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| A strength empirical formula of irregular rock joints based on peak shear test |
| CHENG Tan1,GUO Baohua1,2,SUN Jiehao1,TIAN Shixuan1,SUN Chongxuan1,CHEN Yan1 |
| (1. School of Energy Science and Engineering,Henan Polytechnic University,Jiaozuo,Henan 454000,China;2. The Collaborative Innovation Center of Coal Safety Production of Henan Province,Henan Polytechnic University,Jiaozuo,Henan 454000,China) |
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Abstract In order to study the shear strength features of rock joints under constant normal stress conditions,irregular sandstone and granite joint specimens were prepared by using a splitting method. After obtaining the morphological parameters of rock joints with a three-dimensional topography scanner,the direct shear tests of rock joints under different normal stresses were carried out by using the RDS–200 rock joint shear test system. Based on the relationships between the peak dilatancy angle and the normal stress,and between the joint morphology and the joint deformation resistance,an empirical formula for the shear strength of irregular rock joints was proposed. On the whole,the peak shear strength,the peak shear displacement and the pre-peak shear stiffness increase with increasing the normal stress,while the contribution of the initial shear dilatancy angle to the peak shear strength decreases with increasing the normal stress. The initial shear dilatancy angle is characterized by the contour area ratio,a 3D morphology parameter of the joint surface. Based on the consideration of that the peak dilatancy angle is negatively correlated with the normal stress but positively correlated with the deformation resistance of the rock joint,an empirical formula for the peak shear strength of the rock joint was proposed to describe the peak shear resistance of the rock joints in two shear failure types. Compared with the existing empirical formulae of the rock joint shear strength,the new proposed empirical formula has a good prediction accuracy,which may provide a strong support for conveniently estimating the rock joint shear strength in engineering practice.
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[1] 沈明荣,张清照. 规则齿型结构面剪切特性的模型试验研究[J]. 岩石力学与工程学报,2010,29(4):713–719.(SHEN Mingrong,ZHANG Qingzhao. Experimental study of shear deformation characteristics of rock mass discontinuities[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(4):713–719.(in Chinese))
[2] 曹 平,范 祥,蒲成志,等. 节理剪切试验及其表面形貌特征变化分析[J]. 岩石力学与工程学报,2011,30(3):480–485.(CAO Ping,FAN Xiang,PU Chengzhi,et al. Shear test of joint and analysis of morphology characteristic evolution of joint surface[J]. Chinese Journal of Rock Mechanics and Engineering,2011,30(3):480–485.(in Chinese))
[3] 周 辉,程广坦,朱 勇,等. 大理岩规则齿形结构面剪切特性试验研究[J]. 岩土力学,2019,40(3):852–860.(ZHOU Hui,CHENG Guangtan,ZHU Yong,et al. Experimental study of shear deformation characteristics of marble dentate joints[J]. Rock and Soil Mechanics,2019,40(3):852–860.(in Chinese))
[4] 金磊磊,魏玉峰,黄 鑫,等. 基于节理面三维形貌的岩石节理抗剪强度计算模型[J]. 岩土力学,2020,41(10):3 355–3 364.(JIN Leilei,WEI Yufeng,HUANG Xin,et al. Shear strength calculation criterion of rock joints based on three-dimensional morphology[J]. Rock and Soil Mechanics,2020,41(10):3 355–3 364.(in Chinese))
[5] ZHANG X B,JIANG Q H,CHEN N,et al. Laboratory investigation on shear behavior of rock joints and a new peak shear strength criterion[J]. Rock Mechanics and Rock Engineering,2016,49(9):1–18.
[6] Bahaaddini M. Effect of boundary condition on the shear behavior of rock joints in the direct shear test[J]. Rock Mechanics and Rock Engineering,2017,50(5):1 141–1 155.
[7] KWON T H,HONG E S,CHO G C. Shear behavior of rectangular-shaped asperities in rock joints[J]. KSCE Journal of Civil Engineering,2010,14(3):323–332.
