Thermal shock problem of two-temperature generalized thermoelasticity without energy dissipation with rotation

In this paper, we constructed a mathematical model for a thermoelastic half-space medium based on two-temperature generalized thermoelasticity without energy dissipation. The Laplace transforms techniques have been used to get the general solution for a particular model when the medium is subjected to thermal shock by using stat-space approach. The inversion of the Laplace transforms has been calculated numerically and after that we presented the results graphically with some comparisons to study the impact of thermal or mechanical load on the speed of progress of mechanical and thermal waves through the medium. Also, to studying the effect of the two-temperature parameter rotation parameter on all the studied field.