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 language | English (US) |
|---|---|
| Pages (from-to) | 398-427 |
| Number of pages | 30 |
| Journal | Journal of the Mechanics and Physics of Solids |
| Volume | 61 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 2013 |
| Externally published | Yes |
Bibliographical note
KAUST Repository Item: Exported on 2020-10-01Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This 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".
This publication acknowledges KAUST support, but has no KAUST affiliated authors.