静水压下白砂岩的动态力学性能研究

摘要/Abstract

摘要： 深部岩石在地下高地应力环境的动态力学性能对深部矿山工程的开展有重要影响,因此,其动态力学性能研究具有重要意义。本文以平顶山某煤矿下白砂岩为研究对象,利用三维霍普金森杆装置开展动态力学试验并采用 HJC本构模型的白砂岩进行三维霍普金森杆有限元仿真,研究静水压对白砂岩动态力学性能、能量吸收和损伤的影响。结果表明:白砂岩的峰值应力随着静水压的增加而增加,峰值应变随着静水压的增加而降低;静水压可抑制裂纹的扩展,增强白砂岩的强度;HJC本构模型可以较好地模拟白砂岩的损伤失效。预期结果可为深部岩石动态力学性能的研究提供参考,并为深部岩石工程的实施提供理论基础。

关键词: 三维霍普金森杆, 白砂岩, 静水压, 有限元仿真, HJC本构模型, 动态力学性能

Abstract: The dynamic mechanical properties of deep rock in high underground stress environment have an important influence on the development of deep mine engineering. Therefore, it is of great significance to study its dynamic mechanics. The effects of hydrostatic pressure on the dynamic mechanical properties, energy absorption and damage of white sandstone from a coal mine in Pingdingshan were investigated, using 3D Hopkinson bar experiments and finite element simulations based on the Holmquist-Johnson-Cook (HJC) constitutive model. The results show that as the hydrostatic pressure increases, the peak stress of white sandstone increases. Conversely, the peak strain decreases with the increase of hydrostatic pressure. Furthermore, the hydrostatic pressure can restrain the crack propagation and enhance the strength of white sandstone. Additionally, it was found that the HJC constitutive model can simulate the damage failure of white sandstone well. These expected results provide a valuable reference for the study of dynamic mechanical properties of deep rock and a theoretical basis for the implementation of deep rock engineering.

Key words: 3D Hopkinson bar, white sandstone, hydrostatic pressure, finite element simulation, HJC constitutive model, dynamic mechanical property

中图分类号:

TU45

吕绍品, 郑光, 郑宇轩, 聂宏, 周风华. 静水压下白砂岩的动态力学性能研究[J]. 硅酸盐通报, 2024, 43(2): 543-554.

LYU Shaopin, ZHENG Guang, ZHENG Yuxuan, NIE Hong, ZHOU Fenghua. Dynamic Mechanical Properties of White Sandstone under Hydrostatic Pressure[J]. BULLETIN OF THE CHINESE CERAMIC SOCIETY, 2024, 43(2): 543-554.

