Three-dimensional Fractal Model with Scale Correlation for Static Friction Factor of Joint Interfaces

doi:10.3901/JME.2021.09.127

Abstract

Abstract: In view of the fact that the static friction coefficient of the fractal model of the static friction coefficient of the existing interface increases with the increase of the normal contact load of the interface, which is inconsistent with the experimental results and the statistical model. The size of the micro convex body is defined based on the scale level, and the height and deformation of the micro convex body are strictly distinguished. The relationship between the normal contact load and the contact area of the micro convex body at each scale level and the calculation model of the maximum tangential load that the micro convex body can bear when the full elastic and the first elastic-plastic deformation occur are established. Finally, the calculation model of the relationship between the normal contact load and the maximum static friction force is established. On this basis, according to the definition of the static friction coefficient of the joint surface, a three-dimensional fractal model of the static friction coefficient of the joint surface is proposed, which is related to the scale level of the micro convex body and considers three deformation mechanisms of the micro convex body, i.e. complete elasticity, elastoplasticity and complete plasticity. The relationship between the static friction coefficient of the joint surface and the normal contact load and fractal dimension D is analyzed by numerical simulation. The results show that the static friction coefficient decreases with the increase of normal contact load and increases with the increase of fractal dimension. By comparing with the experiment, the correctness of the model is proved, and the inconsistency between the fractal model of static friction coefficient and the statistical model and the experimental results is solved.

Key words: joint interfaces, static friction factor, scale correlation, fractal model

CLC Number:

TH113

ZHANG Xueliang, ZHANG Wei, WEN Shuhua, YAO Shisheng. Three-dimensional Fractal Model with Scale Correlation for Static Friction Factor of Joint Interfaces[J]. Journal of Mechanical Engineering, 2021, 57(9): 127-138.

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