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Two aggregate-function-based algorithms for analysis of 3D frictional contact by linear complementarity problem formulation

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Indexed by: Journal Article

Date of Publication: 2005-12-01

Journal: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Included Journals: EI、SCIE、Scopus

Volume: 194

Issue: 50-52

Page Number: 5139-5158

ISSN: 0045-7825

Key Words: 3D frictional contact problem; linear complernentarity problems; aggregate function; interior point algorithm; smoothing algorithm

Abstract: 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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