Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 194, Issue 50-52, Pages 5139-5158Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2005.01.002
Keywords
3D frictional contact problem; linear complernentarity problems; aggregate function; interior point algorithm; smoothing algorithm
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Three dimensional frictional contact is formulated as linear complementarity problem (LCP) by using the parametric variational principle and quadratic programming method. Two aggregate-function-based algorithms, called respectively as self-adjusting interior point algorithm and aggregate function smoothing algorithm, are proposed for the solution of the LCP derived from the contact problems. A nonlinear finite element code is developed for numerical analysis of 3D multi-body contact problems. Four numerical examples are computed to demonstrate the applicability and computational efficiency of the methods proposed. (c) 2005 Elsevier B.V. All rights reserved.
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