基于FDM-DEM耦合的冲击损伤大理岩静态断裂力学特征研究

张涛; 蔚立元; 苏海健; 罗宁; 魏江波

doi:10.11883/bzycj-2021-0089

基于FDM-DEM耦合的冲击损伤大理岩静态断裂力学特征研究

doi: 10.11883/bzycj-2021-0089

张涛^1,,
蔚立元^1, ,,
苏海健¹,
罗宁¹,
魏江波²

1.
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
2.
西安科技大学地质与环境学院，西安陕西 710054

基金项目: 国家自然科学基金（51579239，42077240，12072363）

详细信息

作者简介:
张　涛（1994－　），男，博士研究生，TS17030057A3TM@cumt.edu.cn

通讯作者:
蔚立元（1982－　），男，博士，教授，yuliyuan@cumt.edu.cn

中图分类号: O346.1
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- 文章访问数: 457
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- 被引次数: 0
出版历程
- 收稿日期: 2021-03-16
- 修回日期: 2021-06-19
- 网络出版日期: 2021-10-29
- 刊出日期: 2022-01-20

Investigation on the static fracture mechanical characteristics of marble subjected to impact damage based on the FDM-DEM coupled simulation

1.
State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China
2.
College of Geology and Environment, Xi’an University of Science and Technology, Xi’an 710054, Shaanxi, China

摘要

摘要: 为探究循环冲击损伤后大理岩的静态断裂力学特征，基于有限差分（finite difference method，FDM）-离散元（discrete element method，DEM）耦合的建模技术构建了三维分离式霍普金森压杆（split Hopkinson pressure bar，SHPB）数值模型，其中杆件系统和岩石试件分别采用FLAC^3D和PFC^3D程序建模。利用该模型对中心直切槽半圆盘（NSCB）试样进行了恒定子弹速度下的循环冲击，随后对受损试样进行静态三点弯曲断裂实验。通过编写Fish程序，提取试样断裂面数据，对断裂面进行重构并定量计算表面粗糙度。通过与相关室内实验结果的对比分析，验证了本文数值分析的合理性与可靠性。模拟结果表明，随着循环冲击次数的增加，试样内部微裂纹、破碎颗粒均增加。连接力场分布混乱，部分力链发生断裂。力链的变化是试样力学性能劣化的根本原因。在静态三点弯曲断裂实验中，冲击5次后试样的静态断裂韧度较天然试样产生一定程度的降低。试样在静载过程中产生的微裂纹和碎块的数量随循环冲击次数的增加而增加，断裂面粗糙度随循环冲击次数的增加而增加。
- 岩石力学 /
- 有限差分-离散元耦合 /
- 霍普金森压杆 /
- 循环冲击 /
- 断裂韧度
Abstract: To investigate the mechanical characteristics of static fracture of marble subjected to dynamic damage after cyclic impacts, based on the modeling technology of the finite difference method (FDM) and the discrete element method (DEM) coupling, a three-dimensional numerical model of the split Hopkinson pressure bar (SHPB) was constructed, and the bar system and rock sample were modeled using FLAC^3D and PFC^3D programs, respectively. The numerical cyclic impact loading tests were carried out on notched semi-circular bend (NSCB) samples at a constant impact velocity, and then the static three-point bending fracture tests were simulated on these damaged samples. The coordinate data of the particles on fracture surfaces of the sample were extracted by compiling the Fish program, and then the fracture surface was reconstructed and the surface roughness was calculated quantitatively. The rationality and reliability of the numerical analysis were verified by comparison with the results of relevant laboratory tests. The results show that in the cyclic impact loading test, the stress-strain curve rebounds, resulting from the release of part of the stored strain energy during the unloading period. With the increase of the impact number n, the numbers of cracks and fragments generated increase. The connected force field becomes more and more chaotic and the number of broken force chains displays an increasing trend. The breakage of the force chains is the root cause of the deterioration of mechanical properties of the sample. The static fracture toughness of the sample after 5 times of impact is 53.35% lower than that of the natural sample, while the failure displacement increases. In the static loading process, more and more cracks and fragments generate as n increases. This is proof that the internal structure of the sample has been damaged in the cyclic impacts. The fracture surface roughness increases as the impact number increases. The research conclusions can provide certain guidance for the engineering practice.
- rock mechanics /
- FDM-DEM coupling /
- SHPB /
- cyclic impact /
- fracture toughness

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图 1 SHPB模拟系统

Figure 1. Simulation of the SHPB system

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图 2 模拟应力波

Figure 2. Stress waves obtained from the numerical simulation

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图 3 静态三点弯曲模拟实验

Figure 3. Simulation of the static three-point bending test

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图 4 天然大理岩试样实验与模拟结果比较^[18]

Figure 4. Comparison of the experimental and numerical results of the static three-point bending test of a natural marble sample^[18]

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图 5 应力波在杆件中的传播过程

Figure 5. Stress wave propagation in the bars

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图 6 循环冲击加载过程中应力波信号变化

Figure 6. Variation of the stress wave signals during the cyclic impact loading

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图 7 模拟动态应力-应变曲线

Figure 7. Dynamic stress-strain curves obtained from numerical simulations

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图 8 峰值应力实验值与模拟值比较^[18]

Figure 8. Comparison of the dynamic peak stress results obtained from experiments and numerical simulations^[18]

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图 9 动态损伤演变过程

Figure 9. Evolution process of the dynamic damage

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图 10 微裂纹及碎块数量随冲击次数的变化规律

Figure 10. Variation of the microcrack number and fragment number with the cyclic impact number

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图 11 循环冲击作用下试样接触力场演变过程

Figure 11. Evolution of the contact force field of a sample under cyclic impact loading

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图 12 受损大理岩的微观图像

Figure 12. Photomicrographs of the damaged marbles

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图 13 模拟静态荷载-位移曲线对比^[18]

Figure 13. Comparison of the static load-displacement curves obtained from experiments and numerical simulations^[18]

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图 14 断裂参数实验值和模拟值比较^[18]

Figure 14. Comparison of the fracture parameters obtained from experiments and numerical simulations^[18]

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图 15 模拟试样断裂破坏形态

Figure 15. Fracture and failure patterns of the simulated sample

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图 16 新增微裂纹及碎块数量随冲击次数的变化情况

Figure 16. Variation of the new microcrack and fragment number with the cyclic impact number

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图 17 模拟试样断裂面形貌

Figure 17. Topography of the fracture surface of the numerical sample

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图 18 断裂面粗糙度变化

Figure 18. Variation of the fracture surface roughness

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