岩石节理峰值抗剪强度新模型
|
摘要
Grasselli提出的形貌参数充分反映了节理表面粗糙度的三维特征,Xia模型、Yang模型、Tang模型采用Grasselli提出的三维形貌参数,但Xia模型峰值抗剪强度公式不满足边界条件,Yang模型材料项不能反映节理剪切受拉破坏机制,Tang模型预测精度较低且剪胀角与法向应力关系未能体现粗糙度参数的作用,文中提出一个新的峰值抗剪强度公式弥补了上述各模型的不足之处。根据Grasselli、唐志成等、Yang等发表的63组数据对新模型进行验算,结果表明,Tang模型预测精度较低,新模型和Xia模型、Grasselli模型预测精度较为接近。此外发现,关系函数f(sn)考虑形貌参数的作用时可以有效地提高模型的预测精度。新模型公式形式较为简洁、物理意义明确、符合摩尔-库仑准则、量纲统一,可以为相关的工程研究提供参考。
The morphology parameters proposed by Grasselli fully described the three-dimensional roughness of rock joints. Based on Grasselli's three-dimensional parameters, Xia et al, Yang et al, and Tang et al developed new peak shear strength models. It is revealed that Xia's model didn't agree well with the boundary conditions. Yang's model can not explain the mechanism of tensile failure during the shearing of rock joints. Tang's model showed a low accuracy in predicting the peak shear strength of a rock joint. In light of these problems, a new peak shear strength model is established. The new model is verified based on the 63 groups of rock joints published by Grasselli, Tang and Yang, the results show that the new model has the same accuracy with the published model, and the new model is simple in terms of form so it can provide a reference for rock engineering. Besides, it will improve the accuracy in predicting the peak shear strength between the calculated results and the test results when the relationship function f(?n) takes the morphological parameter into consideration.
The morphology parameters proposed by Grasselli fully described the three-dimensional roughness of rock joints. Based on Grasselli's three-dimensional parameters, Xia et al, Yang et al, and Tang et al developed new peak shear strength models. It is revealed that Xia's model didn't agree well with the boundary conditions. Yang's model can not explain the mechanism of tensile failure during the shearing of rock joints. Tang's model showed a low accuracy in predicting the peak shear strength of a rock joint. In light of these problems, a new peak shear strength model is established. The new model is verified based on the 63 groups of rock joints published by Grasselli, Tang and Yang, the results show that the new model has the same accuracy with the published model, and the new model is simple in terms of form so it can provide a reference for rock engineering. Besides, it will improve the accuracy in predicting the peak shear strength between the calculated results and the test results when the relationship function f(?n) takes the morphological parameter into consideration.
引文
[1]PATTON F D.Multiple modes of shear failure in rock[C]//Proceedings of the First Congress of International Society of Rock Mechanics.Lisbon:[s.n.],1966:509-513.
[2]BARTON N,CHOUBEY V.The shear strength of rock joints in theory and practice[J].Rock Mechanics and Rock Engineering,1977,10(1/2):1-54.
[3]ZHAO J.Joint surface matching and shear strength part A:joint matching coefficient(JMC)[J].International Journal of Rock Mechanics and Mining Sciences,1997,34(2):173-178.
[4]ZHAO J.Joint matching and shear strength.part B.Shear strength and JRC-JMC model[J].International Journal of Rock Mechanics and Mining Sciences,1997,34(2):179-185.
[5]陈世江,朱万成,王创业,等.岩体结构面粗糙度系数定量表征研究进展[J].力学学报,2017,49(2):239-256.CHEN Shi-jiang,ZHU Wan-cheng,WANG Chuang-ye,et al.Review of research progresses of the quantifying joint roughness coefficient[J].Chinese Journal of Theoretical and Applied Mechanics,2017,49(2):239-256.
[6]唐志成,刘泉声,刘小燕.节理的剪切力学性质与含三维形貌参数的剪切强度准则比较研究[J].岩土工程学报,2014,36(5):873-879.TANG Zhi-cheng,LIU Quan-sheng,LIU Xiao-yan.Shear behavior of rock joints and comparative study on shear strength criteria with three-dimensional morphology parameters[J].Chinese Journal of Geotechnical Engineering,2014,36(5):873-879.
[7]唐志成,夏才初,宋英龙.粗糙节理的峰值抗剪强度准则[J].岩土工程学报,2013,35(3):571-577.TANG Zhi-cheng,XIA Cai-chu,SONG Ying-long.New peak shear strength criteria for roughness joints[J].Chinese Journal of Geotechnical Engineering,2013,35(3):571-577.
[8]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.
[9]GRASSELLI G.Manuel rocha medal recipient shear strength of rock joints based on quantified surface description[J].Rock Mechanics and Rock Engineering,2006,39(4):295.
[10]GRASSELLI 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.
[11]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
[12]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 Zhi-cheng,XIA Cai-chu,SONG Ying-long,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.
[13]YANG J,RONG G,HOU D,et al.Experimental study on peak shear strength criterion for rock joints[J].Rock Mechanics and Rock Engineering,2016,49(3):821-835.
[14]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.
[15]TANG Zhi-cheng,LIU Quan-sheng,HUANG Ji-hui.New criterion for rock joints based on three-dimensional roughness parameters[J].Journal of Central South University,2014,21(12):4653-4659.
[16]ZHANG X,JIANG Q,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.
