In this work, the effects of interaction between elastic and plasma-thermal waves are studied in the framework of the hyperbolic two-temperature theory. The basic equations are formed during the photo-excitation processes in the context of the photothermal theory. A laser pulse illuminates the outer surface of a semiconductor medium whose thermal conductivity is variable. Three different models of the generalized photo-thermoelasticity theory are applied to a 2D deformation problem. The integral transforms technique are used to solve the problem by applying the double transforms Fourier and Laplace. The inversion of Fourier and Laplace transforms is obtained according to Honig and Hirdes technique. The thermal, mechanical and recombination plasma loads are utilized at the medium-free surface to attain the complete solutions of the main physical fields. A comparison between the three different models of thermoelasticity is performed; in addition, the influence of some physical parameters are studied. Si material has been utilized as an example to ensure the validity of the attained solution.