Elastoplastic Finite Element Analysis of Three-Dimensional, Pure Rolling Contact at the Shakedown Limit

[+] Author and Article Information
S. M. Kulkarni, G. T. Hahn, C. A. Rubin, V. Bhargava

Center for Materials Tribology, Vanderbilt University, Nashville, TN 37235

J. Appl. Mech 57(1), 57-65 (Mar 01, 1990) (9 pages) doi:10.1115/1.2888324 History: Received October 10, 1988; Revised April 10, 1989; Online March 31, 2008


This paper describes a three-dimensional elastoplastic finite element model of repeated, frictionless rolling contact. The model treats a sphere rolling on an elastic-perfectly plastic and an elastic-linear-kinematic-hardening plastic, semi-infinite half space. The calculations are for a relative peak pressure (po /k ) = 4.68 (the theoretical shakedown limit for perfect plasticity). Three-dimensional rolling contact is simulated by repeatedly translating a hemispherical (Hertzian) pressure distribution across an elastoplastic semi-infinite half space. The semi-infinite half space is represented by a finite mesh with elastic boundaries. The calculations describe the distortion of the rim, the residual stress-strain distributions, stress-strain histories, and the cyclic plastic strain ranges in the vicinity of the contact.

Copyright © 1990 by The American Society of Mechanical Engineers
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