Record breaking bursts in a fiber bundle model of creep rupture

Abstract

We investigate the statistics of record breaking events in the time series of crackling bursts in a fiber bundle model of the creep rupture of heterogeneous materials. In the model fibers break due to two mechanisms: slowly accumulating damage triggers bursts of immediate breakings analogous to acoustic emissions in experiments. The rupture process accelerates such that the size of breaking avalanches increases while the waiting time between consecutive events decreases towards failure. Record events are defined as bursts which have a larger size than all previous events in the time series. We analyze the statistics of records focusing on the limit of equal load sharing (ELS) of the model and compare the results to the record statistics of sequences of independent identically distributed random variables. Computer simulations revealed that the number of records grows with the logarithm of the event number except for the close vicinity of macroscopic failure where an exponential dependence is evidenced. The two regimes can be attributed to the dominance of disorder with small burst sizes and to stress enhancements giving rise efficient triggering of extended bursts, respectively. Both the size of records and the increments between consecutive record events are characterized by power law distributions with a common exponent 1.33 significantly different from the usual ELS burst size exponents of fiber bundles. The distribution of waiting times follows the same behavior, however, with two distinct exponents for low and high loads. Studying the evolution of records we identify a load dependent characteristic scale of the system which separates slow down and acceleration of record breaking as failure is approached.

arXiv comment12 pages, 6 figures

References in corpus (17)

• Failure Processes in Elastic Fiber Bundles
• Burst avalanches in solvable models of fibrous materials
• Universality behind Basquin's law of fatigue
• Acoustic Emission from Paper Fracture
• On the Role of Global Warming on the Statistics of Record-Breaking Temperatures
• Creep failures in heterogeneous materials
• Crossover Behavior in Burst Avalanches of Fiber Bundles: Signature of Imminent Failure
• Andrade and Critical Time-to-Failure Laws in Fiber-Matrix Composites: Experiments and Model
• Subcritical statistics in rupture of fibrous materials: Experiments and model
• Networks of Recurrent Events, a Theory of Records, and an Application to Finding Causal Signatures in Seismicity
• Local load sharing fiber bundles with a lower cutoff of strength disorder
• Statistics of acoustic emission in paper fracture: precursors and criticality
• Temporal and spacial evolution of bursts in creep rupture
• Experimental study of the effect of disorder on subcritical crack growth dynamics
• Record-Breaking Avalanches in Driven Threshold Systems
• Subcritical crack growth in fibrous materials
• Creep rupture as a non-homogeneous Poissonian process

Cited by in corpus (5)

• Record breaking bursts during the compressive failure of porous materials
• Record statistics of bursts signals the onset of acceleration towards failure
• Fractal frontiers of bursts and cracks in a fiber bundle model of creep rupture
• Time dependent fracture under unloading in a fiber bundle model
• Record breaking statistics near second order phase transitions