Discussion: A probabilistic approach to sand particle …

2020-1-22 · The asperity fracture survival probability could be much less than 0·9, and Bf could still be much less than 0·1. Furthermore, the assumed induced characteristic ten- ... degree of particle crushing can be related to a hardening parameter for the soil such as the size of the yield surface. Indeed, the authors are pleased to note that the ...

Fractal crushing of solid particles | SpringerLink

2016-6-30 · Fractal theory, which employs statistical concepts in order to explain particle crushing, may provide a solution to this problem. The particle size distributions are introduced to determine the fractal dimension. The relationship among the particle size, the crushing strength, crushing energy and the probability of survival of the particles are ...

A new probabilistic approach for predicting particle …

2014-8-1 · The crushing probability of particles is found to be macroscopically affected by stress level and particle size distribution curve, and microscopically related to the evolutions of …

A new probabilistic approach for predicting particle …

2014-8-1 · Simulation data of the probability density functions (pdfs) of particle-scale stress are shown in Fig. 3, Fig. 4.Herein, the tensile stress index f is proposed to depict the tensile stress condition of a particle and defined as follows: (6) f = σ t 〈 σ t 〉 where σ t is calculated from Eq. 4; 〈σ t 〉 is the average value of σ t of all the particles. ...

Effect of packing structure on mechanical properties of ...

DEM simulation of particle crushing in a triaxial test considering the

DEM simulation of particle crushing in a triaxial test …

Combining Eqs., and following the work of Hanley et al. (2015), the crushing force acting on the particle of size d can be determined as: (3) F = σ 0 U 0, 1-b s a s d d 0-3 m d 2, where U(0,1) is a random real number between 0 and 1 generatIn this study, Eq. is used to determine the maximum contact force which a single particle can sustain. Any particle will be ''instructed'' to crush

Impact crushing probability of coal particles based on …

2012-12-1 · December 2012 Guti Lixue Xuebao/Acta Mechanica Solida Sinica 33(6):631-636

a Particle survival probability of carbonate sands with and …

Download scientific diagram | a Particle survival probability of carbonate sands with and without pore filling; b Weibull strength distribution curves from publication: Single-particle crushing ...

The Consequence of Particle Crushing in Engineering …

This paper presents experimental investigation for particles breakage for natural sand. The particle breakage was induced by subjecting the sample to one dimensional compression. Grain size analyses were performed before and after induced breakage. Thereafter, the sand shear strength parameters were assessed using direct shear box tests and the coefficient of …

Impact crushing probability of coal particles based on …

The impact crushing probability of coal particles was investigated based on fractal statistical strength theory. The function relation between the impact crushing probability of coal particles and the maximum contact pressure stress was obtained by Hertz contact hypothesis, and the fractal model of the impact crushing probability was established by the impact dynamics theory.

Significance of Particle Crushing in Granular Materials

However, particle breakage factors appear to correlate very well with the total energy input into the test specimen, thus providing a single unifying parameter for all types of soil tests. Therefore, the amount of particle crushing may be predicted if the stresses and strains in the soil can be estimated, such as in a finite-element analysis.

A probabilistic approach to sand particle crushing in the …

2020-1-22 · Abstract. Single-particle crushing tests have been carried out on the component minerals of a sand and the results have been compared statistically with those obtained for individually marked particles placed in triaxial samples and then subjected to isotropic consolidation and shear tests. The single-particle crushing strength was defined for ...

A statistical investigation of particle crushing in sand

2011-8-2 · The significance of particle crushing in the stress-strain behaviour of sands has long been recognised. McDowell & Bolton (1998) have related success-fully the normal compression line of sand to fractal crushing of particles, while Cheng et al (2004) have identified the yield surface of a sand as a contour of crushing.

Strength and Surviving Probability in Grain Crushing under …

Single-grain crushing tests were carried out on limestone with nominal particle sizes of 2.5, 5, and 10 mm to investigate the effect of particle size and acidic erosion on grain strength, characteristic stress, and probability of survival. The characteristic stress at failure was calculated when the particles were broken.

Discussion: A probabilistic approach to sand particle …

2020-1-22 · The asperity fracture survival probability could be much less than 0·9, ... Unless single particle crushing can be related to macroscopic soil behaviour in a simple and practical way it will be of little interest to most geotechnical engineers. Perhaps as a first step, further clarification is needed of the relationship between a breakage ...

