Aftershock sequences and seismic-like organization of acoustic events produced by a single propagating crack

Abstract

Brittle fractures of inhomogeneous materials like rocks, concrete, or ceramics are of two types: Nominally brittle and driven by the propagation of a single dominant crack or quasi-brittle and resulting from the accumulation of many microcracks. The latter goes along with acoustic noise, whose analysis has revealed that events form aftershock sequences obeying characteristic laws reminiscent of those in seismology. Yet, their origin lacks explanation. Here we show that such a statistical organization is not only specific to the multi-cracking situations of quasi-brittle failure and seismology, but also rules the acoustic events produced by a propagating crack. This simpler situation has permitted us to relate these laws to the overall scale-free distribution of inter-event time and energy and to uncover their selection by the crack speed. These results provide a comprehensive picture of how acoustic events are organized upon material failure in the most fundamental of fracture states: single propagating cracks.

arXiv comment30 pages

References in corpus (23)

• Crackling Noise
• Unified Scaling Law for Earthquakes
• Long-Term Clustering, Scaling, and Universality in the Temporal Occurrence of Earthquakes
• Statistical similarity between the compression of a porous material and earthquakes
• Beyond power laws: Universality in the average avalanche shape
• Scaling exponents for Barkhausen avalanches in polycrystals and amorphous ferromagnets
• Is Earthquake Triggering Driven by Small Earthquakes?
• Crackling dynamics in material failure as the signature of a self-organized dynamic phase transition
• Critical Dynamics of Contact Line Depinning
• Bath's law Derived from the Gutenberg-Richter law and from Aftershock Properties
• Quasi-static crack propagation in heterogeneous media
• Signature of effective mass in crackling noise asymmetry
• Importance of direct and indirect triggered seismicity
• Avalanches and clusters in planar crack front propagation
• Universal Earthquake-Occurrence Jumps, Correlations with Time, and Anomalous Diffusion
• Avalanches in wood compression
• Rupture cascades in a discrete element model of a porous sedimentary rock
• Intermittency and roughening in the failure of brittle heterogeneous materials
• Inter-event correlations from avalanches hiding below the detection threshold
• Analogies between the cracking noise of ethanol-dampened charcoal and earthquakes
• Fluctuations of global energy release and crackling in nominally brittle heterogeneous fracture
• Crackling vs. continuum-like dynamics in brittle failure
• Effect of the porosity on the fracture surface roughness of sintered materials: From anisotropic to isotropic self-affine scaling

Cited by in corpus (16)

• Continuously sheared granular matter reproduces in detail seismicity laws
• Crackling to periodic dynamics in sheared granular media
• Dynamics of cracks in disordered materials
• Seismicity in sheared granular matter
• Avalanche statistics during coarsening dynamics
• Statistical properties of avalanches via the c-record process
• Seismic-like organization of avalanches in a driven long-range elastic string as a paradigm of brittle cracks
• Crack growth in heterogeneous brittle solids : Intermittency, crackling and induced seismicity
• Size effects in the toughening of brittle materials by heterogeneities: a non-linear analysis of front deformations
• Quasi-static crack front deformations in cohesive materials
• Crack propagation by activated avalanches during creep and fatigue from elastic interface theory
• Effect of thresholding on avalanches and their clustering for interfaces with long-range elasticity
• Controlling crackling dynamics by triggering low intensity avalanches
• Correlating the force network evolution and dynamics in slider experiments
• Loss of memory of an elastic line on its way to limit cycles
• Sheared granular matter & the empirical relations of seismicity