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Traditional laws of friction believe that the friction coefficient of twospecific solids takes constant value. However, molecular simulations revealedthat the friction coefficient of nanosized asperity depends strongly on contactsize and asperity radius. Since contacting surfaces are always rough consistingof asperities varying dramatically in geometric size, a theoretical model isdeveloped to predict the friction behavior of fractal rough surfaces in thiswork. The result of atomic-scale simulations of sphere-on-flat friction issummarized into a uniform expression. Then, the size dependent feature offriction at nanoscale is incorporated into the analysis of fractal roughsurfaces. The obtained results display the dependence of friction coefficienton roughness, material properties and load. It is revealed that the frictioncoefficient decreases with increasing contact area or external load. This modelgives a theoretical guideline for the prediction of friction coefficient andthe design of friction pairs.

A Friction Model of Fractal Rough Surfaces Accounting for Size Dependence at Nanoscale