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Research Article | Open Access

A semi-analytical approach to the elastic loading behaviour of rough surfaces

Xiaogang ZHANG1, Yali ZHANG1( ), Zhongmin JIN1,2,3
School of Mechanical Engineering, Southwest Jiaotong University, Chengdu 610031, China
School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, China
Schoolof Mechanical Engineering, University of Leeds, Leeds LS2 9JT, UK
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Abstract

The elastic loading behaviour of rough surfaces is derived based on the physical understanding of the contact phenomena, where the pressure distribution is analytically obtained without any negative values or convergence problems, thus the evolution of the contact behaviour is obtained in a semi-analytical manner. Numerical results obtained by the proposed approach facilitate the understanding of the contact behaviour in the following aspects: 1) the ratio of contact area to load decreases with an increase in real contact area; 2) normal approach-load relationship is approximated by an exponential decay under relatively small loads and a linear decay under relatively large loads; and 3) average gap shows an exponential relationship with load only in moderate load range.

Keywords

surface roughnessreal contact areainterfacial stiffnessnormal contact stiffness

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Friction
Volume 8 Issue 5,
October 2020
Pages 970-981
DOI: 10.1007/s40544-019-0320-4

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Cite this article:
ZHANG X, ZHANG Y, JIN Z. A semi-analytical approach to the elastic loading behaviour of rough surfaces. Friction, 2020, 8(5): 970-981. https://doi.org/10.1007/s40544-019-0320-4

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Received: 21 March 2019
Revised: 10 June 2019
Accepted: 28 July 2019
Published: 05 December 2019
© The author(s) 2019

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