Mechanics and topology of twisted hyperelastic filaments under prescribed elongations: Experiment, theory, and simulation

Liu, Lei; Liu, Hao; He, Yuming; Liu, Dabiao

doi:10.1016/j.jmps.2023.105478

Cited by 7 publications

(2 citation statements)

References 43 publications

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“…The development of a comprehensive theory that encompasses these models is necessary. Initial attempts have been made by Liu et al [18] and Fortais et al [19], who extended the energy analysis to predict the critical point of hockle formation and phase transitions of twisted hyperelastic filament. Combining experimental and theoretical approaches contributes to a comprehensive framework for analysing and predicting loop formation and elimination in elastic filaments.…”

Section: Discussionmentioning

confidence: 99%

“…Soft filamentous objects can undergo extensive bending and twisting deformation. Considering a fibre under extreme twist conditions, it can exhibit a variety of geometrically intricate configurations, including localized helices, hockles, loops, solenoids, plectonemes and physical knots [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. When the fibre is twisted, significant elastic energy is stored in the twisted fibre.…”

Section: Introductionmentioning

confidence: 99%

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

Hu,

Teng,

Liu

et al. 2024

Proc. R. Soc. A.

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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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Section: Discussionmentioning

confidence: 99%