Sample-Specific Behavior in Failure Models of Disordered Media

夏蒙棼,; Zq, Song; Jb, Xu; Kh, Zhao; 白以龙,

doi:10.1088/0253-6102/25/1/49

Cited by 21 publications

(15 citation statements)

References 5 publications

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“…Catastrophic rupture can be described as the critical state, where an infinitesimal increment of the external controlling variable will result in a finite increment of the accumulation but an infinite increase in its response. In essence, the evolution of the macroscopic response depends on the micro-physical properties and microdamage process of the sample, which induces the sample-specificity of catastrophic rupture [50,51]. Generally, no testing machine is completely stiff.…”

Section: Discussionmentioning

confidence: 99%

Power-law singularity as a possible catastrophe warning observed in rock experiments

Hao

Feng

Ming-Fu

et al. 2013

International Journal of Rock Mechanics and Mining Sciences

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a b s t r a c tThe question which type of signals can be determinately related to catastrophic rupture in heterogeneous brittle media still remains open. Here we report a specific precursor of catastrophic rupture, i.e. a power-law singularity of responses, based on rock experiments. Our experimental observations show that the singularity with power exponent À b, where b¼0.5170.10 (mean 7 s.d.), appears ahead of catastrophic rupture in some rocks, and the singularity does not appear at all for gradual failure. It is indicated that the power-law singularity can emerge well only close to catastrophic rupture and thus it could serve as a specific warning for catastrophic rupture. To address the potential forewarning of imminent catastrophic rupture, a fitting process based on the data before catastrophic rupture was developed to determine the two unknowns related to the occurrence, catastrophe point U F and the power exponent À b u . It is demonstrated that the power-law singularity appears only in the vicinity of catastrophe, and that the power-law singularity does not occur for gradual failure.

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Section: Discussionmentioning

confidence: 99%

Power-law singularity as a possible catastrophe warning observed in rock experiments

Hao

Feng

Ming-Fu

et al. 2013

International Journal of Rock Mechanics and Mining Sciences

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“…In comparison with earthquakes, there are two similar features (BAI et al, 1994a,b;XIA et al, 1996aXIA et al, ,b, 1997KE et al, 1998): 1. Evolution-induced catastrophe (EIC).…”

Section: Introductionmentioning

confidence: 94%

Evolution-induced Catastrophe and its Predictability

魏宇杰¹,

夏蒙棼²,

柯孚久³

et al. 2000

Pure appl. geophys.

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Abstract-Both earthquake prediction and failure prediction of disordered brittle media are difficult and complicated problems and they might have something in common. In order to search for clues for earthquake prediction, the common features of failure in a simple nonlinear dynamical model resembling disordered brittle media are examined. It is found that the failure manifests evolutioninduced catastrophe (EIC), i.e., the abrupt transition from globally stable (GS) accumulation of damage to catastrophic failure. A distinct feature is the significant uncertainty of catastrophe, called sample-specificity. Consequently, it is impossible to make a deterministic prediction macroscopically. This is similar to the question of predictability of earthquakes. However, our model shows that strong stress fluctuations may be an immediate precursor of catastrophic failure statistically. This might provide clues for earthquake forecasting.

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“…Numerical simulations were performed with a two-dimensional network model [10,11]. The network consists of straight bars of the same length and the same elastic modulus but different tensile strength.…”

Section: Characteristics Of Stress Fluctuation and Effects Of Stress mentioning

confidence: 99%