A C1-continuous formulation for 3D finite deformation frictional contact

authored by
L. Krstulović-Opara, Peter Wriggers, J. Korelc
Abstract

A new 3D smooth triangular frictional node to surface contact element is developed using an abstract symbolical programming approach. The C1-continuous smooth contact surface description is based on the six quartic Bézier surfaces. The weak formulation and the penalty method are formulated for the description of large deformation frictional contact problems. The presented approach, based on a non-associated frictional law and elastic-plastic tangential slip decomposition, results into quadratic rate of convergence within the Newton-Raphson iteration loop. The frictional sliding path for the smooth, as well as the simple frictional node to surface contact element presented herein, is defined by the mapping of the current in the last converged configuration. Examples demonstrate the performance of symbolically developed contact elements, as well as the stability and more realistic contact description for the smooth elements in comparison with the simple ones.

Organisation(s)
Institute of Mechanics and Computational Mechanics
External Organisation(s)
University of Split
University of Ljubljana
Type
Article
Journal
Computational mechanics
Volume
29
Pages
27-42
No. of pages
16
ISSN
0178-7675
Publication date
07.2002
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Computational Mechanics, Ocean Engineering, Mechanical Engineering, Computational Theory and Mathematics, Computational Mathematics, Applied Mathematics
Electronic version(s)
https://doi.org/10.1007/s00466-002-0317-z (Access: Unknown)
 

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