Advanced

Voronoi-based three-dimensional polygonal finite elements for electromechanical problems

Kaliappan, Jayabal and Menzel, Andreas LU (2012) In Computational Materials Science 64. p.66-70
Abstract (Swedish)
Abstract in Undetermined

We discuss the combination of a hybrid finite element approach and three-dimensional Voronoi-based mesh discretisations for electromechanically coupled problems. The fluxes, i.e. the stresses and electric displacements, are defined within the volume of the polygonal finite elements, whereas the displacements and electric potential are approximated on the boundaries of the elements. A Voronoi polygon with arbitrary, but admissible, number of surfaces and nodes thereby acts as a single finite element. Representative numerical examples for electromechanical problems, in particular piezoelectric materials, are presented and discussed. (C) 2012 Elsevier B. V. All rights reserved.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Three-dimensional Voronoi discretisation, Hybrid finite element, Electromechanics, Piezoceramics
in
Computational Materials Science
volume
64
pages
66 - 70
publisher
Elsevier
external identifiers
  • wos:000308396200016
  • scopus:84865462769
ISSN
0927-0256
DOI
10.1016/j.commatsci.2012.02.049
language
English
LU publication?
yes
id
a835141d-be8d-4fbb-8459-472ddb51976b (old id 3167868)
date added to LUP
2012-11-15 18:06:52
date last changed
2017-01-01 05:24:21
@article{a835141d-be8d-4fbb-8459-472ddb51976b,
  abstract     = {<b>Abstract in Undetermined</b><br/><br>
We discuss the combination of a hybrid finite element approach and three-dimensional Voronoi-based mesh discretisations for electromechanically coupled problems. The fluxes, i.e. the stresses and electric displacements, are defined within the volume of the polygonal finite elements, whereas the displacements and electric potential are approximated on the boundaries of the elements. A Voronoi polygon with arbitrary, but admissible, number of surfaces and nodes thereby acts as a single finite element. Representative numerical examples for electromechanical problems, in particular piezoelectric materials, are presented and discussed. (C) 2012 Elsevier B. V. All rights reserved.},
  author       = {Kaliappan, Jayabal and Menzel, Andreas},
  issn         = {0927-0256},
  keyword      = {Three-dimensional Voronoi discretisation,Hybrid finite element,Electromechanics,Piezoceramics},
  language     = {eng},
  pages        = {66--70},
  publisher    = {Elsevier},
  series       = {Computational Materials Science},
  title        = {Voronoi-based three-dimensional polygonal finite elements for electromechanical problems},
  url          = {http://dx.doi.org/10.1016/j.commatsci.2012.02.049},
  volume       = {64},
  year         = {2012},
}