A method for solving contact problems

authored by: G. Zavarise, Peter Wriggers, B. A. Schrefler
Abstract: In this paper a further method is presented to solve problems involving contact mechanics. The basic idea is related to a special modification of the unconstrained functional to include inequality constraints. The modification is constructed in such a way that minimal point of the unconstrained potential can be exactly shifted to the constraint limit. Moreover, the functional remains smooth and the admissible range of the solution is not restricted. The solution search process with iterative techniques takes advantage from these features. In fact, due to a better control of gap status changes, a more stable solution path with respect to other methods is usually obtained. The characteristics of the method are evidenced and compared to other classical techniques, like penalty and barrier methods. The finite element discretization of the proposed method is included and some numerical applications are shown.
External Organisation(s): University of Padova
Technische Universität Darmstadt
Type: Article
Journal: International Journal for Numerical Methods in Engineering
Volume: 42
Pages: 473-498
No. of pages: 26
ISSN: 0029-5981
Publication date: 15.06.1998
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Numerical Analysis, Engineering(all), Applied Mathematics
Electronic version(s): https://doi.org/10.1002/(SICI)1097-0207(19980615)42:3<473::AID-NME367>3.0.CO;2-A (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{be1ef7c8b7654b718a0c0c0100ff72fe,
title = "A method for solving contact problems",
abstract = "In this paper a further method is presented to solve problems involving contact mechanics. The basic idea is related to a special modification of the unconstrained functional to include inequality constraints. The modification is constructed in such a way that minimal point of the unconstrained potential can be exactly shifted to the constraint limit. Moreover, the functional remains smooth and the admissible range of the solution is not restricted. The solution search process with iterative techniques takes advantage from these features. In fact, due to a better control of gap status changes, a more stable solution path with respect to other methods is usually obtained. The characteristics of the method are evidenced and compared to other classical techniques, like penalty and barrier methods. The finite element discretization of the proposed method is included and some numerical applications are shown.",
keywords = "Barrier, Constrained minimisation, Cross-constraints, Finite element, Penalty",
author = "G. Zavarise and Peter Wriggers and Schrefler, {B. A.}",
year = "1998",
month = jun,
day = "15",
doi = "10.1002/(SICI)1097-0207(19980615)42:3<473::AID-NME367>3.0.CO;2-A",
language = "English",
volume = "42",
pages = "473--498",
journal = "International Journal for Numerical Methods in Engineering",
issn = "0029-5981",
publisher = "John Wiley and Sons Ltd",
number = "3",
}