Effect of Rotation and Initial Stress on Generalized- Thermoelastic Problem in an Infinite Circular Cylinder

In this paper, we investigated the influence of rotating and initial stress on the propagation of Rayleigh waves in a homogeneous isotropic, generalized thermoelastic body, subject to the boundary conditions that the outer surface is traction free. In addition, it is subject to insulating thermal conduction. General solution is obtained by using Hankel transform and Lame' potentials. It has been found that frequency equation of waves contains a term involving the rotating and initial stress. Therefore the phase velocity of Rayleigh waves changes with respect to this rotating and initial stress. When the rotating and initial stress vanishes, the derived frequency equation reduces to that obtained in classical generalized thermo-elastic case which includes the relaxation time of heat conduction. The numerical results have been obtained and presented graphically in 2D-plots.