Criticality in creep experiments on cellular glass

Maes, Christian; Moffaert, A. Van; Frederix, H; Strauven, H.

doi:10.1103/physrevb.57.4987

Cited by 84 publications

(90 citation statements)

References 22 publications

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“…Indeed, the distribution of energies released at any EQ is described by the power-law, P (E) ∼ E −B , where B ∼ 1.4 − 1.6 (Gutenberg and Richter, 1954). On the other hand authors have presented experimental evidence in terms of acoustic emission which shows that the scaling law P (E) ∼ E −B fits the data where B ∼ 1.5 (Diodati et al, 1991), 1.3 ± 0.1 (Petri et al, 1994), 1.5 (Maes et al, 1998), 1.5 (Canneli et al, 1993 or 1.3-1.6 (Houle and Sethna, 1996). Notice that theoretical studies also lead to similar B-exponents (Kapiris et al, 2004b and references therein).…”

Section: Evidence Of Fractional-brownian-motion-typementioning

confidence: 99%

Unfolding the procedure of characterizing recorded ultra low frequency, kHZ and MHz electromagnetic anomalies prior to the L'Aquila earthquake as pre-seismic ones - Part 2

Eftaxias¹,

Athanasopoulou²,

Balasis³

et al. 2010

Nat. Hazards Earth Syst. Sci.

147

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Abstract. Ultra low frequency-ULF (1 Hz or lower), kHz and MHz electromagnetic (EM) anomalies were recorded prior to the L'Aquila catastrophic earthquake (EQ) that occurred on 6 April 2009. The detected anomalies followed this temporal scheme. The question effortlessly arises as to whether the observed anomalies before the L'Aquila EQ were seismogenic or not. The main goal of this work is to provide some insight into this issue. More precisely, the main aims of this contribution are threefold: How can we recognize an EM observation as pre-seismic one? We aim, through a multidisciplinary analysis to provide some elements of a definition. How can we link an individual EM anomaly with a distinctive stage of the EQ preparation process? The present analysis is consistent with the hypothesis that the kHz EM anomalies were associated with the fracture of asperities that were distributed along the L'Aquila fault sustaining the system, while the MHz EM anomalies could be triggered by fractures in the highly disordered system that surrounded the backbone of asperities of the activated fault. How can we identify precursory symptoms in an individual EM precursor that indicate that the occurrence of the EQ is unavoidable? We clearly state that the detection of a MHz EM precursor does not mean that the occurrence of EQ is unavoidable; the Correspondence to: K. Eftaxias (ceftax@phys.uoa.gr) abrupt emergence of kHz EM emissions indicate the fracture of asperities. The observed ULF EM anomaly supports the hypothesis of a relationship between processes produced by increasing tectonic stresses in the Earth's crust and attendant EM interactions between the crust and ionosphere. We emphasize that we attempt to specify not only whether or not a single EM anomaly is pre-seismic in itself, but mainly whether a combination of emergent ULF, MHz and kHz EM anomalies could be characterized as pre-earthquake.

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Section: Evidence Of Fractional-brownian-motion-typementioning

confidence: 99%

Unfolding the procedure of characterizing recorded ultra low frequency, kHZ and MHz electromagnetic anomalies prior to the L'Aquila earthquake as pre-seismic ones - Part 2

Eftaxias¹,

Athanasopoulou²,

Balasis³

et al. 2010

Nat. Hazards Earth Syst. Sci.

147

View full text Add to dashboard Cite

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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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“…The statistical properties of rupture sequences are characterized by the avalanche size distribution which from the experimental point of view could be related to the acoustic emissions generated during the fracture of materials [34][35][36][37]. Figure 4 shows the avalanche size distribution for different values of γ.…”

Section: Monte Carlo Simulation Of the Failure Processmentioning

confidence: 99%

Fracture model with variable range of interaction

et al. 2002

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We introduce a fiber bundle model where the interaction among fibers is modeled by an adjustable stress-transfer function which can interpolate between the two limiting cases of load redistribution, the global and the local load sharing schemes. By varying the range of interaction several features of the model are numerically studied and a crossover from mean field to short range behavior is obtained. The properties of the two regimes and the emergence of the crossover in between are explored by numerically studying the dependence of the ultimate strength of the material on the system size, the distribution of avalanches of breakings, and of the cluster sizes of broken fibers. Finally, we analyze the moments of the cluster size distributions to accurately determine the value at which the crossover is observed..

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Criticality in creep experiments on cellular glass

Cited by 84 publications

References 22 publications

Unfolding the procedure of characterizing recorded ultra low frequency, kHZ and MHz electromagnetic anomalies prior to the L'Aquila earthquake as pre-seismic ones - Part 2

Unfolding the procedure of characterizing recorded ultra low frequency, kHZ and MHz electromagnetic anomalies prior to the L'Aquila earthquake as pre-seismic ones - Part 2

Crack roughness and avalanche precursors in the random fuse model

Fracture model with variable range of interaction

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