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)
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.
|Subjects:||D - G > General|
|Research Groups:||Oxford Centre for Collaborative Applied Mathematics|
|Deposited By:||Peter Hudston|
|Deposited On:||26 Jul 2012 08:16|
|Last Modified:||29 May 2015 19:15|
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