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一维热弹性双时滞皮肤组织在不同类型热载荷下的建模。

Modeling of One-Dimensional Thermoelastic Dual-Phase-Lag Skin Tissue Subjected to Different Types of Thermal Loading.

机构信息

Engineering Mechanics Department-College of Engineering and Islamic Architecture -Umm Al-Qura University-, Makkah, Saudi Arabia.

Mathematics Department-Faculty of Applied Science-Umm Al-Qura University-, Makkah, Saudi Arabia.

出版信息

Sci Rep. 2020 Feb 25;10(1):3399. doi: 10.1038/s41598-020-60342-6.

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.

摘要

本文介绍了双时滞热传导定律下的热弹性皮肤组织数学模型。考虑了具有小厚度的一维皮肤组织,其外表面不受牵引力的作用。皮肤组织的边界平面受到三种不同类型的热载荷的作用:热冲击、斜坡式加热和谐波加热。内表面没有温度升高和牵引力。使用了拉普拉斯变换技术,并通过 Tzuo 方法计算了其逆变换。数值结果以图形表示。热冲击时间参数、斜坡式加热参数和角热参数对温度增量、应变、位移和应力分布有显著影响,它们在热机械波通过皮肤组织的速度传播中起着至关重要的作用。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a909/7042352/c506213d0c92/41598_2020_60342_Fig1_HTML.jpg

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