Finite element algorithms for contact problems

authored by: Peter Wriggers
Abstract: The numerical treatment of contact problems involves the formulation of the geometry, the statement of interface laws, the variational formulation and the development of algorithms. In this paper we give an overview with regard to the different topics which are involved when contact problems have to be simulated. To be most general we will derive a geometrical model for contact which is valid for large deformations. Furthermore interface laws will be discussed for the normal and tangential stress components in the contact area. Different variational formulations can be applied to treat the variational inequalities due to contact. Several of these different techniques will be presented. Furthermore the discretization of a contact problem in time and space is of great importance and has to be chosen with regard to the nature of the contact problem. Thus the standard discretization schemes will be discussed as well as techiques to search for contact in case of large deformations.
External Organisation(s): Technische Universität Darmstadt
Type: Article
Journal: Archives of Computational Methods in Engineering
Volume: 2
Pages: 1-49
No. of pages: 49
ISSN: 1134-3060
Publication date: 12.1995
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computer Science Applications, Applied Mathematics
Electronic version(s): https://doi.org/10.1007/BF02736195 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{fe6588ea78554904bba1ed8b3371ea17,
title = "Finite element algorithms for contact problems",
abstract = "The numerical treatment of contact problems involves the formulation of the geometry, the statement of interface laws, the variational formulation and the development of algorithms. In this paper we give an overview with regard to the different topics which are involved when contact problems have to be simulated. To be most general we will derive a geometrical model for contact which is valid for large deformations. Furthermore interface laws will be discussed for the normal and tangential stress components in the contact area. Different variational formulations can be applied to treat the variational inequalities due to contact. Several of these different techniques will be presented. Furthermore the discretization of a contact problem in time and space is of great importance and has to be chosen with regard to the nature of the contact problem. Thus the standard discretization schemes will be discussed as well as techiques to search for contact in case of large deformations.",
author = "Peter Wriggers",
year = "1995",
month = dec,
doi = "10.1007/BF02736195",
language = "English",
volume = "2",
pages = "1--49",
journal = "Archives of Computational Methods in Engineering",
issn = "1134-3060",
publisher = "Springer Netherlands",
number = "4",
}