Some History-Dependent Problems for Dissimilar Cylinders With Finite Friction

Abstract

This paper is concerned with the problem of contact between two dissimilar elastic cylinders. The cylinders are pressed together by a compressive force, P, and loaded by a tangential force, H, which is transmitted in the form of a distribution of frictional tractions at the interface. We assume that Coulomb’s law of friction holds at the interface. We develop a numerical algorithm which is sufficiently general to deal with an arbitrary history of normal and tangential loading, P(t), H(t) and which retains the full description of the coupling between the normal and tangential tractions. The proposed algorithm gives good numerical accuracy in comparison with previous analytical and numerical solutions of a variety of problems for normal and tangential loading of two contacting cylinders with friction. It is also found to be very efficient in the use of computer time. Results for some previously unsolved problems involving the full coupling between normal and tangential contact tractions indicate that such coupling can have a significant effect on the solution, particularly in regard to the extent of slip and stick zones within the contact area.