Toward a further understanding of the loop formation and elimination in twisted filament: experiments and validation

IF 2.9 3区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-01-31 DOI:10.1098/rspa.2023.0719
Jiongjiong Hu, Jiahui Teng, Lei Liu, Dabiao Liu
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Abstract

Motivated by observations of loop formation and elimination phenomena in elastic filaments subjected to torsion and axial end displacement, we develop a tension–torsion tester to study the slack–extension responses of filaments with varied initial twists. The experiments are conducted by initially twisting the filament by a specific degree and subsequently adjusting the axial end displacement. By continuously monitoring the correlation between torque and filament configuration, we can accurately determine the critical points associated with buckling, loop formation and loop elimination. The interconversion of link, twist and writhe is also tracked in the experiment. We establish a relation between torque and end displacement of filament that provides an insight into the conditions leading to instabilities. Three buckling criteria are also evaluated in the context of measurement data. Simulations on the slack and extension of the twisted filaments based on the Cosserat rod theory are performed, providing reliable predictions of the configuration evolution. Our results highlight the importance of twist and slack in torsional buckling processes, providing guidance for the control of systems with twisted slender structures.
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进一步了解扭曲丝中环路的形成和消除:实验与验证
受观察到的受扭转和轴向末端位移影响的弹性丝中的成环和消环现象的启发,我们开发了一种拉伸-扭转测试仪,用于研究初始扭转程度不同的丝的松弛-拉伸响应。实验开始时将丝线扭转一定程度,然后调整轴向端部位移。通过持续监测扭矩和长丝结构之间的相关性,我们可以准确地确定与屈曲、成环和消除环相关的临界点。实验中还跟踪了链接、扭曲和缠绕的相互转换。我们建立了扭矩与丝端位移之间的关系,从而深入了解了导致不稳定的条件。我们还根据测量数据评估了三种屈曲标准。我们根据 Cosserat 杆理论对扭曲丝的松弛和延伸进行了模拟,为构型演变提供了可靠的预测。我们的研究结果强调了扭转和松弛在扭转屈曲过程中的重要性,为控制具有扭曲细长结构的系统提供了指导。
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来源期刊
CiteScore
6.40
自引率
5.70%
发文量
227
审稿时长
3.0 months
期刊介绍: Proceedings A has an illustrious history of publishing pioneering and influential research articles across the entire range of the physical and mathematical sciences. These have included Maxwell"s electromagnetic theory, the Braggs" first account of X-ray crystallography, Dirac"s relativistic theory of the electron, and Watson and Crick"s detailed description of the structure of DNA.
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