A Minimum Principle for the Law of Dry Friction—Part 2: Application to Nonsteadily Rolling Elastic Cylinders

[+] Author and Article Information
J. J. Kalker

Institute of Mathematics, Delft University of Technology, The Netherlands

J. Appl. Mech 38(4), 881-887 (Dec 01, 1971) (7 pages) doi:10.1115/1.3408970 History: Received May 25, 1970; Revised November 27, 1970; Online July 12, 2010


A minimum principle for the law of dry friction was established in Part 1 of this paper. Here, in Part 2, the principle is applied to the nonsteady contact problem in which the traction evolves under the influence of a gross motion and loading program, and the principle appears to lead to a time sequence of linear programming problems. Such contact problems under several restrictions have been treated before by Kalker [3–5] without the aid of minimization techniques. In the present paper these restrictions are all removed. Numerical results are presented.

Copyright © 1971 by ASME
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