article · Materials
This research provides a mathematical analysis of the one-dimensional thermoelastic behaviour of thin skin tissue subjected to ramp-type heating on its outer surface. The study applies a refined dual-phase-lag thermal conduction model that incorporates multiple time derivatives. Under the assumption of mechanically clamped boundaries and an inner surface that maintains temperature, the model calculates the distributions of temperature, displacement, dilatation, and stress using Laplace transform and numerical inversion techniques. The results demonstrate how these physical fields are influenced during heating. Furthermore, the analysis shows that the refined dual-phase-lag bioheat model aligns within the spectrum of existing generalized thermoelasticity theories, offering a clearer mathematical description of how skin tissue responds to specific thermal boundary conditions.
Understanding how biological tissue reacts to heat is critical for evaluating thermal stress and temperature changes during thermal exposure. By providing an advanced mathematical model that captures complex heat transfer and mechanical reactions, this work helps improve theoretical predictions of how skin behaves when heated under controlled conditions.
The abstract does not indicate a direct commercial application pathway, as it presents early-stage theoretical and mathematical modelling of thermal conduction in biological tissue without empirical testing or defined end-user technologies.
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In this article, a mathematical analysis of thermoelastic skin tissue is presented based on a refined dual-phase-lag (DPL) thermal conduction theory that considers accounting for the effect of multiple time derivatives. The thin skin tissue is regarded as having mechanically clamped surfaces that are one-dimensional. Additionally, the skin tissue undergoes ramp-type heating on its outer surface, whereas its inner surface keeps the assessed temperature from vanishing. Some of the previous generalized thermoelasticity theories were obtained from the proposed model. The distributions of temperature, displacement, dilatation, and stress are attained by applying the Laplace transform and its numerical reversal approaches. The outcomes are explicitly illustrated to examine the significant influences on the distributions of the field variables. The refined DPL bioheat conduction model in this study predicts temperature, and the findings revealed that the model is located among the existing generalized thermoelastic theories. These findings offer a more thorough understanding of how skin tissue behaves when exposed to a particular boundary condition temperature distribution.
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DOI: 10.3390/ma16062421
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