Details
Original language | English |
---|---|
Pages (from-to) | 198-221 |
Number of pages | 24 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 269 |
Publication status | Published - 1 Nov 2013 |
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
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 269, 01.11.2013, p. 198-221.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Polygonal finite element methods for contact-impact problems on non-conformal meshes
AU - Biabanaki, S. O.R.
AU - Khoei, A. R.
AU - Wriggers, P.
N1 - 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 für Kontinuums Mechanik (IKM). The authors also appreciate the help of S.M. Mousavi for information regarding the quadrature rules in polygonal elements.
PY - 2013/11/1
Y1 - 2013/11/1
N2 - 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.
AB - 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.
KW - Contact-impact problem
KW - Node-to-segment algorithm
KW - Non-conformal mesh
KW - Pentagonal elements
KW - Polygonal-FEM
UR - http://www.scopus.com/inward/record.url?scp=84888397405&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2013.10.025
DO - 10.1016/j.cma.2013.10.025
M3 - Article
AN - SCOPUS:84888397405
VL - 269
SP - 198
EP - 221
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -