Abstract
The theory of two-temperature generalized thermoelasticity is applied to solve boundary value problems of two dimensional half-space with different types of heating. The governing equations are solved using new mathematical methods under the purview of the Lord-Shulman (LS) and the classical dynamical coupled theory (CD). The general solution obtained has been applied to a specific problem of a half-space, subjected to one of the types of heating via the thermal shock type. The harmonic wave (normal mode) method has been used to obtain the exact expressions for the displacement components, force stresses and temperature distribution. The variations of the considered variables through the horizontal distance have been illustrated graphically. Comparisons have been made with the results between the two theories. Numerical results have also been presented, illustrating the developed methodology. In particular, such characteristics as the conductive temperature, the dynamical temperature, the stress and the strain distributions have been discussed in detail.