Breakage mechanics—Part I: Theory

Einav, Itai

doi:10.1016/j.jmps.2006.11.003

Cited by 752 publications

(446 citation statements)

References 26 publications

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“…The minimum observed value of β is taken to be the exponent of the ultimate cumulative grain size distribution (β u = 0.64). The description of breakage through only one scalar parameter β, conceptually similar to Einav's [8] assumption of fractional independency, is equivalent to the use of a single internal variable in elastic-plastic models for granular media with crushable grains.…”

Section: Analysis Of Resultsmentioning

confidence: 99%

“…The description of breakage through only one scalar parameter β, is conceptually similar to Einav's [8] assumption of fractional independency.…”

Section: Discussionmentioning

confidence: 99%

“…Einav [8] suggested the original definition of the relative breakage by [13] should be adjusted to weigh the relative proximity of the current grain size cumulative distribution from the initial cumulative distribution and an ultimate cumulative distribution from zero to one. Following this approach, relative breakage can be obtained by computing the areas below the current, initial, and ultimate cumulative grain size distributions by integration over the logarithm of d (after [8]):…”

Section: Dependence Of Breakage On Work Inputmentioning

confidence: 99%

“…Following this approach, relative breakage can be obtained by computing the areas below the current, initial, and ultimate cumulative grain size distributions by integration over the logarithm of d (after [8]):…”

Section: Dependence Of Breakage On Work Inputmentioning

confidence: 99%

“…From the point of view of constitutive modelling, the question to be addressed is how microscopic degradation phenomena, such as grain crushing, affect the macroscopic properties of a granular aggregate, ideally deducing macroscopic constitutive equations from micromechanical consideration of some underlying microscopic process [25]. Quite recently, the idea of a fractal evolution of particle size has been adopted introducing a breakage parameter into energy dissipation assumptions of a crushable soil treated as a continuum [8], and through links between particle crushing and critical states in soils [33,43].…”

Section: Introductionmentioning

confidence: 99%

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Breakage of an artificial crushable material under loading

2013

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The mechanical behaviour of granular materials depends on their grading. Crushing of particles under compression or shear modifies the grain size distribution, with a tendency for the percentage of fine material to increase. It follows that the frictional properties of the material and the critical states are modified as a consequence of the changes in grain size distribution and the available range of packing densities. This paper illustrates an extended experimental investigation of the evolution of the grading of an artificial granular material, consisting of crushed expanded clay pellets under different loading conditions. The changes of grading of the material after isotropic, one-dimensional and constant mean effective stress triaxial compression were described using a single parameter based on the ratio of the areas under the current and an ultimate cumulative particle size distribution, which were both assumed to be consistent with self similar grading with varying fractal dimension. Relative breakage was related to the total work input for unit of volume. For poorly graded samples, the observed maximum rate of breakage is practically independent of initial uniformity. Further

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Section: Analysis Of Resultsmentioning

confidence: 99%

“…The description of breakage through only one scalar parameter β, is conceptually similar to Einav's [8] assumption of fractional independency.…”

Section: Discussionmentioning

confidence: 99%

Section: Dependence Of Breakage On Work Inputmentioning

confidence: 99%

Section: Dependence Of Breakage On Work Inputmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Breakage of an artificial crushable material under loading

2013

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Path dependence of the potential for compaction banding: Theoretical predictions based on a plasticity model for porous rocks

Buscarnera

Laverack

2014

JGR Solid Earth

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The paper presents a theoretical investigation of compaction banding based on a plasticity model for high-porosity rocks. The selected model is featured by a nonassociated flow rule and two internal variables simulating the competition between softening and hardening in the brittle-ductile transition. The parameters have been calibrated for two extensively studied rocks that exhibited localized compaction under laboratory conditions. In particular, the constants that control the compaction banding domain are defined by matching the stresses at which localized compaction was found in the experiments. The resulting parameters are used to simulate the stress-strain response for two loading modes (i.e., triaxial compression and radially constrained deformation), thus exploring the role of stress paths and kinematic constraints on the evolution of the compaction banding potential. The analyses suggest that the loading paths able to mobilize the plastic resources of the rock alter the potential for compaction banding through irreversible effects. A notable example is oedometric compression, for which the potential to generate localized compaction tends to vanish during the initial stages of inelastic loading. These predictions suggest that constraints to the mode of deformation can hinder the occurrence of compaction bands in the field. Moreover, they suggest that the interplay between kinematic constraints and evolution of the compaction banding potential can be used for experimental characterization purposes. As a consequence, these results emphasize the importance of complementing stress-controlled experiments with other tests able to explore different stress paths, thus providing additional data for an accurate characterization of rheological properties and strain-localization characteristics.

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Visco‐poroelastic damage model for brittle‐ductile failure of porous rocks

2015

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The coupling between damage accumulation, dilation, and compaction during loading of sandstones is responsible for different structural features such as localized deformation bands and homogeneous inelastic deformation. We distinguish and quantify the role of each deformation mechanism using new mathematical model and its numerical implementation. Formulation includes three different deformation regimes: (I) quasi-elastic deformation characterized by material strengthening and compaction; (II) cataclastic flow characterized by damage increase and compaction; and (III) brittle failure characterized by damage increase, dilation, and shear localization. Using a three-dimensional numerical model, we simulate the deformation behavior of cylindrical porous Berea sandstone samples under different confining pressures. The obtained stress, strain, porosity changes and macroscopic deformation features well reproduce the laboratory results.

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Breakage mechanics—Part I: Theory

Cited by 752 publications

References 26 publications

Breakage of an artificial crushable material under loading

Breakage of an artificial crushable material under loading

Path dependence of the potential for compaction banding: Theoretical predictions based on a plasticity model for porous rocks

Visco‐poroelastic damage model for brittle‐ductile failure of porous rocks

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