The photothermal interaction of a viscothermoelastic semiconducting ceramic solid sphere under the Green–Naghdi heat conduction model

This work introduces a new mathematical model for viscothermoelastic semiconducting solid spheres of ceramic materials considering the photothermal interaction using three types of the Green–Naghdi heat conduction model. The outer surface of a solid sphere is loaded thermally using ramp-type heat as a boundary condition. Following that, Laplace transforms and their inversion forms have been applied. The figures show that the mechanical relaxation time and ramp-time heat parameters have significant effects on the increase in carrier density and temperature, in addition to strain, displacement, the average of principal stresses, and the strain-energy density. The energy produced by viscothermoelastic semiconducting materials based on photothermal interaction may be controlled by the ramp-time heat parameter. The novelty of this work is to test the three types of the Green–Naghdi heat conduction model and apply the model to zirconia, a ceramic material.