Coal Geology & Exploration


In order to evaluate accurately the rock strength under different confining pressures, a negative power rock strength criterion was proposed according to the upward convex nonlinear relationship between deviator stress and confining pressure during rock failure. The accuracy of the proposed criterion was compared with Mohr-Coulomb criterion and Hoek-Brown criterion. The results showed that the parameters of the negative power criterion are less sensitive to the range of confining pressure, and the negative power criterion could evaluate rock triaxial strength with higher precision. Meanwhile, the applicability of the proposed criterion was verified by using an extensive database of rock triaxial strength tests from literatures. The results showed that the evaluated strength values were very consistent with the test strength values. Thus, the negative power criterion has good applicability to evaluate the triaxial strength of different types of rock. Furthermore, by comparing with the exponential criterion, regarded as an outstanding criterion in rock engineering, the mean relative errors of the rock strengths evaluated by the two criteria were all within 5%, and the negative power criterion has higher accuracy in predicting rock triaxial strength. The proposed criterion can provide scientific reference for the design of exaction and support in deep rock engineering.


triaxial strength, strength criterion, nonlinear, exponential criterion, negative power criterion




[1] 俞茂宏,昝月稳,徐栓强. 岩石强度理论及其应用[M]. 北京:科学出版社,2019. YU Maohong,ZAN Yuewen,XU Shuanqiang. Rock strength theory and its application[M]. Beijing:Science Press,2019.

[2] 王云飞,郑晓娟,焦华喆,等. 砂岩试验强度与强度准则预测结果对比分析[J]. 煤田地质与勘探,2016,44(5):122-125. WANG Yunfei,ZHENG Xiaojuan,JIAO Huazhe,et al. Comparative analysis of sandstone experiment strength and different strength criteria prediction results[J]. Coal Geology & Exploration,2016,44(5):122-125.

[3] 田延哲. 基于Hoek-Brown准则的冻融循环条件下露天煤矿边坡岩体力学系数修正[J]. 煤田地质与勘探,2018,46(6):150-156. TIAN Yanzhe. Hoek-Brown criterion-based modification of the mechanical parameters of rock mass of open pit slope under freezing-thawing cycle[J]. Coal Geology & Exploration,2018,46(6):150-156.

[4] 汪斌,朱杰兵,邬爱清,等. 高应力下岩石非线性强度特性的试验验证[J]. 岩石力学与工程学报,2010,29(3):542-548. WANG Bin,ZHU Jiebing,WU Aiqing,et al. Experimental validation of nonlinear strength property of rock under high geostress[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(3):542-548.

[5] 方薇. 一种非饱和土的非线性抗剪强度包络壳模型[J]. 岩石力学与工程学报,2018,37(11):2601-2609. FANG Wei. A nonlinear shearing strength envelope shell model for unsaturated soils[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(11):2601-2609.

[6] HOEK E. Strength of jointed rock masses[J]. Géotechnique,1983,33(3):187-223.

[7] 孔志鹏,孙海霞,陈四利. 岩石材料的一种非线性三参数强度准则及应用[J]. 岩土力学,2017,38(12):3524-3531. KONG Zhipeng,SUN Haixia,CHEN Sili. A nonlinear tri-parameter strength criterion for rock materials and its application[J]. Rock and Soil Mechanics,2017,38(12):3524-3531.

[8] 昝月稳,俞茂宏. 岩石广义非线性统一强度理论[J]. 西南交通大学学报,2013,48(4):616-624. ZAN Yuewen,YU Maohong. Generalized nonlinear united strength theory of rock[J]. Journal of Southwest Jiaotong University,2013,48(4):616-624.

[9] YOU Mingqing. Three independent parameters to describe conventional triaxial compressive strength of intact rocks[J]. Journal of Rock Mechanics and Geotechnical Engineering,2010,2(4):350-356.

[10] SINGH M,RAJ A,SINGH B. Modified Mohr-Coulomb criterion for non-linear triaxial and polyaxial strength of intact rocks[J]. International Journal of Rock Mechanics and Mining Sciences,2011,48(4):546-555.

[11] 杨圣奇,陆家炜,田文岭,等. 不同节理粗糙度类岩石材料三轴压缩力学特性试验研究[J]. 岩土力学,2018,39(增刊1):21-32. YANG Shengqi,LU Jiawei,TIAN Wenling,et al. Experimental study of mechanical behavior of rock specimens with different joint roughness coefficient under conventional triaxial compression[J]. Rock and Soil Mechanics,2018,39(S1):21-32.

[12] DASSANAYAKE A B N,FUJII Y,FUKUDA D,et al. A new approach to evaluate effective stress coefficient for strength in Kimachi sandstone[J]. Journal of Petroleum Science and Engineering,2015,131:70-79.

[13] BEHNAM Y B,DANIAL J A,MOHD FOR M A. Strength characterization of shale using Mohr-Coulomb and Hoek-Brown criteria[J]. Measurement,2015,63:269-281.

[14] BOZORGZADEH N,ESCOBAR M D,HARRISON J P. Comprehensive statistical analysis of intact rock strength for reliability-based design[J]. International Journal of Rock Mechanics and Mining Sciences,2018,106:374-387.

[15] 李斌,许梦国,刘艳章. 临界状态围压在岩石强度准则改进中的应用[J]. 岩土力学,2016,37(2):390-398. LI Bin,XU Mengguo,LIU Yangzhang. Application of critical state confining pressure to rock strength criteria modification[J]. Rock and Soil Mechanics,2016,37(2):390-398.

[16] BARTON N. The shear strength of rock and rock joints[J]. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts,1976,13(9):255-279.

[17] 李斌,刘艳章,林坤峰. 非线性Mohr-Coulomb准则适用范围及其改进研究[J]. 岩土力学,2016,37(3):637-646. LI Bin,LIU Yanzhang,LIN Kunfeng. Application scope of nonlinear Mohr-Coulomb criterion and its modification[J]. Rock and Soil Mechanics,2016,37(3):637-646.

[18] KIYOO M. Experimental rock mechanics[M]. London:Taylor and Francis,2006.

[19] GOWD T N,RUMMEL F. Effect of confining pressure on the fracture behavior of a porous rock[J]. International Journal of Rock Mechanics and Mining Sciences & Gemechanics Abstracts,1980,37(2):225-229.

[20] KARMAN T V. Festigkeitsversuche unter allseitigem Druck[J]. Zeitschrift Verein Deutsche Ingenieure,1911(55):1749-1757.

[21] OUYANG Z,ELSWORTH D. A phenomenological failure criterion for brittle rock[J]. Rock Mechanics and Rock Engineering,1991,24(3):133-153.

[22] YOU Mingqing. 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.

[23] BESUELLE P,DESRUES J,RAYNAUD S. Experimental characterisation of the localisation phenomenon inside a Vosges sandstone in a triaxial cell[J]. International Journal of Rock Mechanics and Mining Sciences,2000,37(8):1223-1237.

[24] 尤明庆. 岩石强度准则的数学形式和参数确定的研究[J]. 岩石力学与工程学报,2010,29(11):2172-2184. YOU Mingqing. Study of mathematical equation and parameter determination of strength criteria for rock[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(11):2172-2184.

[25] YOU Mingqing. 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.



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