The Mathematical Institute, University of Oxford, Eprints Archive

Morphoelastic rods Part 1: A single growing elastic rod

Moulton, D. E. and Lessinnes, T. and Goriely, A. (2012) Morphoelastic rods Part 1: A single growing elastic rod. Journal of the Mechanics and Physics of Solids . (Submitted)

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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.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1569
Deposited By:Peter Hudston
Deposited On:26 Jul 2012 09:16
Last Modified:26 Jul 2012 09:16

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