The main goal of this paper is to develop a mathematical model for the piezoelectric elastic-semiconductor medium. The medium is homogeneous and isotropic that is exposed to photothermal excitation processes. Gauss’s law of electrostatics is used to obtain the effect of the piezoelectric phenomenon. The governing equations with the electric potential are expressed in terms of thermoelasticity theory and photothermal theory. One-dimensional Laplace transform is used to get the solution of some physical quantities when the heat sources and body forces are absent. The mechanical forces and thermal loads are used to get the analytical solution of physical quantities under investigation. The inverse Laplace technique with a numerical method is employed to obtain the solution in the time-physical domain. A novel parameter depends on pyro-electric moduli is presented. Some numerical results are illustrated and shown graphically.

In this investigation, the variable thermal conductivity, which depends on a linear function of temperature, is studied during photothermal excitation processes. The influence of the external magnetic field in the context of volumetrically heat source (optically external source) of an elastic semiconductor medium is investigated. The influence of pulse heat flux and thermal memory of the generalized thermoelasticity theory is taken into consideration. The governing equations are obtained in one dimension (1D) by cylindrical coordinates. The interactions between Photo (carrier density)-elastic and magneto-thermal waves are described analytically. The Laplace transform method in 1D is used to obtain the solutions of principal physical field quantities under investigation. The mechanical deformation during the mechanical loads and thermal gradient temperature are applied on the outer surface of the medium. Fourier series expansion and some numerical techniques are used to get the complete solution of physical fields in the physical time-domain. The resulting physical quantities are obtained numerically, discussed, and graphically presented for an example of a semiconductor material.