Wave propagation in transversely isotropic plates in generalized thermoelasticity

Summary

 In this paper, the boundary value problem in generalized thermoelasticity concerning the propagation of plane harmonic waves in a thin, flat, infinite homogeneous, transversely isotropic plate of finite width is solved. The frequency equations corresponding to the symmetric and antisymmetric modes of vibration of the plate are obtained. The limiting and special cases of the frequency equations have also been discussed. Finally, a numerical solution of the frequency equations for a NaF crystal is carried out, and the dispersion curves for the lowest six modes of the symmetric and antisymmetric vibrations are represented graphically at different values of thermal relaxation time.