Spiral patterns in the packing of flexible structures |
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Authors: | Boué L Adda-Bedia M Boudaoud A Cassani D Couder Y Eddi A Trejo M |
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Institution: | Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, 24 Rue Lhomond, Paris Cedex 05, France. |
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Abstract: | Spiral patterns are found to be a generic feature in close-packed elastic structures. We describe model experiments of compaction of quasi-1D sheets into quasi-2D containers that allow simultaneous quantitative measurements of mechanical forces and observation of folded configurations. Our theoretical approach shows how the interplay between elasticity and geometry leads to a succession of bifurcations responsible for the emergence of such patterns. Both experimental forces and shapes are also reproduced without any adjustable parameters. |
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