(1. Key Laboratory of Geological Hazards on Three Gorges Reservoir Area,Ministry of Education,China Three Gorges University,Yichang,Hubei 443002,China;2. Suihua University,Suihua,Heilongjiang 152001,China;
3. State Key Laboratory of Disaster Prevention and Mitigation of Explosion and Impact,
The Army Engineering University of PLA,Nanjing,Jiangsu 210007,China)
Abstract:In order to study the dynamic progressive failure characteristics and crack propagation mechanisms of pre-fabricated flaw sandstone,the impact compression tests were conducted on sandstone specimens with pre-fabricated double flaws using the split Hopkinson pressure bar(SHPB) device. The real-time monitoring of crack propagation and dynamic failure processes was carried out using digital image correlation(DIC) technology. An analysis of the strength characteristics and failure modes under different flaw angles was performed to reveal the corresponding crack strain evolution mechanisms. The results show that:(1) the crack initiation load,determined by capturing the surface crack whitening,ranges from 70% to 83% of the peak load,with both peak and initiation loads exhibiting a“U”-shaped trend,initially decreasing and then increasing with the flaw angle. (2) The energy dissipation rate,inferred from the number of fragments,shows a significant positive correlation with the degree of fragmentation,with the lowest and highest energy dissipation rates observed in the 45° and 90° specimens,respectively. (3) During crack propagation,tensile cracks generally form prior to shear cracks. The former are distributed along the direction of the applied load,while the latter appear within an angular range of approximately 50° to 130° relative to the load direction. Specimens with different flaw angles exhibit three primary failure modes:“一”-shaped tensile splitting failure,“X”-shaped tensile-shear mixed failure,and“spindle”and“X”-shaped composite failure,involving six distinct crack aggregation forms. (4) The progressive failure process under impact loading is divided into three stages:elastic deformation,yield deformation,and macroscopic failure. The failure process is primarily determined by the strain concentration factor( ) at the crack tip and the crack initiation time. The slope mean square index(K) of the curve provides a theoretical basis for evaluating the dynamic damage rate of fractured rock masses.
[1] LI D Y,HAN Z Y,SUN X L,et al. Dynamic mechanical properties and fracturing behavior of marble specimens containing single and double flaws in SHPB tests[J]. Rock Mechanics and Rock Engineering,2019,52(4):1 623–1 643.
[2] LI X B,ZHOU T,LI D Y. Dynamic strength and fracturing behavior of single-flawed prismatic marble specimens under impact loading with a split-Hopkinson pressure bar[J]. Rock Mechanics and Rock Engineering,2017,50(4):29–44.
[3] 王子航,陈俊智,冯豪天. 直剪条件下含裂隙岩石变形特征研究[J]. 有色金属(矿山部分),2023,75(5):127–133.(WANG Zihang,CHEN Junzhi,FENG Haotian. Study on deformation characteristics of flaws rock under direct shear condition[J]. Nonferrous Metals(Mining Section),2023,75(5):127–133.(in Chinese))
[4] CAO R H,CAO P,LIN H,et al. Failure characteristics of intermittent fissures under a compressive-shear test: experimental and numerical analyses[J]. Theoretical and Applied Fracture Mechanics,2018,96:740–757.
[5] 杨 超,王 娇,董星辰,等. 不同岩桥角度双裂隙砂岩单轴蠕变试验及三维数值模拟[J]. 岩石力学与工程学报,2023,42(10): 2 466–2 477.(YANG Chao,WANG Jiao,DONG Xingchen,et al. Uniaxial creep test and three-dimensional numerical simulation of double flawed sandstone with different rock bridge angles[J]. Chinese Journal of Rock Mechanics and Engineering,2023,42(10):2 466–2 477.(in Chinese))
[6] YANG S Q,TIAN W L,RANJITH P G,et al. Three-dimensional failure behavior and cracking mechanism of rectangular solid sandstone containing a single fissure under triaxial compression[J]. Rock Mechanics Bulletin,2022,1(1):100 008–100 031.
