Unfolding of Crumpled Thin Sheets

TL;DR

This paper investigates the mechanical behavior of crumpled thin sheets, revealing phase coexistence and long-range interactions that influence their stress response and unfolding process.

Contribution

It provides experimental insights into the stress-strain behavior and force fluctuations in crumpled sheets, highlighting the role of hierarchical structures and long-distance interactions.

Findings

Transition from linear to sublinear stress scaling with exponent 0.65

Identification of phase coexistence during stretching

Analysis of force peak distributions and long-range interactions

Abstract

Crumpled thin sheets are complex fractal structures whose physical properties are influenced by a hierarchy of ridges. In this Letter, we report experiments that measure the stress-strain relation and show the coexistence of phases in the stretching of crumpled surfaces. The pull stress showed a change from a linear Hookean regime to a sublinear scaling with an exponent of $0.65 \pm 0.03$, which is identified with the Hurst exponent of the crumpled sheets. The stress fluctuations are studied, the statistical distribution of force peaks is analyzed and it is shown how the unpacking of crumpled sheets is guided by long distance interactions.