Statistical distributions in the folding of elastic structures

Abstract

The behaviour of elastic structures undergoing large deformations is the result of the competition between confining conditions, self-avoidance and elasticity. This combination of multiple phenomena creates a geometrical frustration that leads to complex fold patterns. By studying the case of a rod confined isotropically into a disk, we show that the emergence of the complexity is associated with a well defined underlying statistical measure that determines the energy distribution of sub-elements,``branches'', of the rod. This result suggests that branches act as the ``microscopic'' degrees of freedom laying the foundations for a statistical mechanical theory of this athermal and amorphous system.

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Cited by in corpus (8)

• Elastocapillary self-folding: buckling, wrinkling and collapse of floating filaments
• Compaction of Quasi One-Dimensional Elastoplastic Materials
• Self-Ordering of Buckling, Bending, Bumping Beams
• Elastocapillary coiling of an elastic rod inside a drop
• Simulation of crumpled sheets via alternating quasistatic and dynamic representations
• Packing of elastic rings with friction
• Packing loops into annular cavities
• First Order Phase Transition of a Long Polymer Chain