Simulation of fully grouted rock bolts using dynamic finite element for underground caverns
LIU Guoqing1,2,XIAO Ming1,2,ZHOU Hao1,2
(1. State Key Laboratory of Water Resources and Hydropower Engineering Science,Wuhan University,Wuhan,Hubei 430072,China;2. Key Laboratory of Rock Mechanics in Hydraulic Structural Engineering of Ministry of Education,Wuhan University,Wuhan,Hubei 430072,China)
Abstract:This paper proposes a dynamic algorithm for rock bolt considering interfacial shear damage of anchorage body under seismic load. Based on basic loading formulas of the anchorage body,the control equation of load transfer related to surrounding rock and the bolt is deduced and then is transformed into linear equations according to the finite difference method. Combined with the free deformation displacement of the rock,the modification is made considering interfacial damage of the anchorage body,and the displacement of the anchorage body is obtained by iteration operation. Furthermore,the distributions for normal stress and interfacial shear stress of the anchorage body along the bolt length are achieved. The rationality of the algorithm is validated with computed results from the static calculation examples and then the algorithm is applied to dynamic calculation of the engineering case study. The results show that the algorithm can effectively simulate the supporting effect of the bolts and the anchorage body stress distribution conforms to the neutral point theory. The results also indicate that the normal stress of the bolt suffers constant growth with time during the earthquake. The interface near the anchor head with large shear stress is easily subjected to damage under seismic load.
刘国庆1,2,肖 明1,2,周 浩1,2. 地下洞室全长黏结式锚杆动力有限元模拟[J]. 岩石力学与工程学报, 2017, 36(S1): 3174-3183.
LIU Guoqing1,2,XIAO Ming1,2,ZHOU Hao1,2. Simulation of fully grouted rock bolts using dynamic finite element for underground caverns. , 2017, 36(S1): 3174-3183.
MA S,NEMCIK J,AZIZ N. An analytical model of fully grouted rock bolts subjected to tensile load[J]. Construction and Building Materials,2013,49:519-526.
[2]
CHEN J,SAYDAM S,HAGAN P C. An analytical model of the load transfer behavior of fully grouted cable bolts[J]. Construction and Building Materials,2015,101:1 006-1 015.
[3]
杨 庆,朱训国,栾茂田. 全长注浆岩石锚杆双曲线模型的建立及锚固效应的参数分析[J]. 岩石力学与工程学报,2007,26(4):692-698.(YANG Qing,ZHU Xunguo,LUAN Maotian. Development of hyperbolic model for fully grouting rock bolt and parameters analysis for anchoring effect[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(4):692-698.(in Chinese))
[4]
黄明华,周 智,欧进萍. 全长黏结式锚杆锚固段荷载传递机制非线性分析[J]. 岩石力学与工程学报,2014,33(增2):3 992-3 997. (HUANG Minghua,ZHOU Zhi,OU Jinping. Nonlinear analysis on load transfer mechanism of wholly grouted anchor rod along anchoring section[J]. Chinese Journal of Rock Mechanics and Engineering,2014,33(Supp.2):3 992-3 997.(in Chinese))
[5]
雒亿平,史 盛,言志信. 抗拔荷载作用下锚固体与岩土体界面剪切作用[J]. 煤炭学报,2015,40(1):58-64.(LUO Yiping,SHI Sheng,YAN Zhixin. Shear interaction of anchorage body and rock and soil interface under the action of uplift load[J]. Journal of China Coal Society,2015,40(1):58-64.(in Chinese))
[6]
荣 冠,朱焕春,周创兵. 螺纹钢与圆钢锚杆工作机理对比试验研究[J]. 岩石力学与工程学报,2004,23(3):469-475.(RONG Guan,ZHU Huanchun,ZHOU Chuangbing. Testing study on working mechanism of fully grouted bolts of thread steel and smooth steel[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(3):469-475.(in Chinese))
[7]
尤春安,高 明,张利民,等. 锚固体应力分布的试验研究[J]. 岩土力学,2004,25(增1):63-66.(YOU Chun¢an,GAO Ming,ZHANG Limin,et al. Experimental research on stress distribution in anchorage body[J]. Rock and Soil Mechanics,2004,25(Supp.1):63-66.(in Chinese))
[8]
刘 波,李东阳,段艳芳,等. 锚杆-砂浆界面黏结滑移关系的试验研究与破坏过程解析[J]. 岩石力学与工程学报,2011,30(增1):2 790-2 797.(LIU bo,LI Dongyang,DUAN Yanfang,et al. Experimental study of bond-slip relationship between bolt and mortar and theoretical solution to failure process[J]. Chinese Journal of Rock Mechanics and Engineering,2011,30(Supp.1):2 790-2 797.(in Chinese))
[9]
FREEMAN T J. The behaviour of fully-bonded rock bolts in the Kielder experimental tunnel[J]. Tunnels and Tunnelling,1978,10(5):37-40.
