Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2008-08-24
PHYSICAL REVIEW B 77, 125421 (2008)
Physics
Condensed Matter
Soft Condensed Matter
Scientific paper
10.1103/PhysRevB.77.125421
We study the lateral deformations of randomly folded elastoplastic and predominantly plastic thin sheets under the uniaxial and radial compressions. We found that the lateral deformations of cylinders folded from elastoplastic sheets of paper obey a power law behavior with the universal Poissons index nu = 0.17 pm 0.01, which does not depend neither the paper kind and sheet sizes, nor the folding confinement ratio. In contrast to this, the lateral deformations of randomly folded predominantly plastic aluminum foils display the linear dependence on the axial compression with the universal Poissons ratio nu_e = 0.33 pm 0.01. This difference is consistent with the difference in fractal topology of randomly folded elastoplastic and predominantly plastic sheets, which is found to belong to different universality classes. The general form of constitutive stress-deformation relations for randomly folded elastoplastic sheets is suggested.
Balankin Alexander S.
de Oca Rolando Cortes Montes
Leon Ernesto Pineda
Martinez Cruz Miguel Angel
Ochoa Didier Samayoa
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