Growth induced buckling of morphoelastic rod in viscous medium

doi:10.1088/1674-1056/ab7b4d

中国物理B ›› 2020, Vol. 29 ›› Issue (5): 54501-054501.doi: 10.1088/1674-1056/ab7b4d

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Growth induced buckling of morphoelastic rod in viscous medium

Yitong Zhang(张一桐), Shuai Zhang(张帅), Peng Wang(王鹏)

School of Civil Engineering and Architecture, University of Jinan, Jinan 250022, China

收稿日期:2019-10-24 修回日期:2020-01-21 出版日期:2020-05-05 发布日期:2020-05-05
通讯作者: Peng Wang E-mail:sdpengwang@163.com
基金资助:
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).

Growth induced buckling of morphoelastic rod in viscous medium

Yitong Zhang(张一桐), Shuai Zhang(张帅), Peng Wang(王鹏)

School of Civil Engineering and Architecture, University of Jinan, Jinan 250022, China

Received:2019-10-24 Revised:2020-01-21 Online:2020-05-05 Published:2020-05-05
Contact: Peng Wang E-mail:sdpengwang@163.com
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: growth, morphoelastic rod, Kirchhoff rod, buckling, perturbation

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.

Key words: growth, morphoelastic rod, Kirchhoff rod, buckling, perturbation

中图分类号: (Variational and optimization methods)

45.10.Db

46.15.Ff (Perturbation and complex analysis methods) 45.70.Qj (Pattern formation)

张一桐, 张帅, 王鹏. Growth induced buckling of morphoelastic rod in viscous medium[J]. 中国物理B, 2020, 29(5): 54501-054501.

Yitong Zhang(张一桐), Shuai Zhang(张帅), Peng Wang(王鹏). Growth induced buckling of morphoelastic rod in viscous medium[J]. Chin. Phys. B, 2020, 29(5): 54501-054501.

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Growth induced buckling of morphoelastic rod in viscous medium

Growth induced buckling of morphoelastic rod in viscous medium

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