A curvature-induced force threshold controls laddering onset and arrest in tensioned knits, with propagation velocity scaling linearly with fabric tension due to bending waves and friction.
2024.arXiv preprint arXiv:2410.14810
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Textiles are reviewed as condensed-matter systems whose woven and knitted structures are topologically knots and links in a thickened torus, with mechanics tied to yarn geometry and dissipation.
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Laddering of a knitted fabric: a topology-induced failure
A curvature-induced force threshold controls laddering onset and arrest in tensioned knits, with propagation velocity scaling linearly with fabric tension due to bending waves and friction.
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Textiles: from twisted yarn to topology and mechanics
Textiles are reviewed as condensed-matter systems whose woven and knitted structures are topologically knots and links in a thickened torus, with mechanics tied to yarn geometry and dissipation.