Fundamental solution in thermoelasticity with two relaxation times for cylindrical regions

The solution of the problem of determining stress and temperature distributions with a continuous line source of heat in an infinite elastic body governed by the equations of generalized thermoelasticity with two relaxation times are obtained by using the Hankel and Laplace transform techniques. Inverse transforms are obtained in an approximate manner for small values of time. Numerical results for a particular case are given.