[17]GHAZVINIAN A H.Importance of tensile strength on the shear behavior of discontinuities[J].Rock Mechanics and Rock Engineering,2012,45(3):349-359.
[18]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Δφ”的新方法[J].岩土力学,2014,35(2):551-555.TANG Zhi-cheng,LIU Quan-sheng,XIA Cai-chu,et al.Anew method for calculating roughness angleΔφin Maksimovic peak shear strength criterion of rock joints[J].Rock and Soil Mechanics,2014,35(2):551-555.
[19]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(增刊1):233-237.TANG Zhi-cheng,LIU Quan-sheng,HUANG Ji-hui,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.
[20]MAKSIMOVI?M.New description of the shear strength for rock joints[J].Rock Mechanics and Rock Engineering,1992,25(4):275-284.
[21]TATONE B S,GRASSELLI G.A method to evaluate the three-dimensional roughness of fracture surfaces in brittle geomaterials[J].Review of Scientific Instruments,2009,80(12):125110.
[22]JING L.Numerical modeling of jointed rock masses by distinct element method for two-and three-dimensional problems[Ph.D.Thesis D].Lulea,Sweden:Lulea University of Technology,1990.
[23]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):2115-2133.
[24]蔡美峰,何满潮,刘东燕.岩石力学与工程[M].北京:科学出版社,2013:34-35.CAI Mei-feng,HE Man-chao,LIU Dong-yan.Rock mechanics and engineering[M].Beijing:Science Press,2013:34-35.
[2]BARTON N,CHOUBEY V.The shear strength of rock joints in theory and practice[J].Rock Mechanics and Rock Engineering,1977,10(1/2):1-54.
[3]ZHAO J.Joint surface matching and shear strength part A:joint matching coefficient(JMC)[J].International Journal of Rock Mechanics and Mining Sciences,1997,34(2):173-178.
[4]ZHAO J.Joint matching and shear strength.part B.Shear strength and JRC-JMC model[J].International Journal of Rock Mechanics and Mining Sciences,1997,34(2):179-185.
[5]陈世江,朱万成,王创业,等.岩体结构面粗糙度系数定量表征研究进展[J].力学学报,2017,49(2):239-256.CHEN Shi-jiang,ZHU Wan-cheng,WANG Chuang-ye,et al.Review of research progresses of the quantifying joint roughness coefficient[J].Chinese Journal of Theoretical and Applied Mechanics,2017,49(2):239-256.
[6]唐志成,刘泉声,刘小燕.节理的剪切力学性质与含三维形貌参数的剪切强度准则比较研究[J].岩土工程学报,2014,36(5):873-879.TANG Zhi-cheng,LIU Quan-sheng,LIU Xiao-yan.Shear behavior of rock joints and comparative study on shear strength criteria with three-dimensional morphology parameters[J].Chinese Journal of Geotechnical Engineering,2014,36(5):873-879.
[7]唐志成,夏才初,宋英龙.粗糙节理的峰值抗剪强度准则[J].岩土工程学报,2013,35(3):571-577.TANG Zhi-cheng,XIA Cai-chu,SONG Ying-long.New peak shear strength criteria for roughness joints[J].Chinese Journal of Geotechnical Engineering,2013,35(3):571-577.
[8]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.
[9]GRASSELLI G.Manuel rocha medal recipient shear strength of rock joints based on quantified surface description[J].Rock Mechanics and Rock Engineering,2006,39(4):295.
[10]GRASSELLI 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.
[11]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
[12]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 Zhi-cheng,XIA Cai-chu,SONG Ying-long,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.
[13]YANG J,RONG G,HOU D,et al.Experimental study on peak shear strength criterion for rock joints[J].Rock Mechanics and Rock Engineering,2016,49(3):821-835.
[14]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.
[15]TANG Zhi-cheng,LIU Quan-sheng,HUANG Ji-hui.New criterion for rock joints based on three-dimensional roughness parameters[J].Journal of Central South University,2014,21(12):4653-4659.
[16]ZHANG X,JIANG Q,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.
[17]GHAZVINIAN A H.Importance of tensile strength on the shear behavior of discontinuities[J].Rock Mechanics and Rock Engineering,2012,45(3):349-359.
[18]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Δφ”的新方法[J].岩土力学,2014,35(2):551-555.TANG Zhi-cheng,LIU Quan-sheng,XIA Cai-chu,et al.Anew method for calculating roughness angleΔφin Maksimovic peak shear strength criterion of rock joints[J].Rock and Soil Mechanics,2014,35(2):551-555.
[19]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(增刊1):233-237.TANG Zhi-cheng,LIU Quan-sheng,HUANG Ji-hui,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.
[20]MAKSIMOVI?M.New description of the shear strength for rock joints[J].Rock Mechanics and Rock Engineering,1992,25(4):275-284.
[21]TATONE B S,GRASSELLI G.A method to evaluate the three-dimensional roughness of fracture surfaces in brittle geomaterials[J].Review of Scientific Instruments,2009,80(12):125110.
[22]JING L.Numerical modeling of jointed rock masses by distinct element method for two-and three-dimensional problems[Ph.D.Thesis D].Lulea,Sweden:Lulea University of Technology,1990.
[23]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):2115-2133.
[24]蔡美峰,何满潮,刘东燕.岩石力学与工程[M].北京:科学出版社,2013:34-35.CAI Mei-feng,HE Man-chao,LIU Dong-yan.Rock mechanics and engineering[M].Beijing:Science Press,2013:34-35.