Abstract
In this paper, boundary value problems in half-space with different types of heatingare solved by using two-dimensional deformations of the theory of two-temperature thermoelasticity. In particular, the governing equations are solved by using the harmonic waves methods under two theories: (a) the Lord-S, hulman (LS) and (b) the classical dynamical coupled theory (CD), with a linear opening Mode-I crack under the effect of mechanical force during the thermal shock type. Stress wave travels in a transient compressive manner along the crack faces, moving outward from the loading region on the crack face. The exact expressions for the displacement components, force stresses and temperature distributions have been obtained. The variations of the considered variables through the horizontal distance have been illustrated graphically. Comparisons have been made between the results obtained with the two theories. Numerical experiments have also been carried out for a suitable material with the aim of illustrating the results. The conductive temperature, the dynamical temperature, the stress and the strain distributions have been shown graphically, comparing and highlighting the main results.