[7] 蒋明镜,张 宁,申志福,等. 含裂隙岩体单轴压缩裂纹扩展机制离散元分析[J]. 岩土力学,2015,36(11):3 293–3 300.(JIANG Mingjing,ZHANG Ning,SHEN Zhifu,et al. DEM analyses of crack propagation in flawed rock mass under uniaxial compression[J]. Rock and Soil Mechanics,2015,36(11):3 293–3 300.(in Chinese))
[8] 张 波,李术才,杨学英,等. 含交叉裂隙岩体相似材料试件力学性能单轴压缩试验[J]. 岩土力学,2012,33(12):3 674–3 679. (ZHANG Bo,LI Shucai,YANG Xueying,et al. Uniaxial compression tests on mechanical properties of rock mass similar material with cross-cracks [J]. Rock and Soil Mechanics,2012,33(12):3 674–3 679.(in Chinese))
[9] 李玉成,孙浩程,房 媛,等. 含平行裂隙节理岩体的破坏规律研究[J]. 水资源与水工程学报,2019,30(5):215–220.(LI Yucheng,SUN Haocheng,FANG Yuan,et al. Study on failure law of jointed rock with parallel-cracks[J]. Journal of Water Resources and Water Engineering,2019,30(5):215–220.(in Chinese))
[10] 董晋鹏,杨圣奇,李 斌,等. 共面双裂隙类岩石材料抗拉强度试验研究[J]. 工程力学,2020,37(3):188–201.(DONG Jinpeng,YANG Shengqi,LI Bin,et al. Experimental study on the tensile strength of rock-like materials containing two pre-existing coplanar fissures[J]. Engineering Mechanics,2020,37(3):188–201.(in Chinese))
[11] 张 波,杨学英,李术才,等. 含2组叠置X型裂隙类岩石材料单轴拉伸破坏特征[J]. 煤炭学报,2017,42(8):1 987–1 993.(ZHANG Bo,YANG Xueying,LI Shucai,et al. Uniaxial tensile failure properties of rock-like specimens with two overlapped X-type flaws[J]. Journal of China Coal Society,2017,42(8):1 987–1 993.(in Chinese))
[12] SHAN R L,BAI Y,JU Y,et al. Study on the triaxial unloading creep mechanical properties and damage constitutive model of red sandstone containing a single ice-filled flaw[J]. Rock Mechanics and Rock Engineering,2021,54(5):833–855.
[13] HUANG Y H,YANG S Q,TIAN W L. Crack coalescence behavior of sandstone specimen containing two pre-existing flaws under different confining pressures[J]. Theoretical and Applied Fracture Mechanics,2019,99:118–130.
[14] 李兆霖,周 伟,王连国,等. 含随机裂隙岩石真三轴破裂演化数值模拟[J]. 中国矿业大学学报,2023,52(1):43–51.(LI Zhaolin,ZHOU Wei,WANG Lianguo,et al. Numerical simulation of true triaxial fracture evolution of rocks with random fracture[J]. Journal of China University of Mining and Technology,2023,52(1):43–51.(in Chinese))
[15] 陈 祥,肖桃李,折海成. 三轴压缩条件下单裂隙岩样裂隙扩展研究[J]. 科学技术与工程,2022,22(26):11 567–11 576.(CHEN Xiang,XIAO Taoli,SHE Haicheng. Triaxial compression condition order fracture rock fissure extension study[J]. Science Technology and Engineering,2022,22(26):11 567–11 576.(in Chinese))
[16] 罗丹旎,卢思航,苏国韶,等. 含预制单裂隙花岗岩的真三轴单面临空岩爆试验研究[J]. 岩土力学,2023,44(1):75–87.(LUO Danni,LU Sihang,SU Guoshao,et al. Experimental study on rock burst of granite with prefabricated single crack under true-triaxial stress condition with a free face[J]. Rock and Soil Mechanics,2023,44(1):75–87.(in Chinese))
[17] FAN W B,ZHANG J W,NIU W M,et al. Study on dynamic loading characteristics and energy evolution of sandstone with double cracks[J]. Theoretical and Applied Fracture Mechanics,2023,125:103 893–103 909.
[18] 平 琦,孙施佳,高 祺. 饱水裂隙砂岩动态力学特性与裂纹扩展规律研究[J]. 岩石力学与工程学报,2024,43(增1):3 131–3 139. (PING Qi,SUN Shijia,GAO Qi,et al. Study on dynamic mechanical properties and crack extension law of water saturated fractured and stone[J]. Chinese Journal of Rock Mechanics and Engineering,2024,43(Supp.1):3 131–3 139.(in Chinese))
[19] 闻 磊,冯文杰,李明烨,等. 应变率对含裂隙红砂岩裂纹扩展模式及破碎特征的影响[J]. 爆炸与冲击,2023,43(11):1–20.(WEN Lei,FENG Wenjie,LI Mingye,et al. Strain rate effect on crack propagation and fragmentation characteristics of red sandstone containing pre-cracks[J]. Explosion and Shock Waves,2023,43(11):1–20.(in Chinese))
[20] 李成杰,徐 颖,张宇婷. 冲击荷载下裂隙类煤岩组合体能量演化与分形特征研究[J]. 岩石力学与工程学报,2019,38(11):2 231–2 241.(LI Chengjie,XU Ying,ZHANG Yuting,et al. Study on energy evolution and fractal characteristics of cracked coal-rock-like combined body under impact loading[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(11):2 231–2 241.(in Chinese))
[21] 王奇智,吴帮标,刘 丰,等. 预制裂隙类岩石材料板动态压缩破坏试验研究[J]. 岩石力学与工程学报,2018,37(11):2 489–2 497. (WANG Qizhi,WU Bangbiao,LIU Feng,et al. Dynamic failure of manufactured similar rock plate containing a single fissure[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(11):2 489–2 497.(in Chinese))
[22] 李地元,韩震宇,孙小磊. 含预制裂隙大理岩SHPB动态力学破坏特性试验研究[J]. 岩石力学与工程学报,2017,36(12):2 872–2 883. (LI Diyuan,HAN Zhenyu,SUN Xiaolei. Characteristics of dynamic failure of marble with artificial flaws under split Hopkinson pressure bar tests[J]. Chinese Journal of Rock Mechanics and Engineering,2017,36(12):2 872–2 883.(in Chinese))
[23] 武 旭,方 慧,潘继良. 不同倾角裂隙混凝土试件动态力学破坏特性试验研究[J]. 振动与冲击,2024,43(4):142–149.(WU Xu,FANG Hui,PAN Jiliang. Experimental study on dynamic mechanical failure characteristics of concrete specimens with cracks of different angles[J]. Journal of Vibration and Shock,2024,43(4):142–149.(in Chinese))
[24] 赵毅鑫,肖 汉,黄亚琼. 霍普金森杆冲击加载煤样巴西圆盘劈裂试验研究[J]. 煤炭学报,2014,39(2):286–291.(ZHAO Yixin,XIAO Han,HUANG Yaqiong. Dynamic split tensile test of Brazilian disc of coal with split Hopkinson pressure bar loading[J]. Journal of China Coal Society,2014,39(2):286–291.(in Chinese))
[25] HATHEWAY A W. The complete ISRM suggested methods for rock characterization,testing and monitoring,1974–2006[J]. Environmental and Engineering Geoscience,2009,15(1):47–48.
[26] ZHOU X P,YI M H,ZHOU J N. Experimental study on the progressive failure of double-flawed granite samples subjected to impact loads[J]. Fatigue and Fracture of Engineering Materials and Structures,2022,45(3):653–670.
[27] LI Y P,CHEN L Z,WANG Y H. Experimental research on pre-cracked marble under compression[J]. International Journal of Solids and Structures,2005,42(9/10):2 505–2 516.
[28] 平 琦,马芹永,袁 璞. 岩石试件SHPB劈裂拉伸试验中能量耗散分析[J]. 采矿与安全工程学报,2013,30(3):401–407.(PING Qi,MA Qinyong,YUAN Pu. Energy dissipation analysis of stone specimens in SHPB tensile test[J]. Journal of Mining and Safety Engineering,2013,30(3):401–407.(in Chinese))
[29] NICKSIAR M,MARTIN C D. Crack initiation stress in low porosity crystalline and sedimentary rocks[J]. Engineering Geology,2013,154:64–76.
[30] 杨仁树,李炜煜,方士正,等. 层状复合岩体冲击动力学特性试验研究[J]. 岩石力学与工程学报,2019,38(9):1 747–1 757.(YANG Renshu,LI Weiyu,FANG Shizheng,et al. Experimental study on impact dynamic characteristics of layered composite rocks[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(9):1 747– 1 757.(in Chinese))
[31] YANG S Q,JING H W. Strength failure and crack coalescence behavior of brittle sandstone samples containing a single fissure under uniaxial compression[J]. International Journal of Fracture,2011,168(2): 227–250.
[32] 张 超,杨楚卿,白 允. 岩石类脆性材料损伤演化分析及其模型方法研究[J]. 岩土力学,2021,42(9):2 344–2 354.(ZHANG Chao,YANG Chuqing,BAI Yun. Investigation of damage evolution and its model of rock-like brittle materials[J]. Rock and Soil Mechanics,2021,42(9):2 344–2 354.(in Chinese))
[33] ZHANG J Z,ZHOU X P. Forecasting catastrophic rupture in brittle rocks using precursory AE time series[J]. Journal of Geophysical Research:Solid Earth,2020,125(8):1–20.