Scaling properties of randomly folded plastic sheets

Alexander S. Balankin, Iván Campos Silva, Omar Antonio Martínez, Orlando Susarrey Huerta

Research output: Contribution to journalArticle

40 Citations (Scopus)

Abstract

We study the scaling properties of randomly folded aluminum sheets of different thicknesses h and widths L. We found that the fractal dimension D=2.30±0.01 and the force scaling exponent δ=0.21±0.02 are independent of the sheet thickness and close to those obtained in numerical simulations with a coarse-grained model of triangulated self-avoiding surfaces with bending and stretching rigidity. So our findings suggest that finite bending rigidity and self-avoidance play the predominant roles in the scaling behavior of randomly folded plastic sheets. © 2007 The American Physical Society.
Original languageAmerican English
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
DOIs
StatePublished - 24 May 2007

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Rigidity
Plastics
plastics
Scaling
scaling
rigidity
Scaling Exponent
Scaling Behavior
Fractal Dimension
Aluminum
avoidance
Numerical Simulation
fractals
exponents
aluminum
simulation
Model

Cite this

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abstract = "We study the scaling properties of randomly folded aluminum sheets of different thicknesses h and widths L. We found that the fractal dimension D=2.30±0.01 and the force scaling exponent δ=0.21±0.02 are independent of the sheet thickness and close to those obtained in numerical simulations with a coarse-grained model of triangulated self-avoiding surfaces with bending and stretching rigidity. So our findings suggest that finite bending rigidity and self-avoidance play the predominant roles in the scaling behavior of randomly folded plastic sheets. {\circledC} 2007 The American Physical Society.",
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Scaling properties of randomly folded plastic sheets. / Balankin, Alexander S.; Silva, Iván Campos; Martínez, Omar Antonio; Huerta, Orlando Susarrey.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 24.05.2007.

Research output: Contribution to journalArticle

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AU - Balankin, Alexander S.

AU - Silva, Iván Campos

AU - Martínez, Omar Antonio

AU - Huerta, Orlando Susarrey

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N2 - We study the scaling properties of randomly folded aluminum sheets of different thicknesses h and widths L. We found that the fractal dimension D=2.30±0.01 and the force scaling exponent δ=0.21±0.02 are independent of the sheet thickness and close to those obtained in numerical simulations with a coarse-grained model of triangulated self-avoiding surfaces with bending and stretching rigidity. So our findings suggest that finite bending rigidity and self-avoidance play the predominant roles in the scaling behavior of randomly folded plastic sheets. © 2007 The American Physical Society.

AB - We study the scaling properties of randomly folded aluminum sheets of different thicknesses h and widths L. We found that the fractal dimension D=2.30±0.01 and the force scaling exponent δ=0.21±0.02 are independent of the sheet thickness and close to those obtained in numerical simulations with a coarse-grained model of triangulated self-avoiding surfaces with bending and stretching rigidity. So our findings suggest that finite bending rigidity and self-avoidance play the predominant roles in the scaling behavior of randomly folded plastic sheets. © 2007 The American Physical Society.

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