Mechanical characteristics response of rock-like specimens with varying numbers of embedded open fractures under cyclic disturbance loading
JIANG Lishuai1, 2, WU Qi2, WEN Zhijie3*, WANG Qingbiao4, WANG Jun4, ZHAO Yang1, 2
(1. State Key Laboratory of Disaster Prevention and Ecology Protection in Open-pit Coal Mines, Shandong University of Science and Technology, Qingdao, Shandong 266590, China; 2. Shandong Key Laboratory of Intelligent Prevention and Control of Dynamic Disaster in Deep Mines, Shandong University of Science and Technology, Qingdao, Shandong 266590, China; 3. Mining College, Guizhou University, Guiyang, Guizhou 550025, China; 4. School of Civil Engineering, Shandong Ji?anzhu University, Ji?nan, Shandong 250101, China)
Abstract:Deep underground roadways with surrounding rock that has developed embedded fractures are susceptible to deterioration under frequent and intense dynamic loads, resulting in engineering disasters. To investigate the influence of randomly distributed embedded open fractures on the mechanical characteristics and damage evolution of rock masses under dynamic loading, this study prepared rock-like specimens with varying numbers of randomly distributed embedded open fractures using sand-powder 3D printing technology. Cyclic disturbance loading tests were conducted, and acoustic emission (AE) monitoring technology was employed to analyze the differences in strength and deformation characteristics, AE behaviors, failure behaviors, and energy characteristics of the rock-like specimens with varying numbers of fractures. The damage evolution characteristics of the different specimens were analyzed based on dissipative energy density and AE energy. The results indicate that: (1) The strength of specimens with varying numbers of embedded fractures varies significantly and shows a negative correlation with the number of fractures. The deterioration performance of different specimens during the dynamic load segment differs, with both the average decline rate of the loading modulus and the average growth rate of cumulative irreversible deformation negatively correlated with the number of fractures. (2) Specimens consistently exhibit intensified damage characteristics during the dynamic load segment. The presence of embedded fractures increases the proportion of shear-type cracks, and a higher number of fractures leads to an earlier onset of macroscopic failure. Moreover, the failure paths and final failure modes are significantly influenced by the number of fractures. (3) The average energy dissipation rate during the dynamic load segment exhibits a positive correlation with the number of fractures. Both the proportion of damage during the dynamic load segment and the average damage rate show positive correlations with the number of fractures. The research findings can provide a reference for conducting mechanical tests on fractured rock masses using sand-powder 3D printing technology and serve as a foundational basis for the stability control of engineering fractured rock masses.
[1] 谢和平,张 茹,张泽天,等. 深地科学与深地工程技术探索与思考[J]. 煤炭学报,2023,48(11):3 959–3 978.(XIE Heping,ZHANG Ru,ZHANG Zetian,et al. Eflections and explorations on deep earth science and deep earth engineering technology[J]. Journal of China Coal Society,2023,48(11):3 959–3 978.(in Chinese))
[2] 何满潮,武毅艺,高玉兵,等. 深部采矿岩石力学进展[J]. 煤炭学报,2024,49(1):75–99.(HE Manchao,WU Yiyi,GAO Yubing,et al. Research progress of rock mechanics in deep mining[J]. Journal of China Coal Society,2024,49(1):75–99.(in Chinese))
[3] 李杨杨,侯嘉琦,张士川,等. 不同倾角穿层裂隙组合岩石力学性能及破坏特征研究[J]. 山东科技大学学报:自然科学版,2025,44(1):18–27.(LI Yangyang,HOU Jiaqi,ZHANG Shichuan,et al. Study on mechanical properties and failure characteristics of cross-layer fracture composite rock with different dip angles[J]. Journal of Shandong University of Science and Technology:Natural Science,2025,44(1):18–27.(in Chinese))
[4] 刘学伟,王 赛,刘 滨,等. 不同注浆材料填充双裂隙类岩石试样力学特性研究[J]. 岩石力学与工程学报,2024,43(3):623–638. (LIU Xuewei,WANG Sai,LIU Bin,et al. Effect of filling grouting material on mechanical properties and mechanism of rock-like samples with double-crack[J]. Chinese Journal of Rock Mechanics and Engineering,2024,43(3):623–638.(in Chinese))
[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):2 161–2 178.(XIE Heping,GAO Feng,JU Yang,et al. Research and development of rock mechanics in deep ground engineering[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(11):2 161–2 178.(in Chinese))
[6] 齐庆新,潘一山,李海涛,等. 煤矿深部开采煤岩动力灾害防控理论基础与关键技术[J]. 煤炭学报,2020,45(5):1 567–1 584.(QI Qingxin,PAN Yishan,LI Haitao,et al. Theoretical basis and key technology of prevention and control of coal-rock dynamic disasters in deep coal mining[J]. Journal of China Coal Society,2020,45(5):1 567–1 584.(in Chinese))
[7] 郎 丁,张子鑫,伍永平,等. 基于煤样主控裂隙尺度筛选的等效DFN模型构建[J]. 煤炭科学术,2025,53(3):435–449.(LANG Ding,ZHANG Zixin,WU Yongping,et al. Construction of equivalent DFN model based on screening of main control fracture scale of coal samples[J]. Coal Science and Technology,2025,53(3):435–449.(in Chinese))
[8] HAN Z Y,LI J J,WANG H J,et al. Initiation and propagation of a single internal 3D crack in brittle material under dynamic loads[J]. Engineering Fracture Mechanics,2023,285.
