GENERALIZED THERMOELASTICITY FOR AN INFINITE SOLID CYLINDER

One-dimensional, generalized thermoelasticity is presented based on Lord and Shulman's theory and Green and Lindsay's theory. The former theory involves one relaxation time of the thermoelastic process and the latter involves two relaxation times. These theories have been developed in an attempt to eliminate the paradox of the infinite velocity of thermoelastic propagation inherent in the classical dynamically coupled theory. A formulation of generalized thermoelasticity which combines both generalized theories is derived. The generalized thermoelastic problems in an infinite solid cylinder are analyzed by means of a Laplace transform technique. The numerical calculations for displacement, temperature and stress under the generalized formulation are carried out and compared with the results under the classical formulation.