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

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Author

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.

Department/s

Publishing year

2012

Language

English

Pages

92-102

Publication/Series

European Journal of Computational Mechanics

Volume

21

Issue

1-2

Document type

Journal article

Publisher

River Publishers

Topic

  • Mechanical Engineering

Keywords

  • polygonal finite elements
  • hybrid finite element method
  • three-dimensional Voronoi cells
  • stress approximation

Status

Published

ISBN/ISSN/Other

  • ISSN: 1958-5829