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 languageEnglish
Number of pages16
JournalEuropean Journal of Environmental and Civil Engineering
DOIs
Publication statusPublished - 28 Jan 2019
Externally publishedYes

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

Cite this

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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.",
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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.

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