A method for solving contact problems

verfasst von: 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.
Externe Organisation(en): Università degli Studi di Padova
Technische Universität Darmstadt
Typ: Artikel
Journal: International Journal for Numerical Methods in Engineering
Band: 42
Seiten: 473-498
Anzahl der Seiten: 26
ISSN: 0029-5981
Publikationsdatum: 15.06.1998
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Numerische Mathematik, Allgemeiner Maschinenbau, Angewandte Mathematik
Elektronische Version(en): https://doi.org/10.1002/(SICI)1097-0207(19980615)42:3<473::AID-NME367>3.0.CO;2-A (Zugang: Unbekannt)

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",
}