Abstract
This paper deals with the axisymmetric three-dimensional generalized thermoelasticity based on the Lord and Shulman's theory and the Green and Lindsay's theory by use of the state space approach. The fundamental equations of generalized thermoelasticity, which include both generalized theories, are used. The generalized thermoelastic problem for a layered medium, which consists of homogeneous and isotropic layers and whose surface is traction free and subjected to an axisymmetric heating is analyzed by means of the Laplace and Hankel transforms. The inversions are carried out numerically. The numerical calculations for temperature and stresses under the generalized formulation are carried out.
