胶结充填体冲击破坏及损伤演化数值模拟研究

李祥龙; 李强; 王建国; 杨长辉; 陶子豪; 左庭; 赵泽虎

doi:10.15918/j.tbit1001-0645.2021.189

胶结充填体冲击破坏及损伤演化数值模拟研究

doi: 10.15918/j.tbit1001-0645.2021.189

李祥龙^{1, 2,},
李强¹,
王建国^{1, 2,*, ,},
杨长辉¹,
陶子豪¹,
左庭¹,
赵泽虎¹

1.
昆明理工大学国土资源工程学院, 云南, 昆明　650093
2.
云南省教育厅爆破新技术工程研究中心, 云南, 昆明　650093

基金项目: 国家自然科学基金重点资助项目（51934003）；国家自然科学基金地区基金资助项目（52064025）；云南省基础研究计划面上项目（202201AT070178）

详细信息

作者简介:
李祥龙（1981−），男，教授，博士生导师. E-mail：lxl00014002@163.com

通讯作者:
王建国（1987−），男，博士，讲师. E-mail：wangjg0831@163.com

中图分类号: TU45
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- 文章访问数: 57
- HTML全文浏览量: 69
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- 被引次数: 0
出版历程
- 收稿日期: 2021-07-07
- 录用日期: 2021-12-15
- 刊出日期: 2022-08-17

Numerical Simulation Research on Impact Failure and Damage Evolution of Cemented Backfill

LI Xianglong^{1, 2
,},
LI Qiang¹,
WANG Jianguo^{1, 2,*
, ,},
YANG Changhui¹,
TAO Zihao¹,
ZUO Ting¹,
ZHAO Zehu¹

1.
Faculty of Land Resources Engineering, Kunming University of Science and Technology, Kunming, Yunnan 650093, China
2.
New Blasting Technology Engineering Research Center of Yunnan Provincial Education Department, Kunming, Yunnan 650093, China

摘要

摘要: 为定量描述胶结充填体在动载作用下的损伤程度及破坏过程，利用数值模拟软件对胶结充填体进行SHPB动态冲击，并通过室内SHPB冲击试验结果验证数值模拟方法的可行性. 对不同冲击速度（1.5 ，1.7 ，1.8 ，2.0 m/s）条件下4种配比胶结充填体（灰砂质量比分别为1∶4, 1∶6, 1∶8, 1∶10），采用微裂纹密度法定义损伤变量值d，进行损伤规律及破坏过程的数值模拟研究. 结果表明：数值模拟中使用波形整形器可获得更加理想的矩形波，使试件同一平面单元所受应力均匀，无应力集中现象；数值模拟结果很好地展现了胶结充填体的动态破坏过程，其整体破坏趋势为边缘发生剥落后裂纹向内部延伸与贯穿；在加载速度从1.7 m/s增加至1.8 m/s的过程中，损伤变量增大幅度超过10％；冲击速度由1.5 m/s增加至2.0 m/s的过程中，灰砂质量比为1∶4, 1∶6, 1∶8和1∶10的胶结充填体的损伤变量d变化范围分别为0.238～0.336，0.274～0.413，0.391～0.547，0.473～0.617，灰砂质量比1∶6变化至1∶8时，出现明显的损伤“跃升”现象.
- SHPB实验数值模拟 /
- 动态加载 /
- 胶结充填体 /
- 动态破碎过程 /
- 损伤演化
Abstract: In order to quantitatively describe the damage degree and failure process of the cemented backfill under dynamic load, numerical simulation software was used to perform SHPB dynamic impact on the cemented backfill, and the feasibility of the numerical simulation method was verified by the indoor SHPB impact test results. For 4 kinds of cemented fillings (with cement-sand mass ratios of 1∶4, 1∶6, 1∶8 and 1∶10 respectively) made under different impact speeds (1.5, 1.7, 1.8, and 2.0 m/s), the micro-crack density method was used to define the damage variable value d, and a numerical simulation study of the damage law and the failure process was conducted. The results are as follows. The wave shaper can be used in the numerical simulation to obtain a more ideal rectangle wave, making the stress on the same plane element of the specimen uniform without stress concentration. The numerical simulation results show the dynamic failure process of the cemented filling body, and the overall failure trend is that the edge peels off and the crack extends to the inside. In the process of increasing the loading speed from 1.7 m/s to 1.8 m/s, the damage variable increases by more than 10%; during the process of increasing the impact speed from 1.5 m/s to 2.0 m/s, the variation ranges of the damage variable d of the cemented filling body with the cement-sand mass ratios of 1∶4, 1∶6, 1∶8 and 1∶10 are 0.238～0.336, 0.274～0.413, 0.391～0.547, and 0.473～0.617, respectively. When the lime-to-sand ratio changes from 1:6 to 1:8, the damage “jumps” remarkably.
- SHPB experimental numerical simulation /
- dynamic loading /
- cementing backfill /
- dynamic crushing process /
- damage evolution

