A Hypoplastic Constitutive Model for Granular Materials with Particle …

Granular materials, such as rockfill materials and carbonate sand, exhibit complex mechanical behavior, which is affected by particle breakage under elevated pressures. In this study, we present a relative breakage model based on mean stress, void ratio, and strain. We further consider the effect of relative breakage on the critical state line.

Study on the inhibitory effect of rubber on particle breakage …

Ding et al. [66] pointed out that particle breakage will lead to volumetric strain in the soil. However, for the 0% RM and 5% RM samples with low RM content, the protective effect of rubber on particle breakage is not obvious. Therefore, under the impact load, the particle movement and fragmentation continue to occur, resulting in an increase ...

Breakage mechanics—Part I: Theory | Request …

According to the ultimate gradation theory [11], the particle breakage increases with the increasing p, but it will eventually tend to a fixed value. Therefore, the gradient of B r * (p/p a ) n ...

Particle breakage behavior of a foundation filling material …

Calcareous sand (CS) is a special geomaterial that is susceptible to particle breakage. In order to clarify the effects of coarse-particle content (CC) and impact energy (Eb) on CS particle breakage, multiple impact tests were conducted on CS, and fractal dimension (α) and relative breakage ratio (Br) were introduced to quantitatively assess the CS particle breakage …

The improved model of inter-particle breakage considering …

The effect of particle shape transformation on the crushing results and the size effect of the breakage process caused by the particle size are considered, and the influence of parameters of inter-particle breakage model on the crushing product is studied by the inter-particle breakage experiment using the cubic and flaky particles with ...

On the role of particle breakage in the shear failure …

The effects of particle breakage on the stress ratio, volumetric strain, plastic deformation, and shear failure behavior of dense crushable specimens undergoing plane strain shearing conditions are thoroughly investigated through a variety of micromechanical analyses and mechanism demonstrations. The simulation of a granular specimen is based ...

Effect of compression and shear on particle breakage of …

Changes in particle granulometry could lead to significant changes in a soil's behavior, making an understanding of micro-scale granulometry essential for practical applications. Changes in particle size, shape, and particle size distribution could result from a combination of applied normal and shearing stresses, which can in turn influence further …

Comminution

As with any material, rock particles only break when the applied tensile stress exceeds the tensile strength of the rock. However, in terms of comminution, the main interest is to derive reliable ways of assessing how a particular material breaks in a comminution device such as a crusher or a mill [].In general, the breakage of rock particles is dependent on two factors: …

Discrete element method simulation of granular materials …

The original DEM developed by Cundall et al. [69] did not account for particle breakage, prompting the development of various solutions to overcome this constraint. One approach involves replacing particles that meet a predetermined failure criterion with a small, equivalent group of particles [70], [71], [72].Another method models each granular particle as …

A discrete element method (DEM)-based approach to …

In current paper, an approach for particle breakage simulation is proposed based on the framework of discrete element method. In this approach, convex polyhedron blocks are …

Micromechanical modeling of particle breakage of granular …

The particle breakage of granular materials under compression is a phenomenon of great importance. In this paper, a micromechanically based model for the compression of crushable granular materials is developed in the framework of thermomechanics. Both the internal and dissipative energies in the model are derived using the micro–macro volume averaging …

An extended hypoplastic constitutive model considering particle …

Particle breakage of coarse granular material, such as calcareous sand and Cambria sand, ... The hypoplasticity is a nonlinear theory that has been widely utilized for geotechnical problems (Hleibieh et al., 2014, Peng et al., 2015, Qiu and Grabe, 2012). In the framework of hypoplasticity, the constitutive model is composed of the linear part ...

New Approach for Predicting Particle Breakage of Granular …

The demarcation lines, where the mass percentage of newly generated PSFs started to decline, were calculated and verified. The process of change in fractal dimensions and relative breakage with W was divided into four stages: intense breakage, fast breakage, slow breakage, and creep breakage. Each stage was analyzed to determine the change in ...

New Approach for Predicting Particle Breakage of Granular …

This paper presents a quantitative analysis and prediction of the process of particle breakage, from the initial state of one particle size fraction (PSF) to the ultimate state of stable grading. …

New Approach for Predicting Particle Breakage of Granular …

Degradation of geomaterials, that is, particle breakage, can be harmful to the full life-cycle stability of practical engineering; for example, rockfill dam, energy-pile foundation, railway ...

One-Dimensional Compression Fractal Theory and …

Coarse-grained soil particles are suspectible to breakage under high-stress conditions, with particle breakage being the main reason for the compression of samples. The compression coefficient λ in the e–log σ′ curve is closely related to the degree of particle breakage. In this paper, a term representing surface energy caused by particle ...

