Growth induced buckling of morphoelastic rod in viscous medium

doi:10.1088/1674-1056/ab7b4d

Abstract Biological growth is a common phenomenon in nature, and some organisms such as DNA molecules and bacterial filaments grow in viscous media. The growth induced instability of morphoelastic rod in a viscous medium is studied in this paper. Based on the Kirchhoff kinetic analogy method, the mechanical model for growing elastic thin rod in the viscous medium is established. A perturbation analysis is used to analyze the stability of the growing elastic rod in the viscous medium. We apply the results into planar growing ring and get its criterion of instability. Take the criterion into DNA ring to discuss the influence of viscous resistance on its instability.

Keywords: growth morphoelastic rod Kirchhoff rod buckling perturbation

Received: 24 October 2019
Revised: 21 January 2020
Accepted manuscript online:

PACS:	45.10.Db	(Variational and optimization methods)
	46.15.Ff	(Perturbation and complex analysis methods)
	45.70.Qj	(Pattern formation)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11772141 and 11262019) and the State Scholarship Fund of China Scholarship Council (Grant No. 201708370030).

Corresponding Authors: Peng Wang
E-mail: sdpengwang@163.com

Cite this article:

Yitong Zhang(张一桐), Shuai Zhang(张帅), Peng Wang(王鹏) Growth induced buckling of morphoelastic rod in viscous medium 2020 Chin. Phys. B 29 054501

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Growth induced buckling of morphoelastic rod in viscous medium

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