One-dimensional waves in a thermoelastic half-space without energy dissipation

Abstract

The theory of thermoelasticity without energy dissipation is employed to study one-dimensional dimturbances in a half-space with rigid plane boundary. The disturbances are supposed to be due to a constant step in temperature applied to the boundary. The Laplace transform method is employed to solve the problem. Exact expressions for displacement, temperature and stress fields are obtained. The characteristic features of the underlying theory are analysed by comparing these expressions with their counterparts in other generalized thermoelasticity theories.