[8] Liu H Y,Han H,An H M,et al. Hybrid finite-discrete element modelling of asperity degradation and gouge grinding during direct shearing of rough rock joints[J]. International Journal of Coal Science and Technology,2016,3(3):295–310.
[9] Hong E S,Kwon T H,Song K I. Observation of the degradation characteristics and scale of unevenness on three-dimensional artificial rock joint surfaces subjected to shear[J]. Rock Mechanics and Rock Engineering,2016,49(1):3–17.
[10] PATTON F D. Multiple modes of shear failure in rock[C]// Proceedings of the 1st Congress of International Society of Rock Mechanics. Lisbon,Portugal:[s. n. ],1966:509–513.
[11] BARTON N,CHOUBEY V. The shear strength of rock joints in theory and practice[J]. Rock Mechanics and Rock Engineering,1977,10(1):1–54.
[12] HONG E S,LEE J S,LEE I M. Underestimation of roughness in rough rock joints[J]. International Journal of Rock Mechanics and Mining Sciences,2008,32(11):1 385–1 403.
[13] ZHAO J. Joint surface matching and shear strength part B:JRC-JMC shear strength criterion[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1997,34(2):179–185.
[14] SCHNEIDER H J. The friction and deformation behavior of rock joints[J]. Rock Mechanics,1976,8(3):169–185.
[15] MAKSIMOVIC M. New description of the shear strength for rock joints[J]. Rock Mechanics and Rock Engineering,1992,25(4):275–284.
[16] MAKSIMOVIC M. The shear strength components of a rough rock joint[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1996,33(8):769–783.
[17] KULATILAKE P,SHOU G,HUANG T H,et al. New peak shear strength criteria for anisotropic rock joints[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1995,32(7):673–697.
[18] GRASSELLI G. Shear strength of rock joints based on quantified surface description[Ph. D. Thesis][D]. Lausanne,Switzerland:Swiss Federal Institute of Technology,2001.
[19] GRASSELLI G,WIRTH J,EGGER P. Quantitative three-dimensional description of a rough surface and parameter evolution with shearing[J]. International Journal of Rock Mechanics and Mining Sciences,2002,39(6):789–800.
[20] GRASSELLIA G,EGGER P. Constitutive law for the shear strength of rock joints based on three-dimensional surface parameters[J]. International Journal of Rock Mechanics and Mining Sciences,2003,40(1):25–40.
[21] XIA C C,TANG Z C,XIAO W M,et al. New peak shear strength criterion of rock joints based on quantified surface description[J]. Rock Mechanics and Rock Engineering,2014,47(2):387–400.
[22] 唐志成,夏才初,宋英龙,等. Grasselli节理峰值抗剪强度公式再探[J]. 岩石力学与工程学报,2012,31(2):356–364.(TANG Zhicheng,XIA Caichu,SONG Yinglong,et al. Discussion about Grasselli¢s peak shear strength criterion for rock joints[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(2):356–364.(in Chinese))
[23] 陈 曦,曾亚武,孙翰卿,等. 岩石节理峰值抗剪强度新模型[J]. 岩土力学,2018,39(增2):123–130.(CHEN Xi,ZENG Yawu,SUN Hanqing,et al. A new peak shear strength model of rock joints[J]. Rock and Soil Mechanics,2018,39(Supp.2):123–130.(in Chinese))
[24] 杨 洁,荣 冠,程 龙,等. 节理峰值抗剪强度试验研究[J]. 岩石力学与工程学报,2015,34(5):884–894.(YANG Jie,RONG Guan,CHENG Long,et al. Experimental study of peak shear strength of rock joints[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(5):884–894.(in Chinese))
[25] 陈 曦,曾亚武,孙翰卿,等. 基于 Grasselli 形貌参数的岩石节理初始剪胀角新模型[J]. 岩石力学与工程学报,2019,38(1):133–152.CHEN Xi,ZENG Yawu,SUN Hanqing,et al.A new model of the initial dilatancy angle of rock joints based on Grasselli's morphological parameters[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(1):133–152.(in Chinese))
[26] 唐志成,刘泉声,黄继辉,等. 改进的 Maksimovic 峰值剪切强度准则的试验验证[J]. 岩土力学,2014,35(增1):233–237.(TANG Zhicheng,LIU Quansheng,HUANG Jihui,et al. Experimental validation of modified Maksimovic peak shear strength criterion for rock fractures[J]. Rock and Soil Mechanics,2014,35(Supp.1):233–237.(in Chinese))
[27] 唐志成,刘泉声,夏才初,等. 确定岩石节理 Maksimovic 峰值抗剪强度准则中粗糙度角“Δ?”的新方法[J]. 岩土力学,2014,35(2):551–555.(TANG Zhicheng,LIU Quansheng,XIA Caichu,et al. A new method for calculating roughness angle Δ? in Maksimovic peak shear strength criterion of rock joints[J]. Rock and Soil Mechanics,2014,35(2):551–555.(in Chinese))
[28] Lam T,Johnston I. Shear behavior of regular triangular concrete/ rock joints—evaluation[J]. Journal of Geotechnical Engineering,1989,115(5):728–740.
