Stepwise Loading of Half-Spaces in Elliptical Contact

[+] Author and Article Information
J. Jäger

Ernst-Friedrich-Str. 13, 76227 Karlsruhe, Germany

J. Appl. Mech 63(3), 766-773 (Sep 01, 1996) (8 pages) doi:10.1115/1.2823361 History: Received September 12, 1994; Revised March 06, 1996; Online December 04, 2007


A new analytical solution for Hertzian surfaces in contact under stepwise oblique loading is presented in this paper. It is written as a superposition of so-called Catta-neo-Mindlin functions, which represent the tangential stress distribution for constant normal and monotonically increasing tangential forces. The size of the stick zone is determined by cones in the force space, which are also known as yield cones. It has a simpler form than the differential force-displacement relations of plasticity theory and the numerical discretization of the influence integrals. A short computer algorithm is proposed and compared with a numerical solution of the discretized problem.

Copyright © 1996 by The American Society of Mechanical Engineers
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