Abstract
This paper describes a theoretical study of adhesive friction at the contact between rough surfaces with small-scale surface asperities using a scale-dependent friction model and an elastic–plastic model of contact deformation that is based on accurate finite element analysis of an elastic–plastic single asperity contact. The single asperity friction model of Hurtado and Kim is integrated with the Johnson–Kendall–Roberts adhesion model to consider the adhesive friction behaviour of rough surfaces. The model considers a large range of interference values from fully elastic through elastic–plastic to fully plastic regimes of contacting asperities. Four non-dimensional parameters, namely, surface roughness parameter, friction regime parameter, adhesion parameter and plasticity index, are used to consider different conditions that arise as a result of varying load, surface and material parameters. Results are obtained for the coefficient of friction against applied load for various combinations of these parameters. The results show that the coefficient of friction depends strongly on applied load, surface roughness and adhesion. However, the friction coefficient is less sensitive to the plasticity index and the friction regime parameter. Adhesive friction can be reduced by modifying the surfaces so as to yield a high surface roughness parameter and low adhesion parameter.
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