A 3D beam-to-beam contact finite element for coupled electric-mechanical fields

authored by: D. P. Boso, Przemyslaw Litewka, B. A. Schrefler, Peter Wriggers
Abstract: In this paper the formulation of an electric-mechanical beam-to-beam contact element is presented. Beams with circular cross-sections are assumed to get in contact in a point-wise manner and with clean metallic surfaces. The voltage distribution is influenced by the contact mechanics, since the current flow is constricted to small contacting spots. Therefore, the solution is governed by the contacting areas and hence by the contact forces. As a consequence the problem is semi-coupled with the mechanical field influencing the electric one. The electric-mechanical contact constraints are enforced with the penalty method within the finite element technique. The virtual work equations for the mechanical and electric fields are written and consistently linearized to achieve a good level of computational efficiency with the finite element method. The set of equations is solved with a monolithic approach.
Organisation(s): Institute of Mechanics and Computational Mechanics
External Organisation(s): University of Padova
Poznan University of Technology
Type: Article
Journal: International Journal for Numerical Methods in Engineering
Volume: 64
Pages: 1800-1815
No. of pages: 16
ISSN: 0029-5981
Publication date: 07.12.2005
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Numerical Analysis, Engineering(all), Applied Mathematics
Electronic version(s): https://doi.org/10.1002/nme.1427 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{d9bae271d84041b3bc8640fb8d7173be,
title = "A 3D beam-to-beam contact finite element for coupled electric-mechanical fields",
abstract = "In this paper the formulation of an electric-mechanical beam-to-beam contact element is presented. Beams with circular cross-sections are assumed to get in contact in a point-wise manner and with clean metallic surfaces. The voltage distribution is influenced by the contact mechanics, since the current flow is constricted to small contacting spots. Therefore, the solution is governed by the contacting areas and hence by the contact forces. As a consequence the problem is semi-coupled with the mechanical field influencing the electric one. The electric-mechanical contact constraints are enforced with the penalty method within the finite element technique. The virtual work equations for the mechanical and electric fields are written and consistently linearized to achieve a good level of computational efficiency with the finite element method. The set of equations is solved with a monolithic approach.",
keywords = "Beam-to-beam contact, Contact mechanics, Electric-mechanical coupling, Finite element method",
author = "Boso, {D. P.} and Przemyslaw Litewka and Schrefler, {B. A.} and Peter Wriggers",
year = "2005",
month = dec,
day = "7",
doi = "10.1002/nme.1427",
language = "English",
volume = "64",
pages = "1800--1815",
journal = "International Journal for Numerical Methods in Engineering",
issn = "0029-5981",
publisher = "John Wiley and Sons Ltd",
number = "13",
}