堆石颗粒在复杂约束模式的破碎特性

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

浙江大学学报(工学版)

2022, Vol. 56

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

土木与交通工程

堆石颗粒在复杂约束模式的破碎特性

肖宇轩1,2,3(

),马刚1,2,*(

),陆希4,周伟1,2,王頔1,2,苗泽锴1,2

1. 武汉大学水资源与水电工程科学国家重点实验室，湖北武汉 430072
2. 武汉大学水工岩石力学教育部重点实验室，湖北武汉 430072
3. 中铁第四勘察设计院集团有限公司，湖北武汉 430063
4. 中国电建集团西北勘测设计研究院有限公司，陕西西安 710065

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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摘要：

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

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

收稿日期: 2021-08-08 出版日期: 2022-08-30

CLC:

TV 41

基金资助: 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）

通讯作者: 马刚 E-mail: yx_xiao@whu.edu.cn;magang630@whu.edu.cn

作者简介: 肖宇轩（1997—），男，硕士生，从事高坝结构数值仿真研究. orcid.org/0000-0002-9471-5300. E-mail: yx_xiao@whu.edu.cn

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引用本文:

肖宇轩,马刚,陆希,周伟,王頔,苗泽锴. 堆石颗粒在复杂约束模式的破碎特性[J]. 浙江大学学报(工学版), 2022, 56(8): 1514-1522, 1559.

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.

链接本文:

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

图 1 人工模拟颗粒的制备流程

图 2 INSTRON5969万能材料试验机

图 3 多夹杆加载夹具

图 4 部分约束模式下颗粒的破碎形态

图 5 6-M1模式下颗粒的裂纹发展情况

图 6 3种典型破碎形式(物理试验)

图 7 FDEM模拟的圆球颗粒

图 8 四约束点颗粒约束模式的受力矩阵示意图

图 9 30粒椭球状堆石料颗粒破碎强度的Weibull分布

表 1 FDEM数值模型输入参数取值

图 10 FDEM数值试验的颗粒力-位移曲线

图 11 不同约束个数下的约束模式示意图

图 12 4-M1约束模式下颗粒加载过程的Mises应力云图

图 13 3种典型破碎形式(数值模拟)

图 14 不同约束个数下的颗粒破碎模式占比

图 15 颗粒破碎碎片数与奇异值的关系曲线

图 16 颗粒破碎过程中断裂耗散能与奇异值的关系曲线

图 17 不同约束个数下破碎碎片的体积累积分布

图 18 不同破碎形式下颗粒破碎峰值荷载

图 19 不同约束个数下颗粒破碎峰值荷载

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