thermoelastic solid are considered and their wavenumbers are calculated. The ultraisotropic model is treated as a doubly reduced version of a semi-isotropic solid. The orders of terms of partial differential equations of coupled micropolar thermoelasticity are analyzed with respect to a micro/nanolength scale. The characteristic equations for wavenumbers of plane harmonic coupled thermoelastic longitudinal (bicubic equation) and transverse (biquadratic equation) 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.
Fulltext:
PDF file (1233 kB)