A finite element model for contact analysis of multiple Cosserat bodies

authored by: H. W. Zhang, H. Wang, Peter Wriggers, B. A. Schrefler
Abstract: The objective of this paper is to develop a finite element model for multi-body contact analysis of Cosserat materials. Based on the parametric virtual work principle, a quadratic programming method is developed for finite element analysis of contact problems. The contact problem with friction between two Cosserat bodies is treated in the same way as in plastic analysis. The penalty factors, that are normally introduced into the algorithm for contact analysis, have a direct influence on accuracy of solution. There is no available rule for choosing a reasonable value of these factors for simulation of contact problems of Cosserat materials, and they are therefore cancelled through a special technique so that the numerical results can be of high accuracy. Compared with the conventional work on Cosserat elasticity, the newly developed model is on the contact analysis of the Cosserat materials and is seldom found in the existing literatures. Four examples are computed to illustrate the validity and importance of the model developed.
Organisation(s): Institute of Mechanics and Computational Mechanics
External Organisation(s): Dalian University of Technology
University of Padova
Type: Article
Journal: Computational mechanics
Volume: 36
Pages: 444-458
No. of pages: 15
ISSN: 0178-7675
Publication date: 14.04.2005
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/s00466-005-0680-7 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{fe82bddc4867456f853ce92e537874e1,
title = "A finite element model for contact analysis of multiple Cosserat bodies",
abstract = "The objective of this paper is to develop a finite element model for multi-body contact analysis of Cosserat materials. Based on the parametric virtual work principle, a quadratic programming method is developed for finite element analysis of contact problems. The contact problem with friction between two Cosserat bodies is treated in the same way as in plastic analysis. The penalty factors, that are normally introduced into the algorithm for contact analysis, have a direct influence on accuracy of solution. There is no available rule for choosing a reasonable value of these factors for simulation of contact problems of Cosserat materials, and they are therefore cancelled through a special technique so that the numerical results can be of high accuracy. Compared with the conventional work on Cosserat elasticity, the newly developed model is on the contact analysis of the Cosserat materials and is seldom found in the existing literatures. Four examples are computed to illustrate the validity and importance of the model developed.",
keywords = "Contact problem, Cosserat model, Finite element analysis, Parametric virtual work principle, Quadratic programming method",
author = "Zhang, {H. W.} and H. Wang and Peter Wriggers and Schrefler, {B. A.}",
year = "2005",
month = apr,
day = "14",
doi = "10.1007/s00466-005-0680-7",
language = "English",
volume = "36",
pages = "444--458",
journal = "Computational mechanics",
issn = "0178-7675",
publisher = "Springer Verlag",
number = "6",
}