参考文献

[1] 王者超, 石伟川, 孔瑞, 等. 真三向应力作用下深部砂岩力学特性[J]. 东北大学学报(自然科学版), 2023, 44(5): 689-696.
WANG Z C, SHI W C, KONG R, et al. Mechanical properties of deep sandstone under true triaxial stress[J]. Journal of Northeastern University (Natural Science), 2023, 44(5): 689-696 (in Chinese).
[2] 夏开文, 王帅, 徐颖, 等. 深部岩石动力学实验研究进展[J]. 岩石力学与工程学报, 2021, 40(3): 448-475.
XIA K W, WANG S, XU Y, et al. Advances in experimental studies for deep rock dynamics[J]. Chinese Journal of Rock Mechanics and Engineering, 2021, 40(3): 448-475 (in Chinese).
[3] ZHANG Q B, ZHAO J. A review of dynamic experimental techniques and mechanical behaviour of rock materials[J]. Rock Mechanics and Rock Engineering, 2014, 47(4): 1411-1478.
[4] XIE H P, LU J, LI C B, et al. Experimental study on the mechanical and failure behaviors of deep rock subjected to true triaxial stress: a review[J]. International Journal of Mining Science and Technology, 2022, 32(5): 915-950.
[5] 谢和平, 高峰, 鞠杨. 深部岩体力学研究与探索[J]. 岩石力学与工程学报, 2015, 34(11): 2161-2178.
XIE H P, GAO F, JU Y. Research and development of rock mechanics in deep ground engineering[J]. Chinese Journal of Rock Mechanics and Engineering, 2015, 34(11): 2161-2178 (in Chinese).
[6] 宫凤强, 李夕兵, 刘希灵. 三维动静组合加载下岩石力学特性试验初探[J]. 岩石力学与工程学报, 2011, 30(6): 1179-1190.
GONG F Q, LI X B, LIU X L. Preliminary experimental study of characteristics of rock subjected to 3D coupled static and dynamic loads[J]. Chinese Journal of Rock Mechanics and Engineering, 2011, 30(6): 1179-1190 (in Chinese).
[7] MA S S, CHEN W Z, ZHAO W S. Effects of axial static stress and confining pressure on the dynamic compressive behaviours of granite[J]. European Journal of Environmental and Civil Engineering, 2021, 25(5): 795-812.
[8] 焦振华, 穆朝民, 王磊, 等. 被动围压下煤冲击压缩动态力学特性试验研究[J]. 振动与冲击, 2021, 40(21): 185-193.
JIAO Z H, MU C M, WANG L, et al. Tests for dynamic mechanical properties of coal impact compression under passive confining pressure[J]. Journal of Vibration and Shock, 2021, 40(21): 185-193 (in Chinese).
[9] 余永强, 余雳伟, 范利丹, 等. 三维动静组合加载下石灰岩力学特性研究[J]. 金属矿山, 2022(11): 84-91.
YU Y Q, YU L W, FAN L D, et al. Study on mechanical properties of limestone under three-dimensional static and dynamic combined loading[J]. Metal Mine, 2022(11): 84-91 (in Chinese).
[10] LIU K, ZHANG Q B, WU G, et al. Dynamic mechanical and fracture behaviour of sandstone under multiaxial loads using a triaxial Hopkinson bar[J]. Rock Mechanics and Rock Engineering, 2019, 52(7): 2175-2195.
[11] 沈荣喜, 顾周杰, 王恩元, 等. 真三轴条件下煤样冲击动力学及破坏特征实验研究[J]. 煤炭学报, 2023, 48(5): 2168-2178.
SHEN R X, GU Z J, WANG E Y, et al. Experimental study on impact dynamics and failure characteristics of coal specimen under true triaxial conditions[J]. Journal of China Coal Society, 2023, 48(5): 2168-2178 (in Chinese).
[12] 王文, 张世威, LIU K, 等. 真三轴动静组合加载饱水煤样动态强度特征研究[J]. 岩石力学与工程学报, 2019, 38(10): 2010-2020.
WANG W, ZHANG S W, LIU K, et al. Experimental study on dynamic strength characteristics of water-saturated coal under true triaxial static-dynamic combination loadings[J]. Chinese Journal of Rock Mechanics and Engineering, 2019, 38(10): 2010-2020 (in Chinese).
[13] ZHANG S W, WANG W, LIU K, et al. Dynamic behavior of coal under true triaxial prestressed by using a Hopkinson bar[J]. Arabian Journal of Geosciences, 2021, 14(20): 2094.
[14] 王军祥, 赵硕龙, 孙港, 等. 基于LS-DYNA的砂岩动静组合SHPB数值模拟[J]. 沈阳工业大学学报, 2023, 45(1): 97-105.
WANG J X, ZHAO S L, SUN G, et al. SHPB numerical simulation of sandstone static-dynamic combination based on LS-DYNA[J]. Journal of Shenyang University of Technology, 2023, 45(1): 97-105 (in Chinese).
[15] CHEN M D, XU S L, YUAN L Z, et al. Influence of stress state on dynamic behaviors of concrete under true triaxial confinements[J]. International Journal of Mechanical Sciences, 2023, 253: 108399.
[16] HU W R, LIU K, POTYONDY D O, et al. 3D continuum-discrete coupled modelling of triaxial Hopkinson bar tests on rock under multiaxial static-dynamic loads[J]. International Journal of Rock Mechanics and Mining Sciences, 2020, 134: 104448.
