Polygonal finite elements for three-dimensional Voronoi-cell-based discretisations
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3167866
- author
- Kaliappan, Jayabal and Menzel, Andreas LU
- organization
- publishing date
- 2012
- 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
- River Publishers
- 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
- 2016-04-04 07:17:36
- date last changed
- 2022-01-29 02:00:25
@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}},
keywords = {{polygonal finite elements; hybrid finite element method; three-dimensional Voronoi cells; stress approximation}},
language = {{eng}},
number = {{1-2}},
pages = {{92--102}},
publisher = {{River Publishers}},
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}},
doi = {{10.1080/17797179.2012.702432}},
volume = {{21}},
year = {{2012}},
}