Concurrent finite element analysis of periodic boundary value problems
(2003) In Computer Methods in Applied Mechanics and Engineering 192(15). p.18771891 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 twostep domain decomposition strategy. The speedup results show a good performance of the method on coarsegrained 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 crystalplasticity 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 twostep domain decomposition strategy. The speedup results show a good performance of the method on coarsegrained 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 crystalplasticity 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:
http://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
 00457825
 DOI
 language
 English
 LU publication?
 yes
 id
 72de10732913465883b93d61d4268432 (old id 313804)
 date added to LUP
 20070916 10:17:45
 date last changed
 20180529 11:54:07
@article{72de10732913465883b93d61d4268432, 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 twostep domain decomposition strategy. The speedup results show a good performance of the method on coarsegrained 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 crystalplasticity 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 = {00457825}, keyword = {finite elements,composites,metal matrix,polycrystal,parallel computing,periodic unit cell}, language = {eng}, number = {15}, pages = {18771891}, 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/}, volume = {192}, year = {2003}, }