Acoustic Emission from Paper Fracture

Salminen, Lauri; Tolvanen, Antti; Alava, Mikko J.

doi:10.1103/physrevlett.89.185503

Cited by 134 publications

(149 citation statements)

References 31 publications

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“…Experimental observations have been reported for several materials such as wood [12], cellular glass [13], concrete [14] and paper [15], but universality in the scaling exponents does not appear to be present.…”

Section: Introductionmentioning

confidence: 99%

Crack roughness and avalanche precursors in the random fuse model

2005

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We analyze the scaling of the crack roughness and of avalanche precursors in the two dimensional random fuse model by numerical simulations, employing large system sizes and extensive sample averaging. We find that the crack roughness exhibits anomalous scaling, as recently observed in experiments. The roughness exponents (ζ, ζ loc ) and the global width distributions are found to be universal with respect to the lattice geometry. Failure is preceded by avalanche precursors whose distribution follows a power law up to a cutoff size. While the characteristic avalanche size scales as s0 ∼ L D , with a universal fractal dimension D, the distribution exponent τ differs slightly for triangular and diamond lattices and, in both cases, it is larger than the mean-field (fiber bundle) value τ = 5/2.

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Section: Introductionmentioning

confidence: 99%

Crack roughness and avalanche precursors in the random fuse model

2005

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“…The experiments show that the probability density N(ǫ) of microfractures with energy between ǫ and ǫ + dǫ, follows a powerlaw: N(ǫ) ∼ ǫ −β . Different materials are characterised by different values of β: 1.25 in paper [2], 1.3 in synthetic plaster [3], 1.51 in wood [4], 1.9 in fiberglass [5] and 1.5 in cellular glass [6]. On the other hand, the cumulative energy emitted while approaching the fracture also shows power-law in situations where stress is controlled.…”

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confidence: 99%

Breakdown of heterogeneous materials

Ray¹

2006

Computational Materials Science

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We discuss the threshold activated extremal dynamics that is prevalent in the breakdown processes in heterogeneous materials. We model such systems by an elastic spring network with random breaking thresholds assigned to the springs. Results are obtained from molecular dynamics simulation of the system under constant stress and constant strain conditions. We find that the distribution P (m) of the avalanches of size m, caused by the rupturing of the springs till the failure of the network, decays as a power-law: P (m) ∼ m −α , where α can be closely approximated to 5/2. The average avalanche size < m > diverges as < m >∼ (F c − F ) −1/2 close to the stress F c at which the total failure of the network occurs. We study the time evolution of the breakdown process: we find that the bonds rupture randomly over the network at initial times but the rupturing becomes highly correlated at late times to give rise to a well-defined macroscopic crack.

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“…The acoustic emission data is processed into t i , E i -pairs, where a heuristic method is used to identify the event and its energy. The same method is used in References [3,4,10,11]. Figure 1 shows an example of the t i , E i timeseries for a single creep experiment.…”

Section: Methodsmentioning

confidence: 99%

Line Creep in Paper Peeling

Koivisto

Illa

Rosti

et al. 2010

EPJ Web of Conferences

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Abstract.We have studied experimentally the dynamics of the separation of a sheet of paper into two halves in a peeling configuration. The experimental setup consists of a peeling device, where a fracture front is driven along the plane of the paper, with a constant force. The theoretical picture is how an elastic line interacts with a random landscape of fracture toughness. We compare the results with theoretical simulations in several aspects. One recent finding concerns the autocorrelation function of the average front position. The data from the experiments produces so-called cusps or singularities in the correlation function, as predicted by the functional renormalization group theory for elastic lines. Comparisons with simulations with either a short range or a long range elastic kernel demonstrate that the latter agrees with the experimental observations, as expected.

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Acoustic Emission from Paper Fracture

Cited by 134 publications

References 31 publications

Crack roughness and avalanche precursors in the random fuse model

Crack roughness and avalanche precursors in the random fuse model

Breakdown of heterogeneous materials

Line Creep in Paper Peeling

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