New analytical model of elastic-plastic contact for three-dimensional rough surfaces considering interaction of asperities

Abstract The contact calculation of three-dimensional real rough surfaces is the frontier field tribology and surface science. In this study, we consider interaction elastic-plastic deformation characteristics asperities further, propose an analytical method for considering asperities. Based on watershed algorithm, segmented are reconstructed into ellipsoids. According to height relationship between asperities, definition reference matrix each couple provided. Subsequently, formula substrate provided according local pressure asperity, state under a specific load determined using iterative correction method. results correspond with those finite element numerical study reveals following: (1) compared obtained without asperity interaction, area, distance, stiffness will be reduced by 6.6%, 19.6%, 49.5%, respectively, when influence considered; (2) has greatest distance stiffness. Under same load, existence reduce stiffness; (3) higher bear more but it simultaneously surrounding area increase that distant area. proposed in advantages high efficiency accuracy, thus, providing basis subsequent studies service performance surfaces, such as fatigue analysis surfaces.