TY - JOUR
T1 - Morphoelastic rods. Part I: A single growing elastic rod
AU - Moulton, D.E.
AU - Lessinnes, T.
AU - Goriely, A.
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged 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.
PY - 2013/2
Y1 - 2013/2
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/598886
UR - https://linkinghub.elsevier.com/retrieve/pii/S0022509612002104
UR - http://www.scopus.com/inward/record.url?scp=84871400789&partnerID=8YFLogxK
U2 - 10.1016/j.jmps.2012.09.017
DO - 10.1016/j.jmps.2012.09.017
M3 - Article
SN - 0022-5096
VL - 61
SP - 398
EP - 427
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
IS - 2
ER -