Axi-Symmetric Deformation in Generalized Thermoelasticity with Two Temperatures

Abstract

The disturbance due to normal force and thermal source in a homogeneous, isotropic generalized thermoelastic medium with two temperatures for the axi-symmetric problem in the context of generalized theories [Lord and Shulman (L-S) theory and Green–Lindsay (G-L) theory] are obtained by applying the Laplace and Hankel transforms. To get the solution in physical form, a numerical inversion technique has been applied. The components of stress, conductive temperature \({\phi}\) and temperature distribution θ are computed numerically and illustrated graphically to compare the results between the two temperature models for L-S and G-L as well as for classical one temperature theory of thermoelasticity. Some special cases are also deduced from the present problem.