Algorithms for non-linear contact constraints with application to stability problems of rods and shells

authored by

Peter Wriggers, W. Wagner, E. Stein

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.

Organisation(s)

Institute of Mechanics and Computational Mechanics

Type

Article

Journal

Computational mechanics

Volume

2

Pages

215-230

No. of pages

16

ISSN

0178-7675

Publication date

09.1987

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/BF00571026 (Access: Unknown)

 

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