Thermoelastic vibrations of a transversely isotropic plate with thermal relaxations

Propagation of plane harmonic thermoelastic waves in a thin, flat, infinite homogeneous, transversely isotropic plate of finite width is studied, in t he context of generalized theory of thermoelasticity. Green and Lindsay (GL ) theory, in which, thermal and thermo-mechanical relaxations are governed by two different time constants, is selected for the study. The frequency e quations corresponding to the symmetric and antisymmetric modes of vibratio n of the plate are obtained, and some limiting and special cases of the fre quency equations are then discussed. The results have been verified numeric ally and are represented graphically. (C) 2001 Elsevier Science Ltd. All ri ghts reserved.