Study on tensile-compression damage and fracture of weak interlayers in block rock masses induced by quasi-resonance#br#
WANG Kaixing1,XU Weigang1,PAN Yishan1,XUE Jiaqi1,OPARIN V N2,KIRYAEVA T A2
(1. School of Mechanics and Engineering,Liaoning Technical University,Fuxin,Liaoning 123000,China;
2. Chinakal Institute of Mining,Siberian Branch,Russian Academy of Sciences,Novosibirsk 630091,Russia)
Abstract:When the frequency of external disturbances approaches the natural frequency of a block rock mass,a quasi-resonance phenomenon occurs. This phenomenon results in a sharp change in the strain of the weak interlayers between rock blocks,accelerating the dynamic damage and fracture of these interlayers. To investigate the dynamic tensile-compression damage and fracture patterns of weak interlayers caused by quasi-resonance in block rock masses,the deformation characteristics of weak interlayers under quasi-resonance conditions were analyzed based on a block rock mass model. Combining the rock dynamic damage fracture criteria,a theoretical and computational analysis of the dynamic damage and fracture of weak interlayers under quasi-resonance was conducted,further studying the dynamic failure patterns. Numerical simulations revealed the damage evolution characteristics of weak interlayers in block rock masses under quasi-resonance conditions. The results indicate that during quasi-resonance in block rock masses,the relative displacement between rock blocks sharply increases,significantly enhancing the strain and damage degree of the weak interlayers. The damage degree of the weak interlayers is highest at low-order quasi-resonance frequencies and is influenced by external disturbance forces and system parameters such as the stiffness,viscosity,and thickness of the weak interlayers and the mass of the rock blocks. When quasi-resonance occurs in block rock masses,the fracture stress increases,but the time from fracture to complete failure is significantly shortened,indicating a substantial decline in residual bearing capacity. This study provides a valuable reference for understanding the dynamic fracture behavior of block rock masses.
王凯兴1,徐伟刚1,潘一山1,薛佳琪1,OPARIN V N2,KIRYAEVA T A2. 块系岩体准共振诱发弱夹层拉压损伤断裂研究[J]. 岩石力学与工程学报, 2025, 44(1): 114-127.
WANG Kaixing1,XU Weigang1,PAN Yishan1,XUE Jiaqi1,OPARIN V N2,KIRYAEVA T A2. Study on tensile-compression damage and fracture of weak interlayers in block rock masses induced by quasi-resonance#br#. , 2025, 44(1): 114-127.
[1] SADOVSKY M A. Natural lumpiness of a rock[J]. Dokl Akad Nauk SSSR,1979,(4):829–831.
[2] KURLENYA M V,OPARIN V N. Scale factor of phenomenon of zonal disintegration of rock,and canonical series of atomic and ionic radii[J]. Journal of Mining Science,1996,32(2):81–90.
[3] KURLENYA M V,OPARIN V N,VOSTRIKOV V I. Pendulum-type waves. Part I:State of the problem and measuring instrument and computer complexes[J]. Journal of Mining Science,1996,32(3):159–163.
[4] KURLENYA M V,OPARIN V N,VOSTRIKOV V I. Pendulum-type waves. Part II:Experimental methods and main results of physical modeling[J]. Journal of Mining Science,1996,32(4):245–273.
[5] ALEKSANDROVA N I,SHER E N. Wave propagation in the 2D periodical model of a block-structured medium. Part I:characteristics of waves under impulsive impact[J]. Journal of Mining Science,2010,46(6):639–649.
[6] ALEKSANDROVA N I. Propagation of pendulum waves under deep-seated cord charge blasting in blocky rock mass[J]. Journal of Mining Science,2017,53(5):824–830.
[7] ALEKSANDROVA N I. Pendulum waves on the surface of block rock mass under dynamic impact[J]. Journal of Mining Science,2017,53(1):59–64.
[8] SARAIKIN V A. Elastic properites of blocks in the low-frequency component of waves in a 2D medium[J]. Journal of Mining Science,2009,45(3):207–221.
[9] 吴 昊,方 秦,于冬勋. 深部块系岩体摆型波现象的研究进展[J]. 力学进展,2008,(5):601–609.(WU Hao,FANG Qin,YU Dongxun. Advances in the study on pendulum-type wave phenomenon in the deep block rock mass[J]. Advances in Mechanics,2008,(5):601–609.(in Chinese))
[10] 钱七虎. 深部岩体工程响应的特征科学现象及“深部”的界定[J]. 东华理工学院学报,2004,(1):1–5. (QIAN Qihu. The characteristic scientific phenomena of engineering response to deep rock mass and the implication of deepness[J]. Journal of East China Institute of Technology,2004,(1):1–5.(in Chinese))
[11] WANG K,PAN Y,DERGACHOVA N. Steady-state response of the block rock mass to external periodic excitation and resonance condition[J]. Journal of Mathematical Sciences,2014,201(1):111–120.
