Journal article
Morphoelastic rods III: Differential growth and curvature generation in elastic filaments
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 3.6MB, Terms of use)
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- Publisher copy:
- 10.1016/j.jmps.2020.104022
Authors
- Publisher:
- Elsevier
- Journal:
- Journal of the Mechanics and Physics of Solids More from this journal
- Volume:
- 142
- Article number:
- 104022
- Publication date:
- 2020-05-16
- Acceptance date:
- 2020-05-05
- DOI:
- ISSN:
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0022-5096
- Language:
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English
- Keywords:
- Pubs id:
-
1102801
- Local pid:
-
pubs:1102801
- Deposit date:
-
2020-05-05
- ARK identifier:
Terms of use
- Copyright holder:
- Elsevier Ltd
- Copyright date:
- 2020
- Rights statement:
- © 2020 Elsevier Ltd.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Elsevier at https://doi.org/10.1016/j.jmps.2020.104022
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