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The generalized dynamical theory of thermo-elasticity proposed byGreen and Lindsay is applied to study the propagation ofharmonically time-dependent thermo-visco-elastic plane waves ofassigned frequency in an infinite visco-elastic solid ofKelvin-Voigt type, when the entire medium rotates with a uniformangular velocity. A more general dispersion equation is deduced todetermine the effects of rotation, visco-elasticity, andrelaxation time on the phase-velocity of the coupled waves. Thesolutions for the phase velocity and attenuation coefficient areobtained for small thermo-elastic couplings by the perturbationtechnique. Taking an appropriate material, the numerical values ofthe phase velocity of the waves are computed and the results areshown graphically to illustrate the problem

Effect of rotation and relaxation times on plane waves in generalized thermo-visco-elasticity