Stepwise Oblique Loading of Half-Spaces in Elliptical Contact

Jürgen Jäger, Blattwiesenstr. 7, D-76227 Karlsruhe, Germany

 J. Appl. Mech., 1996, Vol. 63, 766-773


Abstract: 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 Cattaneo-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 as 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.