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dc.contributor.author
Lestringant, Claire
dc.contributor.author
Audoly, Basile
dc.date.accessioned
2020-08-28T11:00:48Z
dc.date.available
2020-08-28T11:00:48Z
dc.date.issued
2020-03-01
dc.identifier.issn
0022-5096
dc.identifier.issn
1873-4782
dc.identifier.other
10.1016/j.jmps.2019.103730
dc.identifier.uri
http://hdl.handle.net/20.500.11850/437217
dc.description.abstract
We propose a general method for deriving one-dimensional models for nonlinear structures. It captures the contribution to the strain energy arising not only from the macroscopic elastic strain as in classical structural models, but also from the strain gradient. As an illustration, we derive one-dimensional strain-gradient models for a hyper-elastic cylinder that necks, an axisymmetric membrane that produces bulges, and a two-dimensional block of elastic material subject to bending and stretching. The method offers three key advantages. First, it is nonlinear and accounts for large deformations of the cross-section, which makes it well suited for the analysis of localization in slender structures. Second, it does not require any a priori assumption on the form of the elastic solution in the cross-section, i.e., it is Ansatz-free. Thirdly, it produces one-dimensional models that are asymptotically exact when the macroscopic strain varies on a much larger length scale than the cross-section diameter. (C) 2019 Elsevier Ltd. All rights reserved.
dc.publisher
PERGAMON-ELSEVIER SCIENCE LTD
dc.subject
Localization
dc.subject
Elastic material
dc.subject
Finite strain
dc.subject
Asymptotic analysis
dc.subject
Energy methods
dc.title
Asymptotically exact strain-gradient models for nonlinear slender elastic structures: A systematic derivation method
dc.type
Journal Article
ethz.journal.title
Journal of the Mechanics and Physics of Solids
ethz.journal.volume
136
ethz.journal.abbreviated
J. Mech. Phys. Solids
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
OXFORD
ethz.source
WOS
ethz.rosetta.exportRequired
true
ethz.COinS
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