ONE-DIMENSIONAL THERMAL SHOCK PROBLEM WITH TWO RELAXATION TIMES

Abstract

The theory of generalized thermoelasticity with two relaxation times is used to solve a boundary value problem of an isotropic elastic half-space with its plane boundary either held rigidly fixed or stress-free and subjected to a sudden temperature increase. An approximate small-time solution is obtained by using the Laplace transform method. Numerical values of displacement, stress, and temperature are obtained and displayed graphically. Two discontinuities in both the displacement and temperature functions and that the stress has infinite discontinuities at these two wave fronts were noted