Page 78 - 《摩擦学学报》2020年第5期

第 5 期 孙献光, 等: 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 633

contacts at low temperatures[J]. Cryogenics, 2004, 44(10): 727–734. [20] Zhao Y, Fang C, Cai L, et al. A three-dimensional fractal theory
doi: 10.1016/j.cryogenics.2004.04.004. based on thermal contact conductance model of rough surfaces[J].
[ 9 ] Xiao Y, Sun H, Xu L, et al. Thermal contact conductance between Proceedings of the Institution of Mechanical Engineers, Part E:
solid interfaces under low temperature and vacuum[J]. Review of Journal of Process Mechanical Engineering, 2018, 232(5): 528–539.
Scientific Instruments, 2004, 75(9): 3074–3076. doi: 10.1063/1.17 doi: 10.1177/0954408917727198.
86356. [21] Li Xiaopeng, Liu Yang, Wang Xue, et al. Modeling of 3-D fractal
[10] Tariq A, Asif M. Experimental investigation of thermal contact thermal contact conductance and multi-parameter effect analyses[J].
conductance for nominally flat metallic contact[J]. Heat and Mass Journal of Vibration and Shock, 2018, 37(5): 1–6 (in Chinese) [李小
Transfer, 2016, 52(2): 291–307. doi: 10.1007/s00231-015-1551-1. 彭, 刘洋, 王雪, 等. 三维分形接触热导的建模与多参数影响分析
[11] Cooper M G, Mikic B B, Yovanovich M M. Thermal contact
[J]. 振动与冲击, 2018, 37(5): 1–6].
conductance[J]. International Journal of Heat and Mass Transfer,
[22] Sun Xianguang, Meng Chunxiao, Duan Tiantang. Research on
1969, 12(3): 279–300. doi: 10.1016/0017-9310(69)90011-8.
fractal model of thermal contact conductance between two cylinders’
[12] Jeng Y, Chen J, Cheng C. Theoretical and experimental study of a
joint surfaces[J]. Chinese Journal of Solid Mechanics, 2019, 40(6):
thermal contact conductance model for elastic, elastoplastic and
552–559 (in Chinese) [孙献光, 孟春晓, 段田堂. 两圆柱体结合面
plastic deformation of rough surfaces[J]. Tribology Letters, 2003,
的 接 触 热 导 分 形 模 型 研 究 [J]. 固 体 力 学 学 报 , 2019, 40(6):
14(4): 251–259. doi: 10.1023/A:1022632801251.
552–559]. doi: 10.19636/j.cnki.cjsm42-1250/o3.2019.027.
[13] Jiang S, Zheng Y. An analytical model of thermal contact resistance
[23] Yan W, Komvopoulos K. Contact analysis of elastic-plastic fractal
based on the Weierstrass-Mandelbrot fractal function[J].
surfaces[J]. Journal of Applied Physics, 1998, 84(7): 3617–3624.
Proceedings of the Institution of Mechanical Engineers, Part C:
doi: 10.1063/1.368536.
Journal of Mechanical Engineering Science, 2010, 224(4): 959–967.
[24] Wang R, Zhu L, Zhu C. Research on fractal model of normal contact
doi: 10.1243/09544062JMES1799.
stiffness for mechanical joint considering asperity interaction[J].
[14] Zou M, Yu B, Cai J, et al. Fractal model for thermal contact
International Journal of Mechanical Sciences, 2017, 134: 357–369.
conductance[J]. Journal of Heat Transfer, 2008, 130(10): 101301.
doi: 10.1016/j.ijmecsci.2017.10.019.
doi: 10.1115/1.2953304.
[25] Jiang S, Zheng Y, Zhu H. A contact stiffness model of machined
[15] Zhang Lin, Feng Yanhui, Wang Zhixue. Prediction of thermal
plane joint based on fractal theory[J]. Journal of Tribology, 2010,
contact conductance based on monte carlo simulation and fractal
132(1): 011401. doi: 10.1115/1.4000305.
theory[J]. Journal of Chongqing University of Technology (Natural
[26] Pan W, Li X, Wang L, et al. Influence of contact stiffness of joint
Science), 2019, 33(7): 74–80 (in Chinese) [张琳, 冯妍卉, 王智学.
surfaces on oscillation system based on the fractal theory[J]. Archive
基于蒙特卡洛法和分形理论的接触导热计算[J]. 重庆理工大学学
of Applied Mechanics, 2018, 88(4): 525–541. doi: 10.1007/s00419-
报(自然科学), 2019, 33(7): 74–80].
017-1325-y.
[16] Ma C, Zhao L, Shi H, et al. A geometrical –mechanical –thermal
[27] Li X, Yue B, Zhao G, et al. Fractal prediction model for normal
predictive model for thermal contact conductance in vacuum
contact damping of joint surfaces considering friction factors and its
environment[J]. Proceedings of the Institution of Mechanical
simulation[J]. Advances in Mechanical Engineering, 2014, 6:
Engineers, Part B: Journal of Engineering Manufacture, 2016,
378518. doi: 10.1155/2014/378518.
230(8): 1451–1464. doi: 10.1177/0954405415611358.
[28] Kogut L, Etsion I. Elastic-plastic contact analysis of a sphere and a
[17] Liu J, Ma C, Wang S, et al. Thermal contact resistance between
rigid flat[J]. Journal of Applied Mechanics, 2002, 69(5): 657–662.
bearing inner ring and shaft journal[J]. International Journal of
doi: 10.1115/1.1490373.
Thermal Sciences, 2019, 138: 521–535. doi: 10.1016/j.ijthermalsci.
[29] Chen Yonghui, Zhang Xueliang, Wen Shuhua, et al. Research on
2019.01.022.
[18] Ji C, Zhu H, Jiang W. Fractal prediction model of thermal contact continuous smooth exponential model of elastic-plastic contact and
conductance of rough surfaces[J]. Chinese Journal of Mechanical normal contact stiffness of rough surface[J]. Journal of Xi ’an
Engineering, 2013, 26(1): 128–136. doi: 10.3901/CJME.2013. Jiaotong University, 2016, 50(7): 58–67 (in Chinese) [陈永会, 张学
01.128. 良, 温淑花, 等. 粗糙表面弹塑性接触连续光滑指数函数模型与法
[19] Zhang J, Liu Y, Yan K, et al. A fractal model for predicting thermal 向接触刚度研究[J]. 西安交通大学学报, 2016, 50(7): 58–67]. doi:
contact conductance considering elasto-plastic deformation and base 10.7652/xjtuxb201607010.
thermal resistances[J]. Journal of Mechanical Science and [30] Yin X, Komvopoulos K. An adhesive wear model of fractal surfaces
Technology, 2019, 33(1): 475–484. doi: 10.1007/s12206-018-1247- in normal contact[J]. International Journal of Solids and Structures,
9. 2010, 47(7-8): 912–921. doi: 10.1016/j.ijsolstr.2009.12.003.