A Piecewise Calculation Model for Fractal Rough Surface Contact Deformation

Expand
  • School of Manufacturing Science and Engineering, Sichuan University, Chengdu 610000, China

Abstract

To address the existing problems of fractal theory, a piecewise calculation model was proposed. This new model was calculated by different functions with the corresponding parameters set by the wavelength. The fractal detail and deformation process of asperity were considered in this model. The contact deformation process of rough surface was studied and the relationship between real contact area and load was given. The analysis results showed that contact deformation process of rough surface is a transition from plastic to elastic contact model, where elastic deformation and plastic deformation model alternately take place. The top radius of curvature of the asperity is a fixed value which is independent of the deformation under a certain scale. When the fractal dimension is close to 1, the rough surface is dominated by the plastic deformation, and the surface contact property is only affected by the material. An optimal value of fractal dimension is existed when the rough surface contact property is the best.

Cite this article

CHEN Hongxu,DONG Guanhua,XIE Luofeng,YIN Ming,YIN Guofu . A Piecewise Calculation Model for Fractal Rough Surface Contact Deformation[J]. Journal of Shanghai Jiaotong University, 2018 , 52(6) : 722 -728 . DOI: 10.16183/j.cnki.jsjtu.2018.06.014

References

[1]葛世荣, 朱华. 摩擦学的分形[M]. 北京: 机械工业出版社, 2005. GE Shirong, ZHU Hua. Fractal in tribology [M]. Beijing: China Machine Press, 2005. [2]GREENWOOD J A, WILLIAMSON J B P. Contact of nominally flat surfaces [J]. Proceedings of the Ro-yal Society A: Mathematical, Physical and Engineering Sciences, 1966, 295(1442): 300-319. [3]SAYLES R S, THOMAS T R. Surface topography as a non-stationary random process [J]. Nature, 1978, 271: 431-434. [4]MAJUMDAR A, BHUSHAN B. Fractal model of elastic-plastic contact between rough surfaces [J]. Journal of Tribology, 1991, 113(1): 1-11. [5]MANDELBROT B B. Stochastic models for the earth’s relief, the shape and the fractal dimension of the coastlines, and the number-area rule for islands [J]. Proceedings of the National Academy of Sciences, 1975, 72(10): 3825-3828. [6]KOGUT L, ETSION I. Elastic-plastic contact analysis of a sphere and a rigid flat [J]. Journal of Applied Mechanics, 2002, 69(5): 657-662. [7]LIU P, ZHAO H, HUANG K, et al. Research on normal contact stiffness of rough surface considering friction based on fractal theory [J]. Applied Surface Science, 2015, 349: 43-48. [8]赵波, 戴旭东, 张执南, 等. 单峰接触研究及其在分形表面接触中的应用[J]. 摩擦学学报, 2014, 34(2): 217-224. ZHAO Bo, DAI Xudong, ZHANG Zhinan, et al. Single asperity contact and its use for fractal surface contact [J]. Tribology, 2014, 34(2): 217-224. [9]丁雪兴, 严如奇, 贾永磊. 基于基底长度的粗糙表面分形接触模型的构建与分析[J]. 摩擦学学报, 2014, 34(4): 341-347. DING Xuexing, YAN Ruqi, JIA Yonglei. Construction and analysis of fractal contact mechanics model for rough surface based on base length [J]. Tribology, 2014, 34(4): 341-347. [10]MORAG Y, ETSION I. Resolving the contradiction of asperities plastic to elastic mode transition in current contact models of fractal rough surfaces [J]. Wear, 2006, 262(5/6): 624-629. [11]LIOU J L, CHI M T, LIN J F. A microcontact mo-del developed for sphere- and cylinder-based fractal bodies in contact with a rigid flat surface [J]. Wear, 2010, 268(3/4): 431-442. [12]甘立, 原园, 刘凯, 等. 分形粗糙表面弹塑性接触力学模型[J]. 应用力学学报, 2016, 33(5): 738-743. GAN Li, YUAN Yuan, LIU Kai, et al. Fractal rough surface elastic-plastic contact mechanics mode [J]. Chinese Journal of Applied Mechanics, 2016, 33(5): 738-743. [13]YAN W, KOMVOPOULOS K. Contact analysis of elastic-plastic fractal surfaces [J]. Journal of Applied Physics, 1998, 84(7): 3617-3624. [14]PULLEN J, WILLIAMSON J B P. On the plastic contact of rough surfaces [J]. Proceedings of the Ro-yal Society A: Mathematical, Physical and Engineering Sciences, 1972, 327(1569): 159-173. [15]WANG S, KOMVOPOULOS K. A fractal theory of the interfacial temperature distribution in the slow sliding regime: Part I—Elastic contact and heat transfer analysis [J]. Journal of Tribology, 1994, 116(4): 812-822. [16]KOMVOPOULOS K, YE N. Three-Dimensional contact analysis of elastic-plastic layered media with fractal surface topographies [J]. Journal of Tribology, 2001, 123(3): 632-640. [17]张学良, 陈永会, 温淑花, 等. 考虑弹塑性变形机制的结合面法向接触刚度建模[J]. 振动工程学报, 2015, 28(1): 91-99. ZHANG Xueliang, CHEN Yonghui, WEN Shuhua, et al. Considering elastic-plastic deformation mechanism of the joint surface normal contact stiffness model [J]. Journal of Vibration Engineering, 2015, 28(1): 91-99.
Options
Outlines

/