Morphoelastic rods III: Differential growth and curvature generation in elastic filaments

Author: 

Moulton, D
Lessinnes, T
Goriely, A

Publication Date: 

16 May 2020

Journal: 

Journal of the Mechanics and Physics of Solids

Last Updated: 

2020-10-11T21:45:02.833+01:00

Volume: 

142

DOI: 

10.1016/j.jmps.2020.104022

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

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article