基于尺寸效应的粗粒土单颗粒破碎试验及数值模拟

doi:10.16285/j.rsm.2019.2000

岩土力学 ›› 2020, Vol. 41 ›› Issue (9): 2953-2962.doi: 10.16285/j.rsm.2019.2000

基于尺寸效应的粗粒土单颗粒破碎试验及数值模拟

孟敏强¹，王磊¹，蒋翔¹，汪成贵¹，刘汉龙^{1, 2, 3}，肖杨^{1, 2, 3, 4}

1. 重庆大学土木工程学院，重庆 400045；2. 重庆大学山地城镇建设与新技术教育部重点实验室，重庆 400045；3. 库区环境地质灾害防治国家地方联合工程研究中心（重庆），重庆 400045；4. 中国矿业大学深部岩土力学与地下工程国家重点实验室，江苏徐州 221116

收稿日期:2019-11-25 修回日期:2020-03-19 出版日期:2020-09-11 发布日期:2020-10-21
通讯作者: 肖杨，男，1982年生，博士，教授，主要从事粗粒土的力学特性及本构模型方面的研究工作。E-mail: hhuxyanson@163.com E-mail: mengmq19911206@163.com
作者简介:孟敏强，男，1991年生，博士研究生，主要从事粗粒土的颗粒破碎特性方面的研究。
基金资助:
国家自然科学基金项目（No.51922024，No.51509024）；中央高校基本科研业务费（No.2019CDXYTM0033）；国家重点实验室开放基金（No.SKLGDUEK1810）。

Single-particle crushing test and numerical simulation of coarse grained soil based on size effect

MENG Min-qiang¹, WANG Lei¹, JIANG Xiang¹, WANG Cheng-gui¹, LIU Han-long^{1, 2, 3}, XIAO Yang^{1, 2, 3, 4}

1. School of Civil Engineering, Chongqing University, Chongqing 400045, China; 2. Key Laboratory of New Technology for Construction of Cities in Mountain Area, Chongqing University, Chongqing 400045, China; 3. National Joint Engineering Research Center of Geohazards Prevention in the Reservoir Areas (Chongqing), Chongqing 400045, China; 4. State Key Laboratory for Geomechanics & Deep Underground Engineering, China University of Mining & Technology, Xuzhou, Jiangsu 221116, China

Received:2019-11-25 Revised:2020-03-19 Online:2020-09-11 Published:2020-10-21
Supported by:
This work was supported by the National Natural Science Foundation of China(51922024, 51509024); the Fundamental Research Funds for the Central Universities(2019CDXYTM0033) and the State Key Laboratory for Geomechanics & Deep Underground Engineering, China University of Mining & Technology(SKLGDUEK1810).

摘要/Abstract

摘要： 在外荷载等因素作用下，粗粒土易发生颗粒破碎。对泥岩和砂岩颗粒进行了一系列的单颗粒破碎试验，基于尺寸效应和颗粒破碎分形模型，研究了单颗粒破碎强度、破碎能量及Weibull模量等与分形维数间的关系。利用PFC3D对单颗粒破碎过程进行分析，并与试验数据对比，验证了数值程序的可靠性；随后扩展到大颗粒粒径，分析了其单破碎强度及破碎能量。结果表明：在同类试验条件下，不同材料所得的分形维数是不同的；不同粒径砂岩的破碎程度均大于泥岩；单颗粒破碎强度具有明显的尺寸效应；单颗粒破碎强度与破碎能量均可通过分形维数与颗粒粒径预测得出；修正后的Weibull模量也可通过分形维数得出；数值模拟结果与试验结果及预测结果基本一致；大颗粒粒径单颗粒破碎强度模拟结果与预测结果基本一致，破碎能量稍有差异，需进一步试验验证。研究成果可为获取大粒径粗粒土的单颗粒强度与变形特性提供参考。

关键词: 尺寸效应, 分形维数, 单颗粒破碎强度, 破碎能量, Weibull分布, 数值模拟

Abstract: The coarse-grained soil is prone to particle breakage under external loads and other factors. A series of single-particle fragmentation tests is conducted for mudstone and sandstone particles. Based on the size effect and fractal model of particle fragmentation, the relationships between the fractal dimension and single-particle crushing strength, fragmentation energy, and Weibull modulus are investigated. A single particle crushing process is analyzed using PFC3D and the modelling results are compared with that from the experimental data to verify the reliability of numerical code. The crushing strength and crushing energy of large particle size are then analyzed by numerical models. The results show that the fractal dimensions of different materials are different under the same test conditions. The fragmentation degree of sandstone with different grain sizes is greater than that of mudstone. The crushing strength of a single particle has an obvious size effect. In addition, the crushing strength and energy of single particle can be predicted by fractal dimension and particle size. The modified Weibull modulus can be also predicted by fractal dimension. The numerical simulation results agree with the experimental results and also agree with the predicted results. Besides, the modelling results of the single particle crushing strength with large particle size are also consistent with the predicted results. The crushing energy, however, shows slightly different, which requires further experimental verification. The research results can provide a reference for obtaining the single particle strength and deformation characteristics of large-size coarse-grained soil.

Key words: size effect, fractal dimension, single-particle crushing strength, crushing energy, Weibull distribution, numerical simulation

中图分类号:

TU411

孟敏强, 王磊, 蒋翔, 汪成贵, 刘汉龙, 肖杨, . 基于尺寸效应的粗粒土单颗粒破碎试验及数值模拟[J]. 岩土力学, 2020, 41(9): 2953-2962.

MENG Min-qiang, WANG Lei, JIANG Xiang, WANG Cheng-gui, LIU Han-long, XIAO Yang, . Single-particle crushing test and numerical simulation of coarse grained soil based on size effect[J]. Rock and Soil Mechanics, 2020, 41(9): 2953-2962.

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基于尺寸效应的粗粒土单颗粒破碎试验及数值模拟

Single-particle crushing test and numerical simulation of coarse grained soil based on size effect

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