Sobhy Mohammed, Zenkour Ashraf M
Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia.
Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt.
Materials (Basel). 2022 Sep 10;15(18):6292. doi: 10.3390/ma15186292.
In this article, we present a mathematical model of thermoelastic skin tissue based on a refined Lord-Shulman heat conduction theory. A small thickness of skin tissue is considered to be one-dimensional with mechanical clamped surfaces. In addition, the skin tissue's outer surface is subjected to ramp-type heating while its inner surface is adiabatic. A simple Lord-Shulman theory, as well as the classical coupled thermoelasticity, are also applied in this article. Laplace transform techniques and their inversions are calculated to return to the time domain. Numerical outcomes are represented graphically to discuss the significant impacts on the temperature, dilatation, displacement, and stress distributions. Such results provide a more comprehensive and better insight for understanding the behavior of skin tissue during the temperature distribution of a specific boundary condition.
在本文中，我们基于改进的Lord-Shulman热传导理论提出了一种热弹性皮肤组织的数学模型。考虑到皮肤组织的一小部分厚度在机械夹紧表面的情况下为一维。此外，皮肤组织的外表面受到斜坡型加热，而其内表面是绝热的。本文还应用了简单的Lord-Shulman理论以及经典的耦合热弹性理论。计算拉普拉斯变换技术及其反演以回到时域。以图形方式呈现数值结果，以讨论对温度、膨胀、位移和应力分布的显著影响。这些结果为理解特定边界条件下温度分布期间皮肤组织的行为提供了更全面和更好的见解。
