Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 61, Issue 2, Pages 398-427Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2012.09.017
Keywords
Morphoelasticity; Kirchhoff rods; Buckling instability; Rod on foundation; Buckled ring
Funding
- King Abdullah University of Science and Technology (KAUST) [KUK-C1-013-04]
- National Science Foundation [DMS-0907773]
- Reintegration Grant under EC Framework VII
- Fondation Wiener-Anspach
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0907773] Funding Source: National Science Foundation
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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. (C) 2012 Elsevier Ltd. All rights reserved.
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