Physics – Condensed Matter – Materials Science
Scientific paper
2009-07-25
Physica A 388 (2009) 1780-1790
Physics
Condensed Matter
Materials Science
39 pages, 6 figures
Scientific paper
10.1016/j.physa.2009.01.021
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 threedimensional 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of folded elasto-plastic sheets is the thickness dependent due to the strain relaxation after a confinement force is withdrawn.
Balankin Alexander S.
Leon Ernesto Pineda
Martinez Cruz Miguel Angel
Matamoros Daniel Morales
Ochoa Didier Samayoa
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