Temporal and spacial evolution of bursts in creep rupture

Abstract

We investigate the temporal and spacial evolution of single bursts and their statistics emerging in heterogeneous materials under a constant external load. Based on a fiber bundle model we demonstrate that when the load redistribution is localized along a propagating crack front, the average temporal shape of pulses has a right handed asymmetry, however, for long range interaction a symmetric shape with parabolic functional form is obtained. The pulse shape and spatial evolution of bursts proved to be correlated which can be exploited in materials' testing. The probability distribution of the size and duration of bursts have power law behavior with a crossover to higher exponents as the load is lowered. The crossover emerges due to the competition of the slow and fast modes of local breaking being dominant at low and high loads, respectively.

5 pages, 5 figures

References in corpus (5)

• Statistical Models of Fracture
• Crackling dynamics in material failure as the signature of a self-organized dynamic phase transition
• Quasi-periodic events in crystal plasticity and the self-organized avalanche oscillator
• Local dynamics of a randomly pinned crack front during creep and forced propagation: An experimental study
• $1/f$ noise and avalanche scaling in plastic deformation

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