DC FieldValueLanguage
dc.contributor.authorGarhuom, Wadhah-
dc.contributor.authorHubrich, Simeon-
dc.contributor.authorRadtke, Lars-
dc.contributor.authorDüster, Alexander-
dc.date.accessioned2020-09-29T16:12:25Z-
dc.date.available2020-09-29T16:12:25Z-
dc.date.issued2020-04-10-
dc.identifier.citationComputers and Mathematics with Applications 11 (80): 2379-2398 (2020)de_DE
dc.identifier.issn0898-1221de_DE
dc.identifier.urihttp://hdl.handle.net/11420/7438-
dc.description.abstractThe simulation of large structural deformations with the finite element method poses several challenges. The severe distortion of elements may deteriorate the accuracy and robustness of the method and restrict it to smaller deformations than desired. This issue is especially present in the finite cell method (FCM), where complex geometries are discretized with a non-conforming Cartesian grid introducing a fictitious material with very low stiffness. The remeshing strategy presented here improves the robustness at the cost of generating a new Cartesian grid of the deformed geometry at load steps where the element distortion becomes critical. This allows us to use larger load steps and to further deform the structure under consideration. We use radial basis functions to transfer the displacements and the displacement gradients from one mesh to the next one. The method is investigated in combination with a hyperelastic material and exemplary applied to simulate a pore of a foam.en
dc.language.isoende_DE
dc.publisherElsevier Sciencede_DE
dc.relation.ispartofComputers and mathematics with applicationsde_DE
dc.subjectBasis function removalde_DE
dc.subjectFinite cell methodde_DE
dc.subjectHyperelasticityde_DE
dc.subjectLarge deformationsde_DE
dc.subjectRadial basis functionde_DE
dc.subjectRemeshingde_DE
dc.subject.ddc600: Technikde_DE
dc.titleA remeshing strategy for large deformations in the finite cell methodde_DE
dc.typeArticlede_DE
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.abstract.englishThe simulation of large structural deformations with the finite element method poses several challenges. The severe distortion of elements may deteriorate the accuracy and robustness of the method and restrict it to smaller deformations than desired. This issue is especially present in the finite cell method (FCM), where complex geometries are discretized with a non-conforming Cartesian grid introducing a fictitious material with very low stiffness. The remeshing strategy presented here improves the robustness at the cost of generating a new Cartesian grid of the deformed geometry at load steps where the element distortion becomes critical. This allows us to use larger load steps and to further deform the structure under consideration. We use radial basis functions to transfer the displacements and the displacement gradients from one mesh to the next one. The method is investigated in combination with a hyperelastic material and exemplary applied to simulate a pore of a foam.de_DE
tuhh.publisher.doi10.1016/j.camwa.2020.03.020-
tuhh.publication.instituteKonstruktion und Festigkeit von Schiffen M-10de_DE
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.issue11de_DE
tuhh.container.volume80de_DE
tuhh.container.startpage2379de_DE
tuhh.container.endpage2398de_DE
dc.relation.projectSPP 1748: Teilprojekt "High-Order Immersed-Boundary-Methoden in der Festkörpermechanik für generativ gefertigte Strukturen"-
dc.identifier.scopus2-s2.0-85083051928de_DE
local.status.inpressfalsede_DE
local.funding.infoThe authors gratefully acknowledge support by the Deutsche Forschungsgemeinschaft, Germany in the Priority Program 1748 “Reliable simulation techniques in solid mechanics. Development of non-standard discretization methods, mechanical and mathematical analysis” under the project DU 405/8-2 .de_DE
datacite.resourceTypeJournal Article-
datacite.resourceTypeGeneralText-
item.grantfulltextnone-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.creatorOrcidGarhuom, Wadhah-
item.creatorOrcidHubrich, Simeon-
item.creatorOrcidRadtke, Lars-
item.creatorOrcidDüster, Alexander-
item.languageiso639-1en-
item.creatorGNDGarhuom, Wadhah-
item.creatorGNDHubrich, Simeon-
item.creatorGNDRadtke, Lars-
item.creatorGNDDüster, Alexander-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.mappedtypeArticle-
crisitem.project.funderDeutsche Forschungsgemeinschaft (DFG)-
crisitem.project.funderid501100001659-
crisitem.project.funderrorid018mejw64-
crisitem.project.grantnoDU 405/8-2-
crisitem.author.deptKonstruktion und Festigkeit von Schiffen M-10-
crisitem.author.deptKonstruktion und Festigkeit von Schiffen M-10-
crisitem.author.deptKonstruktion und Festigkeit von Schiffen M-10-
crisitem.author.deptKonstruktion und Festigkeit von Schiffen M-10-
crisitem.author.orcid0000-0002-4828-1572-
crisitem.author.orcid0000-0001-7015-8928-
crisitem.author.orcid0000-0002-2162-3675-
crisitem.author.parentorgStudiendekanat Maschinenbau-
crisitem.author.parentorgStudiendekanat Maschinenbau-
crisitem.author.parentorgStudiendekanat Maschinenbau-
crisitem.author.parentorgStudiendekanat Maschinenbau-
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