含空心纤维热电复合材料的能量转换效率及力学性能  

Energy Conversion Efficiency and Mechanical Properties of Thermoelectric Composites Containing Hollow Fibers

作　　者：邢时超 翁晨 戴明[1] 高存法[1] Shichao Xing;Chen Weng;Ming Dai;Cunfa Gao(State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics,Nanjing,210016;Key Laboratory of Construction Hydraulic Robots of Anhui Higher Education Institutes Tongling University,Tongling,244061;Aviation Maintenance Sergeant School,Air Force Engineering University,Xinyang,464000)

机构地区：[1]南京航空航天大学机械结构力学及控制国家重点实验室,南京210016 [2]铜陵学院工程液压机器人安徽普通高校重点实验室,铜陵244061 [3]空军工程大学航空机务士官学校,信阳464000

出　　处：《固体力学学报》2022年第3期257-270,共14页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(11872203,51921003);安徽高校科学研究项目(KJ2021A1058);江苏高校优势学科建设工程项目(PAPD);工程液压机器人安徽普通高校重点实验室(铜陵学院)开放课题(TLZYCHR-0-21YB04)资助。

摘　　要：空心纤维常用于热电复合材料的结构设计.纤维附近产生的不均匀温度场会引起局部热应力集中,威胁材料的可靠性并可能导致结构失效.论文采用圆环夹杂模型,研究了含空心纤维热电复合材料在均匀远场电流和能流作用下的力学响应.基于非线性全耦合的热电本构方程,利用复变函数中的级数法得到了纤维和基体中热电场和应力场的解析解.通过数值算例,分析了空心纤维的传导能力和几何尺寸对温度场、应力场和局部热电转换效率的影响.结果表明:随着空心纤维内径和界面热阻的增大,界面周围的应力场增大,但并不改变应力场的分布趋势.此外,研究发现:温度分布和应力场对几何参数比对界面热阻更为敏感.Hollow fibers are often used in the design of thermoelectric composite structures.The presence of hollow fibers usually leads to an inhomogeneous temperature field in the corresponding thermoelectric materials and local stress concentration near the fibers,which threatens reliability of the thermoelectric materials and may eventually cause their failure.In this paper,the hollow fiber is simulated as an annular inclusion.The energy conversion efficiency and mechanical response of a thermoelectric matrix with a hollow fiber under remote current and energy flow are studied.Analytical solutions for the thermoelectric field and stress field in the composite are obtained for the case of fully coupled nonlinear thermoelectric constitutive equations,by using the complex variable formalism and the series expansion method.The effects of conductivity and geometric parameters of the hollow fiber on the temperature distribution,stress field and thermoelectric conversion efficiency are discussed in numerical results.It is shown that the stress around the interface increases with the inner radius of hollow fiber and interfacial thermal resistance,whilst the stress distribution keeps the same.In addition,it is found that the geometric parameters can have a more significant effect on the temperature field and stress field,if compared with the interfacial thermal resistance.

关 键 词：能量转换效率 空心纤维 应力场 级数法 

分 类 号：TB332[一般工业技术—材料科学与工程]