Analysis of cross-correlation between wearing surfaces by stochastic simulation of repeated truncation

Simulation of wear based on a model of truncation is conducted using a stochastic method in order to study the mechanisms by which sliding surfaces improve geometrical conformity in the running-in process. Contacting surfaces are divided into segments such that one surface makes contact with different positions on the other surface. Heights of the segments are represented by a multivariate joint probability density function, and repeated contact changes the form of the function. The conformity is represented by the cross-correlation coefficient between the surfaces, which is calculated from the density function. The results show that the model gives greater conformity than predicted by the simple truncation model previously offered, and the final cross-correlation depends on the number of contacting segments and the initial correlation between the segments within each surface.