[12] KURLENYA M V,OPARIN V N. Problems of nonlinear geomechanics. Part II[J]. Journal of Mining Science,2000,36(4):305–326.
[13] 王凯兴,薛佳琪,潘一山,等. 顶板–支护系统准共振诱发冲击地压机制研究[J]. 岩土力学,2023,44(3):717–727.(WANG Kaixing,XUE Jiaqi,PAN Yishan,et al. Study on the mechanism of coal bursts induced by quasi-resonance of roof-support system[J]. Rock and Soil Mechanics,2023,44(3):717–727.(in Chinese))
[14] 姜 宽,戚承志,卢真辉,等. 考虑双模量特性的块系岩体摆型波传播规律研究[J]. 振动与冲击,2020,39(24):171–178.(JIANG Kuan,QI Chengzhi,LU Zhenhui,et al. A study on the propagation law of pendulum-type wave in block-rock mass considering bimodulus characteristics[J]. Journal of Vibration and Shock,2020,39(24):171–178.(in Chinese))
[15] 王凯兴,吴少弘,潘一山,等. 岩块断裂对块系岩体摆型波传播影响试验[J]. 中国矿业大学学报,2023,52(2):267–275.(WANG Kaixing,WU Shaohong,PAN Yishan,et al. Experimental on the effect of block fracture on pendulum-type wave propagation in block-rock mass[J]. Journal of China University of Mining and Technology,2023,52(2):267–275.(in Chinese))
[16] YANG R,YUE Z,SUN Z,et al. Dynamic fracture behavior of rock under impact load using the caustics method[J]. Mining Science and Technology(China),2009,19(1):79–83.
[17] LI D,HAN Z,ZHU Q,et al. Stress wave propagation and dynamic behavior of red sandstone with single bonded planar joint at various angles[J]. International Journal of Rock Mechanics and Mining Sciences,2019,117:162–170.
[18] TANG W,YOU Y,HU F,et al. Experimental study on shpb dynamic mechanical response in different damage zones of rock under blast load[J]. Shock and Vibration,2022,2022(1):1–9.
[19] 唐礼忠,武建力,刘 涛,等. 大理岩在高应力状态下受小幅循环动力扰动的力学试验[J]. 中南大学学报:自然科学版,2014,45(12):4 300–4 307. (TANG Lizhong,WU Jianli,LIU Tao,et al. Mechanical experiments of marble under high stress and cyclic dynamic disturbance of small amplitude[J]. Journal of Central South University:Science and Technology,2014,45(12):4 300–4 307.(in Chinese))
[20] YE H,LI X,LEI T,et al. Dynamic response characteristics and damage rule of graphite ore rock under different strain rates[J]. Scientific Reports,2023,13(1):2 151.
[21] DENTSORAS A J,DIMAROGONAS A D. Resonance controlled fatigue crack propagation in a beam under longitudinal vibrations[J]. International Journal of Fracture,1983,23(1):15–22.
[22] WANG F,WANG S,XIU Z. Influence of crack geometry on dynamic damage of cracked rock:crack number and filling material[J]. Applied Sciences,2020,11(1):250.
[23] MA W,WANG T. Numerical study of the influence of joint angle on the failure behavior of randomly and nonpersistently jointed rock mass[J]. Arabian Journal for Science and Engineering,2020,45(5):4 023–4 036.
[24] SHI H,ZHANG H,SONG L,et al. Failure characteristics of sandstone specimens with randomly distributed pre-cracks under uniaxial compression[J]. Environmental Earth Sciences,2020,79(9):193.
[25] ZHONG Z,DENG R,ZHANG J,et al. Fracture properties of jointed rock infilled with mortar under uniaxial compression[J]. Engineering Fracture Mechanics,2020,228:106822.
[26] SHU P,LI H,WANG T,et al. Dynamic strength of rock with single planar joint under various loading rates at various angles of loads applied[J]. Journal of Rock Mechanics and Geotechnical Engineering,2018,10(3):545–554.
[27] ZHOU X,GU S. Dynamic mechanical properties and cracking behaviours of persistent fractured granite under impact loading with various loading rates[J]. Theoretical and Applied Fracture Mechanics,2022,118:103281.
[28] WANG Y,YANG R,ZHAO G. Influence of empty hole on crack running in pmma plate under dynamic loading[J]. Polymer Testing,2017,58:70–85.
[29] LIU L,YANG Y,CHAI Y,et al. A study of the dynamic damage characteristics of rock-like materials with different connectivity of concealed structural surfaces[J]. Theoretical and Applied Fracture Mechanics,2022,121:103497.
[30] SU H,JIANG Y,YU L,et al. Dynamic fracture and deformation responses of rock mass specimens containing 3D printing rough joint subjected to impact loading[J]. Geomechanics and Geophysics for Geo-Energy and Geo-Resources,2022,8(6):186.
