Power law scaling of lateral deformations with universal Poissons index for randomly folded thin sheets

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dc.creatorBalankin, Alexander S.
dc.creatorOchoa, Didier Samayoa
dc.creatorLeon, Ernesto Pineda
dc.creatorde Oca, Rolando Cortes Montes
dc.creatorRangel, Antonio Horta
dc.creatorCruz, Miguel Angel Martinez
dc.date2008-08-24
dc.date.accessioned2026-07-07T09:58:13Z
dc.date.available2026-07-07T09:58:13Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0808.3275
dc.identifierhttp://arxiv.org/abs/0808.3275
dc.identifierPHYSICAL REVIEW B 77, 125421 (2008)
dc.identifierdoi:10.1103/PhysRevB.77.125421
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167636
dc.subjectSoft Condensed Matter
dc.titlePower law scaling of lateral deformations with universal Poissons index for randomly folded thin sheets
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