Adhesion Contact of Bodies with Curved Rough Surface

The model of normal adhesion contact between elastic bodies with stochastic surface roughness is considered. Roughness is modeled by a Winkler–Fuss nonlinear layer, which can resist contact compression and tension (in the case of adhesion). The mechanical properties of the layer are determined by statistical theories of adhesion contact between nominally flat rough surfaces. The contact of solids is described by nonlinear boundary integral equations with nonmonotonic operators. Their solutions determine the reduction of the effective thickness of the rough layer, contact stresses, contact domains, and adhesion strength. Formulas for calculating the adhesion force are presented for the most common case of a nominal gap between the contacting bodies.