Algorithms for the analysis of 3D finite strain contact problems

• Tipo: Artigo em Revista Científica Internacional
• Data: 2004

Autores

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

Revista

Título: International Journal for Numerical Methods in Engineering

Vol. 61 Nº 7

Páginas: 1107-1151

ISSN: 0029-5981

Editora: Wiley-Blackwell

Indexação

ISI Web of Knowledge - 16 Citações

Scopus - 17 Citações

INSPEC

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 45