[17] YOU W, DAI F, LIU Y, et al. Investigation of the influence of intermediate principal stress on the dynamic responses of rocks subjected to true triaxial stress state[J]. International Journal of Mining Science and Technology, 2021, 31(5): 913-926.
[18] 方士正, 李炜煜, 杨阳, 等. 静水压状态下深部岩石动态压缩力学行为及能量耗散特征试验研究[J]. 振动与冲击, 2023, 42(6): 280-288.
FANG S Z, LI W Y, YANG Y, et al. Experimental study on the dynamic mechanical behavior and energy dissipation characteristics of deep rock under coupled impact loading and hydrostatic pre-stress[J]. Journal of Vibration and Shock, 2023, 42(6): 280-288 (in Chinese).
[19] 徐松林, 王鹏飞, 单俊芳, 等. 真三轴静载作用下混凝土的动态力学性能研究[J]. 振动与冲击, 2018, 37(15): 59-67.
XU S L, WANG P F, SHAN J F, et al. Dynamic behavior of concrete under static tri-axial loadings[J]. Journal of Vibration and Shock, 2018, 37(15): 59-67 (in Chinese).
[20] 王礼立. 应力波基础[M]. 2版. 北京: 国防工业出版社, 2005.
WANG L L. Stress wave foundation[M]. 2nd ed. Beijing: National Defense Industry Press, 2005 (in Chinese).
[21] 徐松林, 王鹏飞, 赵坚, 等. 基于三维Hopkinson杆的混凝土动态力学性能研究[J]. 爆炸与冲击, 2017, 37(2): 180-185.
XU S L, WANG P F, ZHAO J, et al. Dynamic behavior of concrete under static triaxial loading using 3D-Hopkinson bar[J]. Explosion and Shock Waves, 2017, 37(2): 180-185 (in Chinese).
[22] 胡健, 宫凤强, 贾航宇. SHPB压缩试验中红砂岩的力学与能量耗散特性研究[J]. 黄金科学技术, 2020, 28(3): 411-420.
HU J, GONG F Q, JIA H Y. Research on mechanical and energy dissipation characteristics of red sandstone in SHPB compression test[J]. Gold Science and Technology, 2020, 28(3): 411-420 (in Chinese).
[23] LUO Y, GONG H L, HUANG J H, et al. Dynamic cumulative damage characteristics of deep-buried granite from Shuangjiangkou hydropower station under true triaxial constraint[J]. International Journal of Impact Engineering, 2022, 165: 104215.
[24] 任根茂, 吴昊, 方秦, 等. 普通混凝土HJC本构模型参数确定[J]. 振动与冲击, 2016, 35(18): 9-16.
REN G M, WU H, FANG Q, et al. Determinations of HJC constitutive model parameters for normal strength concrete[J]. Journal of Vibration and Shock, 2016, 35(18): 9-16 (in Chinese).
[25] ZHU Q F, HUANG Z X, XIAO Q Q, et al. Theoretical considerations on cavity diameters and penetration depths of concrete materials generated by shaped charge jets using the targets response modes described by a modified HJC model[J]. International Journal of Impact Engineering, 2020, 138: 103439.
[26] 毕程程. 华山花岗岩HJC本构参数标定及爆破损伤数值模拟[D]. 合肥: 合肥工业大学, 2018.
BI C C. Calibration of HJC constitutive parameters of Huashan granite and numerical simulation of blasting damage[D]. Hefei: Hefei University of Technology, 2018 (in Chinese).
[27] HOLMQUIST T J, JOHNSON G R. A computational constitutive model for glass subjected to large strains, high strain rates and high pressures[J]. Journal of Applied Mechanics, 2011, 78(5): 1.
[28] 凌天龙, 吴帅峰, 刘殿书, 等. 砂岩Holmquist-Johnson-Cook模型参数确定[J]. 煤炭学报, 2018, 43(8): 2211-2216.
LING T L, WU S F, LIU D S, et al. Determination of Holmquist-Johnson-Cook model parameters for sandstone[J]. Journal of China Coal Society, 2018, 43(8): 2211-2216 (in Chinese).
[29] 陆杉, 巫绪涛. 冲击载荷下砂岩SHPB实验的有限元模拟[J]. 合肥工业大学学报(自然科学版), 2022, 45(11): 1517-1521.
LU S, WU X T. Finite element simulation of SHPB experiment of sandstone under impact load[J]. Journal of Hefei University of Technology (Natural Science), 2022, 45(11): 1517-1521 (in Chinese).
[30] 周喻, 邹世卓, 高永涛, 等. 动载下层状岩体力学特性试验与数值模拟[J]. 哈尔滨工业大学学报, 2023, 55(6): 93-109.
ZHOU Y, ZOU S Z, GAO Y T, et al. Test and numerical simulation for mechanical properties of laminated rock mass under dynamic loading[J]. Journal of Harbin Institute of Technology, 2023, 55(6): 93-109 (in Chinese).
[31] LUNDBERG B. A split Hopkinson bar study of energy absorption in dynamic rock fragmentation[J]. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1976, 13(6): 187-197.
[32] LIU K, ZHAO J. Progressive damage behaviours of triaxially confined rocks under multiple dynamic loads[J]. Rock Mechanics and Rock Engineering, 2021, 54(6): 3327-3358.