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dc.contributor.authorSigaeva, Taisiya
dc.contributor.authorMangan, Robert
dc.contributor.authorVergori, Luigi
dc.contributor.authorDestrade, Michel
dc.contributor.authorSudak, Les
dc.date.accessioned2018-09-20T16:24:40Z
dc.date.available2018-09-20T16:24:40Z
dc.date.issued2018-04-01
dc.identifier.citationSigaeva, Taisiya; Mangan, Robert; Vergori, Luigi; Destrade, Michel; Sudak, Les (2018). Wrinkles and creases in the bending, unbending and eversion of soft sectors. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science 474 (2212),
dc.identifier.issn1364-5021,1471-2946
dc.identifier.urihttp://hdl.handle.net/10379/13906
dc.description.abstractWe study what is clearly one of the most common modes of deformation found in nature, science and engineering, namely the large elastic bending of curved structures, as well as its inverse, unbending, which can be brought beyond complete straightening to turn into eversion. We find that the suggested mathematical solution to these problems always exists and is unique when the solid is modelled as a homogeneous, isotropic, incompressible hyperelastic material with a strain-energy satisfying the strong ellipticity condition. We also provide explicit asymptotic solutions for thin sectors. When the deformations are severe enough, the compressed side of the elastic material may buckle and wrinkles could then develop. We analyse, in detail, the onset of this instability for the Mooney-Rivlin strain energy, which covers the cases of the neo-Hookean model in exact nonlinear elasticity and of third-order elastic materials in weakly nonlinear elasticity. In particular, the associated theoretical and numerical treatment allows us to predict the number and wavelength of the wrinkles. Guided by experimental observations, we finally look at the development of creases, which we simulate through advanced finite-element computations. In some cases, the linearized analysis allows us to predict correctly the number and the wavelength of the creases, which turn out to occur only a few per cent of strain earlier than the wrinkles.
dc.publisherThe Royal Society
dc.relation.ispartofProceedings of the Royal Society A: Mathematical, Physical and Engineering Science
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subjectnonlinear elasticity
dc.subjectinstability
dc.subjectbending
dc.subjectunbending
dc.subjecteversion
dc.subjectcylindrical sector
dc.subjectrubber blocks
dc.subjectfinite
dc.subjectbifurcations
dc.subjectinstability
dc.titleWrinkles and creases in the bending, unbending and eversion of soft sectors
dc.typeArticle
dc.identifier.doi10.1098/rspa.2017.0827
dc.local.publishedsourcehttp://arxiv.org/pdf/1806.03152
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Ireland