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Morphoelastic rods Part 1: A single growing elastic rod

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 str...

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Publication date:
2012-01-01
UUID:
uuid:3cef2a26-b4c9-4bf1-be0d-1a0ac91f8c00
Local pid:
oai:eprints.maths.ox.ac.uk:1569
Deposit date:
2012-07-26

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