Author
Moulton, D
Lessinnes, T
Goriely, A
Journal title
Journal of the Mechanics and Physics of Solids
DOI
10.1016/j.jmps.2020.104022
Volume
142
Last updated
2024-03-16T15:17:36.117+00:00
Abstract
In many growing filamentary structures such as neurons, roots, and stems, the intrinsic shapes and material response is produced by differential growth of the tissue. Therefore, a key problem is to link the growth field at the microscopic level to the macroscopic shape and properties of the filaments. Here, starting with a morphoelastic tubular structure and assuming a form of the growth tensor, we use dimensional reduction to obtain the overall curvature, torsion, and material parameters of a growing filament. Various examples of curvature and torsion generation are given and the impact of residual stress on the generation of curvature is demonstrated.
Symplectic ID
1102801
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Publication type
Journal Article
Publication date
16 May 2020
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