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dc.contributor.authorMoulton, D.E.
dc.contributor.authorLessinnes, T.
dc.contributor.authorGoriely, A.
dc.date.accessioned2016-02-25T13:43:05Z
dc.date.available2016-02-25T13:43:05Z
dc.date.issued2013-02
dc.identifier.citationMoulton DE, Lessinnes T, Goriely A (2013) Morphoelastic rods. Part I: A single growing elastic rod. Journal of the Mechanics and Physics of Solids 61: 398–427. Available: http://dx.doi.org/10.1016/j.jmps.2012.09.017.
dc.identifier.issn0022-5096
dc.identifier.doi10.1016/j.jmps.2012.09.017
dc.identifier.urihttp://hdl.handle.net/10754/598886
dc.description.abstractA theory for the dynamics and statics of growing elastic rods is presented. First, a single growing rod is considered and the formalism of three-dimensional multiplicative decomposition of morphoelasticity is used to describe the bulk growth of Kirchhoff elastic rods. Possible constitutive laws for growth are discussed and analysed. Second, a rod constrained or glued to a rigid substrate is considered, with the mismatch between the attachment site and the growing rod inducing stress. This stress can eventually lead to instability, bifurcation, and buckling. © 2012 Elsevier Ltd. All rights reserved.
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), and based in part upon work supported by the National Science Foundation under Grants DMS-0907773 (AG). A.G. is a Wolfson Royal Society Merit Holder and is supported by a Reintegration Grant under EC Framework VII. T.L. is a Marie Curie Fellow under EC Framework VII and also gratefully acknowledges support from the "Fondation Wiener-Anspach".
dc.publisherElsevier BV
dc.subjectBuckled ring
dc.subjectBuckling instability
dc.subjectKirchhoff rods
dc.subjectMorphoelasticity
dc.subjectRod on foundation
dc.titleMorphoelastic rods. Part I: A single growing elastic rod
dc.typeArticle
dc.identifier.journalJournal of the Mechanics and Physics of Solids
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdom
kaust.grant.numberKUK-C1-013-04


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