Details
| Original language | English |
|---|---|
| Pages (from-to) | 27-42 |
| Number of pages | 16 |
| Journal | Computational mechanics |
| Volume | 29 |
| Issue number | 1 |
| Publication status | Published - Jul 2002 |
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.
Keywords
- Bézier, Finite element method, Frictional contact, Symbolic, Tetrahedral
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Computational mechanics, Vol. 29, No. 1, 07.2002, p. 27-42.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A C1-continuous formulation for 3D finite deformation frictional contact
AU - Krstulović-Opara, L.
AU - Wriggers, Peter
AU - Korelc, J.
PY - 2002/7
Y1 - 2002/7
N2 - 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.
AB - 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.
KW - Bézier
KW - Finite element method
KW - Frictional contact
KW - Symbolic
KW - Tetrahedral
UR - http://www.scopus.com/inward/record.url?scp=0036649014&partnerID=8YFLogxK
U2 - 10.1007/s00466-002-0317-z
DO - 10.1007/s00466-002-0317-z
M3 - Article
AN - SCOPUS:0036649014
VL - 29
SP - 27
EP - 42
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 1
ER -