Physics
Document Type
Article
Abstract
Twisting sheets as a strategy to form functional yarns relies on millennia of human practice in making catguts and fabric wearables, but it still lacks overarching principles to guide their intricate architectures. We show that twisted hyperelastic sheets form multilayered self-scrolled yarns, through recursive folding and twist localization, that can be reconfigured and redeployed. We combine weakly nonlinear elasticity and origami to explain the observed ordered progression beyond the realm of perturbative models. Incorporating dominant stretching modes with folding kinematics, we explain the measured torque and energetics originating from geometric nonlinearities due to large displacements. Complementarily, we show that the resulting structures can be algorithmically generated using Schläfli symbols for star-shaped polygons. A geometric model is then introduced to explain the formation and structure of self-scrolled yarns. Our tensional twist-folding framework shows that origami can be harnessed to understand the transformation of stretchable sheets into self-assembled architectures with a simple twist.
Publication Title
Science Advances
Publication Date
4-2022
Volume
8
Issue
14
ISSN
2375-2548
DOI
10.1126/sciadv.abi8818
Keywords
twist-folding, yarn, recursive folding, Schläfli symbols, origami
Repository Citation
Chopin, Julien and Kudrolli, Arshad, "Tensional twist-folding of sheets into multilayered scrolled yarns" (2022). Physics. 82.
https://commons.clarku.edu/faculty_physics/82
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Copyright Conditions
Chopin, J., & Kudrolli, A. (2022). Tensional twist-folding of sheets into multilayered scrolled yarns. Science Advances, 8(14), eabi8818.
