堆石料颗粒的延迟破碎时间研究

迟世春; 王腾腾; 贾宇峰

doi:10.11779/CJGE20230074

堆石料颗粒的延迟破碎时间研究 English Version

迟世春^{1, 2,},
王腾腾^{1, 2},
贾宇峰^{1, 2, ,}

1.
大连理工大学海岸与近海工程国家重点实验室, 辽宁大连 116024
2.
大连理工大学建设工程学院工程抗震研究所, 辽宁大连 116024

基金项目:

国家自然科学基金面上项目 52379116

详细信息

作者简介:
迟世春(1964—)，男，教授，博士生导师，主要从事堆石料工程特性及本构关系方面的研究工作。E-mail：schchi@dlut.edu.cn

通讯作者:
贾宇峰, E-mail: jiayf130@dlut.edu.cn

中图分类号: TU43
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出版历程
- 收稿日期: 2023-02-02
- 网络出版日期: 2024-06-04
- 刊出日期: 2024-11-30

Delayed crushing time for particles of rockfill materials

CHI Shichun^{1, 2,},
WANG Tengteng^{1, 2},
JIA Yufeng^{1, 2, ,}

1.
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China
2.
Institute of Earthquake Engineering, School of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China

摘要

摘要: 堆石料颗粒的延迟破碎是指颗粒受力一定时间后发生的破碎。给出颗粒延迟破碎时间是采用离散元法模拟堆石料流变进行定量分析的前提。从断裂力学出发，将颗粒内部缺陷概化为一币形裂纹，给出了颗粒瞬时破碎强度与裂纹半长的关系。将颗粒瞬时强度作为随机变量，采用Logistic函数描述其分布，并运用求解随机变量函数概率分布的方法，求出裂纹半长的概率分布。然后将颗粒岩石加工成板试样，通过双扭松弛试验，测量其亚临界裂纹扩展速度。在此基础上对颗粒裂纹扩展方程进行积分，得到裂纹贯通（即颗粒延迟破碎）的时间表达式。以裂纹半长为随机变量，求出颗粒延迟破碎时间的概率分布。云南红石岩堰塞坝工程白云岩颗粒的分析结果表明，在相同应力水平下，大颗粒延迟破碎时间长且离散性大，小颗粒延迟破碎时间短且离散性小。这与堆石料室内流变试验稳定快而现场堆石坝流变持续时间长的宏观现象相吻合。颗粒延迟破碎时间的给出为采用离散元模拟堆石料流变，提升堆石料流变本构模型，解决堆石料室内流变试验的时间尺寸效应奠定了基础。
- 堆石料 /
- 流变变形 /
- 颗粒延迟破碎时间
Abstract: The delayed crushing of rockfill particles is specifically referring to the crushing of particles after loading for a certain period time, which is the basis for the rheological deformation calculation using the discrete element method (DEM). Based on the fracture mechanics, the internal defects of particles are generalized into a coin-shaped crack, and the relationship between the instantaneous crushing strength of particles and the half-length of the crack is developed. The Logistic function is used to describe the distribution of particle strength as a random variable, and the probability distribution of half-length of crack is obtained by using the method of solving the probability distribution of random variable function. The rockfill particle is processed into a plate specimen, and its sub-critical crack propagation velocity is measured using a bi-torsional relaxation test. On this basis, the formula for crack propagation of particles is integrated to obtain the time expression for crack penetration (i.e. delayed particle crushing). The probability distribution of delayed crushing time of particles can be calculated using the half-length of the crack as a random variable. The results of dolomite particles in Hongshiyan landslide dam in Yunnan Province show that under the same stress level, large particles have long delayed crushing time and large standard deviation, while small particles have short delayed crushing time and small standard deviation. This is consistent with the macro-phenomenon that the rheological deformation of rockfill materials converges quickly in laboratory tests, while the rheological deformation of rockfill dam lasts a long time in field. The development of delayed crushing time of particles provides conditions for simulating the rheological behaviors of rockfill using the DEM, improving the rheological constitutive model for rockfill materials, and solving the time size-effects of rockfill rheology for laboratory tests.
- rockfill material /
- rheological deformation /
- delayed crushing time of particle

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图 1 各粒组瞬时强度的Logistic分布图

Figure 1. Logistic distribution of instantaneous strength for various grain groups

下载: 全尺寸图片幻灯片

图 2 双扭试验装置及双扭试样受力示意图

Figure 2. Schematic diagram of device and specimen loading of double-torsion tests

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图 3 双扭松弛试验及其试验曲线

Figure 3. Double-torsion relaxation tests and test curves

下载: 全尺寸图片幻灯片

图 4 lgV与lgK_I数据及拟合曲线

Figure 4. Data of lgV versus lgK_I and fitting curves

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图 5 白云岩颗粒内部虚拟裂纹初始半长的分布函数

Figure 5. Half-length distribution of initial virtual crack of dolomite particles

下载: 全尺寸图片幻灯片

图 6 不同应力水平下各粒组白云岩延迟破碎时间预测

Figure 6. Prediction of delayed crushing time of various dolomite particle groups under different stress levels

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图 7 白云岩颗粒参数的尺寸相关性曲线

Figure 7. Size correlation curves of parameters of dolomite particles

下载: 全尺寸图片幻灯片

表 1 各粒组瞬时强度Logistic分布参数

Table 1 Logistic distribution parameters of instantaneous strength for various grain groups

粒组/mm	20~24	24~28	28~32	32~36	36~40	40~44	44~48	48~52	52~56	56~60	120	180	240	300
σ₅₀/MPa	8.55	7.82	7.69	7.53	7.20	7.15	6.99	6.80	6.44	5.94	5.12	4.53	4.27	4.05
S	5.09	6.55	6.07	4.62	4.47	4.17	4.24	4.57	5.13	3.70	4.18	4.26	3.89	7.61
R²	0.983	0.989	0.991	0.984	0.991	0.995	0.99	0.990	0.985	0.979	0.981	0.979	0.984	0.989

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表 2 亚临界裂纹扩展参数及断裂韧度

Table 2 Subcritical crack parameters and fracture toughnesses

编号	A	n	编号	K_IC/(MN·m^-3/2)
DT-1	5.50×10^-11	66.82	DT-6	1.25
DT-2	5.13×10^-10	57.09	DT-7	1.20
DT-3	1.12×10^-12	56.71	DT-8	1.18
DT-4	1.10×10^-10	45.35	DT-9	1.21
DT-5	2.19×10^-10	60.48	DT-10	1.17
均值	1.8×10^-10	57.29±6.98	均值	1.20±0.028

下载: 导出CSV

表 3 参数的尺寸相关性模型

Table 3 Models for size correlation of parameters

参数名称	经验模型	R²	300 mm粒径颗粒预测误差/%
裂纹半长/mm	${a_0} = 0.24\overline d + 0.58$	0.99	1.4
延迟破碎时间/h	${t_ \text{f}} = 1.29{\overline d ^{0.6}}$	0.98	3.5

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