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Research Article | Open Access

New analytical model of elastic-plastic contact for three- dimensional rough surfaces considering interaction of asperities

Yuqin WEN1, Jinyuan TANG1( ), Wei ZHOU2( ), Lin LI1, Caichao ZHU3
State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083, China
Hunan Provincial Key Laboratory of High Efficiency and Precision Machining of Difficult-to-Cut Material, Hunan University of Science and Technology, Xiangtan 411201, China
State Key Laboratory of Mechanical Transmission, Chongqing University, Xiangtan 400044, China
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Abstract

The contact calculation of three-dimensional real rough surfaces is the frontier field of tribology and surface science. In this study, we consider the interaction and elastic-plastic deformation characteristics of asperities and further, propose an analytical contact calculation method for rough surfaces considering the interaction of asperities. Based on the watershed algorithm, the rough surface is segmented and the asperities are reconstructed into ellipsoids. According to the height relationship between the asperities, the definition of the deformation reference height of the matrix between each couple of asperities is provided. Subsequently, the calculation formula of the substrate deformation is provided according to the local contact pressure considering the elastic-plastic deformation of the asperity, and the contact state under a specific load is determined using the iterative correction method. The results correspond with those of finite element numerical calculation and the study reveals the following: (1) compared with the results obtained without considering the asperity interaction, contact area, distance, and stiffness will be reduced by 6.6%, 19.6%, and 49.5%, respectively, when the influence of asperity interaction is considered; (2) the interaction of the asperities has the greatest influence on the surface contact distance and stiffness. Under the same load, the existence of asperity interaction will reduce the contact distance, area, and stiffness; (3) considering the interaction of the asperities, the higher asperity will bear more load, but it will simultaneously reduce the contact of the surrounding area and increase that of the distant area. The calculation method proposed in this study has the advantages of high calculation efficiency and accuracy, thus, providing the calculation basis and method for subsequent studies on service performance of rough surfaces, such as the calculation of contact stiffness and fatigue performance analysis of rough surfaces.

Keywords

calculation methodcontact analysisinteraction of asperitiesrough surface

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Friction
Volume 10 Issue 2,
February 2022
Pages 217-231
DOI: 10.1007/s40544-020-0419-7
Cite this article:
WEN Y, TANG J, ZHOU W, et al. New analytical model of elastic-plastic contact for three- dimensional rough surfaces considering interaction of asperities. Friction, 2022, 10(2): 217-231. https://doi.org/10.1007/s40544-020-0419-7

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Received: 08 March 2020
Revised: 22 May 2020
Accepted: 13 June 2020
Published: 08 January 2021
© The author(s) 2020

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