Abstract

In this study, models are proposed to analyze the combined effect of surface microgeometry and adhesion on the load–distance dependence and energy dissipation in an approach–separation cycle, as well as on the formation and rupture of adhesive bridges during friction. The models are based on the Maugis–Dugdale approximation in normal and frictional (sliding and rolling) contacts of elastic bodies with regular surface relief. For the normal adhesive contact of surfaces with regular relief, an analytical solution, which takes into account the mutual effect of asperities, is presented. The contribution of adhesive hysteresis into the sliding and rolling friction forces is calculated for various values of nominal pressure, parameters of microgeometry, and adhesion.

Highlights

  • Adhesive interactions play a very important role in surface friction, at micro and nanoscale levels [1, 2]

  • The results indicate that the adhesion parameter λ significantly affects the dependence of the nominal pressure on the distance

  • An approach is developed to investigate the combined effect of the parameters of adhesive interaction and surface microgeometry on the contact characteristics and energy dissipation in an approach– separation cycle of elastic bodies with regular surface relief, as well as in their mutual sliding and rolling

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Summary

Introduction

Adhesive interactions play a very important role in surface friction, at micro and nanoscale levels [1, 2]. Adhesion hysteresis was taken into account as the difference in the surface energy before and after the moving contact zone Another approach was suggested by Heise and Popov [45], who calculated the sliding friction force between two rough surfaces as a result of adhesion hysteresis in the approach–separation cycle for asperities. They used the JKR model of adhesion and random distribution of heights of asperities. For the normal adhesive contact of surfaces with regular relief, an analytical solution that takes into account the mutual effect of asperities is presented

Model of adhesion
Problem formulation
Parametrization
Results of calculations
Adhesion in sliding of rough surfaces
Adhesive resistance to rolling of rough bodies
Conclusion
Full Text
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