Adhesion of elastic rough solids

Abstract

Adhesion of rough elastic solids is under consideration. Roughness is simulated by the Winkler-Fuss nonlinear elastic layer. Mechanical properties of the layer are determined by statistical theories of adhesive contact between nominally flat rough surfaces. The contact of solids are described by the nonlinear boundary integral equations with non-monotonic operators, whose solutions determine the reduction of effective thickness of the rough layer, the contact stresses and the relation between applied force P and approach of solids d. The theoretical background and numerical implementation of the models are given. Both a full model and its simplified version are analyzed.