WAVE PROPAGATION IN GENERALIZED DYNAMICAL THEORY OF THERMOELASTICITY

In this work a generalized dynamical theory of thermoelasticity is employed to study transient boundary-value problems. The problems considered are those of a half-space subjected to step time inputs of strain, temperature, and stress uniformly distributed over the free surface. The solution is obtained by the use of the Laplace transform on time and the sine transform on space. Wavefront and long time approximations are obtained and compared to previous results deduced from the present theory and also from the classical coupled thermoelastic theory. © 1969 Oxford University Press.