Algorithms for the analysis of 3D finite strain contact problems

• Type: Article in International Scientific Journal
• Date: 2004

Authors

P. M. A. Areias (Author) Other; J. M. A. César de Sá (Author) FEUP; C. A. Conceição António (Author) FEUP

Journal

Title: International Journal for Numerical Methods in Engineering

Vol. 61 No. 7

Pages: 1107-1151

ISSN: 0029-5981

Publisher: Wiley-Blackwell

Indexing

ISI Web of Knowledge - 16 Citations

Scopus - 17 Citations

INSPEC

Other information

Authenticus ID: P-000-82W

DOI: 10.1002/nme.1104

Abstract (EN): From the constraint imposition aspects in 3D to friction regularization, various ideas are exposed in this paper. A variation of the Rockafellar Lagrangian is proposed which results in continuous second-order derivatives if Lagrange multiplier estimates are greater or equal than one. This fact allows the adoption of a full second-order (i.e. Lagrange-Newton) method avoiding sequential unconstrained minimization techniques. An algorithm for global and local contact detection is presented which is developed for dealing with large step sizes typical of implicit methods. A modified constraint definition to deal with non-smooth situations is presented. Aspects of friction implementation, including a regularization scheme which ensures stepwise objectivity, are detailed. Finally, several illustrative examples are carried out with success. Copyright (C) 2004 John Wiley Sons, Ltd.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 45