Assessing the impact of ramp-type heating on 1D skin tissue behavior with the Moore–Gibson–Thompson heat transfer model

Abstract

The present study investigates the thermal and elastic responses of skin tissue using a modified Moore–Gibson–Thompson thermal conduction model, incorporating multiple time derivatives. We consider a thin skin tissue layer, modeled as a one-dimensional system with clamped mechanical edges, subjected to ramp-type thermal loading on the outer surface. Additionally, no heat transfer occurred at inner surface. The Laplace transform technique and its numerical reversal are implemented to find analytical–numerical solutions involving thermophysical fields, such as dimensionless temperature, displacement, dilatation, and stress. The study employs the Moore–Gibson–Thompson (MGT) bioheat conduction model to predict temperature distributions in skin tissue. Our findings offer significant insights into skin tissue’s thermal behavior under specific conditions, providing a richer understanding of its thermal response and advancing knowledge in the field.