[29] Haberfield C M,Johnston I W. A mechanistically-based model for rough rock joints[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1994,31(4):279–292.
[30] Hossaini K A,Babanouri N,Nasab S K. The influence of asperity deformability on the mechanical behavior of rock joints[J]. International Journal of Rock Mechanics and Mining Sciences,2014,70(1):154–161.
[31] 郭保华,程 坦,陈 岩,等. 大理岩裂隙渗流特性及充填砂土影响[J]. 水利学报,2019,50(4):463–474.(GUO Baohua,CHENG Tan,CHEN Yan,et al. Seepage characteristic of marble fracture and effect of filling sands[J]. Journal of Hydraulic Engineering,2019,50(4):463–474.(in Chinese))
[32] LI C C,ZHANG N,RUIZ J. Measurement of the basic friction angle of planar rock discontinuities with three rock cores[J]. Bulletin of Engineering Geology and the Environment,2019,78(2):847–856.
[33] Yang Z Y,Lo S C,Di C C. Reassessing the joint roughness coefficient(JRC) estimation using Z2[J]. Rock Mechanical and Rock Engineering,2001,34(3):243–251.
[34] Li Y,Zhang Y. Quantitative estimation of joint roughness coefficient using statistical parameters[J]. International Journal of Rock Mechanics and Mining Sciences,2015,77:27–35.
[35] 董航宇. 不规则岩石节理剪切力学特性试验研究[硕士学位论文][D]. 焦作:河南理工大学,2017.(DONG Hangyu. Experimental study on mechanical shear properties of irregular rock fractures[M. S. Thesis][D]. Jiaozuo:Henan Polytechnic University,2017.(in Chinese))
[36] GHAZVINIAN A H. Importance of tensile strength on the shear behavior of discontinuities[J]. Rock Mechanics and Rock Engineering,2012,45(3):349–359.
[37] TIAN Y,LIU Q,LIU D,et al. Updates to Grasselli's peak shear strength model[J]. Rock Mechanics and Rock Engineering,2018,51(7):2 115–2 133.
[38] Homand F,Belem T,Souley M. Friction and degradation of rock joint surfaces under shear loads[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2010,25(10):973–999.
[39] Tang H M,Ge Y F,Wang L Q,et al. Study on estimation method of rock mass discontinuity shear strength based on three-dimensional laser scanning and image technique[J]. Journal of Earth Science,2012,23(6):908–913.
[40] Ghazvinian A H,Taghichian A,Hashemi M,et al. The shear behavior of bedding planes of weakness between two different rock types with high strength difference[J]. Rock Mechanics and Rock Engineering,2010,43(1):69–87.
[41] JING L. Numerical modeling of jointed rock masses by distinct element method for two and three dimensional problems[Ph. D. Thesis][D]. Sweden,Lulea:Lulea University of Technology,1990.
[42] LEE Y K,PARK J W,SONG J J. Model for the shear behavior of rock joints under CNL and CNS conditions[J]. International Journal of Rock Mechanics and Mining Sciences,2014,70:252–263.
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