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Efficient parallel algorithms for elastic-plastic finite element analysis

Ding, Zhongwen (Kevin); Qin, Qing Hua; Cardew-Hall, Michael; Kalyanasundaram, Shankar

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This paper presents our new development of parallel finite element algorithms for elastic-plastic problems. The proposed method is based on dividing the original structure under consideration into a number of substructures which are treated as isolated finite element models via the interface conditions. Throughout the analysis, each processor stores only the information relevant to its substructure and generates the local stiffness matrix. A parallel substructure oriented preconditioned...[Show more]

dc.contributor.authorDing, Zhongwen (Kevin)
dc.contributor.authorQin, Qing Hua
dc.contributor.authorCardew-Hall, Michael
dc.contributor.authorKalyanasundaram, Shankar
dc.date.accessioned2015-12-10T22:38:21Z
dc.identifier.issn0178-7675
dc.identifier.urihttp://hdl.handle.net/1885/56728
dc.description.abstractThis paper presents our new development of parallel finite element algorithms for elastic-plastic problems. The proposed method is based on dividing the original structure under consideration into a number of substructures which are treated as isolated finite element models via the interface conditions. Throughout the analysis, each processor stores only the information relevant to its substructure and generates the local stiffness matrix. A parallel substructure oriented preconditioned conjugate gradient method, which is combined with MR smoothing and diagonal storage scheme are employed to solve linear systems of equations. After having obtained the displacements of the problem under consideration, a substepping scheme is used to integrate elastic-plastic stress-strain relations. The procedure outlined controls the error of the computed stress by choosing each substep size automatically according to a prescribed tolerance. The combination of these algorithms shows a good speedup when increasing the number of processors and the effective solution of 3D elastic-plastic problems whose size is much too large for a single workstation becomes possible.
dc.publisherSpringer
dc.sourceComputational Mechanics
dc.subjectKeywords: Finite element method; Gradient methods; Interfaces (materials); Parallel algorithms; Problem solving; Stress-strain curves; Efficient parallel algorithms; Elastic-plastic problems; Interface conditions; Substructures; Elastoplasticity
dc.titleEfficient parallel algorithms for elastic-plastic finite element analysis
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume41
dc.date.issued2008
local.identifier.absfor091299 - Materials Engineering not elsewhere classified
local.identifier.absfor010399 - Numerical and Computational Mathematics not elsewhere classified
local.identifier.ariespublicationu4251866xPUB373
local.type.statusPublished Version
local.contributor.affiliationDing, Zhongwen (Kevin), College of Engineering and Computer Science, ANU
local.contributor.affiliationQin, Qing Hua, College of Engineering and Computer Science, ANU
local.contributor.affiliationCardew-Hall, Michael, College of Engineering and Computer Science, ANU
local.contributor.affiliationKalyanasundaram, Shankar, College of Engineering and Computer Science, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue4
local.bibliographicCitation.startpage563
local.bibliographicCitation.lastpage578
local.identifier.doi10.1007/s00466-007-0215-5
local.identifier.absseo890203 - Computer Gaming Software
dc.date.updated2015-12-09T10:39:16Z
local.identifier.scopusID2-s2.0-36949003556
local.identifier.thomsonID000251455900007
CollectionsANU Research Publications

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