Abstract
This work introduces a mathematical model of thermoelastic skin tissue in the context of the dual-phase-lag heat conduction law. One-dimensional skin tissue has been considered with a small thickness and its outer surface traction free. The bounding plane of the skin tissue is subjected to three different types of thermal loading; thermal shock, ramp type heating, and harmonic heating. The inner surface has no temperature increment and traction free. Laplace transform techniques have been used, and its inversions have been calculated by using the Tzuo method. The numerical results have been represented in figures. The thermal shock time parameter, the ramp-type heat parameter, and the angular thermal parameter have significant effects on the temperature increment, the strain, the displacement, and the stress distributions, and they play vital roles in the speed propagation of the thermomechanical waves through the skin tissue.
Highlights
The essential challenge in thermal therapy is distributing adequate heat to a target tissue without influential surrounding tissues
The values of the relevant thermal parameters which have been used in the present calculations are in Table 1 as following4,16,19,29,31: Figures 2–5 represent the temperature increment, the strain, the displacement, and the stress distributions, respectively, with respect to dimensionless length x = L with range 0 ≤ x ≤ 0.3 when the dimensionless time t = 0.05 and the dimensionless relaxation times τq = 0.02, τT = 0.04 for various values of dimensionless thermal shock time parameter υ = (0.0, 0.02, 0.04) and θ0 = 1.0
The values of the temperature increment of the three cases are equal to one when x = 0, and the values of the temperature increment go to zero at the other end of the skin tissue when x = L which agrees with the thermal boundary conditions
Summary
The essential challenge in thermal therapy is distributing adequate heat to a target tissue without influential surrounding tissues. The values of L for all the the temperavalues of the ramp-type heat parameter, which agrees with the thermal boundary condition on this side.
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