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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-
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Stress Models. The limitation of the KE model in predicting particle deformation resulted in the development of a new model. Relating milling conditions to particle breakage was modeled based on the contact area calculated using Hertz theory. 13 To directly compare the contact area model to the stress intensity, linear velocity is used in this study. 28
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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 …
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A simple, yet complete framework is introduced with the aim of modelling grain breakage in soils and crushable granular materials. The evolution of grain breakage is …
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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 …
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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 …
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Particle breakage is commonly observed in granular materials when subjected to external loads. It was found that particle breakage would occur during both sample preparation and loading stages. ... Breakage mechanics – Part I: Theory. Journal of the Mechanics and Physics of Solids, 55 (6) (2007), pp. 1274-1297. View PDF View article View in ...
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Particle breakage in a granular material alters its microstructural properties, which changes its properties on the macroscopic and microscopic scale.
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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 ...
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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. …
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Based on the theory of specific breakage energy, excess specific breakage energy distribution function (ESBEDF) was defined to explain the effect of impact energy and parent particle size on material breakage. The theory of specific breakage energy was validated by fragment size distribution of three different sets of drop weight tests results.
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Particle breakage of calcareous sands under impact loadings, closely related to marine and geotechnical engineering, has attracted a great deal of attention. ... Based on the evolution of PSD as well as fractal theory, the fractal behaviors of calcareous sands were analyzed from the perspective of the size effect. The relationship between the ...
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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 …
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To verify the theory, particle contact tests of gypsum spheres under three-point contact conditions were carried out. The experimental results are consistent with the theoretical prediction. Different from the ball–ball contact test, the rupture surface after breakage is a fixed plane passing through all three contact points under three-point ...
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This paper presents a review of particle breakage in granular soils by comprehensively summarizing the measurement of particle breakage, the fundamentals of …
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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.
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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 ...
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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
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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 …
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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 …
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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 ...
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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 …
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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 ...
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The breakage potential (B p) and total breakage (B t) suggested by Hardin are defined by integrations (Fig. 1), respectively, to measure the potential amount of particle breakage.The particles mainly considered and used are soil particles; that is, the particle scale in this paper is approximately between tens of microns and centimeters.
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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 ...
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The statistical analysis utilizes Weibull distribution and fractal theory to investigate the mechanical properties of particle breakage and gradation evolution. Experimental …
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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 …
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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 ...
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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 ...
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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 …
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