Based on the Lord and Shulman generalized thermoelasticity theory with one re-
laxation time, an isotropic semi-infinite plate subjected to a moving heat source has been studied
by employing the finite element method directly in time domain, whose distributions of non-
dimensional temperature, displacement and stress are illustrated graphically. The results show
that the present method is an effective and exact numerical one for solving the thermoelastic cou-
pling problem and is capable of overcoming the defects of traditional integrated transformation
and inverse integrated transformation methods. At the same time, the temperature step of the
thermal wave front is obtained exactly in contrast with conventional numerical transformation
methods.