Quantifying Particle Breakage and Its Evolution …

In this study, grading entropy coordinates are used as a means to quantify particle breakage to explicitly analyse changes in PSD as a result of particle breakage. Data from three different experimental data sets on different …

Testing and Modeling on Particle Breakage for Granular Soils

In addition, two new methods were proposed to quantify the particle breakage in crushable soils under loading. Mao et al. provided an image analysis approach to evaluate the location and extent of particle breakage below a flat-ended pile tip by black-coating particles.The assembled gray images in different positions can form a quasi-stereoscopic graph that was …

Particle breakage in granular soils: a review

This paper presents a review of particle breakage in granular soils by comprehensively summarizing the measurement of particle breakage, the fundamentals of …

Particle-morphology-based characterization of the breakage …

Advanced image processing techniques (i.e., the QICPIC imaging system and the X-ray micro-tomography) are employed to analyse the particle crushing phenomenon by …

Particle breakage in construction materials: A geotechnical …

Particle breakage is the phenomena of fragmentation process that particles undergo due to applied load and thus resulting in stresses inside the soil matrix [4]. Particle breakage occurs when the stresses inside the soil matrix exceed beyond its capability [1], [2]. In other words, particle breakage is basically any fragmentation that occurs in ...

Fractal characteristics of particle breakage on the coral …

Particle breakage at coral sands–structure interface is common in marine geological environments and is critical to the stability of geotechnical structures. However, due to the knowledge gap regarding the relationship between structure roughness and coral sand particle breakage, previous studies have not provided a clear understanding of this phenomenon. To …

A REVIEW OF NUMERICAL METHODS FOR …

Therefore, the analysis of particle breakage process has both practical engineering significance and theoretical research value. In this paper, the numerical analysis methods of particle breakage behavior are reviewed. ... The …

A particle-breakage critical state model for rockfill material

Particle breakage has a significant influence on the stress-strain and strength behavior of rockfill material. A breakage critical state theory (BCST) was proposed to describe the evolution of particle breakage. The breakage critical state line in the breakage critical state theory was correlated with the breakage factor, which was fundamentally different from that of the …

Particle breakage in granular soils: a review

This paper presents a review of particle breakage in granular soils by comprehensively summarizing the measurement of particle breakage, the fundamentals of particle breakage, the soil...

Analysis of the behavior of a high earth-core rockfill dam …

For rockfill materials, the authors' research group proposed an elastoplastic constitutive model that can account for the effect of particle breakage (Shen et al., 2021), termed as hhu-SH-breakage model.In this study, the hhu-SH-breakage model was applied to the rockfill deformation prediction of the Lianghekou earth-core rockfill dam with a height of 295 m in China.

Theory of shear strength of granular materials based on particle breakage

A simple method to determine the shear strength of coarse granular materials is proposed based on a fractal model for particle breakage. The shear strength of coarse granular materials can be seen as the friction between particle contacts, and the particle contacts can be modeled by the fractal model for particle breakage. ... Theory of shear ...

Particle breakage characteristics of a foundation filling …

The special susceptibility of calcareous sand to breakage has already drawn the attention of numerous scholars. By conducting triaxial shear tests on calcareous coarse sand (CCS) under different axial strains, Wang et al. [12] found that the particle breakage quantity of CCS increased at a gradually decreasing rate with increasing axial strain and continued to …

Simulation experimental investigations on particle breakage …

Also, the particle breakage characteristics of gangue with DPSGs under uniaxial conditions remain unclear. ... compression experiment of mixed size gangue is carried out by designing a scheme based on Talbot's theory and fractal theory was used to quantify the breakage degree of mixed size gangue particles after compression. Combined with the ...

A breakage model for particulate solids under impact loading

Breakage of particle is an integral process in grinding a particulate material to achieve a desired particle size reduction. The size reduction in a milling operation arises from …

Research on Hertz Contact Theory considering particle …

Particle breakage in a granular material alters its microstructural properties, which changes its properties on the macroscopic and microscopic scale.

A new method for studying the evolution of particle …

Particle breakage is a complex process involving changes ... theory, based on which the particle crushing is considered as a limit event. As for non-uniformly graded samples, which can be ...

A study on the correlation between fractal dimension and particle …

The JK Mineral Research Center (JKMRC) has developed breakage models related to size effects and mass-specific energy inputs. At JKMRC, the breakage distribution is modeled using a single parameter t 10, which is the particle size passing an aperture of 1/10 of the initial feed size.They defined that the larger the t 10, the finer the breakage product (Shi, 2016).

Particle shape analysis of calcareous sand based on digital …

The constancy of the particle shape fractal dimension despite the particle breakage resulted from the self-similar nature of particle breakage. Table 2 Statistics of particle fractals. Full size table

A constitutive model for coal gangue coarse-grained …

A constitutive model incorporating particle breakage for CGSF was established, and its accuracy was validated. ... Wu, L. Q. & Zhu, Y. M. Ultimate state and probability of particle breakage for ...

(PDF) Granular Soil Particle Breakage Prediction Model …

A novel particle breakage model for granular soils was developed based on population evolution theory. The relationship between population evolution and particle breakage was first established ...

Chapter 6 Comminution

particles, the third theory was proportional with the crack length formed. On the other hand, Stamboliadis [64] stated that both Kick's and Rittinger's statements are ... specific equipment used for particle breakage. In the last few decades, attention has been shifted to separate material property characterization from equipment param-