An experimental method for quantitative analysis of real contact area based on the total reflection optical principle

doi:10.1088/1674-1056/28/5/054601

Abstract The simulation of real contact area between materials is foundationally important for the contact mechanics of mechanical structures. The Greenwood and Williamson (GW) model and the Majumdar (MB) model are the basic models in this field, which are widely accepted and proven to be valid in many experiments and engineering. Although the contact models have evolved considerably in recent years, the verifications of the models are most based on the indirect methods such as electrical conductivity and contact stiffness, because of the lack of effective methods to directly measure the variation of contact surface. In this paper, the total reflection (TR) method is introduced into the verification of contact models. An experiment system based on TR method is constructed to measure the real contact area of two PMMA specimens. The comparison analysis between the results of experiment and models suggests that the experiment result has the same trend with simulation, the MB model has better agreement with the experimental result because this method can take into account the variation of radius and the merging of asperities, while the GW model has a huge deviation because of the dependence on resolution and the lack of considering the variation of radius and asperity's merging process. Taking the interaction of asperities into account could give a better result that is closer to the experiment. Our results and analysis prove that the experimental methods in this paper could be used as a more direct and valid method to quantitatively measure the real contact area and to verify the contact models.

Keywords: real contact area Greenwood and Williamson (GW) model Majumdar (MB) model Persson's model total reflection (TR) method

Received: 30 November 2018
Revised: 16 January 2019
Accepted manuscript online:

PACS:	46.55.+d	(Tribology and mechanical contacts)
	42.30.Va	(Image forming and processing)
	78.20.Ci	(Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity))

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11872033) and the Beijing Natural Science Foundation, China (Grant No. 3172017).

Corresponding Authors: Shaoze Yan
E-mail: yansz@mail.tsinghua.edu.cn

Cite this article:

Zhijun Luo(罗治军), Baojiang Song(宋保江), Jingyu Han(韩靖宇), Shaoze Yan(阎绍泽) An experimental method for quantitative analysis of real contact area based on the total reflection optical principle 2019 Chin. Phys. B 28 054601

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An experimental method for quantitative analysis of real contact area based on the total reflection optical principle

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