An adaptive finite element algorithm for contact problems in plasticity

authored by: Peter Wriggers, O. Scherf
Abstract: Due to the fact that in contact problems the contact area is not known a priori, a sufficient discretization to obtain a convergent finite element solution cannot be supplied from the outset. Therefore it is necessary to use adaptive finite element methods to adjust automatically the mesh sizes not only in the bodies under consideration but also in the contact zone. In this paper we develop an adaptive method for geometrically linear contact problems, which also includes elastoplastic material behavior. The radial return algorithm is used to derive the error estimator for one time increment of the solution process. The error estimator is based on the Zienkiewicz-Zhu projection scheme, which is extended to account for the special situation in the contact interface.
External Organisation(s): Technische Universität Darmstadt
Type: Article
Journal: Computational mechanics
Volume: 17
Pages: 88-97
No. of pages: 10
ISSN: 0178-7675
Publication date: 12.1995
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/BF00356481 (Access: Unknown)
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