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dc.contributor.author
Ghavamian, Fariborz
dc.contributor.author
Tiso, Paolo
dc.contributor.author
Simone, Angelo
dc.date.accessioned
2021-08-30T06:39:57Z
dc.date.available
2021-08-30T06:22:05Z
dc.date.available
2021-08-30T06:39:57Z
dc.date.issued
2017-04-15
dc.identifier.issn
0045-7825
dc.identifier.issn
1879-2138
dc.identifier.other
10.1016/j.cma.2016.11.025
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/502816
dc.identifier.doi
10.3929/ethz-b-000502816
dc.description.abstract
We demonstrate a Model Order Reduction technique for a system of nonlinear equations arising from the Finite Element Method (FEM) discretization of the three-dimensional quasistatic equilibrium equation equipped with a Perzyna viscoplasticity constitutive model. The procedure employs the Proper Orthogonal Decomposition-Galerkin (POD-G) in conjunction with the Discrete Empirical Interpolation Method (DEIM). For this purpose, we collect samples from a standard full order FEM analysis in the offline phase and cluster them using a novel -means clustering algorithm. The POD and the DEIM algorithms are then employed to construct a corresponding reduced order model. In the online phase, a sample from the current state of the system is passed, at each time step, to a nearest neighbor classifier in which the cluster that best describes it is identified. The force vector and its derivative with respect to the displacement vector are approximated using DEIM, and the system of nonlinear equations is projected onto a lower dimensional subspace using the POD-G. The constructed reduced order model is applied to two typical solid mechanics problems showing strain-localization (a tensile bar and a wall under compression) and a three-dimensional square-footing problem.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Elsevier
en_US
dc.rights.uri
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject
Model order reduction
en_US
dc.subject
Proper orthogonal decomposition
en_US
dc.subject
Discrete empirical interpolation method
en_US
dc.subject
Perzyna viscoplasticity
en_US
dc.subject
Strain-softening
en_US
dc.subject
Machine learning
en_US
dc.subject
k-means clustering algorithm
en_US
dc.title
POD-DEIM model order reduction for strain softening viscoplasticity
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
dc.date.published
2016-12-10
ethz.journal.title
Computer Methods in Applied Mechanics and Engineering
ethz.journal.volume
317
en_US
ethz.journal.abbreviated
Comput. Methods Appl. Mech. Eng.
ethz.pages.start
458
en_US
ethz.pages.end
479
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Amsterdam
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02130 - Dep. Maschinenbau und Verfahrenstechnik / Dep. of Mechanical and Process Eng.::02618 - Institut für Mechanische Systeme / Institute of Mechanical Systems::03973 - Haller, George / Haller, George
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02130 - Dep. Maschinenbau und Verfahrenstechnik / Dep. of Mechanical and Process Eng.::02618 - Institut für Mechanische Systeme / Institute of Mechanical Systems
en_US
ethz.date.deposited
2017-06-12T19:38:38Z
ethz.source
ECIT
ethz.source
BATCH
ethz.identifier.importid
imp5936553d5f7d957960
ethz.ecitpid
pub:191152
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2021-08-30T06:22:14Z
ethz.rosetta.lastUpdated
2022-03-29T11:21:25Z
ethz.rosetta.versionExported
true
dc.identifier.olduri
http://hdl.handle.net/20.500.11850/128247
dc.identifier.olduri
http://hdl.handle.net/20.500.11850/502389
ethz.COinS
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