Complementarity Problem Formulation of Three-Dimensional Frictional Contact

[+] Author and Article Information
B. M. Kwak

Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Seoul, Korea 135

J. Appl. Mech 58(1), 134-140 (Mar 01, 1991) (7 pages) doi:10.1115/1.2897140 History: Accepted June 06, 1989; Received June 06, 1989; Online March 31, 2008


A general three-dimensional frictional contact problem has been formulated in the form of a complementarity problem in an incremental analysis setting. The derivation is straight forward and very natural. It is shown that the complementarity problem for a three-dimensional case is inherently nonlinear, not like the two-dimensional problem where a linear complementarity problem formulation is possible. The two-dimensional case is a special case of the three-dimensional formulation. Approximate linear complementarity problems of the nonlinear complementarity problem by a Newton approach, or by introducing polyhedral law of friction, have been proposed for efficient numerical implementations.

Copyright © 1991 by The American Society of Mechanical Engineers
Topics: Friction
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