An Elastic-Plastic Finite Element Model of Rolling Contact, Part 2: Analysis of Repeated Contacts

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

Department of Mechanical and Materials Engineering, Vanderbilt University, Nashville, Tenn. 37235

J. Appl. Mech 52(1), 75-82 (Mar 01, 1985) (8 pages) doi:10.1115/1.3169030 History: Received January 01, 1984; Revised May 01, 1984; Online July 21, 2009


This paper presents finite element analyses of two-dimensional (plane strain), elastic-plastic, repeated, frictionless rolling contact. The analysis employs the elastic-perfectly plastic, cycle and strain-amplitude-independent material used in the Merwin and Johnson analysis but avoids several assumptions made by these workers. Repeated rolling contacts are simulated by multiple translations of a semielliptical Hertzian pressure distribution. Results at p0 /k = 3.5, 4.35, and 5.0 are compared to the Merwin and Johnson prediction. Shakedown is observed at p0 /k = 3.5, but the comparisons reveal significant differences in the amount and distribution of residual shear strain and forward flow at p0 /k = 4.35 and p0 /k = 5.0. The peak incremental, shear strain per cycle for steady state is five times the value calculated by Merwin and Johnson, and the plastic strain cycle is highly nonsymmetric.

Copyright © 1985 by ASME
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