Three-Dimensional Frictional Contact Analysis Using the Homotopy Method

[+] Author and Article Information
J. K. Park, B. M. Kwak

Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, 373-1, Kusong-dong, Yusung-gu, Taejon 305-701, Korea

J. Appl. Mech 61(3), 703-709 (Sep 01, 1994) (7 pages) doi:10.1115/1.2901517 History: Received November 16, 1992; Revised June 17, 1993; Online March 31, 2008


A three-dimensional contact problem with the orthotropic Coulomb friction is formulated in the form of a system of nonlinear equations. The nonlinear complementarity formulation derived naturally from the three-dimensional frictional contact phenomenon is used in the numerical analysis without such linearization as previously introduced. The probability-one homotopy method known as a globally convergent zero-finding algorithm is implemented as an exact method and applied to each incremental step. The method is illustrated by two three-dimensional problems and the results are compared with those of commercial package and other approximations.

Copyright © 1994 by The American Society of Mechanical Engineers
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