TWO-DIMENSIONAL GENERALIZED THERMOELASTICITY PROBLEM FOR AN INFINITELY LONG CYLINDER

Abstract

The two-dimensional problem of an infinitely long circular cylinder whose lateral surface is traction-free and subjected to an asymmetrical heating is considered within the context of the theory of generalized thermoelasticity with one relaxation time. The solution is obtained by a direct approach, in which an additive function derived from the governing equations is introduced Laplace transform and series expansion techniques are used to derive the solution in the Laplace transform domain. Numerical inversion of the Laplace transforms is carried out to obtain the temperature and stress distributions inside the cylinder. Numerical results are represented graphically and discussed Comparison is made with the solution of the corresponding coupled problem.