Critical Sensitivity in Driven Nonlinear Threshold Systems

Zhang, Xiaohui; Xu, Xiaoqiang; Wang, Haiyin; Xia, Mingji; Fang, Ke; Bai, Yilong

doi:10.1007/978-3-0348-7873-9_8

Cited by 8 publications

(5 citation statements)

References 16 publications

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“…XIA et al, (2002) presented critical sensitivity to describe the damage evolved in materials. The numerical simulation of the damage and fracture process for brittle inhomogeneous material also shows a peak of sensitivity prior to the catastrophic rupture which is similar to the variation of LURR (ZHANG et al, 2004). According to Beeler and Lockner's result the minimum typical duration of earthquake nucleation on the San Andreas fault system is about 1 year (BEELER and LOCKNER, 2003) which is in a good agreement with our results.…”

Section: Resultssupporting

confidence: 90%

Acoustic Emission Experiments of Rock Failure Under Load Simulating the Hypocenter Condition

Zhang

Yin

Liang

et al.

Pageoph Topical Volumes

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A series of acoustic emission (AE) experiments of rock failure have been conducted under cyclic load in tri-axial stress tests. To simulate the hypocenter condition the specimens are loaded by the combined action of a constant stress, intended to simulate the tectonic loading, and a small sinusoidal disturbance stress, analogous to the Earth tide induced by the Sun and the Moon. Each acoustic emission signal can indicate the occurrence time, location and relative magnitude of the damage (micro-crack) in the specimen. The experimental results verified some precursors such as LURR (Load/Unload Response Ratio) and AER (Accelerating Energy Release) before macro-fracture of the samples. A new parameter, the correlation between the AE and the load, has been proposed to describe the loading history. On the eve of some strong earthquakes the correlation between the Benioff strain and the Coulomb failure stress (CFS) decreases, similar to the variation of LURR prior to strong earthquakes.

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Section: Resultssupporting

confidence: 90%

Acoustic Emission Experiments of Rock Failure Under Load Simulating the Hypocenter Condition

Zhang

Yin

Liang

et al.

Pageoph Topical Volumes

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“…Moreover, the experimental results also show that the rock might become sensitive to external loading prior to catastrophic failure, i.e. critical sensitivity [7,8]. This gives an experimental validation to the concept of critical sensitivity.…”

Section: Introductionmentioning

confidence: 58%

“…For the study of damage and failure of rock, a statistical model of heterogeneous elastic-brittle medium with mean field approximation was used [7,8]. It is assumed that such a sample consists of a number of linear elastic but brittle units, namely all units have the same elastic modulus E 0 but different breaking stress threshold r Ã c .…”

Section: Brief Review Of Mean Field (Mf) Approximationmentioning

confidence: 99%

Damage evaluation and damage localization of rock

Xia

et al. 2004

Theoretical and Applied Fracture Mechanics

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Knowledge of damage accumulation and corresponding failure evolution are prerequisite for effective maintenance of civil engineering so as to avoid disaster. Based on statistical mesoscopic damage mechanics, it was revealed that there are three stages in the process of deformation, damage and failure of multiscale heterogeneous elastic-brittle medium. These are uniformly distributed damage, localized damage and catastrophic failure. In order to identify the transitions from scattering damage to macroscopically localized one, a condition for damage localization was given. The experiments of rock under uniaxial compression with the aid of observations of acoustic emission and speckle correlation do support the concept of localization. This provides a potential approach to properly evaluate damage accumulation in practice. In addition, it is found in the experiments that catastrophic failure displays critical sensitivity. This gives a helpful clue to the prediction of catastrophic failure.

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“…In light of the driven nonlinear threshold model [26], once an element reaches its stress threshold r c (strain e c ), it is assumed to be damaged, Accordingly, the continuum damage D can be defined and expressed as…”

Section: Rupture Prediction Based On Global Mean-field Approximationmentioning

confidence: 99%

“…The objective of the present work is to elaborate the dependence of catastrophic transition of specimen on localized zone. Firstly, the results are outlined based on global mean-field approximation [23][24][25] and the driven nonlinear threshold model [26]. Then, an instrumented observation of spatiotemporal evolution of surface strain and catastrophic rupture of rock specimens under uniaxial compression is reported.…”

Section: Introductionmentioning

confidence: 99%

Relationship between strain localization and catastrophic rupture

Hao¹,

Wang²,

Xia³

et al. 2007

Theoretical and Applied Fracture Mechanics

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In order to explore a prior warning to catastrophic rupture of heterogeneous media, like rocks, the present study investigates the relationship between surface strain localization and catastrophic rupture. Instrumented observations on the evolution of surface strain field and the catastrophic rupture of a rock under uniaxial compression were carried out. It is found that the evolution of surface strain field displays two phases: at the early stage, the strain field keeps nearly uniform with weak fluctuations increasing slowly; but at the stage prior to catastrophic rupture, a certain accelerating localization develops and a localized zone emerges. Based on the measurements, an analysis was performed with local mean-field approximation. More importantly, it is found that the scale of localized zone is closely related to the catastrophic rupture strain and the rupture strain can be calculated in accord with the local-mean-field model satisfactorily. This provides a possible clue to the forecast of catastrophic rupture.

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Critical Sensitivity in Driven Nonlinear Threshold Systems

Cited by 8 publications

References 16 publications

Acoustic Emission Experiments of Rock Failure Under Load Simulating the Hypocenter Condition

Acoustic Emission Experiments of Rock Failure Under Load Simulating the Hypocenter Condition

Damage evaluation and damage localization of rock

Relationship between strain localization and catastrophic rupture

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