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dc.contributor.author
Vetter, Roman
dc.contributor.author
Stoop, Norbert
dc.contributor.author
Jenni, Thomas
dc.contributor.author
Wittel, Falk K.
dc.contributor.author
Herrmann, Hans J.
dc.date.accessioned
2018-05-07T08:32:18Z
dc.date.available
2017-06-10T13:08:05Z
dc.date.available
2018-05-07T08:32:18Z
dc.date.issued
2012-08-22
dc.identifier.uri
http://hdl.handle.net/20.500.11850/62384
dc.description.abstract
A thin shell finite element approach based on Loop's subdivision surfaces is proposed, capable of dealing with large deformations and anisotropic growth. To this end, the Kirchhoff-Love theory of thin shells is derived and extended to allow for arbitrary in-plane growth. The simplicity and computational efficiency of the subdivision thin shell elements is outstanding, which is demonstrated on a few standard loading benchmarks. With this powerful tool at hand, we demonstrate the broad range of possible applications by numerical solution of several growth scenarios, ranging from the uniform growth of a sphere, to boundary instabilities induced by large anisotropic growth. Finally, it is shown that the problem of a slowly and uniformly growing sheet confined in a fixed hollow sphere is equivalent to the inverse process where a sheet of fixed size is slowly crumpled in a shrinking hollow sphere in the frictionless, quasi-static, elastic limit.
en_US
dc.language.iso
en
en_US
dc.publisher
Cornell University
en_US
dc.title
Subdivision shell elements with anisotropic growth
en_US
dc.type
Working Paper
dc.date.published
2012-08-22
ethz.journal.title
ArXiv
ethz.pages.start
arXiv:1208.4434
en_US
ethz.size
20 p.
en_US
ethz.identifier.arxiv
1208.4434
ethz.publication.place
Ithaca, NY
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02115 - Dep. Bau, Umwelt und Geomatik / Dep. of Civil, Env. and Geomatic Eng.::02606 - Institut für Baustoffe (IfB) / Institute for Building Materials::03733 - Herrmann, Hans Jürgen (emeritus) / Herrmann, Hans Jürgen (emeritus)
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02115 - Dep. Bau, Umwelt und Geomatik / Dep. of Civil, Env. and Geomatic Eng.::02606 - Institut für Baustoffe (IfB) / Institute for Building Materials::03733 - Herrmann, Hans Jürgen (emeritus) / Herrmann, Hans Jürgen (emeritus)
ethz.identifier.url
https://arxiv.org/abs/1208.4434
ethz.relation.isOriginalFormOf
handle/20.500.11850/70654
ethz.date.deposited
2017-06-10T13:08:47Z
ethz.source
ECIT
ethz.identifier.importid
imp59365043eb73d20654
ethz.ecitpid
pub:99068
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2017-07-17T09:04:27Z
ethz.rosetta.lastUpdated
2019-02-02T16:58:20Z
ethz.rosetta.versionExported
true
ethz.COinS
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