Fundamental solution for thermoelasticity with two relaxation times

Abstract

An infinite elastic body governed by the equations of thermoelasticity with two relaxation times is considered. The body is acted upon by a continuous spherically symmetric source of heat. Laplace transform techniques together with the method of potentials are used to obtain the temperature and stress distributions. Laplace transforms are inverted analytically using asymptotic approximations valid for short times. Numerical results are obtained for a particular case. These results are compared with the corresponding results for the coupled thermoelasticity theory and for the theory of generalized thermoelasticity with one relaxation time.