Height-Dependent Asperity Radii of Curvatures in a Contact and Friction Model

The effect of a height-dependent asperity radius of curvature is accounted for in a recently developed scale-dependent model of contact and friction. The contact and friction model includes the effects of adhesion, using the Maugis model, and of scale-dependent friction, using the Hurtado and Kim single asperity friction model. This multi-asperity model has been modified to include the effect of non-contacting asperities. The results indicate the types of conditions under which the effects of a height-dependent asperity radius of curvature affects friction.