[9] 朱珍德,林恒星,孙亚霖. 透明类岩石内置三维裂纹扩展变形试验研究[J]. 岩土力学,2016,37(4):913–921.(ZHU Zhende,LIN Hengxing,SUN Yalin. An experimental study of internal 3D crack propagation and coalescence in transparent rock[J]. Rock and Soil Mechanics,2016,37(4):913–921.(in Chinese))
[10] 蒋力帅,杨一鸣,赵 阳,等. 动载下含内部裂隙类岩体力学响应与能量耗散规律[J]. 煤炭科学技术,2025,53(2):137–150.(JIANG Lishuai,YANG Yiming,ZHAO Yang,et al. Mechanical response and energy dissipation law of rock-like mass with internal fractures under dynamic load[J]. Coal Science and Technology,2025,53(2):137–150.(in Chinese))
[11] DYSKIN A V,JEWELL R J,JOER H,et al. Experiments on 3-D crack growth in uniaxial compression[J]. International Journal of Fracture,1994,65(4):R77–R83.
[12] 李术才,李廷春,王 刚,等. 单轴压缩作用下内置裂隙扩展的CT扫描试验[J]. 岩石力学与工程学报,2007,26(3):484–492.(LI Shucai,LI Yanchun,WANG Gang,et al. CT real-time scanning tests on rock specimens with artificial initial crack under uniaxial conditions[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(3):484–492.(in Chinese))
[13] SHI C,ZHANG C H,JIN C,et al. Experimental study and numerical simulation of propagation and coalescence processes of pre-existing flaws in a transparent rock-like material[J]. Advances in Mechanical Engineering,2019,11(5):863–888.
[14] WANG X,JIANG L,LI Y,et al. Experimental study on the mechanical behavior and failure characteristics of rock analogs with filled internal fractures: A new method by sand powder 3D printing[J]. Construction and Building Materials,2024,427(3):36261.
[15] 刘学生,范德源,谭云亮,等. 深部动载作用下超大断面硐室群锚固围岩破坏失稳机制研究[J]. 岩土力学,2021,42(12):3 407–3 418. (LIU Xuesheng,FAN Deyuan,TAN Yunliang,et al. Failure and instability mechanism of anchored surrounding rock for deep chamber group with super-large section under dynamic disturbances[J]. Rock and Soil Mechanics,2021,42(12):3 407–3 418.(in Chinese))
[16] LI N,CHEN W,ZHANG P,et al. The mechanical properties and a fatigue-damage model for jointed rock masses subjected to dynamic cyclical loading[J]. International Journal of Rock Mechanics and Mining Sciences,2001,38(7):1 071–1 079.
[17] 张 平,李 宁,贺若兰,等. 动载下3条断续裂隙岩样的裂缝贯通机制[J]. 岩土力学,2006,27(9):1 457–1 464.(ZHANG Ping,LI Ning,HE Ruolan,et al. Fracture coalescence mechanism of three-intermittent-flaws rock specimen under dynamic loading[J]. Rock and Soil Mechanics,2006,27(9):1 457–1 464.(in Chinese))
[18] 唐劲舟,唐文豪,杨 科,等. 循环荷载作用下含倾斜单裂隙砂岩力学响应特征及渗流演化规律[J]. 岩土力学,2025,46(1):199–212.(TANG Jindan,TANG Wenhao,YANG Ke,et al. Mechanical response characteristics and seepage evolution patbern of sandstone with an inclined single fracture under cyclic loading[J]. Rock and Soil Mechanics,2025,46(1):199–212.(in Chinese))
[19] SHI Z,LI J,WANG J. Effect of creep load on fatigue behavior and acoustic emission characteristics of sandstone containing pre-existing crack during fatigue loading[J]. Theoretical and Applied Fracture Mechanics,2022,119:103296.
[20] LIU Y,DAI F,FAN P,et al. Experimental investigation of the influence of joint geometric configurations on the mechanical properties of intermittent jointed rock models under cyclic uniaxial compression[J]. Rock Mechanics and Rock Engineering,2017,50(6):1 453–1 471.
