Abstract

The theory of thermoelasticity with dual phase-lag effects is employed to study the problem of one-dimensional disturbances in an elastic half-space with its plane boundary subjected to (i) a constant step input of temperature and zero stress, and (ii) a constant step input of stress and zero temperature. The Laplace transform method is used to solve the problem. Expressions for displacement, temperature and stress fields are obtained for small values of time. It is found that the solutions consist of two coupled waves both of which propagate with finite speeds and attenuation, influenced by the two delay times and thermoelastic coupling constant. The discontinuities that occur at the wave fronts are obtained. The characteristic features of the underlying theory are analyzed by comparing the results of the present analysis with their counterparts in coupled thermoelasticity theory (CTE) and in other generalized thermoelasticity theories ETE, TRDTE and TEWOED.

Keywords

thermoelastic waves, dual phase-lag effects, thermoelastic half-space

Authors