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research-article

Model for Elastic-Plastic Contact between Rough Surfaces

[+] Author and Article Information
Zhiqian Wang

Henan Key Laboratory of Photovoltaic Materials, College of Physics and Electronic Engineering, Henan Normal University, Xinxiang 453007, China
wo_wangzhiqian@sina.com

Xingna Liu

Henan Key Laboratory of Photovoltaic Materials, College of Physics and Electronic Engineering, Henan Normal University, Xinxiang 453007, China
lxnhtu@163.com

1Corresponding author.

ASME doi:10.1115/1.4040385 History: Received March 21, 2018; Revised May 20, 2018

Abstract

This paper studies elastic-plastic contact of Greenwood-Williamson (GW) rough surfaces, on which there are many asperities with the same radius whose height obeys Gaussian distribution. The formulas for the load/area-separation relationship of rough surfaces have been presented based on Wang's smooth model of singe-asperity elastic-plastic contact, which improved Kogut-Etsion (KE) empirical model from finite-element-analysis (FEA) data. We find that the load/area-separation relationship can also be described by empirical Gaussian functions. The load-area relationship of rough surfaces is approximately linear. Utilizing Wang's conclusion that Etsion's single-asperity elastic-plastic loading (EPL) index is approximately equal to the ratio of the single-asperity residual plastic contact displacement to the single-asperity total elastic-plastic contact displacement, the formula for Etsion's modified plasticity index (MPI) of elastic-plastic contact of rough surfaces are also presented. We find that the MPI is approximately linear with the separation of rough surfaces for a given GW plasticity index (the standard deviation of the asperity height of rough surfaces ranging from 5 to 30), and an empirical formula has been presented. When the standard deviation is smaller than 5, due to the large proportion of the elastic deformation in the total deformation, the MPI will slightly deviate from linearity.

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