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Concurrent finite element analysis of periodic boundary value problems

Kristensson, Ola LU ; Sörensen, Niels LU and Andersen, BS (2003) In Computer Methods in Applied Mechanics and Engineering 192(15). p.1877-1891
Abstract
A parallel finite element approach for analyzing micromechanical problems with periodic unit cells is discussed. The method uses a direct solution strategy so that general periodic boundary conditions can be treated using a two-step domain decomposition strategy. The speedup results show a good performance of the method on coarse-grained problems, i.e. for cases where the computational work done on the substructures that are treated in parallel is relatively large compared to the total amount of computational work. Application examples using crystal-plasticity on an array of planar crystals and a metal matrix composite are used to show that the overall response of these materials is rather strongly dependent on the constraint imposed on... (More)
A parallel finite element approach for analyzing micromechanical problems with periodic unit cells is discussed. The method uses a direct solution strategy so that general periodic boundary conditions can be treated using a two-step domain decomposition strategy. The speedup results show a good performance of the method on coarse-grained problems, i.e. for cases where the computational work done on the substructures that are treated in parallel is relatively large compared to the total amount of computational work. Application examples using crystal-plasticity on an array of planar crystals and a metal matrix composite are used to show that the overall response of these materials is rather strongly dependent on the constraint imposed on the unit cell so that a correct treatment of the periodic boundary conditions is required to accurately predict the macroscopic response of a periodic material even though a unit cell with a large number of grains or fibers is used. (C) 2003 Elsevier Science B.V. All rights reserved. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
finite elements, composites, metal matrix, polycrystal, parallel computing, periodic unit cell
in
Computer Methods in Applied Mechanics and Engineering
volume
192
issue
15
pages
1877 - 1891
publisher
Elsevier
external identifiers
  • wos:000182103600005
  • scopus:0037432711
ISSN
0045-7825
DOI
10.1016/S0045-7825(03)00217-2
language
English
LU publication?
yes
id
72de1073-2913-4658-83b9-3d61d4268432 (old id 313804)
date added to LUP
2007-09-16 10:17:45
date last changed
2018-10-03 11:43:52
@article{72de1073-2913-4658-83b9-3d61d4268432,
  abstract     = {A parallel finite element approach for analyzing micromechanical problems with periodic unit cells is discussed. The method uses a direct solution strategy so that general periodic boundary conditions can be treated using a two-step domain decomposition strategy. The speedup results show a good performance of the method on coarse-grained problems, i.e. for cases where the computational work done on the substructures that are treated in parallel is relatively large compared to the total amount of computational work. Application examples using crystal-plasticity on an array of planar crystals and a metal matrix composite are used to show that the overall response of these materials is rather strongly dependent on the constraint imposed on the unit cell so that a correct treatment of the periodic boundary conditions is required to accurately predict the macroscopic response of a periodic material even though a unit cell with a large number of grains or fibers is used. (C) 2003 Elsevier Science B.V. All rights reserved.},
  author       = {Kristensson, Ola and Sörensen, Niels and Andersen, BS},
  issn         = {0045-7825},
  keyword      = {finite elements,composites,metal matrix,polycrystal,parallel computing,periodic unit cell},
  language     = {eng},
  number       = {15},
  pages        = {1877--1891},
  publisher    = {Elsevier},
  series       = {Computer Methods in Applied Mechanics and Engineering},
  title        = {Concurrent finite element analysis of periodic boundary value problems},
  url          = {http://dx.doi.org/10.1016/S0045-7825(03)00217-2},
  volume       = {192},
  year         = {2003},
}