Analysis of a hollow fiber in thermoelectric materials considering interfacial thermal resistance,ZAMM - Journal of Applied Mathematics and Mechanics

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Analysis of a hollow fiber in thermoelectric materials considering interfacial thermal resistance
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-02-05 , DOI: 10.1002/zamm.202000158
Shi‐Chao Xing _{1,

2} , Chuanbin Yu ₁ , Cun‐Fa Gao ₁

Affiliation

Hollow fibers are commonly introduced into flexible thermoelectric materials for certain engineering applications. However, significant stress concentration may be caused in the vicinity of the interface between the fibers and thermoelectric matrix threatening the reliability of the composite structure. In this paper, we study the plane deformation problem of a rigid hollow fiber embedded in a thermoelectric material. By utilizing the complex variable method, the closed-form solutions for electric, thermal and elastic fields in both of the fiber and the matrix are obtained. The effects of the thermal resistance and geometric parameters of the hollow fiber on the temperature and stress distributions are numerically examined. The results show that the temperature difference (amplitude of variation in temperature in the matrix side around the interface) and the stress field around the interface are proportion to the inner radius of the hollow fiber and the thermal resistance, respectively. Meanwhile, we find that the temperature and the stress distributions are more sensitive to the geometric parameters than to the thermal resistance. The results in this paper may serve as guidelines for design of fibers-filled thermoelectric structures.

中文翻译：

考虑界面热阻的热电材料中空纤维分析

中空纤维通常被引入用于某些工程应用的柔性热电材料中。然而，在纤维和热电基体之间的界面附近可能会引起显着的应力集中，从而威胁到复合结构的可靠性。在本文中，我们研究了嵌入热电材料中的刚性中空纤维的平面变形问题。利用复变量法，得到了纤维和基体中电场、热和弹性场的闭式解。数值研究了中空纤维的热阻和几何参数对温度和应力分布的影响。结果表明，温度差（界面周围基体侧的温度变化幅度）和界面周围的应力场分别与中空纤维的内径和热阻成正比。同时，我们发现温度和应力分布对几何参数比对热阻更敏感。本文的结果可作为纤维填充热电结构设计的指南。

更新日期：2021-02-05

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