Breakage behaviour of rockfill particles in complicated constraint patterns

doi:10.3785/j.issn.1008-973X.2022.08.005

Journal of ZheJiang University (Engineering Science)

2022, Vol. 56

Issue (8): 1514-1522, 1559 DOI: 10.3785/j.issn.1008-973X.2022.08.005

Breakage behaviour of rockfill particles in complicated constraint patterns

Yu-xuan XIAO1,2,3(

),Gang MA1,2,*(

),Xi LU4,Wei ZHOU1,2,Di WANG1,2,Ze-kai MIAO1,2

1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China
2. Key Laboratory of Rock Mechanics in Hydraulic Structural Engineering of Ministry of Education, Wuhan University, Wuhan 430072, China
3. China Railway Siyuan Survey and Design Group Co. Ltd, Wuhan 430063, China
4. Power China Northwest Engineering Co. Ltd, Xi'an 710065, China

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Abstract

Physical tests and numerical experiments based on the combined finite-discrete element method (FDEM) were carried out, in order to study the grain breakage behavior under different constraint patterns in three-dimension conditions. Different constraint patterns were considered by changing the number and position of the surrounding constraints of a particle. The singular value decomposition (SVD) was used to quantify the particle constraint pattern. The effects of constraint patterns on breakage mode, particle strength and fragments size distribution were investigated. Test results indicated that the breakage modes of particles showed three typical forms, chipping, splitting and fragmentation. According to statistical results, the change of crushing load was negligible in the range of four to six constraints, proving the applicability of maximum contact force criterion in the discrete element method (DEM) simulation. The fragment size distributions under different numbers of constraints were explored to provide clues for developing a more realistic fragment replacement mode in DEM simulation.

Key words： particle breakage constraint pattern combined finite-discrete element method breakage mode particle strength fragment size distribution

Received: 08 August 2021 Published: 30 August 2022

CLC:

TV 41

Fund: 国家自然科学基金资助项目（51825905, U1865204）；华能集团科技资助项目（HNKJ18-H26）

Corresponding Authors: Gang MA E-mail: yx_xiao@whu.edu.cn;magang630@whu.edu.cn

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Cite this article:

Yu-xuan XIAO,Gang MA,Xi LU,Wei ZHOU,Di WANG,Ze-kai MIAO. Breakage behaviour of rockfill particles in complicated constraint patterns. Journal of ZheJiang University (Engineering Science), 2022, 56(8): 1514-1522, 1559.

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https://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2022.08.005 OR https://www.zjujournals.com/eng/Y2022/V56/I8/1514

堆石颗粒在复杂约束模式的破碎特性

为了研究三维情况下单个颗粒在不同约束模式下的破碎特性，对颗粒开展了物理试验和基于连续-离散耦合数值分析方法(FDEM)的数值试验研究. 通过改变颗粒周边约束的个数和位置，设定了不同的约束模式，并采用奇异值分解 (SVD) 对颗粒约束模式进行量化，分析约束模式对颗粒破碎模式、破碎强度和碎片尺寸分布的影响. 结果表明，颗粒在不同的约束模式下呈现出3种典型的破碎形式：削切、劈裂和碎裂. 统计不同约束个数下的颗粒破碎峰值荷载，其在4~6个约束个数情况下变化并不明显，可以认为在离散元数值 (DEM)模拟中采用接触力准则判断颗粒破碎具有一定的适用性. 分析碎片尺寸分布，为构建更加合理的碎片替换模式进行离散元颗粒破碎模拟提供了参考和依据.

关键词： 颗粒破碎, 约束模式, 连续-离散耦合分析方法, 破碎模式, 破碎强度, 碎片尺寸分布

Fig.1 Artificial grains preparation flow

Fig.2 INSTRON5969 universal material testing machine

Fig.3 Loading fixture with clamping bars

Fig.4 Failure modes of grains under different constraints patterns

Fig.5 Cracks development of grain in 6-M1 mode

Fig.6 Three typical breakage modes of grains (physical test)

Fig.7 FDEM model of sphere grain

Fig.8 Force matrix schematic diagram in constraints pattern of four constraints

Fig.9 Weibull fitting curves of grain crushing strengths for thirty ellipsoidal rockfill materials

Tab.1 Input parameters used in FDEM model

Fig.10 Force-displacement curve of grain in FDEM numerical simulation

Fig.11 Constraint patterns in different numbers of constraint plates

Fig.12 Mises stress of grain in 4-M1 mode during fracture process

Fig.13 Three typical breakage modes of grains (numerical simulation)

Fig.14 Proportions of three grain breakage modes under different numbers of constraint plates

Fig.15 Relation between number of fragment and singular value

Fig.16 Relation between fracture dissipated energy during particle breakage and singular value

Fig.17 Cumulative distribution of fragments under different numbers of constraint

Fig.18 Peak load at crushing of particles with different breakage modes

Fig.19 Peak load at crushing of particles with different numbers of contraints


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[1]	DENG Xuan-xuan, MA Gang, ZHOU Wei, CHANG Xiao-lin. Effects of local constraints patterns on fragmentation of single grain[J]. Journal of ZheJiang University (Engineering Science), 2018, 52(7): 1329-1337.

[2]	LIU Jun-wei, ZHU Na, WANG Li-zhong, SHANG Wen-chang. Degenerate mechanism of sand-steel interface under cyclic loading[J]. Journal of ZheJiang University (Engineering Science), 2018, 52(6): 1123-1130.

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