[31] ALEKSANDROVA N I,CHERNIKOV A G,SHER E N. On attenuation of pendulum-type waves in a block rock mass[J]. Journal of Mining Science,2006,42(5):468–475.
[32] 赵 玫,周海亭. 机械振动与噪声学[M]. 北京:科学出版社,2004:114–115.(ZHAO Mei,ZHOU Haiting. Mechanical vibration and noise[M]. Beijing:Science Press,2004:114–115.(in Chinese))
[33] ALEKSANDROVA N I,SHER E N,CHERNIKOV A G. Effect of viscosity of partings in block-hierarchical media on propagation of low-frequency pendulum waves[J]. Journal of Mining Science,2008,44(3):225–234.
[34] 朱守东,戚承志,姜 宽,等. 块系岩体摆型波能量转化和耗散规律[J]. 科学技术与工程,2021,21(27):11 760–11 767.(ZHU Shoudong,QI Chengzhi,JIANG Kuan,et al. The law of energy conversion and dissipation of pendulum wave in blocky rock mass[J]. Science Technology and Engineering,2021,21(27):11 760–11 767. (in Chinese))
[35] 刘冬桥,胡天祥,王 炀,等. 动载频率对砂岩冲击岩爆影响的实验研究[J]. 岩石力学与工程学报,2022,41(7):1 310–1 324. (LIU Dongqiao,HU Tianxiang,WANG Yang,et al. Experimental study of the effect of loading frequency on the impact rockburst of sandstone[J]. Chinese Journal of Rock Mechanics and Engineering,2022,41(7):1 310–1 324.(in Chinese))
[36] 李夕兵. 岩石动力学基础与应用[M]. 北京:科学出版社,2014:192–196.(LI Xibing. Rock dynamics fundamentals and applications[M]. Beijing:Science Press,2014:192–196.(in Chinese))
[37] GRADY D E,KIPP M E. The micromechanics of impact fracture of rock[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1979,16(5):293–302.
[38] KIPP M E,GRADY D E. Dynamic fracture growth and interaction in one dimension[J]. Journal of the Mechanics and Physics of Solids,1985,33(4):399–415.
[39] 李天密,张 佳,方继松,等. PMMA膨胀环动态拉伸碎裂实验研究[J]. 力学学报,2018,50(4):820–827.(LI Tianmi,ZHANG Jia,FANG Jisong,et al. Experimental study of the high velocity expansion and fragmentation of PMMA rings[J]. Chinese Journal of Theoretical and Applied Mechanics,2018,50(4):820–827.(in Chinese))
[40] 张蓉蓉. 不同温度处理后深部砂岩动态力学及损伤特性试验与分析[J]. 岩石力学与工程学报,2018,37(增2):3 879–3 890. (ZHANG Rongrong. Test and analysis of dynamic mechanics and damage characteristics of deep sandstone after different temperatures[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(Supp.2):3 879–3 890.(in Chinese))
[41] 郑宇轩,胡时胜,周风华. 韧性材料的高应变率拉伸碎裂过程及材料参数影响[J]. 固体力学学报,2012,33(4):358–369.(ZHENG Yuxuan,HU Shisheng,ZHOU Fenghua. High strain rate tensile fragmentation process of ductile materials and the effects of material parameters[J]. Chinese Journal of Solid Mechanics,2012,33(4):358–369.(in Chinese))
[42] 文晓泽,冯国瑞,郭 军,等. 中低应变率扰动荷载作用下砂岩动态拉伸力学响应特征研究[J]. 岩石力学与工程学报,2022,41(增1):2 812–2 822. (WEN Xiaoze,FENG Gourui,GUO Jun,et al. Dynamic tensile mechanical response properties of sandstone under medium and low strain rate disturbance load[J]. Chinese Journal of Rock Mechanics and Engineering,2022,41(S1):2 812–2 822.(in Chinese))
[43] 高延法,曲祖俊,牛学良,等. 深井软岩巷道围岩流变与应力场演变规律[J]. 煤炭学报,2007,32(12):1 244–1 252.(GAO Yanfa,QU Zujun,NIU Xueliang,et al. Rheological law for rock tunnel and evolution law for stress field in deep mine[J]. Journal of China Coal Society,2007,32(12):1 244–1 252.(in Chinese))
[44] 赵洪宝,吉东亮,刘绍强,等. 冲击荷载下复合岩体动力响应力学特性及本构模型研究[J]. 岩石力学与工程学报,2023,42(1):88–99.(ZHAO Hongbao,JI Dongliang,LIU Shaoqiang,et al. Study on dynamic response and constitutive model of composite rock under impact loading[J]. Chinese Journal of Rock Mechanics and Engineering,2023,42(1):88–99.(in Chinese))