The effect of statistical parameters of roughness distribution in the analysis of contact problem

In this research‚ the studies about the behavior of contact mechanics among other surfaces have been presented according to the statistical functions. Also‚ with the knowledge of the statistical parameters of roughness‚ the certain area roughness of the studied surfaces has been predicted by using a Gaussian statistical function. The obtained data is the base of defining the geometry of the surfaces which contacts together. As a matter of fact, by modelling the surface geometry‚ the mechanical behavior of the two contacted surfaces have been calculated in two different conditions as follows: loading conditions of 500 and 5000 micro-Newton’s by finite element method. The elastic and plastic behavior of the involved surfaces are investigated under two loading conditions and have been considered in detail. At some point‚ examples such as the quality of contact surfaces in the macroscopic scope‚ contact area‚ the height of vertices‚ and weight function are discussed. The result showed that the roughness of the surface is undesirable‚ but it is a stress-intensifying factor. Regarding the statistical characteristics of the roots-mean-square‚ it can be found that the shrinkage of the roots-mean-square of the surface leads to the decline in the height of the vertices in the surface which‚ in turn‚ results in a decrease in contact stress.