Anisotropy in Rupture Lines of Paper Sheets

TL;DR

This study investigates how the fracture lines in different types of paper sheets exhibit anisotropic properties, with the Hurst exponent varying by orientation in some papers, revealing directional dependence in rupture behavior.

Contribution

It provides experimental evidence of anisotropy in rupture lines of paper sheets using the Hurst exponent, highlighting differences among paper types and orientations.

Findings

Hurst exponent varies with orientation in newsprint, towel, and silk papers.

Other paper types show no dependence of the Hurst exponent on direction.

Fracture behavior exhibits anisotropy in specific paper materials.

Abstract

We have experimentally investigated the fracture process in paper samples submitted to a uniaxial force. Five types of paper sheets (newsprint, towel, sulfite, silk and couche papers) were fractured along two orthogonal orientations. In order to characterize the rupture lines of the paper sheets we utilized the Hurst exponent. Our results indicate a dependence of the Hurst exponent on the orientation of the paper sheets for samples of newsprint and, probably, towel and silk papers. For the other types of paper the Hurst exponent does not depend on the direction of crack propagation.