Polygonal finite element methods for contact-impact problems on non-conformal meshes

authored by: S. O.R. Biabanaki, A. R. Khoei, P. Wriggers
Abstract: In this paper, a polygonal finite element method is presented for large deformation frictionless dynamic contact-impact problems with non-conformal meshes. The geometry and interfaces of the problem are modeled independent of the background mesh based on the level set method to produce polygonal elements at the intersection of the interface with the regular FE mesh. Various polygonal shape functions are employed to investigate the capability of polygonal-FEM technique in modeling frictionless contact-impact problems. The contact constraints are imposed between polygonal elements produced along the contact surface through the node-to-surface contact algorithm. Several contact-impact problems are modeled using various polygonal interpolation functions, including the Wachspress interpolation functions, the metric coordinate shape functions, the natural neighbor based functions, and the mean value coordinate functions to demonstrate the efficiency of proposed technique in modeling contact-impact problems.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Sharif University of Technology
Type: Article
Journal: Computer Methods in Applied Mechanics and Engineering
Volume: 269
Pages: 198-221
No. of pages: 24
ISSN: 0045-7825
Publication date: 01.11.2013
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Mechanics of Materials, Mechanical Engineering, General Physics and Astronomy, Computer Science Applications
Electronic version(s): https://doi.org/10.1016/j.cma.2013.10.025 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{85b18f12d6614a9c9e0c45e6ee089bb4,
title = "Polygonal finite element methods for contact-impact problems on non-conformal meshes",
abstract = "In this paper, a polygonal finite element method is presented for large deformation frictionless dynamic contact-impact problems with non-conformal meshes. The geometry and interfaces of the problem are modeled independent of the background mesh based on the level set method to produce polygonal elements at the intersection of the interface with the regular FE mesh. Various polygonal shape functions are employed to investigate the capability of polygonal-FEM technique in modeling frictionless contact-impact problems. The contact constraints are imposed between polygonal elements produced along the contact surface through the node-to-surface contact algorithm. Several contact-impact problems are modeled using various polygonal interpolation functions, including the Wachspress interpolation functions, the metric coordinate shape functions, the natural neighbor based functions, and the mean value coordinate functions to demonstrate the efficiency of proposed technique in modeling contact-impact problems.",
keywords = "Contact-impact problem, Node-to-segment algorithm, Non-conformal mesh, Pentagonal elements, Polygonal-FEM",
author = "Biabanaki, {S. O.R.} and Khoei, {A. R.} and P. Wriggers",
note = "Funding information: The first author is grateful for the support of DAAD foundation during his Ph.D. resrearch stay in Germany, Leibniz University of Hannover, Instituts f{\"u}r Kontinuums Mechanik (IKM). The authors also appreciate the help of S.M. Mousavi for information regarding the quadrature rules in polygonal elements.",
year = "2013",
month = nov,
day = "1",
doi = "10.1016/j.cma.2013.10.025",
language = "English",
volume = "269",
pages = "198--221",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
}