Mechanical Engineering Department, Urmia University of Technology, Urmia, Iran.
Mechanical Engineering Department, Faculty of Engineering, Urmia University, Urmia, Iran.
Sci Rep. 2021 Nov 19;11(1):22633. doi: 10.1038/s41598-021-02006-7.
Laser-induced thermal therapy, due to its applications in various clinical treatments, has become an efficient alternative, especially for skin ablation. In this work, the two-dimensional thermomechanical response of skin tissue subjected to different types of thermal loading is investigated. Considering the thermoelastic coupling term, the two-dimensional differential equation of heat conduction in the skin tissue based on the Cattaneo-Vernotte heat conduction law is presented. The two-dimensional differential equation of the tissue displacement coupled with the two-dimensional hyperbolic heat conduction equation in the tissue is solved simultaneously to analyze the thermal and mechanical response of the skin tissue. The existence of mixed complicated boundary conditions makes the problem so complex and intricate. The Galerkin-based reduced-order model has been utilized to solve the two-sided coupled differential equations of vibration and heat transfer in the tissue with accompanying complicated boundary conditions. The effect of various types of heating sources such as thermal shock, single and repetitive pulses, repeating sequence stairs, ramp-type, and harmonic-type heating, on the thermomechanical response of the tissue is investigated. The temperature distribution in the tissue along depth and radial direction is also presented. The transient temperature and displacement response of tissue considering different relaxation times are studied, and the results are discussed in detail.
激光诱导热疗因其在各种临床治疗中的应用而成为一种有效的替代方法，特别是在皮肤消融方面。在这项工作中，研究了皮肤组织在不同类型热载荷下的二维热机械响应。考虑到热弹耦合项，基于 Cattaneo-Vernotte 热传导定律，提出了皮肤组织中二维热传导的微分方程。同时求解组织位移的二维微分方程和组织中的二维双曲型热传导方程，以分析皮肤组织的热机械响应。混合复杂边界条件的存在使得问题变得非常复杂和棘手。基于 Galerkin 的降阶模型已被用于求解具有复杂边界条件的组织中振动和传热的双侧耦合微分方程。研究了各种类型的热源，如热冲击、单脉冲和重复脉冲、重复序列台阶、斜坡型和谐波型加热，对组织的热机械响应的影响。还给出了组织沿深度和径向的温度分布。研究了考虑不同弛豫时间的组织的瞬态温度和位移响应，并详细讨论了结果。
