Direct computation of instability points with inequality constraints using the FEM

authored by: H. Tschöpe, Peter Wriggers, E. Oñate
Abstract: The subject of this paper is the computation of instability points in mechanical problems with the finite element method. The objective is to extend the application of critical point detection methods to problems with inequality constraints originating from damage and contact. A simple bilinear model is considered for the damage problems. A bilateral, frictionless contact formulation is used for the contact problems. Among the critical point detection methods the focus is laid on the critical displacement method and the extended system. At first a possible combination of both methods is evaluated by applying them to damage problems. A prediction method based on the extended system is developed to facilitate the comparison of both methods. Secondly, the extended system is used as a computation method for critical points in two-dimensional contact problems.
Organisation(s): Institute of Mechanics and Computational Mechanics
External Organisation(s): Universitat Politècnica de Catalunya
Type: Article
Journal: Engineering Computations (Swansea, Wales)
Volume: 20
Pages: 611-628
No. of pages: 18
ISSN: 0264-4401
Publication date: 2003
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Software, General Engineering, Computer Science Applications, Computational Theory and Mathematics
Electronic version(s): https://doi.org/10.1108/02644400310488781 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{e52807999d7f4e598f05d454fa130d66,
title = "Direct computation of instability points with inequality constraints using the FEM",
abstract = "The subject of this paper is the computation of instability points in mechanical problems with the finite element method. The objective is to extend the application of critical point detection methods to problems with inequality constraints originating from damage and contact. A simple bilinear model is considered for the damage problems. A bilateral, frictionless contact formulation is used for the contact problems. Among the critical point detection methods the focus is laid on the critical displacement method and the extended system. At first a possible combination of both methods is evaluated by applying them to damage problems. A prediction method based on the extended system is developed to facilitate the comparison of both methods. Secondly, the extended system is used as a computation method for critical points in two-dimensional contact problems.",
keywords = "Constraint handling, Finite element method, Inequality, Instability, Structures",
author = "H. Tsch{\"o}pe and Peter Wriggers and E. O{\~n}ate",
year = "2003",
doi = "10.1108/02644400310488781",
language = "English",
volume = "20",
pages = "611--628",
journal = "Engineering Computations (Swansea, Wales)",
issn = "0264-4401",
publisher = "Emerald Group Publishing Ltd.",
number = "5-6",
}