# Intrinsically anomalous roughness of randomly crumpled thin sheets.

@article{Balankin2006IntrinsicallyAR, title={Intrinsically anomalous roughness of randomly crumpled thin sheets.}, author={Alexander S. Balankin and Orlando Susarrey Huerta and Rolando Cortes Montes de Oca and Didier Samayoa Ochoa and Jos{\'e} Mart{\'i}nez Trinidad and Maribel A Mendoza}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2006}, volume={74 6 Pt 1}, pages={ 061602 } }

We study the effect of folding ridges on the scaling properties of randomly crumpled sheets of different kinds of paper in the folded and unfolded states. We found that the mean ridge length scales with the sheet size with the scaling exponent mu determined by the competition between bending and stretching deformations in the folded sheet. This scaling determines the mass fractal dimension of randomly folded balls D{M}=2/mu. We also found that surfaces of crumpled balls, as well as unfolded…

## 26 Citations

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A physical model for the evolution of facet area and ridge length distributions of crumpled sheets is identified, and a mechanism for re-fragmentation driven by geometric frustration is proposed, which establishes a feedback loop in which the facet size distribution informs the subsequent rate of fragmentation under repeated confinement.

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It is argued that the dissipation of elastic energy in crushed aluminum foils is ruled by a multiplicative Poisson process governed by the maximum waiting time distribution.

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Crumpled thin sheets exhibit extraordinary characteristics such as a high strength combined with a low volume ratio. This review focuses on the physics of crumpled thin sheets, including the…

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