[10]
朱训国,杨 庆,栾茂田. 隧道围岩中全长注浆岩石锚杆的应力分布分析[J]. 岩土力学,2007,28(增1):173-177.(ZHU Xunguo,YANG Qing,LUAN Maotian. Study of reinforcement mechanics for fully grouting rock bolt in tunneling wall rock[J]. Rock and Soil Mechanics,2007,28(Supp.1):173-177.(in Chinese))
[11]
姚显春,李 宁, 陈蕴生. 隧洞中全长粘结式锚杆的受力分析[J]. 岩石力学与工程学报,2005,24(13):2 272-2 276.(YAO Xianchun, LI Ning,CHEN Yunsheng. Theoretical solution for shear stresses on interface of fully grouted bolt in tunnels[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(13):2 272-2 276.(in Chinese))
[12]
文竞舟,张永兴,王 成. 隧道围岩全长黏结式锚杆界面力学模型研究[J]. 岩土力学,2013,34(6):1 645-1 651.(WEN Jingzhou,ZHANG Yongxing,WANG Cheng. Study of mechanical model of fully grouted rock bolt′s anchorage interface in tunnel surrounding rock[J]. Rock and Soil Mechanics,2013,34(6):1 645-1 651.(in Chinese))
[13]
CAI Y,JIANG Y,DJAMALUDDIN I,et al. An analytical model considering interaction behavior of grouted rock bolts for convergence-confinement method in tunneling design[J]. International Journal of Rock Mechanics and Mining Sciences,2015,76:112-126.
[14]
薛亚东,张世平,康天合. 回采巷道锚杆动载响应的数值分析[J]. 岩石力学与工程学报,2003,22(11):1 903-1 906.(XUE Yadong,ZHANG Shiping,KANG Tianhe. Numerical analysis on dynamic response of rock bolts in mining roadways[J]. Chinese Journal of Rock Mechanics and Engineering,2003,22(11):1 903-1 906.(in Chinese))
[15]
张志国,肖 明. 地下洞室三维弹塑性动力显式有限元锚杆模拟[J]. 水力发电学报,2012,31(4):181-188.(ZHANG Zhiguo,XIAO Ming. Simulation of anchor bolts by explicit 3D elastoplastic dynamic finite element method for underground caverns[J]. Journal of Hydroelectric Engineering,2012,31(4):181-188.(in Chinese))
[16]
BENMOKRANE B,CHENNOUF A,MITRI H S. Laboratory evaluation of cement-based grouts and grouted rock anchors[J]. International Journal of Rock Mechanics and Mining Sciences,1995,32(7):633-642.
[17]
张志国,肖 明, 陈俊涛. 大型地下洞室地震灾变过程三维动力有限元模拟[J]. 岩石力学与工程学报,2011,30(3):509-523.(ZHANG Zhiguo,XIAO Ming,CHEN Juntao. Simulation of earthquake disaster process of large-scale underground caverns using three-dimensional dynamic finite element method[J]. Chinese Journal of Rock Mechanics and Engineering,2011,30(3):509-523.(in Chinese))