Quantifying the extent of crushing in granular materials: …

2011-8-2 · In addition, particle crushing reduces the mean particle size of a sample, consequently reducing its mean pore size, something that directly affects its permeability. Crushing is ... Furthermore the way in which the probability of crushing is calculated will depend on the exact breakage criterion used. Criteria commonly used in the literature

Effects of particle size on crushing and deformation …

2020-3-1 · The relationship between the characteristic stress and non-failure probability was obtained from the single-particle crushing tests. The single-particle strength was found to yield the Weibull distribution well with the Weibull modulus of 3.24, which was independent of the nominal diameter in this study.

IMPACT CRUSHING PROBABILITY OF COAL PARTICLES ...

IMPACT CRUSHING PROBABILITY OF COAL PARTICLES BASED ON FRACTAL STATISTICAL STRENGTH THEORYChinese Full Text Yu Liu1 Jiawei Zhou1 Changlong Du2(1School of Mechanical and Power Engineering,Henan Polytechnic University,Jiaozuo,454000)(2School of Mechanical and Electrical Engineering,China …

Discrete Element Simulation of Particle Crushing in 1-D …

2018-5-8 · 2.2 Simulation of Particle Crushing Particle Failure Criterion. In this simulation, a modified multigenerational approach method is implemented as follows: Firstly, a particle failure criterion is used to estimate whether a particle should be crushed; secondly, when a particle satisfies the particle failure condition, it is deleted.

Evolution of crushing probability. | Download Scientific …

Thus, the effect of particle breakage on the mechanical properties of breakable granular materials have attracted great attention. Laboratory experiments, such as the single particle crushing test ...

A probabilistic approach to sand particle crushing in the …

2020-1-22 · Single-particle crushing tests have been carried out on the component minerals of a sand and the results have been compared statistically with those obtained for individually marked particles placed in triaxial samples and then subjected to isotropic consolidation and shear tests. The single-particle crushing strength was defined for breakage of asperities and for whole …

Exploration of the Survival Probability and Shape …

2020-10-11 · of the particle size and shape during particle crushing has drawn attention in the numerical simulation and constitutive modeling of crushable granular soils. The survival probability is a statistical quantity for particle crushing. Extensive experimental results on the crushing of single particles show that the survival probability of a single ...

Single-particle crushing strength under different relative …

2020-9-13 · Single-particle crushing test results showed a clear influence of relative humidity for particles in equilibrium with a relative humidity of , whereas particles in equilibrium with a relative humidity of 50 and 75% presented similar results. Changes in relative humidity conditions can affect the formation of small meniscus in the cracks ...

Exploration of the Survival Probability and Shape …

2020-9-3 · particle crushing tests on the children particles suggested that the breakage-induced shape irregularity did not change the Weibull modulus, but had a substantial effect on the magnitude of the survival probability. Keywords: Dyed gypsum particle; Particle crushing; Particle shape; Survival probability; Oedometer test 1.

Role of particle crushing on particle kinematics and shear …

2018-1-8 · The paper provides an in-depth exploration of the role of particle crushing on particle kinematics and shear banding in sheared granular materials. As a two-dimensional approximation, a crushable granular material may be represented by an assembly of irregularly shaped polygons to include shape diversity of realistic granular materials. Particle assemblies are subjected to …

Quantification of particle crushing in consideration of …

2017-10-18 · To incorporate these coupling effects into the model, particle crushing and grading change are calculated for each load increment, in which the crushing probability of a particle during any loading increment is denoted as the corresponding increment of probability of the internal maximum shear stress exceeding its maximum shear strength.

Impact crushing probability of coal particles based on …

2021-12-7 · Impact crushing probability of coal particles based on fractal statistical strength theory: Abstract; Figure/Table; References ; Related Citation (0) | ...

Effects of particle size on crushing and deformation …

Strength and deformation behaviors of rockfill materials,key factors for determining the stability of dams,pertain strongly to the grain crushing characteristics this study,single-particle crushing tests were carried out on rockfill materials with nominal particle diameters of 2.5 mm,5 mm and 10 mm to investigate the particle size effect on ...

Strength and Surviving Probability in Grain …

2019-8-10 · Abstract and Figures. Single-grain crushing tests were carried out on limestone with nominal particle sizes of 2.5, 5, and 10 mm to investigate the effect of particle size and acidic erosion on ...

Crushing in Mineral Processing

2015-12-26 · In mineral processing or metallurgy, the first stage of comminution is crushing. Depending of the type of rock ( geometallurgy) to be crushed, there are 2 largely different techniques at your disposition for crushing rocks. In …

Quantification of particle crushing in consideration of …

A probability‐based model is presented to estimate particle crushing and the associated grading evolution in granular soils during isotropic compression and prepeak shearing in …