On the Effect of Spectral Characteristics of Roughness on Contact Pressure Distribution

Abstract

In the first part of the paper, the matrix containing the roughness heights is obtained by a linear transformation of the Gaussian input matrix, the coefficients of the transformation matrix being found as solutions of a non-linear system of algebraic equations in which the free terms are the components of the desired autocorrelation function. In the second part of the paper, a fast computer code is involved to solve the elastic-plastic contact between rough surfaces. The subsurface stress fields were compared using the von Mises equivalent stress and the role played by the autocorrelation length on both pressure distribution and stress state has been pointed out.