Abstract
In the current paper, a novel mathematical model of generalized thermo-viscoelasticity theory based on Pennes’ bioheat transfer equation with dual-phase lag is introduced to investigate bio-thermo-mechanics behavior in skin tissue. This model is useful in treating skin tumors by local hyperthermia. A one-dimensional layer problem of skin tissue with an arbitrary thickness and its outer surface traction free is considered. The bounding plane of the skin tissue is subjected to three different types of thermal loading. The Laplace transform techniques are used to obtain the general solution for any set of boundary conditions. The inverse transformations are derived by the use of a numerical approach based on the Tzuo method. According to the numerical results and its graphs, the influences of the thermal shock time parameter, the ramp-type heat parameter, and the angular thermal parameter on all fields are examined. A comparison is made with the results predicted by the five theories of thermo-viscoelasticity to verify the accuracy of the proposed model.