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Article: A geometric nonlinear rotation-free triangle and its application to drape simulation

TitleA geometric nonlinear rotation-free triangle and its application to drape simulation
Authors
KeywordsCorotation
Corotation-Free
Drape
Drape Simulation
Finite Element Methods
Geometric Nonlinear
Plates
Rotation-Free Triangle
Shells
Issue Date2012
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430
Citation
International Journal For Numerical Methods In Engineering, 2012, v. 89 n. 4, p. 509-536 How to Cite?
AbstractIn this paper, a rotation-free triangle is formulated. Unlike the thin and degenerated shell finite element models, rotation-free triangles employ translational displacements as the only nodal DOFs. Compared with the existing rotation-free triangles, the present triangle is simple and physical yet its accuracy remains competitive. Using a corotational approach and the small strain assumption, the tangential bending stiffness matrix of the present triangle can be approximated by a constant matrix that does not have to be updated regardless of the displacement magnitude. This unique feature suggests that the triangle is a good candidate for fabric drape simulation in which fabric sheets are often flat initially and the displacement is much larger than those in conventional shell problems. Nonlinear shell and fabric drape examples are examined to demonstrate the efficacy of the formulation. © 2011 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/157169
ISSN
2015 Impact Factor: 2.1
2015 SCImago Journal Rankings: 2.007
ISI Accession Number ID
Funding AgencyGrant Number
Hong Kong Research Grant CouncilHKU 7173 09E
Funding Information:

This work was supported by the Hong Kong Research Grant Council in the form of a GRF grant (HKU 7173 09E).

References

 

DC FieldValueLanguage
dc.contributor.authorZhou, YXen_US
dc.contributor.authorSze, KYen_US
dc.date.accessioned2012-08-08T08:45:38Z-
dc.date.available2012-08-08T08:45:38Z-
dc.date.issued2012en_US
dc.identifier.citationInternational Journal For Numerical Methods In Engineering, 2012, v. 89 n. 4, p. 509-536en_US
dc.identifier.issn0029-5981en_US
dc.identifier.urihttp://hdl.handle.net/10722/157169-
dc.description.abstractIn this paper, a rotation-free triangle is formulated. Unlike the thin and degenerated shell finite element models, rotation-free triangles employ translational displacements as the only nodal DOFs. Compared with the existing rotation-free triangles, the present triangle is simple and physical yet its accuracy remains competitive. Using a corotational approach and the small strain assumption, the tangential bending stiffness matrix of the present triangle can be approximated by a constant matrix that does not have to be updated regardless of the displacement magnitude. This unique feature suggests that the triangle is a good candidate for fabric drape simulation in which fabric sheets are often flat initially and the displacement is much larger than those in conventional shell problems. Nonlinear shell and fabric drape examples are examined to demonstrate the efficacy of the formulation. © 2011 John Wiley & Sons, Ltd.en_US
dc.languageengen_US
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430en_US
dc.relation.ispartofInternational Journal for Numerical Methods in Engineeringen_US
dc.subjectCorotationen_US
dc.subjectCorotation-Freeen_US
dc.subjectDrapeen_US
dc.subjectDrape Simulationen_US
dc.subjectFinite Element Methodsen_US
dc.subjectGeometric Nonlinearen_US
dc.subjectPlatesen_US
dc.subjectRotation-Free Triangleen_US
dc.subjectShellsen_US
dc.titleA geometric nonlinear rotation-free triangle and its application to drape simulationen_US
dc.typeArticleen_US
dc.identifier.emailSze, KY:szeky@graduate.hku.hken_US
dc.identifier.authoritySze, KY=rp00171en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1002/nme.3250en_US
dc.identifier.scopuseid_2-s2.0-84855859151en_US
dc.identifier.hkuros206008-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84855859151&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume89en_US
dc.identifier.issue4en_US
dc.identifier.spage509en_US
dc.identifier.epage536en_US
dc.identifier.eissn1097-0207-
dc.identifier.isiWOS:000299078500004-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridZhou, YX=54895306900en_US
dc.identifier.scopusauthoridSze, KY=7006735060en_US
dc.identifier.citeulike9988175-

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