An experimental test of the critical behaviour of fracture precursors

Guarino, Alessio; Garcimartín, Ángel; Ciliberto, S.

doi:10.1007/s100510050521

Cited by 186 publications

(219 citation statements)

References 35 publications

(34 reference statements)

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“…The so-called steady state viscoplastic deformation is, in fact, shown to occur in bursts of relaxation following a power law distribution of energy and time separation. Such power law behavior is suggestive of a critical dynamics of dislocations, similar to those argued for microfracturing [Petri et al, 1994;Guarino et al, 1998]. …”

Section: Introductionsupporting

confidence: 59%

“…In the present paper, we propose to embed these earlier results in the more general framework of critical systems. Such a critical framework has been recently proposed to describe brittle fracturing [e.g.,Hermann and Roux, 1990;Andersen et al, 1997], fromthe laboratory sample scale [Petri et al, 1994;Guarino et al, 1998] to the earth crust scale [Main, 1996].…”

Section: Introductionmentioning

confidence: 99%

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Statistical analysis of dislocation dynamics during viscoplastic deformation from acoustic emission

Weiss¹,

Lahaie²,

Grasso³

2000

J. Geophys. Res.

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Abstract. We present experimental data of acoustic emission (AE) induced by dislocation motion during "pure" viscoplastic (ductile) deformation of singlecrystals and polycrystals of ice which provide opportunity to revisit collective dislocation dynamics as a critical phenomenon, as recently proposed for brittle fracturing. The data were recorded during compression and torsion creep experiments. AE statistics of power law type were systematically obtained under different experimental conditions. Among the possible candidates for such a system with threshold dynamics exhibiting power law statistics, critical points, disordered first-order transitions, and self-organized criticality should be considered. The revisitation of dislocation dynamics as a critical phenomenon allows rationalization of collective effects as well as of the heterogeneity and complexity of viscoplastic deformation of crystalline materials. Such critical behavior implies that dislocation avalanches and strain localizations are unpredictible, in a deterministic sense, in space, time, and energy domains and that large plastic instabilities account for most of the viscoplastic deformation.

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Section: Introductionsupporting

confidence: 59%

Section: Introductionmentioning

confidence: 99%

Statistical analysis of dislocation dynamics during viscoplastic deformation from acoustic emission

Weiss¹,

Lahaie²,

Grasso³

2000

J. Geophys. Res.

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“…In analogy to the study of critical phase transitions in statistical physics, it has been recently argued that the fracture of heterogeneous materials could be viewed as a critical phenomenon (Herrmann and Roux, 1990;Vanneste and Sornette, 1992;Lamaignere et al, 1996;Andersen et al, 1997;Sornette, 2000), either at laboratory scale (Petri et al, 1994;Guarino et al, 1998Guarino et al, , 2002 or at geophysical scales (Chelidze, 1982;Allegre et al, 1982;Sornette and Sornette, 1990;Diodati et al, 1991;Sornette and Sammis, 1995;Saleur et al, 1996a,b;Main, 1996;Bowman et al, 1998;Kossobokov et al, 1999). This result comes from different observations including power law scaling in space (fractals), time and energy, long-range correlations, or the divergence of the rate of energy dissipation near the critical point.…”

Section: Introductionmentioning

confidence: 99%

Evolving towards a critical point: A possible electromagnetic way in which the critical regime is reached as the rupture approaches

Kapiris

Eftaxias

Νομικός

et al. 2003

Nonlin. Processes Geophys.

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Abstract. In analogy to the study of critical phase transitions in statistical physics, it has been argued recently that the fracture of heterogeneous materials could be viewed as a critical phenomenon, either at laboratory or at geophysical scales. If the picture of the development of the fracture is correct one may guess that the precursors may reveal the critical approach of the main-shock. When a heterogeneous material is stretched, its evolution towards breaking is characterized by the appearance of microcracks before the final break-up. Microcracks produce both acoustic and electromagnetic (EM) emission in the frequency range from VLF to VHF. The microcracks and the associated acoustic and EM activities constitute the so-called precursors of general fracture. These precursors are detectable not only at laboratory but also at geophysical scales. VLF and VHF acoustic and EM emissions have been reported resulting from volcanic and seismic activities in various geologically distinct regions of the world. In the present work we attempt to establish the hypothesis that the evolution of the Earth's crust towards the critical point takes place not only in a mechanical but also in an electromagnetic sense. In other words, we focus on the possible electromagnetic criticality, which is reached while the catastrophic rupture in the Earth's crust approaches. Our main tool is the monitoring of micro-fractures that occur before the final breakup, by recording their radioelectromagnetic emissions. We show that the spectral power law analysis of the electromagnetic precursors reveals distinguishing signatures of underlying critical dynamics, such as: (i) the emergence of memory effects; (ii) the decrease with time of the anti-persistence behaviour; (iii) the presence of persistence properties in the tail of the sequence of the precursors; and (iv) the acceleration of the precursory electromagnetic energy release. Moreover, the statistical analysis of the amplitudes of the electromagnetic fluctuations reveals the breaking of the symmetry as the theory predicts. Finally, we try to answer the question: how universal the observed Correspondence to: K. A. Eftaxias (ceftax@phys.uoa.gr) electromagnetic critical behaviour of the failing system is?

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“…Many researchers investigated the elastic energy release during the failure process of materials [17][18][19][20][21][22][23][24]. They all observed that the energy release accelerated following a power law.…”

Section: Introductionmentioning

confidence: 99%

Identification of a Critical Time with Acoustic Emission Monitoring during Static Fatigue Tests on Ceramic Matrix Composites: Towards Lifetime Prediction

et al. 2016

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Non-oxide fiber-reinforced ceramic-matrix composites are promising candidates for some aeronautic applications that require good thermomechanical behavior over long periods of time. This study focuses on the behavior of a SiC f /[Si-B-C] composite with a self-healing matrix at intermediate temperature under air. Static fatigue experiments were performed below 600 ¥ C and a lifetime diagram is presented. Damage is monitored both by strain measurement and acoustic emission during the static fatigue experiments. Two methods of real-time analysis of associated energy release have been developed. They allow for the identification of a characteristic time that was found to be close to 55% of the measured rupture time. This critical time reflects a critical local energy release assessed by the applicability of the Benioff law. This critical aspect is linked to a damage phase where slow crack growth in fibers is prevailing leading to ultimate fracture of the composite.

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An experimental test of the critical behaviour of fracture precursors

Cited by 186 publications

References 35 publications

Statistical analysis of dislocation dynamics during viscoplastic deformation from acoustic emission

Statistical analysis of dislocation dynamics during viscoplastic deformation from acoustic emission

Evolving towards a critical point: A possible electromagnetic way in which the critical regime is reached as the rupture approaches

Identification of a Critical Time with Acoustic Emission Monitoring during Static Fatigue Tests on Ceramic Matrix Composites: Towards Lifetime Prediction

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