The scale effect of roughness in contact problems

摘要

In this paper we have used the Hoelder exponent to characterise the scale of roughness and to study the scale effect of high spatial frequencies on elastic contact between solids. The mathematical approach shows that the Hoelder exponent of roughness is a sophisticated tool for modelling realistic surface roughness at different scales of observation. The incidence of Hoelder exponent on the prediction of pressure and displacement is studied in elastic contact between a smooth plane and rough surface.