Propagation of waves in the transversely isotropic thermoelastic Green-Naghdi type II and type III medium

The article is presented to enhance our knowledge about the propagation of the Rayleigh-Lamb waves in the layer of a transversely isotropic medium in the context of thermoelastic model of GN type II and type III. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. Amplitudes of displacements and temperature distributions are also obtained. Finally, a numerical solution is found for cobalt as a medium material, and dispersion curves, amplitudes of displacements, and temperature distributions for symmetric and skew-symmetric wave modes are presented. Some particular cases are also deduced.