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Spiral patterns in the packing of flexible structures
L Boué1, M Adda-Bedia, A Boudaoud
1Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, 24 Rue Lhomond, Paris Cedex 05, France.
Physical Review Letters
|December 13, 2006
Summary
Spiral patterns emerge generically in elastic structures during compaction. Experiments and theory reveal how elasticity and geometry interplay to create these complex, bifurcating patterns without adjustable parameters.
Area of Science:
- Physics
- Materials Science
- Mechanics
Background:
- Spiral patterns are observed in various natural and engineered close-packed elastic structures.
- Understanding the formation mechanisms of these patterns is crucial for predicting material behavior.
Purpose of the Study:
- To investigate the emergence of spiral patterns in compacted elastic structures.
- To provide a theoretical framework explaining the role of elasticity and geometry in pattern formation.
Main Methods:
- Model experiments involving the compaction of quasi-1D sheets into quasi-2D containers.
- Simultaneous quantitative measurements of mechanical forces and observation of folded configurations.
- Development of a theoretical approach based on elasticity and geometry.
Main Results:
- Spiral patterns are a generic feature in the studied close-packed elastic structures.
- The interplay between elasticity and geometry drives a succession of bifurcations leading to pattern formation.
- Experimental forces and shapes are accurately reproduced by the theoretical model without adjustable parameters.
Conclusions:
- The study elucidates the fundamental principles governing the formation of spiral patterns in elastic materials.
- The findings offer a predictive model for understanding complex pattern development in compacted structures.
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