Experimental investigation of the effect of thresholding on temporal statistics of avalanches

Lebyodkin, M.A.; Шашков, И. В.; Lebedkina, Tatiana; Gornakov, V. S.

doi:10.1103/physreve.95.032910

Cited by 19 publications

(19 citation statements)

References 43 publications

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“…It was verified (cf. [30,31]) that it renders relatively good estimates of power-law exponents, close to the values obtained by rigorous approaches based on the maximum-likeihood estimation with goodness-of-fit tests [32,33]. The histograms were calculated using equal bin sizes.…”

supporting

confidence: 53%

Crossover in the scale-free statistics of acoustic emission associated with the Portevin-Le Chatelier instability

et al. 2018

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The acoustic emission accompanying plastic deformation obeys scale-free statistics reflecting avalanche-like dislocation motion. This feature holds out for the macroscopically unstable deformation of alloys. However, stress serrations display peaked distributions at low enough strain rates. This occurrence of a characteristic macroscopic scale was supposed to result from the synchronization of dislocation avalanches. In the present work, the synchronization mechanism is studied using statistical analysis of different subsets of acoustic events. A crossover in the power-law exponents is detected for the events occurring during deep stress drops. It is described to a transition from chaining to overlapping dislocation avalanches.

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supporting

confidence: 53%

Crossover in the scale-free statistics of acoustic emission associated with the Portevin-Le Chatelier instability

et al. 2018

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“…Thresholding is a procedure applied to data either intentionally, or effectively due to the device limitations in experimental measurements where the thresholding cannot be avoided 31 . So, let the response signal of the system under study be V ( t ), let V ( t ) > 0 at any moment of time t when system is active (otherwise, let V ( t ) = 0), and let the system evolution proceeds in time separated connected bursts of activity, called avalanches.…”

Section: Resultsmentioning

confidence: 99%

Threshold-induced correlations in the Random Field Ising Model

Janićević

Jovković

Laurson

et al. 2018

Sci Rep

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We present a numerical study of the correlations in the occurrence times of consecutive crackling noise events in the nonequilibrium zero-temperature Random Field Ising model in three dimensions. The critical behavior of the system is portrayed by the intermittent bursts of activity known as avalanches with scale-invariant properties which are power-law distributed. Our findings, based on the scaling analysis and collapse of data collected in extensive simulations show that the observed correlations emerge upon applying a finite threshold to the pertaining signals when defining events of interest. Such events are called subavalanches and are obtained by separation of original avalanches in the thresholding process. The correlations are evidenced by power law distributed waiting times and are present in the system even when the original avalanche triggerings are described by a random uncorrelated process.

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“…(5) Although PDF dependences allow for an intuitively clear interpretation of different behaviors [39], a correct evaluation of power laws is a delicate task, and more exact methods were suggested recently [40,41]. Nevertheless, the comparison of estimates of the power-law exponents obtained by different methods showed that direct calculation of PDF renders reliable results for the PLC effect, providing that the low probability of rare large events is handled accurately [37,42]. The method of bin coupling was used for this purpose.…”

Section: Experiments and Data Analysismentioning

confidence: 99%

Correlation versus randomization of jerky flow in an AlMgScZr alloy using acoustic emission

2018

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Jerky flow in solids results from collective dynamics of dislocations which gives rise to serrated deformation curves and a complex evolution of the strain heterogeneity. A rich example of this phenomenon is the Portevin-Le Chatelier effect in alloys. The corresponding spatiotemporal patterns showed some universal features which provided a basis for a well-known phenomenological classification. Recent studies revealed peculiar features in both the stress serration sequences and the kinematics of deformation bands in Al-based alloys containing fine microstructure elements, such as nanosize precipitates and/or submicron grains. In the present work, jerky flow of an AlMgScZr alloy is studied using statistical analysis of stress serrations and the accompanying acoustic emission. As in the case of coarse-grained binary AlMg alloys, the amplitude distributions of acoustic events obey a power-law scaling which is usually considered as evidence of avalanchelike dynamics. However, the scaling exponents display specific dependences on the strain and strain rate for the investigated materials. The observed effects bear evidence to a competition between the phenomena of synchronization and randomization of dislocation avalanches, which may shed light on the mechanisms leading to a high variety of jerky flow patterns observed in applied alloys.

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Experimental investigation of the effect of thresholding on temporal statistics of avalanches

Cited by 19 publications

References 43 publications

Crossover in the scale-free statistics of acoustic emission associated with the Portevin-Le Chatelier instability

Crossover in the scale-free statistics of acoustic emission associated with the Portevin-Le Chatelier instability

Threshold-induced correlations in the Random Field Ising Model

Correlation versus randomization of jerky flow in an AlMgScZr alloy using acoustic emission

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