Theoretical Analysis and Numerical Simulation of Contact Deformation With Regard to Isotropic Surface Texture and Micro-Waviness

摘要

This paper deals with elastic and plastic behavior of contacting between flat surface and random surface with isotropic surface texture and micro-waviness. A novel analytical model was proposed that assumes all the asperity tips are of spherical shape and their radii of curvature are correlated with their summit height levels depending on the statistical distribution of the summit height. The interaction among contacting asperities was taken into account and so statistical distribution of distance among the summits was introduced. The elastic deformation of each contacting asperity under light vertical load was formulated by considering the influence of other neighboring asperities. A computer simulation program was established through the displacement equilibrium condition. This numerical procedure was applied to the model surfaces with micro-waviness of different amplitude and wavelength. Representative interfacial parameters between two surfaces in contact, such as real contact area, number of contact spots and total elastic deformation were computed, and it was revealed that overall real contact area depends mostly on microscopic surface texture and surface displacement distribution varies considerably with micro-waviness. The simulation results by the proposed model were also compared with those calculated by the Greenwood-Williamson model.