Falling through the cracks: energy storage along segmented brittle crack fronts

TL;DR

This study investigates the mechanics of crack front segmentation in brittle materials, revealing how the ligament region influences strain energy concentration and fracture energy during crack propagation.

Contribution

It provides the first quantitative 3D measurements of deformation fields around stepped cracks and within ligaments, elucidating their role in crack stability and energy distribution.

Findings

Ligament concentrates strain energy density.

Apparent fracture energy increases with ligament strain energy.

3D in-situ measurements reveal detailed crack front mechanics.

Abstract

During brittle crack propagation, a smooth crack front curve frequently becomes disjoint, generating a stepped crack and a material ligament that unites the newly formed crack fronts. These universal features fundamentally alter the singular field structure and stability of propagating cracks; however, a quantitative analysis of their mechanics is lacking. Here, we perform in-situ 3D measurements to resolve the deformation field around stepped cracks, and crucially, within the ligament feature. The 3D kinematic data are obtained by scanning a thin laser sheet through the brittle hydrogel samples, while recording the scattered intensity from the embedded tracer particles. We find that the ligament concentrates the strain energy density, and moreover, the apparent fracture energy increases proportionally to the strain energy within the ligament.