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Avalanches and extreme value statistics in interfacial crackling dynamics

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Avalanches and extreme value statistics in interfacial crackling dynamics. / Santucci, S.; Tallakstad, K. T.; Angheluta, L.; Laurson, L.; Toussaint, R.; Måløy, K. J.

In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 377, No. 2136, 20170394, 14.01.2019.

Research output: Contribution to journalArticleScientificpeer-review

Harvard

Santucci, S, Tallakstad, KT, Angheluta, L, Laurson, L, Toussaint, R & Måløy, KJ 2019, 'Avalanches and extreme value statistics in interfacial crackling dynamics', Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 377, no. 2136, 20170394. https://doi.org/10.1098/rsta.2017.0394

APA

Santucci, S., Tallakstad, K. T., Angheluta, L., Laurson, L., Toussaint, R., & Måløy, K. J. (2019). Avalanches and extreme value statistics in interfacial crackling dynamics. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 377(2136), [20170394]. https://doi.org/10.1098/rsta.2017.0394

Vancouver

Santucci S, Tallakstad KT, Angheluta L, Laurson L, Toussaint R, Måløy KJ. Avalanches and extreme value statistics in interfacial crackling dynamics. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2019 Jan 14;377(2136). 20170394. https://doi.org/10.1098/rsta.2017.0394

Author

Santucci, S. ; Tallakstad, K. T. ; Angheluta, L. ; Laurson, L. ; Toussaint, R. ; Måløy, K. J. / Avalanches and extreme value statistics in interfacial crackling dynamics. In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2019 ; Vol. 377, No. 2136.

Bibtex - Download

@article{38336e8fdc3f4f0897b06f0b2736e2e3,
title = "Avalanches and extreme value statistics in interfacial crackling dynamics",
abstract = "We study the avalanche and extreme statistics of the global velocity of a crack front, propagating slowly along a weak heterogeneous interface of a transparent polymethyl methacrylate block. The different loading conditions used (imposed constant velocity or creep relaxation) lead to a broad range of average crack front velocities. Our high-resolution and large dataset allows one to characterize in detail the observed intermittent crackling dynamics. We specifically measure the size S, the duration D, as well as the maximum amplitude Vmax of the global avalanches, defined as bursts in the interfacial crack global velocity time series. Those quantities characterizing the crackling dynamics follow robust power-law distributions, with scaling exponents in agreement with the values predicted and obtained in numerical simulations of the critical depinning of a long-range elastic string, slowly driven in a random medium. Nevertheless, our experimental results also set the limit of such model which cannot reproduce the power-law distribution of the maximum amplitudes of avalanches of a given duration reminiscent of the underlying fat-tail statistics of the local crack front velocities.",
keywords = "Avalanches, Depinning transition, Extreme value statistics",
author = "S. Santucci and Tallakstad, {K. T.} and L. Angheluta and L. Laurson and R. Toussaint and M{\aa}l{\o}y, {K. J.}",
year = "2019",
month = "1",
day = "14",
doi = "10.1098/rsta.2017.0394",
language = "English",
volume = "377",
journal = "Philosophical Transactions of the Royal Society A: Mathematical Physical and Engineering Sciences",
issn = "1364-503X",
publisher = "Royal Society, The",
number = "2136",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Avalanches and extreme value statistics in interfacial crackling dynamics

AU - Santucci, S.

AU - Tallakstad, K. T.

AU - Angheluta, L.

AU - Laurson, L.

AU - Toussaint, R.

AU - Måløy, K. J.

PY - 2019/1/14

Y1 - 2019/1/14

N2 - We study the avalanche and extreme statistics of the global velocity of a crack front, propagating slowly along a weak heterogeneous interface of a transparent polymethyl methacrylate block. The different loading conditions used (imposed constant velocity or creep relaxation) lead to a broad range of average crack front velocities. Our high-resolution and large dataset allows one to characterize in detail the observed intermittent crackling dynamics. We specifically measure the size S, the duration D, as well as the maximum amplitude Vmax of the global avalanches, defined as bursts in the interfacial crack global velocity time series. Those quantities characterizing the crackling dynamics follow robust power-law distributions, with scaling exponents in agreement with the values predicted and obtained in numerical simulations of the critical depinning of a long-range elastic string, slowly driven in a random medium. Nevertheless, our experimental results also set the limit of such model which cannot reproduce the power-law distribution of the maximum amplitudes of avalanches of a given duration reminiscent of the underlying fat-tail statistics of the local crack front velocities.

AB - We study the avalanche and extreme statistics of the global velocity of a crack front, propagating slowly along a weak heterogeneous interface of a transparent polymethyl methacrylate block. The different loading conditions used (imposed constant velocity or creep relaxation) lead to a broad range of average crack front velocities. Our high-resolution and large dataset allows one to characterize in detail the observed intermittent crackling dynamics. We specifically measure the size S, the duration D, as well as the maximum amplitude Vmax of the global avalanches, defined as bursts in the interfacial crack global velocity time series. Those quantities characterizing the crackling dynamics follow robust power-law distributions, with scaling exponents in agreement with the values predicted and obtained in numerical simulations of the critical depinning of a long-range elastic string, slowly driven in a random medium. Nevertheless, our experimental results also set the limit of such model which cannot reproduce the power-law distribution of the maximum amplitudes of avalanches of a given duration reminiscent of the underlying fat-tail statistics of the local crack front velocities.

KW - Avalanches

KW - Depinning transition

KW - Extreme value statistics

U2 - 10.1098/rsta.2017.0394

DO - 10.1098/rsta.2017.0394

M3 - Article

VL - 377

JO - Philosophical Transactions of the Royal Society A: Mathematical Physical and Engineering Sciences

JF - Philosophical Transactions of the Royal Society A: Mathematical Physical and Engineering Sciences

SN - 1364-503X

IS - 2136

M1 - 20170394

ER -