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图 1 尾砂粒径分布曲线

Figure 1. Distribution curve of tailings particle size

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图 2 试件样本图

Figure 2. Sample diagram

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图 3 SHPB试验系统示意图

Figure 3. The schematic diagram of SHPB's compression apparatus

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图 4 系统宏观模型与网格划分

Figure 4. System macro model and meshing

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图 5 波形整形器放大图

Figure 5. Magnified view of wave shaper

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图 6 波形整形器效果图

Figure 6. Wave shaper rendering

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图 7 应力监测点

Figure 7. Stress monitoring point

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图 8 应力时程曲线

Figure 8. Stress time history curve

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图 9 子弹速度为1.7 m/s时应力应变曲线对比图

Figure 9. Comparison of stress-strain curves when the bullet velocity is 1.7 m/s

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图 10 胶结充填体破碎形态对比图

Figure 10. Comparison chart of crushed forms of cemented backfill

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图 11 灰砂质量比1∶4胶结充填体破坏过程

Figure 11. Failure process of cemented backfill with 1∶4 mass ratio of cement to sand

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图 12 损伤变量曲线图

Figure 12. Damage variable graph

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表 1 胶结充填体基本物理力学参数

Table 1. Basic physical and mechanical parameters of cemented backfill

配比	平均密度ρ/（kg·m⁻³）	单轴抗压强度f_c/MPa	抗拉强度T/MPa	弹性模量E/GPa	泊松比v
1∶4	1 715.7	3.63	0.357	0.632	0.20
1∶6	1 708.1	3.25	0.311	0.506	0.18
1∶8	1 696.9	1.92	0.205	0.474	0.16
1∶10	1 681.4	1.41	0.154	0.469	0.12
注：为了避免实验误差及偶然性，每种配比试件参数取平均值

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表 2 胶结充填体HJC模型参数

Table 2. HJC model parameters of cemented backfill

R₀/(g·m⁻³)	G/GPa	T/MPa	f_c/MPa	C	ESPO	A	B	N	S_FMAX
1.716	320	0.357	3.630	0.010	10⁻⁶	0.350	0.850	0.610	7.000

p_l/GPa	p_c/MPa	μ_l	μ_c	K₁/GPa	K₂/GPa	K₃/GPa	D₁	D₂	E_FIMN	F_s
0.100	1.210	0.140	0.014	8.500	−17	20.80	0.040	1.000	0.010	0.004

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表 3 动态冲击下胶结充填体损伤变量

Table 3. Damage variable of cemented backfill under dynamic impact

编号	灰砂质量比	v/(m·s⁻¹)	V/(10⁻⁶m³)	d

1	1∶4	2.00	13.4	0.336
2		1.80	13.7	0.317
3		1.70	14.6	0.274
4		1.50	15.3	0.238

5	1∶6	2.00	11.8	0.413
6		1.80	12.6	0.374
7		1.70	13.5	0.331
8		1.50	14.6	0.274

9	1∶8	2.00	9.11	0.547
10		1.80	10.6	0.474
11		1.70	11.4	0.433
12		1.50	12.2	0.391

13	1∶10	2.00	7.69	0.617
14		1.80	8.60	0.571
15		1.70	9.81	0.514
16		1.50	10.60	0.473

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