Polygonal finite elements for three-dimensional Voronoi-cell-based discretisations
Författare
Summary, in English
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.
Avdelning/ar
Publiceringsår
2012
Språk
Engelska
Sidor
92-102
Publikation/Tidskrift/Serie
European Journal of Computational Mechanics
Volym
21
Issue
1-2
Dokumenttyp
Artikel i tidskrift
Förlag
River Publishers
Ämne
- Mechanical Engineering
Nyckelord
- polygonal finite elements
- hybrid finite element method
- three-dimensional Voronoi cells
- stress approximation
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1958-5829