Page 71 - 《摩擦学学报》2020年第5期

第 40 卷 第 5 期 摩 擦 学 学 报 Vol 40 No 5
2020 年 9 月 Tribology Sept, 2020

DOI: 10.16078/j.tribology.2019256

考虑摩擦系数和微凸体相互作用的

粗糙表面接触热导分形模型

*
孙献光 , 孟春晓, 段田堂
(东北大学 机械工程与自动化学院，辽宁 沈阳 110819)

摘 要: 基于三维分形理论，建立了考虑摩擦系数和微凸体相互作用的粗糙表面接触热导分形模型，并且考虑了微
凸体的弹性变形、弹塑性变形和完全塑性变形. 通过该模型，分析了摩擦系数、分形维数、分形粗糙度和接触载荷对
热接触热导的影响. 研究结果表明：接触热导随着摩擦系数和分形粗糙度的增大而减小，随着分形维数和接触载荷
的增大而增大. 该研究为开展接合面的热传递提供了一定的理论基础.
关键词: 接触热导; 粗糙表面; 摩擦系数; 微凸体相互作用; 分形理论
中图分类号: TH117.3 文献标志码: A 文章编号: 1004-0595(2020)05–0626–08

A Fractal Model of Thermal Contact Conductance of

Rough Surfaces Considering Friction Coefficient
and Asperity Interaction

*
SUN Xianguang , MENG Chunxiao, DUAN Tiantang

(School of Mechanical Engineering and Automation, Northeastern University, Liaoning Shenyang 110819, China)
Abstract: A fractal model of thermal contact conductance of rough surfaces considering friction coefficient and asperity
interaction was established based on the three-dimensional fractal theory, and the elastic deformation, elastic-plastic
deformation and full plastic deformation of the asperity were considered. The effects of friction coefficient, fractal
dimension, fractal roughness and contact load on thermal contact conductance were analyzed using the proposed model.
The results indicated that the thermal contact conductance decreased with the increase of friction coefficient and fractal
roughness, and increased with the increase of fractal dimension and contact load. This study provided some theoretical
basis for heat transfer between contact surfaces.
Key words: thermal contact conductance; rough surfaces; friction coefficient; asperity interaction; fractal theory

1 Introduction and establish an effective model to predict the TCC of

the rough surfaces.
Thermal contact conductance (TCC), the reciprocal
Numerous research works have been conducted to
of thermal contact resistance (TCR), plays an important [4-5]
predict the TCC . The effects of interfacial tempe-
role in machine and mechanical devices such as ball
rature of the rough surfaces on the TCC were
bearings, low temperature and heat exchangers [1-3] . In
investigated by experiment in Ref [6-9]. Tariq and
[10]
some cases, ignoring its influence will cause thermal Asif designed an experimental set-up for measuring
deformation and poor working precision of the the TCC of rough surfaces, and the influences of some
mechanical systems. Therefore, it is necessary to study parameters such as surface roughness, material

Received 21 December 2019, revised 19 February 2020, accepted 28 February 2020, available online 28 August 2020.
*Corresponding author. E-mail address: xianguang_good@163.com, Tel: +86-18765861168.