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Article Dans Une Revue Physical Review Letters Année : 2022

"Twist-Controlled" force amplification & Spinning tension transition in yarn

Résumé

Combining experiments and numerical simulations with a mechanical/statistical model of twisted yarns, we discuss the spinning transition between a cohesion-less assembly of fibers into a yarn. We show that this transition is continuous but very sharp due to a giant amplification of frictional forces which scales as exp θ 2 , where θ is the twist angle. We demonstrate that this transition is controlled solely by a non-dimensional number H involving twist, friction coefficient, and geometric lengths. A critical value of this number Hc ≃ 30 can be linked to a locking of the fibers together as the tensile strength is reached. This critical value imposes that yarns must be very slender structures with a given pitch. It also induces the existence of an optimal yarn radius. Predictions of our theory are successfully compared to yarns made from natural cotton fibers.
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Dates et versions

hal-03604849 , version 1 (10-03-2022)

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Antoine Seguin, Jérôme Crassous. "Twist-Controlled" force amplification & Spinning tension transition in yarn. Physical Review Letters, 2022, 128 (7), pp.078002. ⟨10.1103/PhysRevLett.128.078002⟩. ⟨hal-03604849⟩
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