Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/9248

Title: An alternative formulation for quasi-static frictional and cohesive contact problems
Authors: Areias, P.
Pinto da Costa, A.
Rabczuk, T.
Queirós de Melo, F. J. M.
Dias-da-Costa, D.
Bezzeghoud, M.
Editors: Wriggers, P. Wriggers
Keywords: Friction
Cohesive law
Complementarity
Issue Date: 12-Oct-2013
Publisher: Springer-Verlag
Citation: Areias P., A. Pinto da Costa, T. Rabczuk, FJM Queirós de Melo, D. Dias-da-Costa, M. Bezzeghoud, 2013. An alternative formulation for quasi-static frictional and cohesive contact problems, Computational Mechanics, http://link.springer.com/article/10.1007/s00466-013-0932-x
Abstract: It is known by Engineering practitioners that quasi-static contact problems with friction and cohesive laws often present convergence difficulties in Newton iteration. These are commonly attributed to the non-smoothness of the equilibrium system. However, non-uniqueness of solutions is often an obstacle for convergence. We discuss these condi- tions in detail and present a general algorithm for 3D which is shown to have quadratic convergence in the Newton–Raphson iteration even for parts of the domain where multiple solutions exist. Chen–Mangasarian replacement functions remove the non-smoothness corresponding to both the stick- slip and normal complementarity conditions. Contrasting with Augmented Lagrangian methods, second-order updat- ing is performed for all degrees-of-freedom. Stick condi- tion is automatically selected by the algorithm for regions with multiple solutions. The resulting Jacobian determinant is independent of the friction coefficient, at the expense of an increased number of nodal degrees-of-freedom. Aspects such as a dedicated pivoting for constrained problems are also of crucial importance for a successful solution finding. The resulting 3D mixed formulation, with 7 degrees-of-freedom in each node (displacement components, friction multiplier, friction force components and normal force) is tested with representative numerical examples (both contact with fric- tion and cohesive force), which show remarkable robustness and generality.
URI: http://link.springer.com/article/10.1007/s00466-013-0932-x
http://hdl.handle.net/10174/9248
ISSN: 0178-7675
Type: article
Appears in Collections:FIS - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
CGE - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

Files in This Item:

File Description SizeFormat
MecaComput-2013.pdf5.44 MBAdobe PDFView/OpenRestrict Access. You can Request a copy!
FacebookTwitterDeliciousLinkedInDiggGoogle BookmarksMySpaceOrkut
Formato BibTex mendeley Endnote Logotipo do DeGóis 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

 

Dspace Dspace
DSpace Software, version 1.6.2 Copyright © 2002-2008 MIT and Hewlett-Packard - Feedback
UEvora B-On Curriculum DeGois