Analysis of edge slipping in a complete and adhesive contact of elastically dissimilar bodies subject to normal indentation

Abstract

A slipping at the edge of a complete contact problem is studied. An asymptotic method is first used for the stress evaluation in the vi- cinity of the contact edge. The characteristics of the induced eigenvalue problem are solved. The influence of the contacting material's dissimilarity on the eigensolutions is particularly investigated. Generalized stress intensity factors are defined with developing a method to select the mode separation angles. Assistance of a finite element analysis is explained, which is necessary to deduce the asymptotic solution of a semi-infinite body to a finite problem. Normalization of the stress equation with respect to the recently exploited parameters of length and stress dimensions (do and Go, respectively) is also introduced. The condition of edge slipping is suggested by comparing the coefficient of friction with the ratio of eigenvectors of the shear and normal components. It was found that a leading edge slip will be formed in the vicinity of the contact edge. A trailing edge slip may take place inside the contact region. The size of the leading edge slip region is also evaluated. This dramatically decreases if the coefficient of friction increases as reasonably expected.