A random neighbour model for yielding

Dalton, Fergal; Petri, Alberto; Pontuale, Giorgio

doi:10.1088/1742-5468/2010/03/p03011

Cited by 6 publications

(13 citation statements)

References 43 publications

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“…We thus conclude that the general behavior of the FBM is not critically dependent on the form of the fiber threshold distribution function. A similar observation was made by Dalton et al [] leading the authors to the conclusion that the principal feature of load‐redistribution affects the process more than particular input parameters.…”

Section: Annealed Fiber Bundle Modelsupporting

confidence: 77%

Shear‐induced force fluctuations and acoustic emissions in granular material

Michlmayr

Cohen

2013

JGR Solid Earth

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[1] We conducted a series of strain-controlled experiments to study the characteristics of a shear zone forming in dense flow of confined dry granular media. The primary objective was to link force fluctuations due to jamming and force network reformation with episodic release of elastic energy as passively monitored by acoustic emission sensors. Under constant deformation rate, the shear stress exhibits a characteristic sawtooth behavior reflecting the strong influence of micromechanical processes on the macroscopic stress-strain behavior. Measured shear stress jumps were highly correlated with low-frequency (< 20 kHz) acoustic emission events. High-frequency (30 kHz-80 kHz) acoustic signals that were measured with different sensors appear to be directly linked to continual grain-scale interactions (e.g., friction, rolling). A conceptual mechanical fiber bundle model (FBM) was used to represent dynamics at the shear zone of large granular assemblies. The model was capable of reproducing the dynamics of stress jumps and associated elastic energy release events. The combination of acoustic emission (AE) measurements and FBM framework offers new insights into the behavior of shear failure and enhances capabilities for resolving grain-scale mechanical processes and for predicting rapid mass movement such as shallow landslides and debris flows.

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Section: Annealed Fiber Bundle Modelsupporting

confidence: 77%

Shear‐induced force fluctuations and acoustic emissions in granular material

Michlmayr

Cohen

2013

JGR Solid Earth

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“…[15], where also a stochastic load-redistribution model is used. Here, r c bundle remains finite, even if the failing load is transferred only to a small, fixed number (n = 1,2,. .…”

Section: Discussionmentioning

confidence: 99%

“…[15] that at breakdown, the surviving fibers have a broad distribution of stresses, with a pronounced exponential tail. It remains to be investigated whether our approach can be adapted to correctly analyze the behavior of fiber-bundle models with a strength-threshold distribution that is not truncated.…”

Section: Discussionmentioning

confidence: 99%

“…Due to the complex interaction between failures and the subsequent redistribution of local stresses, the development of adequate statistical models for fracture propagation is an extremely hard and challenging undertaking. The probably most important class of approaches to the study of fracture processes is that of fiber-bundle models (FBM's) [5][6][7][8][9][10][11][12][13][14][15]. Despite their simplicity, FBM's are able to describe the main processes that can lead to a propagation of fractures and eventually to a complete breakdown of real heterogeneous materials.…”

Section: Introductionmentioning

confidence: 99%

“…The only other model, as far as we are aware of, that also uses a stochastic (rather than a spatially correlated) stress redistribution is that of Dalton et al [15], where it is assumed that the load of a failing fiber is transferred to a fixed number (n = 1,2,. . .)…”

Section: Introductionmentioning

confidence: 99%

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Breakdown of fiber bundles with stochastic load-redistribution

Lehmann

Bernasconi

2010

Chemical Physics

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We study fracture processes within a stochastic fiber-bundle model where it is assumed that after the failure of a fiber, each intact fiber obtains a random fraction of the failing load. Within a Markov approximation, the breakdown properties of this model can be reduced to the solution of an integral equation. As examples we consider two different versions of this model that both can interpolate between global and local load redistribution. For the strength thresholds of the individual fibers, we consider a Weibull distribution and a uniform distribution, both truncated below a given initial stress. The breakdown behavior of our models is compared with corresponding results of other fiber-bundle models.Comment: 10 pages, 7 figure

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Mechanisms for acoustic emissions generation during granular shearing

Michlmayr

2014

Granular Matter

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Shear deformation of granular media leads to continual restructuring of particle contact network and mechanical interactions. These changes to the mechanical state include jamming of grains, collisions, and frictional slip of particles-all of which present abrupt perturbations of internal forces and release of strain energy. Such energy release events typically result in the generation of elastic waves in the kHz frequency range, termed acoustic emissions (AE). The close association between grain-scale mechanics and AE generation motivated the use of AE as surrogate observations to assess the mechanical state of complex materials and granular flows. The study characterizes AE generation mechanisms stemming from grain-scale mechanical interactions. Basic mechanisms are considered, including frictional slip between particles, and mechanical excitation of particle configurations during force network restructuring events. The intrinsic frequencies and energy content of generated AEs bear the signature of source mechanisms and of structural features of the grain network. Acoustic measurements in simple shear experiments of glass beads reveal distinct characteristics of AE associated with different source mechanisms. These findings offer new capabilities for noninvasive interrogation of micromechancial interactions and linkage to a stochastic model of shear zone mechanics. Certain statistical features of restructuring events and associated energy release during shearing were predicted with a conceptual fiber-bundle model (FBM). In the FBM the collective behavior of a large number of basic mechanical elements (representing e.g. grain contacts), termed fibers, reproduces the reaction of disordered materials to progressive loading.

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A random neighbour model for yielding

Cited by 6 publications

References 43 publications

Shear‐induced force fluctuations and acoustic emissions in granular material

Shear‐induced force fluctuations and acoustic emissions in granular material

Breakdown of fiber bundles with stochastic load-redistribution

Mechanisms for acoustic emissions generation during granular shearing

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