Mohamed I. A. Othman , W. M. Hasona , Nehal T. Mansour
Three-phase-lag theory of thermoelasticity is employed to study the deformation of thermoelastic solid half-space under hydrostatic initial stress and rotation with two- temperature. The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress, thermodynamic temperature and conductive temperature. The numerical results are given and presented graphically when mechanical and thermal force is applied. Comparisons are made with the results predicted by three phase lag, Green-Naghdi III and Lord-Shulman in the presence and absence of initial stress as well as rotation