Condensation of elastic energy in two-dimensional packing of wire

Details Condensation of elastic energy in two-dimensional packing of wire Condensation of elastic energy in two-dimensional packing of wire

2007-05-15

arxiv.org/abs/0705.2221v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, accepted in Physical Review E

Scientific paper

10.1103/PhysRevE.75.066113

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 $D =1.9 \pm 0.1$.

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