Discrepancy between sub-critical and fast rupture roughness: a cumulant analysis

TL;DR

This paper investigates the differences in crack interface roughness during slow and fast fracture growth in paper sheets, using a novel multifractal analysis method inspired by turbulence studies.

Contribution

It introduces a new multifractal formalism approach to distinguish roughness characteristics between sub-critical and fast crack growth regimes.

Findings

Roughness differs significantly between slow and fast crack regimes.

Deviations from monofractality vary across regimes.

A new analysis method reveals differences in fracture surface complexity.

Abstract

We study the roughness of a crack interface in a sheet of paper. We distinguish between slow (sub-critical) and fast crack growth regimes. We show that the fracture roughness is different in the two regimes using a new method based on a multifractal formalism recently developed in the turbulence literature. Deviations from monofractality also appear to be different in both regimes.