Dispersion of thermoelastic waves in a plate with and without energy dissipation

In this paper, the dispersion and energy dissipation of thermoelastic plane harmonic waves in a thin plate bounded by insulated traction-free surfaces is studied on the basis of three generalized theories of thermoelasticity. The frequency equations corresponding to the symmetric and antisymmetric m odes of vibration of the plate are obtained. Some limiting and particular c ases of the frequency equations are then discussed. Results obtained in thr ee theories of generalized thermoelasticity are compared. The results for t he coupled thermoelasticity can be obtained as particular cases of the resu lts by setting thermal relaxations times equal to zero. Numerical evaluatio ns relating to the lower modes of the symmetric and antisymmetric waves are presented for an aluminum alloy plate.