[21] FU J W,CHEN K,ZHU W S,et al. Progressive failure of new modelling material with a single internal crack under biaxial compression and the 3-D numerical simulation[J]. Engineering Fracture Mechanics,2016,165:140–152.
[22] 付金伟,朱维申,曹冠华,等. 岩石中三维单裂隙扩展过程的试验研究和数值模拟[J]. 煤炭学报,2013,38(3):411–417.(FU Jinwei,ZHU Weishen,CAO Guanhua,et al. Experimental study and numerical simulation of propagation and coalescence process of a single three-dimensional flaw in rocks[J]. Journal of China Coal Society,2013,38(3):411–417.(in Chinese))
[23] 余 宸,田 威,王 杰,等. 砂型3D打印材料在岩体物理模型试验中的应用研究及展望[J]. 材料导报,2024,38(12):77–85.(YU Chen,TIAN Wei,WANG Jie,et al. Application research and prospect of sand-type 3d printing material in rock physical model test[J]. Materials Reports,2024,38(12):77–85.(in Chinese))
[24] 蒋力帅,吴星宇,王庆伟,等. 砂型3D打印类煤试样动静组合加载力学特性[J]. 煤炭学报,2022,47(3):1 196–1 207.(JIANG Lishuai,WU Xingyu,WANG Qingwei,et al. Dynamic mechanical behaviors of sand-powder 3D printing rock-like specimens under coupled static and dynamic loads[J]. Journal of China Coal Society,2022,47(3):1 196–1 207.(in Chinese))
[25] 蒋力帅,彭晓涵,NASER Golsanami,等. 高力学相似性3D打印类煤岩材料研发与成型技术研究进展[J]. 煤炭学报,2026,51(2):1 135–1 149.(JIANG Lishuai,PENG Xiaohan,NASER Golsanami,et al. Research progress on material development and forming technology of high mechanical similarity 3D printing coal-like rock[J]. Journal of China Coal Society,2026,51(2):1 135–1 149.(in Chinese))
[26] 陈 淼,肖 灿,王肖珊,等. 动载作用下含孔锚固体力学特性及破坏机制研究[J]. 岩石力学与工程学报,2025,44(2):342–358. (CHEN Miao,XIAO Can,WANG Xiaoshan,et al. Study on dynamic characteristics and failure mechanism of anchorage body with holes under dynamic load[J]. Chinese Journal of Rock Mechanics and Engineering,2025,44(2):342–358.(in Chinese))
[27] ROBERTSON A M. The interpretation of geological factors for use in slope theory[J]. Planning Open Pit Mines,1970:55–71.
[28] 蒋力帅,王鑫哲,徐 清,等. 砂型3D打印材料对类软岩力学特性影响规律及机制[J]. 煤炭科学技术,2023,51(11):84–94.(JIANG Lishuai,WANG Xinzhe,XU Qing,et al. Influence and mechanism of printing materials on the mechanical properties of sand powder 3D printed weak rock-like materials[J]. Coal Science and Technology,2023,51(11):84–94.(in Chinese))
[29] 蒋力帅,李春盎,徐 清,等. 砂型3D打印成型方向对含裂隙软岩试样力学特性的影响研究[J]. 山东科技大学学报:自然科学版,2023,42(5):22–29.(JIANG Lishuai,LI Chunang,XU Qing,et al. Study on the influence of sand mold 3D printing direction on mechanical properties of soft rock specimens with crack[J]. Journal of Shandong University of Science and Technology:Natural Science,2023,42(5):22–29.(in Chinese))
[30] ZHANG Z,JIANG L,SAINOKI A,et al. Strengthening effect of particle gradation on the mechanical properties of sand powder 3D printed rock analog[J]. Journal of Materials Research and Technology, 2025,35:1 377–1 390.
[31] ZHANG Z,JIANG L,LI C,et al. Characteristics and mechanism of time on sand powder 3D printing rock analogue:a new method for fractured rock mechanics[J]. Geomechanics and Geophysics for Geo-Energy and Geo-Resources,2023,9(1):166.
