Subcritical Statistics in Rupture of Fibrous Materials: Experiments and Model

Santucci, Stéphane; Vanel, Loïc; Ciliberto, S.

doi:10.1103/physrevlett.93.095505

Cited by 83 publications

(110 citation statements)

References 21 publications

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“…The data acquired by Santucci et al [10] was obtained in experiments where centrally notched sheets of fax paper were fractured by standard tensile testing machine. Four resulting crack profiles h(x) were digitized.…”

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confidence: 99%

Fracture Surfaces as Multiscaling Graphs

et al. 2006

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Fracture paths in quasi-two-dimensional (2D) media (e.g thin layers of materials, paper) are analyzed as self-affine graphs h(x) of height h as a function of length x. We show that these are multiscaling, in the sense that n th order moments of the height fluctuations across any distance ℓ scale with a characteristic exponent that depends nonlinearly on the order of the moment. Having demonstrated this, one rules out a widely held conjecture that fracture in 2D belongs to the universality class of directed polymers in random media. In fact, 2D fracture does not belong to any of the known kinetic roughening models. The presence of multiscaling offers a stringent test for any theoretical model; we show that a recently introduced model of quasi-static fracture passes this test.

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Fracture Surfaces as Multiscaling Graphs

et al. 2006

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“…An example that provides us with information of sufficient accuracy to establish the multiscaling characteristics is rupture lines in paper. The data acquired by Santucci et al [17] was obtained in experiments where centrally notched sheets of fax paper were fractured by standard tensile testing machine. Four resulting crack profiles h(x) were digitized.…”

Section: Multiscaling In 1+1 Dimensional Fracturementioning

confidence: 99%

“…Samples that exhibit marked trends (probably due to the finite size of the sample), were detrended by subtracting the mean from each distribution. The computed pdf's were then used to compute the moments (17), and these in turn, once presented as log-log plots, yield the scaling exponents ζ (n) . Such a typical log-log plot is shown in Fig.…”

Section: Multiscaling In 1+1 Dimensional Fracturementioning

confidence: 99%

Statistical Physics of Fracture Surfaces Morphology

2006

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Experiments on fracture surface morphologies offer increasing amounts of data that can be analyzed using methods of statistical physics. One finds scaling exponents associated with correlation and structure functions, indicating a rich phenomenology of anomalous scaling. We argue that traditional models of fracture fail to reproduce this rich phenomenology and new ideas and concepts are called for. We present some recent models that introduce the effects of deviations from homogeneous linear elasticity theory on the morphology of fracture surfaces, succeeding to reproduce the multiscaling phenomenology at least in 1+1 dimensions. For surfaces in 2+1 dimensions we introduce novel methods of analysis based on projecting the data on the irreducible representations of the SO(2) symmetry group. It appears that this approach organizes effectively the rich scaling properties. We end up with the proposition of new experiments in which the rotational symmetry is not broken, such that the scaling properties should be particularly simple.It is a privilege to dedicate this paper to Pierre Hohenberg and Jim Langer who contributed, respectively, decisive ideas to scaling concepts in statistical physics and to the study of fracture. It is our hope that the marriage of these two issues in the present paper may give them some degree of pleasure.

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“…A particular scenario where one can study creep is the advancement of a single crack under a constant driving force. One can study this in simple paper sheets, and for quite some time it has been noticed that this involves statistical phenomena, an intermittent response which could be characterized by "avalanches", in particular of acoustic emission (AE) events [2,3,4,5].…”

Section: Introductionmentioning

confidence: 99%

Line creep in paper peeling

et al. 2008

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The dynamics of a "peeling front" or an elastic line is studied under creep (constant load) conditions. Our experiments show an exponential dependence of the creep velocity on the inverse force (mass) applied. In particular, the dynamical correlations of the avalanche activity are discussed here. We compare various avalanche statistics to those of a line depinning model with non-local elasticity, and study various measures of the experimental avalanche-avalanche and temporal correlations such as the autocorrelation function of the released energy and aftershock activity. From all these we conclude, that internal avalanche dynamics seems to follow "line depinning" -like behavior, in rough agreement with the depinning model. Meanwhile, the correlations reveal subtle complications not implied by depinning theory. Moreover, we also show how these results can be understood from a geophysical point of view.PACS numbers:

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Subcritical Statistics in Rupture of Fibrous Materials: Experiments and Model

Cited by 83 publications

References 21 publications

Fracture Surfaces as Multiscaling Graphs

Fracture Surfaces as Multiscaling Graphs

Statistical Physics of Fracture Surfaces Morphology

Line creep in paper peeling

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