Condensation of elastic energy in two-dimensional packing of wire

Abstract

Forced packing of a long metallic wire injected into a two-dimensional cavity leads to crushed structures involving a hierarchical cascade of loops with varying curvature radii. We study the distribution of elastic energy stored in such systems from experiments, and high-resolution digital techniques. It is found that the set where the elastic energy of curvature is concentrated has dimension $D_{\mathcal{S}}=1.0\pm 0.1$, while the set where the mass is distributed, has dimension $D=1.9\pm 0.1$.

arXiv comment4 pages, 4 figures, accepted in Physical Review E

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Cited by in corpus (13)

• 3-dimensional structure of a sheet crumpled into a ball
• Entropic rigidity of a crumpling network in a randomly folded thin sheet
• Finite Element Simulation of Dense Wire Packings
• Statistical distributions in the folding of elastic structures
• Self-Ordering of Buckling, Bending, Bumping Beams
• Topological crossovers in the forced folding of self-avoiding matter
• Crumpling wires in two dimensions
• Packing of elastic wires in flexible shells
• Plastic Deformation of 2D Crumpled Wires
• Packing of elastic rings with friction
• Tight packing of a flexible rod in two-dimensional cavities
• Unpacking of a crumpled wire from two-dimensional cavities
• Deformation of loops in 2D packing of flexible rods