Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 388, Issue 9, Pages 1780-1790Publisher
ELSEVIER
DOI: 10.1016/j.physa.2009.01.021
Keywords
Forced folding; Scaling; Fractal dimension; Topological crossover
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Funding
- Government of Mexico City [PICCT08-38]
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We study the scaling properties of forced folding of thin materials of different geometry. The scaling relations implying the topological crossovers from the folding of three-dimensional plates to the folding of two-dimensional sheets, and further to the packing of one-dimensional strings, are derived for elastic and plastic manifolds. These topological crossovers in the folding of plastic manifolds were observed in experiments with predominantly plastic aluminum strips of different geometry. Elasto-plastic materials, such as paper sheets during the (fast) folding under increasing confinement force, are expected to obey the scaling force-diameter relation derived for elastic manifolds. However, in experiments with paper strips of different geometry, we observed the crossover from packing of one-dimensional strings to folding two dimensional sheets only, because the fractal dimension of the set of folded elasto-plastic sheets is the thickness dependent due to the strain relaxation after a confinement force is withdrawn. (C) 2009 Elsevier B.V. All rights reserved.
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