Fracture Roughness Scaling: a case study on planar cracks

Abstract

Using a multi-resolution technique, we analyze large in-plane fracture fronts moving slowly between two sintered Plexiglas plates. We find that the roughness of the front exhibits two distinct regimes separated by a crossover length scale ${\delta }^{\ast }$. Below ${\delta }^{\ast }$, we observe a multi-affine regime and the measured roughness exponent ${\zeta }_{\parallel }^{-}=0.60\pm 0.05$ is in agreement with the coalescence model. Above ${\delta }^{\ast }$, the fronts are mono-affine, characterized by a roughness exponent ${\zeta }_{\parallel }^{+}=0.35\pm 0.05$, consistent with the fluctuating line model. We relate the crossover length scale to fluctuations in fracture toughness and the stress intensity factor.

References in corpus (16)

• Statistical Models of Fracture
• Crackling dynamics in material failure as the signature of a self-organized dynamic phase transition
• Roughness at the depinning threshold for a long-range elastic string
• Pinning/depinning of crack fronts in heterogeneous materials
• Scaling exponents for fracture surfaces in homogenous glass and glassy ceramics
• Origin of the Universal Roughness Exponent of Brittle Fracture Surfaces: Correlated Percolation in the Damage Zone
• Can crack front waves explain the roughness of cracks ?
• Gaussian Statistics of Fracture Surfaces
• Roughness of Interfacial Crack Front: Correlated Percolation in the Damage Zone
• Low self-affine exponents of fracture surfaces of glass ceramics
• Quasi-static cracks and minimal energy surfaces
• Crack propagation through phase separated glasses: effect of the characteristic size of disorder
• Fracture surfaces of heterogeneous materials: a 2D solvable model
• Comment on: "Roughness of Interfacial Crack Fronts: Stress-Weighted Percolation in the Damage Zone"
• Reply to Comment on "Roughness of Interfacial Crack Fronts: Stress-Weighted Percolation in the Damage Zone"
• Self-Affinity in the Gradient Percolation Problem

Cited by in corpus (26)

• Stylolites: A review
• Local dynamics of a randomly pinned crack front during creep and forced propagation: An experimental study
• Tunable failure: control of rupture through rigidity
• Turbulent fracture surfaces: A footprint of damage percolation?
• Universality Classes in Constrained Crack Growth
• Crossover behavior in interface depinning
• Finite size effects on crack front pinning at heterogeneous planar interfaces: Experimental, finite elements and perturbation approaches
• Crack front dynamics: the interplay of singular geometry and crack instabilities
• How moving cracks in brittle solids choose their path
• Universal dimensional crossover of domain wall dynamics in ferromagnetic films
• Field theory of disordered systems -- Avalanches of an elastic interface in a random medium
• Interface propagation in fiber bundles: Local, mean-field and intermediate range-dependent statistics
• Roughness and multiscaling of planar crack fronts
• Universal correlations between shocks in the ground state of elastic interfaces in disordered media
• Slow crack propagation through a disordered medium: Critical transition and dissipation
• Depinning of disordered bosonic chains
• Correlations between avalanches in the depinning dynamics of elastic interfaces
• Role of the sample thickness in planar crack propagation
• Universality in the mean spatial shape of avalanches
• Long-range interactions in the avalanches of elastic interfaces
• Asymmetric Roughness of Elastic Interfaces at the Depinning Threshold
• Droplet spreading and pinning on heterogeneous substrates
• Analytical Methods and Field Theory for Disordered Systems
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles
• Height distribution of elastic interfaces in quenched random media
• Scaling laws governing the roughness of the swash edge line