2008/03/24 by Alexander S. Balankin, Didier Samayoa Ochoa, Didier Samayoa +8 · 1 citation
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Advanced Materials and Mechanics #Composite material #Condensed matter physics #Deformation (meteorology) #Fractal #Geometry #Material Properties and Processing #Materials science #Mathematical analysis #Mathematics #Physics #Poisson distribution #Poisson's ratio #Power law #Textile materials and evaluations #Universality (dynamical systems) #cond-mat.soft
paper · pdf · doi:10.1103/physrevb.77.125421
published as PHYSICAL REVIEW B 77, 125421 (2008)
openalex publication_date 2008/03/24 · arxiv created 2008/08/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 Poisson's index \ensuremathν=0.17\ifmmode±\else\textpm\fi0.01, which does not depend neither the paper kind and sheet sizes (thickness, edge length) 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 Poisson's ratio \ensuremathνe=0.33\ifmmode±\else\textpm\fi0.01. 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.