Abstract
This paper describes three-dimensional generalized thermoelasticity based on the Lord-Shulman's theory and the Green-Lindsay's theory by use of the state space approach. The fundamental equations of generalized thermoelasticity, which include both generalized theories, are used. The functionally graded material is approximated to a multilayered medium, which consists of homogeneous and isotropic layers and whose surface is traction free and subjected to partial heating, is analyzed by means of Laplace and Fourier transforms. The inversions are carried out numerically. The numerical calculations for temperature and thermal stresses are carried out.
