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When tested against experimental results, this model was able to correctly predict the crushable behavior of a sand. Keywords: particle breakage , granular media , grain crushing , fractal , particle strength , grain size distribution.


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A combined DEM-SBFEM for modelling particle breakage of rock-fill materials

Canadian Geotechnical Journal. Corresponding author: Younes Salami email: y. Abstract A simple, yet complete framework is introduced with the aim of modelling grain breakage in soils and crushable granular materials. Atkinson, B. Fracture mechanics of rock.


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Academic Press geology series. Biarez, J. Elementary mechanics of soil behaviour: saturated remoulded soils. Balkema, Rotterdam. Google Scholar. Billam, J. Some aspects of the behaviour of granular materials at high pressures. Edited by R. Cavarretta, I.

Particle breakage in granular materials — a conceptual framework - Canadian Geotechnical Journal

The influence of particle chararcteristics on the engineering behavior of granular materials. Colliat-Dangus, J.

Particle breakage in a cone crusher modeled using a particle replacement method

Triaxial testing of granular soil under elevated cell pressure. In Advanced triaxial testing of soil and rock. Particle breakage during shearing of a carbonate sand. An elastoplastic model for granular materials taking into account grain breakage. Einav I.

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Breakage mechanics—Part II: Modelling granular materials. Breakage mechanics—Part I: Theory. One-dimensional high-pressure compression of granular media. Hardin BO. Crushing of soil particles. A constitutive model for granular materials considering grain breakage. Jaeger JC. Failure of rocks under tensile conditions. Particle crushing and deformation behaviour. Significance of particle crushing in granular materials. Leclerc, I. Lee, I. Mechanical behaviour of compacted decomposed granite soil. Lee KL, Farhoomand I. Compressibility and crushing of granular soil in anisotropic triaxial compression.

Lo KY, Roy M. Response of particulate materials at high pressures. Marsal RJ. As a result for all tested materials the correlation integration of the force with respect to displacement up to the between average breakage force F B and average energy W B results breakage point. Surprisingly, the results for loading rates 4.

There is a linear dependence with R2 of about 0. The second tested material was basalt. It can be characterized The linear dependence of the average breakage force on the as brittle material Schultz, ; Violay et al. According strength. However, similar to the glass spheres, where d is the particle diameter for spherical particles. Within the one may observe a linear relationship between breakage force and scope, the model of soft contact of comparatively stiff hemispheres work. Tomas, a, b d will be replaced with the diameter of On the contrary to the above tested brittle materials, the third hemisphere dr which can be assumed to be proportional to the tested material—NaCl from Dead Sea—exhibits the elastic—plastic distance between loading points d, see Fig.

Tavares and Tavares et al. Unfortunately, this commercial demonstrated that relationship between particle fracture strength tester can be used up to maximal force of about N.

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The other loading single impact, double impact or slow compression. The average breakage force versus average compression work for spherical Breakage work in mJ glass particles.

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The breakage force versus breakage energy for NaCl particles. Table 2 The average compression energies and forces of spherical glass particles. The cumulative distribution functions for breakage probability of glass spheres depending on the energy and force. The distribution marked with dashed line was obtained from work distribution by means of transformation.

The particle size d lies between 2. That means that Eq. The particle becomes more plastic with decreasing of the particle size. Consequently, it is connected with parameters of lognormal distribution function interesting to test not only the correlation between average Beucher, as follow: values of both distributions but also the link between standard s2ln;X! In Fig. The lognormal distribution is most commonly used It was found that the breakage work distribution can be distribution to describe the breakage probability of a variety of transformed into the breakage force distribution and vice versa.

The dimensionless variable XW is obtained from breakage work The experimental cumulative breakage probability distribution by a division of the measured values by arithmetic mean value Pexp WB was calculated by counting all breakage events with W B. The 2. The data from distribution mln,XF, sln,XF and work distribution mln,XW, sln,XW is experimental force distributions versus distributions obtained used to obtain the parameters of corresponding distribution of by means of transformation of corresponding compression work breakage force: distributions is represented in Fig.

The lognormal distribution of dimensionless breakage force XF It should be emphasized here, that Eqs.