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dc.contributor.authorMajumdar, Apala
dc.contributor.authorPrior, Christopher
dc.contributor.authorGoriely, Alain
dc.date.accessioned2016-02-28T06:08:01Z
dc.date.available2016-02-28T06:08:01Z
dc.date.issued2012-03-01
dc.identifier.citationMajumdar A, Prior C, Goriely A (2012) Stability Estimates for a Twisted Rod Under Terminal Loads: A Three-dimensional Study. Journal of Elasticity 109: 75–93. Available: http://dx.doi.org/10.1007/s10659-012-9371-8.
dc.identifier.issn0374-3535
dc.identifier.issn1573-2681
dc.identifier.doi10.1007/s10659-012-9371-8
dc.identifier.urihttp://hdl.handle.net/10754/599708
dc.description.abstractThe stability of an inextensible unshearable elastic rod with quadratic strain energy density subject to end loads is considered. We study the second variation of the corresponding rod-energy, making a distinction between in-plane and out-of-plane perturbations and isotropic and anisotropic cross-sections, respectively. In all cases, we demonstrate that the naturally straight state is a local energy minimizer in parameter regimes specified by material constants. These stability results are also accompanied by instability results in parameter regimes defined in terms of material constants. © 2012 Springer Science+Business Media B.V.
dc.description.sponsorshipThis publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). AG is a Wolfson Royal Society Merit Holder. AM is also supported by an EPSRC Career Acceleration Fellowship EP/J001686/1. We also would like to thank John Maddocks for comments on an earlier version of this manuscript, and bringing to our attention important references.
dc.publisherSpringer Nature
dc.subjectCosserat rods
dc.subjectStability of straight axis solution
dc.subjectVariational criterion
dc.titleStability Estimates for a Twisted Rod Under Terminal Loads: A Three-dimensional Study
dc.typeArticle
dc.identifier.journalJournal of Elasticity
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdom
kaust.grant.numberKUK-C1-013-04


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