Morphoelastic rods. Part I: A single growing elastic rod

D.E. Moulton, T. Lessinnes, A. Goriely

Research output: Contribution to journalArticlepeer-review

47 Scopus citations

Abstract

A 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.
Original languageEnglish (US)
Pages (from-to)398-427
Number of pages30
JournalJournal of the Mechanics and Physics of Solids
Volume61
Issue number2
DOIs
StatePublished - Feb 2013
Externally publishedYes

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