Author(s)

J. Jaeger

Abstract

The traction, moment and the twisting angle of two geometrically and materially identical elastic spheres in Hertzian contact are computed, acted upon by a varying normal force and a varying torsional couple. It has been found that, in the case of a monotonically increasing couple with constant normal force, the contact area is split into an inner, circular area of adhesion and an outer, annular region of partial slip. The traction distribution for this problem is called a Lubkin function, and it is shown that general load-histories can be presented as a sum of Lubkin functions. An approximation for the moment and the twisting angle is introduced, which is valid for the entire range of the twisting angle, with an error less than 3%. It is also shown that the number of Lubkin functions, which are nec

Keywords