A THERMOMECHANICAL SHOCK PROBLEM FOR THERMOELASTICITY WITH 2 RELAXATION-TIMES

A half-space governed by the equations of thermoelasticity with two re laxation times is considered. The bounding plane is acted upon by a co mbination of a thermal and a mechanical shock acting for a finite peri od of time. Laplace transform techniques together with the method of p otentials are used. The transforms are inverted analytically using asy mptotic expansions valid for short times to obtain the temperature and stress distributions. Numerical results are obtained and illustrated graphically for a particular case.