Variation of Elastic Energy Shows Reliable Signal of Upcoming Catastrophic Failure

Pradhan, Srutarshi; Kjellstadli, Jonas T.; Hansen, Alex

doi:10.3389/fphy.2019.00106

Cited by 14 publications

(15 citation statements)

References 16 publications

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“…Another interesting issue, namely the scalability of the maximum load, maximum absorbed elastic energy with the horizontal size of samples and a relation between the accumulated elastic and kinetic energies and their eventual changes in time (possible rupture prediction) calls for an advanced analysis within the FBM technique. Particularly interesting is a verification of the recently reported evidence of precursor-like signals related to a rate of change of elastic energy observed in the Equal-Load-Sharing fibre Bundle Model [21]. This issue will be analysed elsewhere.…”

Section: Discrete Element Methods and Fibre Bundle Modelmentioning

confidence: 73%

Earthquake physics beyond the linear fracture mechanics: a discrete approach

Dębski

Klejment

2021

Phil. Trans. R. Soc. A.

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Fast development of seismology and related disciplines like seismic prospecting observed in recent decades has its roots in efficient applications of ideas of continuum media mechanics to describe seismic wave propagation through the Earth. Using the same approach enhanced by fracture mechanics methods to describe physical processes leading to nucleation, development and finally arresting of earthquake ruptures has also advanced our understanding of earthquake physics. However, in this case, we can talk only about a partial success since many aspects of earthquake processes are still very poorly understood if at all. We argue that to progress with seismic source analysis we need to turn our attention to a complementary approach, namely a ‘discrete’ one. We demonstrate here that taking into account discreteness of solid materials we are able not only to incorporate classical ‘continuum’ solutions but also reveal many details of fracture processes whose analysis is beyond the classical fracture mechanics. In this paper, we analyse tensional processes encountered in rock mechanics laboratory experiments, mining seismology and sometimes in realistic inter-plate seismic episodes. The ‘discreteness’ principle is implemented through the discrete element method—the numerical method entirely based on the discrete representation of the medium. Special attention is paid to energy accumulation and transformation during loading and relaxation phases of fragmentation processes. This article is part of the theme issue ‘Fracture dynamics of solid materials: from particles to the globe’.

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Section: Discrete Element Methods and Fibre Bundle Modelmentioning

confidence: 73%

Earthquake physics beyond the linear fracture mechanics: a discrete approach

Dębski

Klejment

2021

Phil. Trans. R. Soc. A.

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“…For both, FBM and experiments, the AE energy rate increased toward failure and the energy distribution exponent τ was higher for the fast loading rates (Figure 10). Also, Pradhan et al [69] claim that the elastic energy exhibits a peak prior to failure that can be used to predict the failure point of FBM. The elastic energy is, however, difficult to quantify for the snow experiments since the displacement measured includes elastic as well as viscous deformation.…”

Section: Load-controlled Experiments and Concurrent Acoustic Emissionsmentioning

confidence: 99%

Studying Snow Failure With Fiber Bundle Models

Capelli¹,

Reiweger

Schweizer³

2020

Front. Phys.

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Snow is a highly porous material with properties that may strongly differ depending on the environmental conditions. On slopes, the layered snowpack may fail and avalanches occur. Hence, knowing how snow deforms and fails is essential for understanding and modeling snow avalanche release and flow. The response of snow to imposed load or deformation and the failure behavior depends on the rate of the applied load or of displacement and follows from the complex, foam like, microstructure of snow and the properties of ice. The mechanical response and failure of snow can well be captured with fiber bundle models (FBM). We review the use of FBMs for studying snow failure. In particular, we show how FBMs have been used for studying the micromechanical processes, such as ice sintering and viscous deformation, to reproduce the results of snow failure experiments. Moreover, FBMs can reproduce signatures of acoustic emissions (AE) preceding snow failure, ease the AE interpretation, and shed light on the underlying progressive failure process.

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“…Forecasting failure is a long standing problem which has an utmost importance to mitigate the consequences of the collapse of engineering constructions and of natural catastrophes like landslides, earthquakes, volcanic eruptions, rock and snow avalanches [1][2][3][4][5][6][7][8] . Fracture processes of heterogeneous materials occurring under constant or slowly varying external loads play a decisive role for the emergence of catastrophic failures.…”

Section: Record Statistics Of Bursts Signals the Onset Of Acceleratiomentioning

confidence: 99%

Record statistics of bursts signals the onset of acceleration towards failure

Kádár

Pál

Kun

2020

Sci Rep

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Forecasting the imminent catastrophic failure has a high importance for a large variety of systems from the collapse of engineering constructions, through the emergence of landslides and earthquakes, to volcanic eruptions. Failure forecast methods predict the lifetime of the system based on the time-to-failure power law of observables describing the final acceleration towards failure. We show that the statistics of records of the event series of breaking bursts, accompanying the failure process, provides a powerful tool to detect the onset of acceleration, as an early warning of the impending catastrophe. We focus on the fracture of heterogeneous materials using a fiber bundle model, which exhibits transitions between perfectly brittle, quasi-brittle, and ductile behaviors as the amount of disorder is increased. Analyzing the lifetime of record size bursts, we demonstrate that the acceleration starts at a characteristic record rank, below which record breaking slows down due to the dominance of disorder in fracturing, while above it stress redistribution gives rise to an enhanced triggering of bursts and acceleration of the dynamics. The emergence of this signal depends on the degree of disorder making both highly brittle fracture of low disorder materials, and ductile fracture of strongly disordered ones, unpredictable.

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Variation of Elastic Energy Shows Reliable Signal of Upcoming Catastrophic Failure

Cited by 14 publications

References 16 publications

Earthquake physics beyond the linear fracture mechanics: a discrete approach

Earthquake physics beyond the linear fracture mechanics: a discrete approach

Studying Snow Failure With Fiber Bundle Models

Record statistics of bursts signals the onset of acceleration towards failure

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