A new algorithm for numerical solution of 3D elastoplastic contact problems with orthotropic friction law

authored by: H. W. Zhang, S. Y. He, Peter Wriggers, X. S. Li
Abstract: 3D elastoplastic frictional contact problems with orthotropic friction law belong to the unspecified boundary problems with nonlinearities in both material and geometric forms. One of the difficulties in solving the problem lies in the determination of the tangential slip states at the contact points. A great amount of computational efforts is needed so as to obtain high accuracy numerical results. Based on a combination of the well known mathematical programming method and iterative method, a finite element model is put forward in this paper. The problems are finally reduced to linear complementarity problems. A specially designed smoothing algorithm based on NCP-function is then applied for solving the problems. Numerical results are given to demonstrate the validity of the model and the algorithm proposed.
Organisation(s): Institute of Mechanics and Computational Mechanics
External Organisation(s): Dalian University of Technology
Type: Article
Journal: Computational mechanics
Volume: 34
Pages: 1-14
No. of pages: 14
ISSN: 0178-7675
Publication date: 18.02.2004
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/s00466-004-0548-2 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{6546302a42f64b6abd84c94acf8cb24a,
title = "A new algorithm for numerical solution of 3D elastoplastic contact problems with orthotropic friction law",
abstract = "3D elastoplastic frictional contact problems with orthotropic friction law belong to the unspecified boundary problems with nonlinearities in both material and geometric forms. One of the difficulties in solving the problem lies in the determination of the tangential slip states at the contact points. A great amount of computational efforts is needed so as to obtain high accuracy numerical results. Based on a combination of the well known mathematical programming method and iterative method, a finite element model is put forward in this paper. The problems are finally reduced to linear complementarity problems. A specially designed smoothing algorithm based on NCP-function is then applied for solving the problems. Numerical results are given to demonstrate the validity of the model and the algorithm proposed.",
keywords = "3D contact problem, Elastoplasticity, Iterative method, Linear complementarity problem, Mathematical programming method, Orthotropic friction law, Smoothing algorithm",
author = "Zhang, {H. W.} and He, {S. Y.} and Peter Wriggers and Li, {X. S.}",
year = "2004",
month = feb,
day = "18",
doi = "10.1007/s00466-004-0548-2",
language = "English",
volume = "34",
pages = "1--14",
journal = "Computational mechanics",
issn = "0178-7675",
publisher = "Springer Verlag",
number = "1",
}