Abstract:The twin-shear theory with a series of equations has not been compared directly with other true triaxial strength criteria on misfits for test data,although it has been studied thoroughly and applied widely in engineering. Linear and nonlinear unified strength theories are constructed with principal stresses. Parameters in various strength criteria are determined using true triaxial strengths,conventional compression and extension strengths as well. The theories present high mean misfits for test data,and cannot describe nonlinear increasing of conventional compression and extension strength with the minor principal stress,and the effect of the intermediate principal stress on strength. The nonlinear theory with two implicit equations of principal stresses is not friendly in calculation. The unified strength theories are not available in determining geostresses from borehole collapses and wellbore stability,as strength of rocks are extremely over-estimated at low minor principal stress.
[1] MOGI K. Experimental rock mechanics[M]. London:Taylor and Francis,2007:51–185.
[2] HAIMSON B. True triaxial stresses and the brittle fracture of rock[J]. Pure and Applied Geophysics,2006,163(5/6):1 101–1 130.
[3] Al-AJMI A M,ZIMMERMAN R W. Stability analysis of vertical boreholes using the Mogi-Coulomb failure criterion[J]. International Journal of Rock Mechanics and Mining Sciences,2006,43(8):1 200–1 211.
[4] 俞茂宏,ODA Y,盛 谦,等. 统一强度理论的发展及其在土木水利等工程中的应用和经济意义[J]. 建筑科学与工程学报,2005,22(1):24–41.(YU Maohong,ODA Y,SHENG Qian,et al. Development of unified strength theory and its application in civil engineering and its economic significance[J]. Journal of Architecture and Civil Engineering,2005,22(1):24–41.(in Chinese))
[5] 俞茂宏. 双剪理论及其应用[M]. 北京:科学出版社,1998:247–288.(YU Maohong. Twin-shear theory and its application[M]. Beijing:Science Press,1998:247–288.(in Chinese))
[6] 俞茂宏. 线性和非线性的统一强度理论[J]. 岩石力学与工程学报,2007,26(4):662–669.(YU Maohong. Linear and nonlinear unified strength theory[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(4):662–669.(in Chinese))
[7] YU M H,XIA G Y,KOLUPAEV V A. Basic characteristics and development of yield criteria for geomaterials[J]. Journal of Rock Mechanics and Geotechnical Engineering,2009,1(1):71–88.
[8] 昝月稳,俞茂宏,赵 坚,等. 高应力状态下岩石非线性统一强度理论[J]. 岩石力学与工程学报,2004,23(13):2 143–2 148. (ZAN Yuewen,YU Maohong,ZHAO Jian,et al. Nonlinear unified strength theory of rock under high stress state[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(13):2 143–2 148.(in Chinese))
[9] 周小平,张永兴. 基于非线性统一强度理论的裂隙岩体圆形隧道扩张问题的弹塑性研究[J]. 应用力学学报,2006,23(3):373–376. (ZHOU Xiaoping,ZHANG Yongxing. Analysis of slip zones around circular cavities in cracked rock masses following general nonlinear unified strength criterion[J]. Chinese Journal of Applied Mechanics,2006,23(3):373–376.(in Chinese))
[10] 隋凤涛,王士杰. 统一强度理论在地基承载力确定中的应用研究[J]. 岩土力学,2011,32(10):3 038–3 042.(SUI Fengtao,WANG Shijie. Research on application of unified strength theory to determining of bearing capacity of foundations[J]. Rock and Soil Mechanics,2011,32(10):3 038–3 042.(in Chinese))
[11] 张 强,王红英,王水林,等. 基于统一强度理论的破裂围岩劣化弹塑性分析[J]. 煤炭学报,2010,35(3):381–386.(ZHANG Qiang,WANG Hongying,WANG Shuilin,et al. Deterioration elasto-plastic analysis of cracked surrounding rocks based on unified strength theory[J]. Journal of China Coal Society,2010,35(3):381–386. (in Chinese))
[12] 张常光,赵均海,张庆贺. 基于统一强度理论的深埋圆形岩石隧道收敛限制分析[J]. 岩土工程学报,2012,34(1):110–114. (ZHANG Changguang,ZHAO Junhai,ZHANG Qinghe. Convergence- confinement analysis of deep circular rock tunnels based on unified strength theory[J]. Chinese Journal of Geotechnical Engineering,2012,34(1):110–114.(in Chinese))
[13] 尤明庆. 统一强度理论的试验数据拟合及评价[J]. 岩石力学与工程学报,2008,27(11):2 193–2 204.(YOU Mingqing. Fitting and evaluation of test data using unified strength theory[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(11):2 193– 2 204.(in Chinese))
[14] SAVAGE J C,BYERLEE J D,LOCKNER D A. Is internal friction friction?[J]. Geophysical Research Letters,1996,23(5):487–490.
[15] YOU M Q. True-triaxial strength criteria for rock[J]. International Journal of Rock Mechanics and Mining Sciences,2009,46(1):115–127.
[16] COLMENARES L B,ZOBACK M D. A statistical evaluation of intact rock failure criteria constrained by polyaxial test data for five different rocks[J]. International Journal of Rock Mechanics and Mining Sciences,2002,39(6):695–729.
[17] HAIMSON B,CHANG C. A new true triaxial cell for testing mechanical properties of rock,and its use to determine rock strength and deformability of Westerly granite[J]. International Journal of Rock Mechanics and Mining Sciences,2000,37(1/2):285–296.
[18] YOU M Q. Mechanical characteristics of the exponential strength criterion under conventional triaxial stresses[J]. International Journal of Rock Mechanics and Mining Sciences,2010,47(2):195–204.
[19] YOU M Q. Comparison of the accuracy of some conventional triaxial strength criteria for intact rock[J]. International Journal of Rock Mechanics and Mining Sciences,2011,48 (5):852–863.
[20] 尤明庆. 单参数的正则抛物线准则[J]. 岩石力学与工程学报,2012,31(8):1 580–1 586.(YOU Mingqing. Normal parabolic criterion with a single parameter[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(8):1 580–1 586.(in Chinese))
[21] LI X,SHI L,BAI B,et al. True-triaxial testing techniques of rocks-State of the art and future perspectives[C]// KWASNIEWSKI M,LI X,TAKAHASHI M ed. Proceedings of True Triaxial Testing of Rocks. London:CRC Press,2012:3–18.(in Chinese))
[22] YOU M Q. Three independent parameters to describe conventional triaxial compression strength of intact rocks[J]. Journal of Rock Mechanics and Geotechnical Engineering,2010,2(4):350–356.