Microscopic Particle Crushing of Sand Subjected to High Pressure One-Dimensional Compression

Nakata, Yoshihiro; Hyodo, Masayuki; Hyde, A. F. L.; Kato, Yoshiaki; Murata, Hidekazu

doi:10.3208/sandf.41.69

Cited by 345 publications

(158 citation statements)

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“…In contrast, the fragmentation of particles under controlled conditions is used in comminution processes such as the milling of vegetal products or grinding of mineral materials. The evolution of particle size distribution and energy dissipation in such processes depend on many factors such as particle properties (shape, crushability), initial size distribution, loading history, and mobility of the grains during the crushing process [1][2][3][4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Bonded-cell model for particle fracture

et al. 2015

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Particle degradation and fracture play an important role in natural granular flows and in many applications of granular materials. We analyze the fracture properties of two-dimensional disklike particles modeled as aggregates of rigid cells bonded along their sides by a cohesive Mohr-Coulomb law and simulated by the contact dynamics method. We show that the compressive strength scales with tensile strength between cells but depends also on the friction coefficient and a parameter describing cell shape distribution. The statistical scatter of compressive strength is well described by the Weibull distribution function with a shape parameter varying from 6 to 10 depending on cell shape distribution. We show that this distribution may be understood in terms of percolating critical intercellular contacts. We propose a random-walk model of critical contacts that leads to particle size dependence of the compressive strength in good agreement with our simulation data.

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Section: Introductionmentioning

confidence: 99%

Bonded-cell model for particle fracture

et al. 2015

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“…Laboratory studies have shown that applying similar stresses to a real sand causes extensive particle crushing, even for strong particles, e.g., silica sands (Nakata et al, 2001 [4]). The omission of a suitable crushing model from any DEM simulation of a sand is questionable if similarly high stresses are attained.…”

Section: Resultsmentioning

confidence: 99%

Challenges of simulating undrained tests using the constant volume method in DEM

Hanley

Huang

O’Sullivan

et al. 2013

AIP Conference Proceedings

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Abstract. Liquefaction during earthquakes can cause significant infrastructural damage and loss of life, motivating a fundamental study of undrained sand response using discrete element modeling (DEM). Two methods are widely used in DEM for simulating the undrained response of soil. One approach is to numerically couple the DEM code with a fluid model. Alternatively, if the soil is fully saturated and water is assumed to be incompressible, the volume of the sample can be held constant to simulate an undrained test. The latter has the advantage of being computationally straightforward, but the assumption of a constant volume can cause some issues which are discussed in this paper. Depending on the contact model selected, extremely high deviatoric stresses and pore water pressures can be generated for dense samples using the constant volume approach which are not observed in corresponding laboratory tests. Furthermore the results of these constant volume simulations tend to be sensitive to the strain rate selected. The evolution of particle size distribution caused by grain crushing is also ignored in most undrained simulations. For these reasons, authors often restrict the extent of the data presented to physically-realistic ranges and report results in nondimensional terms, e.g., using stress ratios (q/p') or stresses normalized by the initial confining pressure. This paper aims to highlight some of these issues, explore whether the constant volume approach is appropriate and make recommendations for future analysis of undrained soil behavior using DEM.

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“…It is demonstrated that the reference crushing stress is dependent on the distributed range of grain size. This phenomenon had been proved using a series of onedimensional compression tests by Nakata et al (2001a) [28].…”

Section: Influence Of Distributed Range Of Grain Sizementioning

confidence: 99%

Numerical Investigation on the Reference Crushing Stress of Granular Materials in Triaxial Compression Test

Yamamoto

2015

Period. Polytech. Civil Eng.

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KeywordsConstitutive model · particle crushing · single particle strength · particle diameter · relative density Yang WuDepartment of Civil Engineering, Yamaguchi University, Ube 7558611, Japan e-mail: yangwuuu0226@hotmail.com Haruyuki YamamotoGraduate School for International Development and Cooperation, Hiroshima University, Higashi-Hiroshima 7398529, Japan e-mail: a040564@hiroshima-u.ac.jp IntroductionEstimation of crushing stress is vital to comprehend the crushing mechanism of granular material. In geotechnical practice, it is significantly important to consider and decide the crushing stress of granular material when we estimate the bearing capacity of pile penetrating into crushable sand and analyze the stability of soil at bottom of the dam. For an individual particle, tensile strength is a very useful index because that it expresses the average stress or force on a single grain. It can be measured from a single particle crushing test. The volume of a grain is assumed to be spherical for simplification. Dexter and Kroesbergen (1985) [1] had compared a numbered of methods to calculate the tensile stress of granular materials. Many researchers (Jaeger (1967), McDowell et al. (1996), McDowell and Bolton (1998), Nakata et al. (2001b), McDowell and Debono (2013)) [2-6] had rewritten the equation by revising the expression of grain diameter. Essentially, the tensile stress expresses the strength of a grain from a micro viewpoint. In most cases, the crushing strength for a specimen of assembled grains but not an individual particle is in urgent demand for laboratorial tests and field practice. However, very limited studies have been conducted on the crushing stress of granular material in triaxial compression tests.The influence of such a kind of strength index on the mechanical behaviour of granular materials needs further examination. Harbin (1985) [7] had defined a relative breakage index containing the breakage reference stress. However, this breakage reference stress did not focus on its relevant form of granular material in triaxial tests from a macro viewpoint but was directly linked to the mechanical behaviour under specific loading. Nakata et al. (1999) [8] had only correlated the maximum value of mean normal stress with breakage factor. The constitutive model proposed by Yao et al. (2008) which adopts a reference crushing stress provides an option to solve this difficulty [9]. It is noted that no positive dilatancy of granular material in triaxial test occurs once the confining pressure exceeds a certain stress level. That stress is defined as the reference crushing stress. This constitutive model has been employed to evaluate the crushing

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Microscopic Particle Crushing of Sand Subjected to High Pressure One-Dimensional Compression

Cited by 345 publications

References 13 publications

Bonded-cell model for particle fracture

Bonded-cell model for particle fracture

Challenges of simulating undrained tests using the constant volume method in DEM

Numerical Investigation on the Reference Crushing Stress of Granular Materials in Triaxial Compression Test

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