Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.4579
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dc.contributor.authorNguyen, Lu Trong Khiem-
dc.contributor.authorAydin, Roland C.-
dc.contributor.authorCyron, Christian J.-
dc.date.accessioned2022-09-13T04:37:25Z-
dc.date.available2022-09-13T04:37:25Z-
dc.date.issued2022-06-06-
dc.identifier.citationComputational Mechanics 70 (3): 621-638 (2022-09-01)de_DE
dc.identifier.issn1432-0924de_DE
dc.identifier.urihttp://hdl.handle.net/11420/13549-
dc.description.abstractData-driven constitutive modeling in continuum mechanics assumes that abundant material data are available and can effectively replace the constitutive law. To this end, Kirchdoerfer and Ortiz proposed an approach, which is often referred to as the distance-minimizing method. This method contains hyperparameters whose role remains poorly understood to date. Herein, we demonstrate that choosing these hyperparameters equal to the tangent of the constitutive manifold underlying the available material data can substantially reduce the computational cost and improve the accuracy of the distance-minimizing method. As the tangent of the constitutive manifold is typically not known in a data-driven setting, and as it can also change during an iterative solution process, we propose an adaptive strategy that continuously updates the hyperparameters on the basis of an approximate tangent of the hidden constitutive manifold. By several numerical examples we demonstrate that this strategy can substantially reduce the computational cost and at the same time also improve the accuracy of the distance-minimizing method.en
dc.language.isoende_DE
dc.publisherSpringerde_DE
dc.relation.ispartofComputational Mechanicsde_DE
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/de_DE
dc.subjectAdaptive algorithmde_DE
dc.subjectFixed-point iterationde_DE
dc.subjectHyperparametersde_DE
dc.subjectLinear regressionsde_DE
dc.subjectModel-free elasticityde_DE
dc.subject.ddc600: Technikde_DE
dc.titleAccelerating the distance-minimizing method for data-driven elasticity with adaptive hyperparametersde_DE
dc.typeArticlede_DE
dc.identifier.doi10.15480/882.4579-
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.identifier.urnurn:nbn:de:gbv:830-882.0195955-
tuhh.oai.showtruede_DE
tuhh.abstract.englishData-driven constitutive modeling in continuum mechanics assumes that abundant material data are available and can effectively replace the constitutive law. To this end, Kirchdoerfer and Ortiz proposed an approach, which is often referred to as the distance-minimizing method. This method contains hyperparameters whose role remains poorly understood to date. Herein, we demonstrate that choosing these hyperparameters equal to the tangent of the constitutive manifold underlying the available material data can substantially reduce the computational cost and improve the accuracy of the distance-minimizing method. As the tangent of the constitutive manifold is typically not known in a data-driven setting, and as it can also change during an iterative solution process, we propose an adaptive strategy that continuously updates the hyperparameters on the basis of an approximate tangent of the hidden constitutive manifold. By several numerical examples we demonstrate that this strategy can substantially reduce the computational cost and at the same time also improve the accuracy of the distance-minimizing method.de_DE
tuhh.publisher.doi10.1007/s00466-022-02183-w-
tuhh.publication.instituteKontinuums- und Werkstoffmechanik M-15de_DE
tuhh.identifier.doi10.15480/882.4579-
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.issue3de_DE
tuhh.container.volume70de_DE
tuhh.container.startpage621de_DE
tuhh.container.endpage638de_DE
dc.rights.nationallicensefalsede_DE
dc.identifier.scopus2-s2.0-85131418989de_DE
local.status.inpressfalsede_DE
local.type.versionpublishedVersionde_DE
datacite.resourceTypeArticle-
datacite.resourceTypeGeneralJournalArticle-
item.grantfulltextopen-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.creatorOrcidNguyen, Lu Trong Khiem-
item.creatorOrcidAydin, Roland C.-
item.creatorOrcidCyron, Christian J.-
item.languageiso639-1en-
item.creatorGNDNguyen, Lu Trong Khiem-
item.creatorGNDAydin, Roland C.-
item.creatorGNDCyron, Christian J.-
item.fulltextWith Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.mappedtypeArticle-
crisitem.author.deptKontinuums- und Werkstoffmechanik M-15-
crisitem.author.orcid0000-0002-5546-457X-
crisitem.author.orcid0000-0002-9542-9146-
crisitem.author.orcid0000-0001-8264-0885-
crisitem.author.parentorgStudiendekanat Maschinenbau-
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