Models of adhesive contact between rough elastic solids

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

► Adhesive contact of rough elastic solids with curved nominal surface is considered.
► Roughness is considered as the layer with properties different from bulk properties.
► This layer resists to compressive and tensile (in case of adhesion) stresses.
► Micro-geometry of roughness and geometry of bodies significantly influence adhesion.
► Models are useful in analysis of material properties by depth-sensing indentation.