Concurrent finite element analysis of periodic boundary value problems
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/313804
- author
- Kristensson, Ola LU ; Sörensen, Niels LU and Andersen, BS
- organization
- publishing date
- 2003
- 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
- 2016-04-01 16:44:21
- date last changed
- 2022-04-23 00:11:59
@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}},
keywords = {{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}},
doi = {{10.1016/S0045-7825(03)00217-2}},
volume = {{192}},
year = {{2003}},
}