The influence of rounded edges on indentation by a flat punch

Abstract

The contact problem and stress state for indentation by a flat punch with rounded edges is studied. For the contact problem itself analytical solutions are obtained for both surface pressure and interior stress fields. Cases of normal indentation and frictional contact, the latter in both sliding or partial slip conditions, are all treated. The transition from the Hertzian configuration to the contact between a nominally flat pad and contacting flat surface is discussed, and it is found that the strength of the contact decays surprisingly slowly. Regarding the von Mises yield parameter, there is a range of configurations for which the strength is actually higher than the Hertzian one, and the strength decays only when the corner radii are very small. The present solution is therefore a realistic alternative to the classical rigid-flat punch idealization, and has particular application to fretting fatigue tests.

An efficient numerical method for the solution of sliding contact problems

“…Secondly, fully sliding contact is considered between a rigid flat punch with rounded corner and an elastic substrate. Frictionless contact for this case has been investigated by Ciavarella et al [20].…”

“…We now wish to introduce a further approximation, and solve Equation (20) by enforcing the equality only at a finite number of collocation points x = x j . We require a judicious choice of collocation points to achieve an efficient solution.…”

“…We require a judicious choice of collocation points to achieve an efficient solution. By choosing in Equation (20) …”

A combined testing and modelling approach to the prediction of the fretting fatigue performance of splined shafts

“…In a recent paper, the contact between an indenter having the form of a flat central region with edge radii was considered in some detail [2]. The first output variable derived was the contact pressure distribution, and typical results are shown in Fig.…”

Journal of the mechanics and physics of solids

“…2(d). A solution for this problem has been available in the Russian literature for some time (Steuerman, 1949), and an accessible solution in English was given by Ciavarella et al (1998). There, it is shown that the contact pressure is…”