Research on 2-D adaptive rough surface for asperity contact problem

Abstract

A series of 2-D rough surfaces with different roughness and correlative length are generated by using numerical method. A dependent parameter, δ̄, which is the ratio of adaptive threshold to root mean square curvature, is presented to give an empiristic selection for thresholds of different rough surfaces for fast elastic-plastic asperity contact calculation. Contact pressures distribution and stress contours of the numerically generated adaptive surfaces are illustrated, and the corresponding relative errors of real contact area and average gap between the adaptive surfaces and the original one are given. The results show that the values of relative error of average gap and real contact area are not more than 15% and 10% respectively.