Based on the generalized thermoelasticity proposed by Green and Lindsay, the dy-
namic response of generalized thermoelastic problems with temperature-dependent material prop-
erties is investigated. The governing equations are formulated and found to be nonlinear because
of the temperature-dependence of properties. Owing to the nonlinearity of the governing equa-
tions, the finite element method is resorted to for solution. The results obtained show that the
temperature-dependent properties influence the variables considered by reducing their magni-
tudes. This indicates that taking the temperature-dependence of properties into consideration in
the investigation of generalized thermoelastic problems is necessary and practical for accurately
predicting the thermoelastic behavior.