Zi‐ming Song, Qing‐bin Meng, Hai Pu, Jiang‐yu Wu, Jiang‐feng Liu
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The ratio of high‐strength force chains to weak‐strength force chains (<jats:italic>R</jats:italic><jats:sub>HF/WF</jats:sub>) and the ratio of high‐strength force chains to microcracks (<jats:italic>R</jats:italic><jats:sub>HF/c</jats:sub>) serve as quantitative indicators of bearing capacity and fracture resistance. At lower confining pressure (<jats:italic>σ</jats:italic><jats:sub>3</jats:sub> ≤ 10 MPa), the specimens exhibit reduced peak strength and increased brittleness, with failure typically occurring along a single macroscopic fracture plane. As <jats:italic>σ</jats:italic><jats:sub>3</jats:sub> increases, the formation of “X”‐shaped failure becomes more pronounced. At the grain scale, a higher dolomite volume facilitates the formation of additional high‐strength force chains within the specimen, along with an increase in Tran‐D‐cs at peak stress. As Tran‐D‐cs require a higher concentration of stress, <jats:italic>σ</jats:italic><jats:sub>p</jats:sub> increases by 13%. Moreover, stronger grain boundary strength enhances the stress concentration needed for fracture by modifying the proportion of Trans‐c, leading to a 70 MPa increase in <jats:italic>σ</jats:italic><jats:sub>p</jats:sub>. Larger grain sizes, in turn, accommodate more force chains, necessitating a higher <jats:italic>σ</jats:italic><jats:sub>p</jats:sub> for fracture.","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"52 1","pages":""},"PeriodicalIF":3.6000,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Effect of Mineral Heterogeneity on the Triaxial Compressive Behavior of Granular Rock: A PFC3D‐GBM Numerical Study\",\"authors\":\"Zi‐ming Song, Qing‐bin Meng, Hai Pu, Jiang‐yu Wu, Jiang‐feng Liu\",\"doi\":\"10.1002/nag.70077\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The mechanical properties of granular rocks are intrinsically linked to the heterogeneity of mineral grains. In this study, a 3D grain‐based model (PFC3D‐GBM) incorporating a hybrid contact model was established. Triaxial compression numerical simulations were conducted to investigate how confining pressure and mineral heterogeneity—characterized by spatial distribution, volume fraction, geometric size, and boundary strength of mineral grains—affect the fracture behavior and mechanical properties of coarse‐grained limestone. The results show that force chains serve as load‐bearing paths that distribute the external load. The orientation of these chains remains uniform, irrespective of the load magnitude. The ratio of high‐strength force chains to weak‐strength force chains (<jats:italic>R</jats:italic><jats:sub>HF/WF</jats:sub>) and the ratio of high‐strength force chains to microcracks (<jats:italic>R</jats:italic><jats:sub>HF/c</jats:sub>) serve as quantitative indicators of bearing capacity and fracture resistance. At lower confining pressure (<jats:italic>σ</jats:italic><jats:sub>3</jats:sub> ≤ 10 MPa), the specimens exhibit reduced peak strength and increased brittleness, with failure typically occurring along a single macroscopic fracture plane. As <jats:italic>σ</jats:italic><jats:sub>3</jats:sub> increases, the formation of “X”‐shaped failure becomes more pronounced. At the grain scale, a higher dolomite volume facilitates the formation of additional high‐strength force chains within the specimen, along with an increase in Tran‐D‐cs at peak stress. As Tran‐D‐cs require a higher concentration of stress, <jats:italic>σ</jats:italic><jats:sub>p</jats:sub> increases by 13%. Moreover, stronger grain boundary strength enhances the stress concentration needed for fracture by modifying the proportion of Trans‐c, leading to a 70 MPa increase in <jats:italic>σ</jats:italic><jats:sub>p</jats:sub>. 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引用次数: 0
摘要
粒状岩石的力学性质与矿物颗粒的非均质性有内在联系。在这项研究中,建立了一个基于颗粒的三维模型(PFC3D - GBM),该模型包含了混合接触模型。通过三轴压缩数值模拟研究围压和矿物非均质性(以矿物颗粒的空间分布、体积分数、几何尺寸和边界强度为特征)对粗粒石灰岩断裂行为和力学性能的影响。结果表明,力链是分配外部载荷的承载路径。无论负载大小如何,这些链的方向都保持一致。高强度力链与弱强度力链之比(RHF/WF)和高强度力链与微裂纹之比(RHF/c)作为承载能力和抗断裂能力的定量指标。在较低围压下(σ3≤10 MPa),试样的峰值强度降低,脆性增加,破坏主要沿单一宏观断裂面发生;随着σ3的增大,“X”形破坏的形成更为明显。在晶粒尺度上,较高的白云石体积有利于在试样内形成额外的高强度力链,同时在峰值应力下Tran - D - cs也会增加。由于Tran - D - cs要求较高的应力集中,σp增加了13%。更强的晶界强度通过改变Trans - c的比例提高了断裂所需的应力集中,导致σp增大70 MPa。晶粒尺寸越大,可容纳的力链越多,断裂的σp值越高。
Effect of Mineral Heterogeneity on the Triaxial Compressive Behavior of Granular Rock: A PFC3D‐GBM Numerical Study
The mechanical properties of granular rocks are intrinsically linked to the heterogeneity of mineral grains. In this study, a 3D grain‐based model (PFC3D‐GBM) incorporating a hybrid contact model was established. Triaxial compression numerical simulations were conducted to investigate how confining pressure and mineral heterogeneity—characterized by spatial distribution, volume fraction, geometric size, and boundary strength of mineral grains—affect the fracture behavior and mechanical properties of coarse‐grained limestone. The results show that force chains serve as load‐bearing paths that distribute the external load. The orientation of these chains remains uniform, irrespective of the load magnitude. The ratio of high‐strength force chains to weak‐strength force chains (RHF/WF) and the ratio of high‐strength force chains to microcracks (RHF/c) serve as quantitative indicators of bearing capacity and fracture resistance. At lower confining pressure (σ3 ≤ 10 MPa), the specimens exhibit reduced peak strength and increased brittleness, with failure typically occurring along a single macroscopic fracture plane. As σ3 increases, the formation of “X”‐shaped failure becomes more pronounced. At the grain scale, a higher dolomite volume facilitates the formation of additional high‐strength force chains within the specimen, along with an increase in Tran‐D‐cs at peak stress. As Tran‐D‐cs require a higher concentration of stress, σp increases by 13%. Moreover, stronger grain boundary strength enhances the stress concentration needed for fracture by modifying the proportion of Trans‐c, leading to a 70 MPa increase in σp. Larger grain sizes, in turn, accommodate more force chains, necessitating a higher σp for fracture.
期刊介绍:
The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.