# Mathematical model revealing the evolution of particle breakage and particle-size distribution for rockfill during triaxial shearing

Wanli Guo, Yinghao Huang, Andy Fourie, Yingli Wu

Research output: Contribution to journalArticle

### Abstract

A mathematical model reflecting the evolution of both particle breakage and particle-size distribution (PSD) for rockfill subjected to triaxial shear has been proposed in this article. First, the PSD of a soil is expressed by a gradation equation which has been shown to be widely applicable by comparison with a large amount of test data from soils encountered in practice. Then two particle breakage factors B g and B r are suggested and proved to be two suitable breakage factors in the model. Mathematical relationships between B g , B r and the gradation equation’s parameters b and m are derived. Then, correlations between the two breakage factors, effective mean normal stress and generalised shear strain during shearing are expressed by empirical functions, with several drained triaxial compression test data verifying the applicability. The inter-relationships of particle breakage, PSD and stress state of rockfill are thereby established, providing what is termed the PSD evolution model. Additionally, the proposed PSD evolution model is verified by successfully predicting the particle breakage factors and PSDs of rockfill triaxial specimens.

Original language English 16 European Journal of Environmental and Civil Engineering https://doi.org/10.1080/19648189.2018.1552898 Published - 28 Jan 2019 Yes

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Shearing
Particle size analysis
Particles (particulate matter)
Mathematical models
Soils
Shear strain

### Cite this

title = "Mathematical model revealing the evolution of particle breakage and particle-size distribution for rockfill during triaxial shearing",
abstract = "A mathematical model reflecting the evolution of both particle breakage and particle-size distribution (PSD) for rockfill subjected to triaxial shear has been proposed in this article. First, the PSD of a soil is expressed by a gradation equation which has been shown to be widely applicable by comparison with a large amount of test data from soils encountered in practice. Then two particle breakage factors B g and B r are suggested and proved to be two suitable breakage factors in the model. Mathematical relationships between B g , B r and the gradation equation’s parameters b and m are derived. Then, correlations between the two breakage factors, effective mean normal stress and generalised shear strain during shearing are expressed by empirical functions, with several drained triaxial compression test data verifying the applicability. The inter-relationships of particle breakage, PSD and stress state of rockfill are thereby established, providing what is termed the PSD evolution model. Additionally, the proposed PSD evolution model is verified by successfully predicting the particle breakage factors and PSDs of rockfill triaxial specimens.",
keywords = "evolution model, gradation equation, particle breakage, particle-size distribution, Rockfill",
author = "Wanli Guo and Yinghao Huang and Andy Fourie and Yingli Wu",
year = "2019",
month = "1",
day = "28",
doi = "10.1080/19648189.2018.1552898",
language = "English",
journal = "European Journal of Environmental and Civil Engineering",
issn = "1964-8189",
publisher = "Taylor & Francis",

}

TY - JOUR

T1 - Mathematical model revealing the evolution of particle breakage and particle-size distribution for rockfill during triaxial shearing

AU - Guo, Wanli

AU - Huang, Yinghao

AU - Fourie, Andy

AU - Wu, Yingli

PY - 2019/1/28

Y1 - 2019/1/28

N2 - A mathematical model reflecting the evolution of both particle breakage and particle-size distribution (PSD) for rockfill subjected to triaxial shear has been proposed in this article. First, the PSD of a soil is expressed by a gradation equation which has been shown to be widely applicable by comparison with a large amount of test data from soils encountered in practice. Then two particle breakage factors B g and B r are suggested and proved to be two suitable breakage factors in the model. Mathematical relationships between B g , B r and the gradation equation’s parameters b and m are derived. Then, correlations between the two breakage factors, effective mean normal stress and generalised shear strain during shearing are expressed by empirical functions, with several drained triaxial compression test data verifying the applicability. The inter-relationships of particle breakage, PSD and stress state of rockfill are thereby established, providing what is termed the PSD evolution model. Additionally, the proposed PSD evolution model is verified by successfully predicting the particle breakage factors and PSDs of rockfill triaxial specimens.

AB - A mathematical model reflecting the evolution of both particle breakage and particle-size distribution (PSD) for rockfill subjected to triaxial shear has been proposed in this article. First, the PSD of a soil is expressed by a gradation equation which has been shown to be widely applicable by comparison with a large amount of test data from soils encountered in practice. Then two particle breakage factors B g and B r are suggested and proved to be two suitable breakage factors in the model. Mathematical relationships between B g , B r and the gradation equation’s parameters b and m are derived. Then, correlations between the two breakage factors, effective mean normal stress and generalised shear strain during shearing are expressed by empirical functions, with several drained triaxial compression test data verifying the applicability. The inter-relationships of particle breakage, PSD and stress state of rockfill are thereby established, providing what is termed the PSD evolution model. Additionally, the proposed PSD evolution model is verified by successfully predicting the particle breakage factors and PSDs of rockfill triaxial specimens.

KW - evolution model

KW - particle breakage

KW - particle-size distribution

KW - Rockfill

UR - http://www.scopus.com/inward/record.url?scp=85061006210&partnerID=8YFLogxK

U2 - 10.1080/19648189.2018.1552898

DO - 10.1080/19648189.2018.1552898

M3 - Article

JO - European Journal of Environmental and Civil Engineering

JF - European Journal of Environmental and Civil Engineering

SN - 1964-8189

ER -