C.M. Churchman

Asymptotic results for slipping complete frictional contacts

The order of singularity at the edge of a complete slipping contact depends on the material combination, the wedge angle, the coefficient of friction, and the relative direction of slip. Additionally, for a given coefficient of friction, slipping in one direction alleviates the stress state whilst slipping in the other direction, exacerbates it. However, it is known that there are material combinations for which the response cited above reverses. This paper investigates the boundary delimiting these different responses, and highlights some useful results.

Asymptotic Solutions for Contact Problems: The Effect of an Internal Discontinuity in Surface Profile

Abstract The contact pressure adjacent to the apex of a tilted punch is studied and used to form a refined, two-term asymptote for the contact pressure at a point of discontinuous gradient interior to a half-plane contact problem. The asymptote is compared with the full solution for an example problem, the wheel with a flat.