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Polygonal finite elements for three-dimensional Voronoi-cell-based discretisations

Kaliappan, Jayabal and Menzel, Andreas LU (2012) In European Journal of Computational Mechanics 21(1-2). p.92-102
Abstract
Hybrid finite element formulations in combination with Voronoi-cell-based discretisation methods can efficiently be used to model the behaviour of polycrystalline materials. Randomly generated three-dimensional Voronoi polygonal elements with varying numbers of surfaces and corners in general better approximate the geometry of polycrystalline micro- or rather grain-structures than the standard tetrahedral and hexahedral finite elements. In this work, the application of a polygonal finite element formulation to three-dimensional elastomechanical problems is elaborated with special emphasis on the numerical implementation of the method and the construction of the element stiffness matrix. A specific property of Voronoi-based discretisations... (More)
Hybrid finite element formulations in combination with Voronoi-cell-based discretisation methods can efficiently be used to model the behaviour of polycrystalline materials. Randomly generated three-dimensional Voronoi polygonal elements with varying numbers of surfaces and corners in general better approximate the geometry of polycrystalline micro- or rather grain-structures than the standard tetrahedral and hexahedral finite elements. In this work, the application of a polygonal finite element formulation to three-dimensional elastomechanical problems is elaborated with special emphasis on the numerical implementation of the method and the construction of the element stiffness matrix. A specific property of Voronoi-based discretisations in combination with a hybrid finite element approach is investigated. The applicability of the framework established is demonstrated by means of representative numerical examples. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
polygonal finite elements, hybrid finite element method, three-dimensional Voronoi cells, stress approximation
in
European Journal of Computational Mechanics
volume
21
issue
1-2
pages
92 - 102
publisher
Hermes Science Publishing Ltd
external identifiers
  • scopus:84867197163
ISSN
1958-5829
DOI
10.1080/17797179.2012.702432
language
English
LU publication?
yes
id
36d387a8-5a9a-4a41-ae48-aba1beec3282 (old id 3167866)
date added to LUP
2012-11-15 18:04:17
date last changed
2017-01-01 07:30:49
@article{36d387a8-5a9a-4a41-ae48-aba1beec3282,
  abstract     = {Hybrid finite element formulations in combination with Voronoi-cell-based discretisation methods can efficiently be used to model the behaviour of polycrystalline materials. Randomly generated three-dimensional Voronoi polygonal elements with varying numbers of surfaces and corners in general better approximate the geometry of polycrystalline micro- or rather grain-structures than the standard tetrahedral and hexahedral finite elements. In this work, the application of a polygonal finite element formulation to three-dimensional elastomechanical problems is elaborated with special emphasis on the numerical implementation of the method and the construction of the element stiffness matrix. A specific property of Voronoi-based discretisations in combination with a hybrid finite element approach is investigated. The applicability of the framework established is demonstrated by means of representative numerical examples.},
  author       = {Kaliappan, Jayabal and Menzel, Andreas},
  issn         = {1958-5829},
  keyword      = {polygonal finite elements,hybrid finite element method,three-dimensional Voronoi cells,stress approximation},
  language     = {eng},
  number       = {1-2},
  pages        = {92--102},
  publisher    = {Hermes Science Publishing Ltd},
  series       = {European Journal of Computational Mechanics},
  title        = {Polygonal finite elements for three-dimensional Voronoi-cell-based discretisations},
  url          = {http://dx.doi.org/10.1080/17797179.2012.702432},
  volume       = {21},
  year         = {2012},
}