A Prediction Model of Electrical Constriction Resistance (ECR) between Dry-Friction Rough Surfaces Based on Three-Dimensional (3-D) Fractal Theory

Abstract

In this paper, firstly, based on the fractal theory, Hertz contact theory and fractal network, the prediction model of the ECR for rough interface is established in consideration of the modified hypothesis, 3-D interface topography and elastic-plastic deformation. Secondly, using the engineering data of material, the influences of fractal dimension D, fractal roughness G , dimensionless loading force F* and friction coefficient μ on the ECR are analyzed by numerical simulation. Finally, compared with the classical models, the tendency of established model is same as that of other models. During the design stage of electrical equipment, the present model of the ECR can provide a theoretical reference for the accurate ECR prediction of rough interface.

A review of advances in tribology in 2020–2021

“…The calculation of the contact resistance considering rough surfaces and the thermal effect of current are still the main concerns at present. Based on fractal theory, Hertzian contact theory and fractal network, Liu et al [911] proposed a prediction model of the electric resistance for rough interface considering the modified hypothesis, 3D interface topography, and elastic-plastic deformation. Using the engineering data of material, the influences of fractal dimension, fractal roughness, loading force, and friction coefficient on the electric resistance were analyzed.…”