Abstract
Three-dimensional elastic-plastic contact of two nominally flat rough surfaces is considered. Equations governing the shoulder-shoulder contact of asperities are derived based on the asperity constitutive relations from a finite element model of the elastic-plastic interaction proposed by Kogut and Etsion (2002), in which asperity scale constitutive relations are derived using piecewise approximate functions. An analytical fusion technique is developed to combine the piecewise asperity level constitutive relations. Shoulder-shoulder asperity contact yields a slanted contact force consisting of two components, one in the normal direction and a half-plane tangential component. Statistical summation of the asperity level contact force components and asperity level contact area results in the total contact force and total contact area formulae between two rough surfaces. Approximate equations are developed in closed form for contact force components and contact area.
Highlights
The GW theory [1] of contact between nominally flat rough surfaces has been preferred by numerous researchers as it benefits from relatively simple representation of a rough surface
The GW model has been followed by numerous other studies, as summarized in the review paper by Adams and Nosonovsky [2], which take into account various aspects of surface topography such as contact between two rough surfaces, nonuniform radii of the asperities, non-Gaussian distributions of the asperity summit heights, anisotropy, and plasticity
The asperity level constitutive equations were presented based on the work by Kogut and Etsion [36]
Summary
Three-dimensional elastic-plastic contact of two nominally flat rough surfaces is considered. Equations governing the shouldershoulder contact of asperities are derived based on the asperity constitutive relations from a finite element model of the elasticplastic interaction proposed by Kogut and Etsion (2002), in which asperity scale constitutive relations are derived using piecewise approximate functions. An analytical fusion technique is developed to combine the piecewise asperity level constitutive relations. Shoulder-shoulder asperity contact yields a slanted contact force consisting of two components, one in the normal direction and a half-plane tangential component. Statistical summation of the asperity level contact force components and asperity level contact area results in the total contact force and total contact area formulae between two rough surfaces. Approximate equations are developed in closed form for contact force components and contact area
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