Details
| Original language | English |
|---|---|
| Pages (from-to) | 215-230 |
| Number of pages | 16 |
| Journal | Computational mechanics |
| Volume | 2 |
| Issue number | 3 |
| Publication status | Published - Sept 1987 |
Abstract
In this paper a class of non-linear problems is discussed where stability as well as post-buckling behaviour is coupled with contact constraints. The contact conditions are introduced via a perturbed Lagrangian formulation. From this formulation the penalty and Lagrangian multiplier method are derived. Both algorithms are investigated together with an algorithm based on an augmented Lagrangian method. The resulting finite element formulation is applied to structural problems of beams and shells undergoing finite elastic deflections and rotations. For the examination of the post-buckling behaviour the arc-length method is used. The performance of the element formulation and a comparison of the different contact algorithms are demonstrated by numerical examples.
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. 2, No. 3, 09.1987, p. 215-230.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Algorithms for non-linear contact constraints with application to stability problems of rods and shells
AU - Wriggers, Peter
AU - Wagner, W.
AU - Stein, E.
PY - 1987/9
Y1 - 1987/9
N2 - In this paper a class of non-linear problems is discussed where stability as well as post-buckling behaviour is coupled with contact constraints. The contact conditions are introduced via a perturbed Lagrangian formulation. From this formulation the penalty and Lagrangian multiplier method are derived. Both algorithms are investigated together with an algorithm based on an augmented Lagrangian method. The resulting finite element formulation is applied to structural problems of beams and shells undergoing finite elastic deflections and rotations. For the examination of the post-buckling behaviour the arc-length method is used. The performance of the element formulation and a comparison of the different contact algorithms are demonstrated by numerical examples.
AB - In this paper a class of non-linear problems is discussed where stability as well as post-buckling behaviour is coupled with contact constraints. The contact conditions are introduced via a perturbed Lagrangian formulation. From this formulation the penalty and Lagrangian multiplier method are derived. Both algorithms are investigated together with an algorithm based on an augmented Lagrangian method. The resulting finite element formulation is applied to structural problems of beams and shells undergoing finite elastic deflections and rotations. For the examination of the post-buckling behaviour the arc-length method is used. The performance of the element formulation and a comparison of the different contact algorithms are demonstrated by numerical examples.
UR - http://www.scopus.com/inward/record.url?scp=0007808851&partnerID=8YFLogxK
U2 - 10.1007/BF00571026
DO - 10.1007/BF00571026
M3 - Article
AN - SCOPUS:0007808851
VL - 2
SP - 215
EP - 230
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 3
ER -