A constitutive model for coal gangue coarse-grained subgrade filler incorporating particle breakage

Abstract The accumulation and discharge amount of coal gangue are substantial, occupying significant land resources over time. Utilizing coal gangue as subgrade filler can generate notable economic and social benefits. Coal gangue coarse-grained soil (CGSF) was used to conduct a series of large-scal...

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Main Authors: Zong-Tang Zhang, An Liu, Si-Chun Yu, Shun-Kai Liu, Chuan-Feng Fang, Ze Liu, Wei Hu
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-85979-z
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author Zong-Tang Zhang
An Liu
Si-Chun Yu
Shun-Kai Liu
Chuan-Feng Fang
Ze Liu
Wei Hu
author_facet Zong-Tang Zhang
An Liu
Si-Chun Yu
Shun-Kai Liu
Chuan-Feng Fang
Ze Liu
Wei Hu
author_sort Zong-Tang Zhang
collection DOAJ
description Abstract The accumulation and discharge amount of coal gangue are substantial, occupying significant land resources over time. Utilizing coal gangue as subgrade filler can generate notable economic and social benefits. Coal gangue coarse-grained soil (CGSF) was used to conduct a series of large-scale vibration compaction tests and large-scale triaxial tests. The results indicate that the maximum dry density of CGSF initially increases and then decreases with the increase in fractal dimension. The stress–strain curves of the samples exhibit a distinct nonlinear growth pattern. Analysis of the compaction effect suggests that the compaction degree of CGSF should not be lower than 93%. As the confining pressure increases, the extent of failure strength improvement due to increased compaction decreases. Additionally, the failure strength of samples initially increases and then decreases with the increase in coarse particle content. A modified quadratic polynomial fractal model gradation equation was proposed to describe the gradation of samples after particle breakage. Based on this, a new quantitative index for particle breakage was established. Analysis of particle breakage in samples revealed that higher confining pressure and greater coarse particle content lead to increased particle breakage. The breakage exhibited a significant size effect, and the impact of particle gradation on sample breakage was greater than that of confining pressure. The stress–strain relationship of CGSF was analyzed by using a logarithmic constitutive model, and the correlation between model parameters and the newly derived particle breakage index was generated. A constitutive model incorporating particle breakage for CGSF was established, and its accuracy was validated.
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spelling doaj-art-ebb586c13bcb4e87881eed8b7cc372c82025-01-19T12:17:21ZengNature PortfolioScientific Reports2045-23222025-01-0115111810.1038/s41598-025-85979-zA constitutive model for coal gangue coarse-grained subgrade filler incorporating particle breakageZong-Tang Zhang0An Liu1Si-Chun Yu2Shun-Kai Liu3Chuan-Feng Fang4Ze Liu5Wei Hu6Hunan Provincial Key Laboratory of Geotechnical Engineering for Stability Control and Health Monitoring, Hunan University of Science and TechnologyHunan Provincial Key Laboratory of Geotechnical Engineering for Stability Control and Health Monitoring, Hunan University of Science and TechnologyConstruction Third Engineering Bureau, The Third Construction Co., Ltd. of ChinaHunan Provincial Key Laboratory of Geotechnical Engineering for Stability Control and Health Monitoring, Hunan University of Science and TechnologyHunan Provincial Key Laboratory of Geotechnical Engineering for Stability Control and Health Monitoring, Hunan University of Science and TechnologyHunan Provincial Key Laboratory of Geotechnical Engineering for Stability Control and Health Monitoring, Hunan University of Science and TechnologyHunan Provincial Key Laboratory of Geotechnical Engineering for Stability Control and Health Monitoring, Hunan University of Science and TechnologyAbstract The accumulation and discharge amount of coal gangue are substantial, occupying significant land resources over time. Utilizing coal gangue as subgrade filler can generate notable economic and social benefits. Coal gangue coarse-grained soil (CGSF) was used to conduct a series of large-scale vibration compaction tests and large-scale triaxial tests. The results indicate that the maximum dry density of CGSF initially increases and then decreases with the increase in fractal dimension. The stress–strain curves of the samples exhibit a distinct nonlinear growth pattern. Analysis of the compaction effect suggests that the compaction degree of CGSF should not be lower than 93%. As the confining pressure increases, the extent of failure strength improvement due to increased compaction decreases. Additionally, the failure strength of samples initially increases and then decreases with the increase in coarse particle content. A modified quadratic polynomial fractal model gradation equation was proposed to describe the gradation of samples after particle breakage. Based on this, a new quantitative index for particle breakage was established. Analysis of particle breakage in samples revealed that higher confining pressure and greater coarse particle content lead to increased particle breakage. The breakage exhibited a significant size effect, and the impact of particle gradation on sample breakage was greater than that of confining pressure. The stress–strain relationship of CGSF was analyzed by using a logarithmic constitutive model, and the correlation between model parameters and the newly derived particle breakage index was generated. A constitutive model incorporating particle breakage for CGSF was established, and its accuracy was validated.https://doi.org/10.1038/s41598-025-85979-zCoal gangue subgradeSubgrade fillerParticle breakageCoarse-grained soilConstitutive model
spellingShingle Zong-Tang Zhang
An Liu
Si-Chun Yu
Shun-Kai Liu
Chuan-Feng Fang
Ze Liu
Wei Hu
A constitutive model for coal gangue coarse-grained subgrade filler incorporating particle breakage
Scientific Reports
Coal gangue subgrade
Subgrade filler
Particle breakage
Coarse-grained soil
Constitutive model
title A constitutive model for coal gangue coarse-grained subgrade filler incorporating particle breakage
title_full A constitutive model for coal gangue coarse-grained subgrade filler incorporating particle breakage
title_fullStr A constitutive model for coal gangue coarse-grained subgrade filler incorporating particle breakage
title_full_unstemmed A constitutive model for coal gangue coarse-grained subgrade filler incorporating particle breakage
title_short A constitutive model for coal gangue coarse-grained subgrade filler incorporating particle breakage
title_sort constitutive model for coal gangue coarse grained subgrade filler incorporating particle breakage
topic Coal gangue subgrade
Subgrade filler
Particle breakage
Coarse-grained soil
Constitutive model
url https://doi.org/10.1038/s41598-025-85979-z
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