Exploring Grading-Dependency of Deformation Modulus of Loose Aggregates of Spherical Particles Using DEM

He, Jun Kit; Liu, Fang; Jiang, Mingjing; Deng, Gang; Wang, Huaning

doi:10.1007/978-981-13-0125-4_92

Cited by 2 publications

(8 citation statements)

References 19 publications

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“…Unlike the typical nonlinear e‐p curves obtained from laboratory, the void ratio obtained from the simulations linearly decreases with the increase of the mean stress for all samples. The linear e ‐ p relation was also consistently revealed in three‐dimensional DEM simulations of isotropic compression tests 9,62 and confined compression tests 13,33 . This phenomenon could be attributed to the lack of particle breakage in the simulations.…”

Section: Resultssupporting

confidence: 62%

“…[26] for quantifying the fabric of granular materials at a particular stress level, it is computed as:

VWCN = \frac{1}{V} \sum_{p = 1}^{N} V_{p} C_{p}

where V is the total volume of a sample composed of N particles with more than one contacts; and V p and C p are the volume and contact number of the p th particle, respectively. Our previous study 9 suggested that VWCN strongly connects to the space filling properties of granular materials. The strong I G ‐VWCN correlation could explain the good performance of I G in describing the variation of the reference void ratio (see Figure 9A).…”

Section: Resultsmentioning

confidence: 96%

“…It is widely acknowledged that the bulk properties of a size‐polydisperse material (i.e., a material composed of particles with different sizes) are gradation‐dependent. The gradation of a material significantly affects the material's packing density, 4–8 stiffness, 9–13 and shear strength 14–17 among others. Many experiments have been performed to establish relationships between mechanical properties of coarse‐grained materials and their GSDs.…”

Section: Introductionmentioning

confidence: 99%

“…The reason for this difference could be due to the fact that the numerical studies are mostly focused on materials with relatively narrow gradations to reduce the computational cost, and therefore fail to reveal behaviors of materials with wide gradations. In addition, the gradation‐property relationships are overshadowed by the adoption of limited shapes of GSDs, 8,33,39 given that pronounced gradation‐dependence has been found in the simulations using a wide range of GSDs 9,15 …”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Relationships between gradation and deformation behavior of dense granular materials: Role of high‐order gradation characteristics

Liu

Deng

et al. 2021

Num Anal Meth Geomechanics

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This paper numerically investigates deformation behavior of coarse‐grained granular materials with emphasis on the effect of grain size distribution (GSD). Biaxial compression tests are simulated in two dimensions using distinct element method (DEM) on a set of samples composed of uncrushable spheres following a wide variety of GSDs. The results prove that high‐order characteristics of gradation, such as the shape of the GSD curve, significantly affect deformation behavior of widely‐graded materials. Two grading indices are proposed to consider the combined effects of the spread and the shape of the GSD curve, and they are highly correlated with the parameters of the materials’ internal fabric. Strong correlations are found between the proposed grading indices and deformation parameters, such as those of the normal compression line and the critical state line (CSL) in the e‐p space, and the deformation modulus. In contrast, using the more conventional coefficient of uniformity cannot reach effective gradation‐dependent relations for those deformation parameters due to the deficiency in characterizing high‐order features of gradation. This study suggests the need for incorporating high‐order characteristics of gradation into a refined measure of size polydispersity in order to establish gradation‐dependent relations of deformation parameters widely effective for polydisperse granular materials.

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Section: Resultssupporting

confidence: 62%

“…[26] for quantifying the fabric of granular materials at a particular stress level, it is computed as:

VWCN = \frac{1}{V} \sum_{p = 1}^{N} V_{p} C_{p}

Section: Resultsmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Relationships between gradation and deformation behavior of dense granular materials: Role of high‐order gradation characteristics

Liu

Deng

et al. 2021

Num Anal Meth Geomechanics

Self Cite

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“…These contradictory findings led to different empirical prediction models for the small-strain shear modulus, suggesting that the D50 and Cu, derived respectively from only one and two points on a GSD curve, is too crude to characterize size polydispersity. Moreover, in some cases where the GSD is highly truncated [9,10], d10 or even d60 can often not be determined and Cu cannot be calculated. Although some other descriptors are developed to better characterize size polydispersity, such as the moments of GSD [11,12], and the breakage potential defined from the area under a GSD curve [13,14], their validity in the gradationdependent correlations requires further investigations.…”

Section: Introductionmentioning

confidence: 99%

Revealing Correlations Between Size Polydispersity and Deformability of Idealized Granular Materials using DEM

Han

Zhang

et al. 2022

Preprint

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This paper numerically investigates the deformability of granular materials with emphasis on the influence of particle size polydispersity. Triaxial compression tests are simulated using distinct element method (DEM) on a set of samples consisting of uncrushable spheres following a variety of grain size distributions. The compressibility under isotropic compression and deformation modulus during triaxial shearing are examined to correlate with the size polydispersity. The results show that, given the same relative density, the compressibility and deformation modulus is insensitive to the grain-size conditions under consideration, but the void ratio is significantly influenced by the size polydispersity. A grading index proposed by the authors is employed to quantify the size polydispersity and correlate with the deformation parameters. Compared with the more conventional coefficient of uniformity, this grading index exhibits a better performance for faithfully representing size polydispersity. An empirical prediction model for the deformation modulus is developed to account for the effect of the size polydispersity, in addition to the confining pressure and void ratio. Although this model exhibits a fair performance for predicting the deformation modulus, it is considered promising in accounting for the effect of size polydispersity. At the microscale, a unique correlation is found between the deformation modulus and the mechanical average coordination number, which can be estimated from the effective void ratio.

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Exploring Grading-Dependency of Deformation Modulus of Loose Aggregates of Spherical Particles Using DEM

Cited by 2 publications

References 19 publications

Relationships between gradation and deformation behavior of dense granular materials: Role of high‐order gradation characteristics

Relationships between gradation and deformation behavior of dense granular materials: Role of high‐order gradation characteristics

Revealing Correlations Between Size Polydispersity and Deformability of Idealized Granular Materials using DEM

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