particle breakage theory

particle breakage theory

Breakage mechanics—Part I: Theory

While damage effectively represents the opening of micro-cavities and cracks, breakage represents comminution of particles. We term the new theory continuum breakage mechanics (CBM), reflecting the analogy with CDM. A focus is given to developing fundamental concepts and postulates, and identifying the physical meaning …

Simulation experimental investigations on particle breakage …

Download Citation | Simulation experimental investigations on particle breakage mechanism and fractal characteristics of mixed size gangue backfill materials | The compression deformation and ...

A state-dependent hyperelastic-plastic constitutive model …

An elastic–plastic constitutive model considering particle breakage for simulation of crushable granular soils behavior is proposed. In the model, elastic strain rates are derived from a modified Helmholtz free energy function, and the influence of plastic shear work-induced particle breakage on the elastic properties of sand is taken into …

Discrete element method simulation of granular materials …

Particle breakage involves the division of particles into smaller fragments owing to high contact forces. This process affects a wide range of grain sizes, from …

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 …

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-

Microscopic modeling of the creep behavior of rockfills with …

The amount of particle breakage can be quantified using the accumulated fraction of broken CIEs. This index increases from 2.6 % in test T1 to almost 16 % in test T3, which indicates that weathering can significantly accelerate particle breakage. The increase in particle breakage eventually leads to a large increase in the creep …

Simulation experimental investigations on particle breakage …

Also, the particle breakage characteristics of gangue with DPSGs under uniaxial conditions remain unclear. In this paper, a physical 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 …

An elastoplastic constitutive model for frozen saline coarse …

The particle crushing was emphasized by the theory of breakage mechanics, while dilation was interpreted through its negative contribution to the overall positive rate of dissipation. With only five parameters to be determined, the proposed model connected the constitutive behavior to index properties which relate to minimum and maximum densities.

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 …

Particle Breakage

As per the studies done by Lee & Farhoomand [2], it is found that particle breakage increases with the increment of saturation, grain size, uniformity of soil, angularity of …

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 …

New Approach for Predicting Particle Breakage of Granular …

Based on discussion of the problems in the research, it is pointed out that further research should focus on the following: application of the fractal theory to measurement of particle breakage ...

Particle breakage in granular soils: a review

Particle breakage in granular soils: a review ... the disturb state concept theory, the continuum breakage mechanics theory, and the generalized plasticity theory for interpreting the influence of

Particle breakage in construction materials: A geotechnical …

Abstract. An extensive review of literature related to particle breakage and crushing has been done in this paper by filtering out a total of 183 articles from the …

Particle fragmentation based on strain energy field

In conclusion, our particle breakage theory unifies the breakage criterion, shape of the new fragments, and the sub-particle stress field under one theoretical frame. It avoids the use of empirical parameters and the problems caused by oversimplification with averaged stress tensor. Therefore, the framework is expected to make a good ...

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 …

Processes | Free Full-Text | Research on the Particle Breakage …

During the operation of a high-speed shear wet granulator, the rotation of the granulation components leads to the emergence of the phenomenon of particle breakage, which results in changes in particle size. To simulate the breakage process of pharmaceutical powder particle agglomerates in a granulator, a Hertz–Mindlin with …

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...

Experimental Investigation on Particle Breakage Behavior of …

There is often obvious particle breakage for silica sand under high-stress, which will lead to the bearing capacity reduction and excessive settlement of the foundation. This paper focuses on the particle breakage characteristics of marine silica sand from the East China Sea under high-stress conditions. A series of conventional triaxial tests for …

Simulation of force chains and particle breakage of …

Through particle compression test, early researchers proposed the theory of correlation between particle breakage and particle size [11], studied the internal relationship between total input energy and particle breakage [12,13], analyzed the evolution form of the particle breakage [14], and proposed the standard for measuring …

Theory of shear strength of granular materials based on particle breakage

Download Citation | Theory of shear strength of granular materials based on particle breakage | Great efforts have been made to determine the shear strength of coarse granular materials using both ...

A crack theory-based bonded-particle model for rock …

Particle breakage shows significant effect on the macroscopic behaviour of rock materials, and the discrete element method is a powerful tool to investigate the relationship between micro fracture and

Is It Possible to Use Breakage Models to Predict Particle

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 …

Breakage mechanics—Part I: Theory | Request PDF

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 ...

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 …

Particle breakage and its mechanical response in granular …

The statistical analysis utilizes Weibull distribution and fractal theory to investigate the mechanical properties of particle breakage and gradation evolution. …

Analytical analysis of cylindrical cavity expansion considering

The particle breakage effect in sand exerts a significant influence on the design of underground space structure. However, the existing theories seldom consider the breakage effect and often lack accurate descriptions of void ratio changes, leading to substantial errors in the numerical calculations compared to the actual scenario.

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 ...

Mechanism of the Breakage of Spherical Gypsum Particles …

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 ...