Generalized Thermoelasticity for an Infinite Body with a Circular Cylindrical Hole

Abstract

A one-dimensional generalized thermoelasticity is presented based on Lord and Shulman's theory, which involves one relaxation time of the thermoelastic process. This theory has been developed in an attempt to eliminate the paradox of an infinite velocity of thermoelastic propagation inherent in the classical theory. The analytical object of this paper is an infinite body with a circular cylindrical hole. The boundary condition is that a constant heat flux is flowing into the infinite body from a circular cylindrical hole but the displacement at the hole is constrained. An approximate analysis for short periods of time is carried out because it is very difficult to obtain an exact solution. The numerical results of the effect of the relaxation time on displacement, temperature and stress distributions are shown.