[32] 文志杰,黄 景,蒋宇静,等. 动静组合循环加载试验系统研制及试验[J]. 中南大学学报:自然科学版,2021,52(8):2 817–2 827. (WEN Zhijie,HUANG Jing,JIANG Yujing,et al. Development and experiment of a coupled static-dynamic cyclic loading test system[J]. Journal of Central South University:Science and Technology,2021,52(8):2 817–2 827.(in Chinese))
[33] 樊运晓. 岩石单轴压缩试验Kaiser效应实质的研究[J]. 现代地质,2000,(1):95–99.(FAN Yunxiao. Nature of Kaiser effect of rocks under uniaxial cyclic loading[J]. Geoscience,2000,(1):95–99.(in Chinese))
[34] 蒋邦友,高 杰,李文帅,等. 动载扰动下高应力加锚煤体力学响应特征[J]. 中南大学学报:自然科学版,2025,56(9):3 861–3 870. (JIANG Bangyou,GAO Jie,LI Wenshuai,et al. Mechanical response characteristics of high-stress anchor-supported coal specimens with dynamic load disturbance[J]. Journal of Central South University:Science and Technology,2025,56(9):3 861–3 870.(in Chinese))
[35] 刘学伟,刘云豪,刘 滨,等. 注浆裂隙岩体力学特性影响因素试验研究[J]. 岩石力学与工程学报,2025,44(7):1 782–1 799.(LIU Xuewei,LIU Yunhao,LIU Bin,et al. Experimental investigation of the influencing factors on the mechanical properties of grouted fractured rock mass[J]. Chinese Journal of Rock Mechanics and Engineering,2025,44(7):1 782–1 799.(in Chinese))
[36] ZHAO K,MA H,YANG C,et al. The role of prior creep duration on the acoustic emission characteristics of rock salt under cyclic loading[J]. International Journal of Rock Mechanics and Mining Sciences,2022:157:105166.
[37] XIAO J Q,DING D X,XU G,et al. Inverted S-shaped model for nonlinear fatigue damage of rock[J]. International Journal of Rock Mechanics and Mining Sciences,2009,46(3):643–648.
[38] GONG F,YAN J,LI X,et al. A peak-strength strain energy storage index for rock burst proneness of rock materials[J]. International Journal of Rock Mechanics and Mining Sciences,2019,117:76–89.
[39] SONG L U O,GONG F,LI L,et al. Linear energy storage and dissipation laws and damage evolution characteristics of rock under triaxial cyclic compression with different confining pressures[J]. Transactions of Nonferrous Metals Society of China,2023,33(7):2 168–2 182.
[40] 谢和平,鞠 杨,黎立云,等. 岩体变形破坏过程的能量机制[J]. 岩石力学与工程学报,2008,27(9):1 729–1 740.(XIE Heping,JU Yang,LI Liyun,et al. Energy mechanism of deformation and failure of rock masses[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(9):1 729–1 740.(in Chinese))
[41] GONG F,ZHANG P,DU K. A novel staged cyclic damage constitutive model for brittle rock based on linear energy dissipation law: modelling and validation[J]. Rock Mechanics and Rock Engineering,2022,55(10):6 249–6 262.
[42] 于永江,刘佳铭,杨云涛,等. 基于能量原理不同含水率下煤岩体变形破坏能量损伤演化机制[J]. 煤炭科学技术,2024,52(6):67–80.(YU Yongjiang,LIU Jiaming,YANG Yuntao,et al. Mechanical properties and damage constitutive model of coal with different water content based on energy principle[J]. Coal Science and Technology,2024,52(6):67–80.(in Chinese))
[43] 刘保县,黄敬林,王泽云,等. 单轴压缩煤岩损伤演化及声发射特性研究[J]. 岩石力学与工程学报,2009,28(增1):3 234–3 238.(LIU Baoxian,HUANG Jinglin,WANG Zeyun,et al. Study on damage evolution and acoustic emission character of coal-like under uniaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering,2009,28(Supp.1):3 234–3 238.(in Chinese))
[44] KIM J S,LEE K S,CHO W J,et al. A comparative evaluation of stress–strain and acoustic emission methods for quantitative damage assessments of brittle rock[J]. Rock Mechanics and Rock Engineering,2015,48(2):495–508.
[45] 张国凯,李海波,王明洋,等. 岩石单轴压缩下损伤表征及演化规律对比研究[J]. 岩土工程学报,2019,41(6):1 074–1 082.(ZHANG Guokai,LI Haibo,WANG Mingyang,et al. Comparative study on damage characterization and damage evolution of rock under uniaxial compression[J]. Chinese Journal of Geotechnical Engineering,2019,41(6):1 074–1 082.(in Chinese))
[46] 李 宁,张志强,张 平,等. 裂隙岩样力学特性细观数值试验方法探讨[J]. 岩石力学与工程学报,2008,27(增1):2 848–2 854.(LI Ning,ZHANG Zhiqiang,ZHANG Ping,et al. A numerical test method for mesomechanical characteristics of jointed rock samples[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(Supp.1): 2 848–2 854.(in Chinese))
[47] 戴 峰,魏明东,徐奴文,等. 内置三维裂隙非均匀性岩石渐进破坏数值研究[J]. 应用基础与工程科学学报,2014,22(6):1 178– 1 186.(DAI Feng,WEI Mingdong,XU Nuwen,et al. Numerical simulation on progressive failure of heterogeneous rock specimens with a pre-existing three-dimensional crack[J]. Journal of Basic Science and Engineering,2014,22(6):1 178–1 186.(in Chinese))