Morphoelastic rods. Part I: A single growing elastic rod

Journal article

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.

Authors: Moulton, D; Lessinnes, T; Goriely, A

• Journal: Journal of the Mechanics and Physics of Solids
• Volume: 61
• Issue: 2
• Pages: 398-427
• Publication date: 2013-02-01
• DOI: 10.1016/j.jmps.2012.09.017
• ISSN: 0022-5096
• Language: English
• Keywords: Kirchhoff rods; Morphoelasticity; Rod on foundation; Buckling instability; Buckled ring