A generalized nonlinear three-dimensional Hoek‒Brown failure criterion  

作　　者：Jiaxin Wang Shunchuan Wu Haiyong Cheng Junlong Sun Xiaolong Wang Yaxi Shen 

机构地区：[1]Faculty of Land Resource Engineering,Kunming University of Science and Technology,Kunming,650093,China [2]Key Laboratory of Geohazard Forecast and Geoecological Restoration in Plateau Mountainous Area,Ministry of Natural Resources,Kunming,650093,China [3]Yunnan Key Laboratory of Geohazard Forecast and Geoecological Restoration in Plateau Mountainous Area,Kunming,650093,China

出　　处：《Journal of Rock Mechanics and Geotechnical Engineering》2024年第8期3149-3164,共16页岩石力学与岩土工程学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.51934003,52334004);Yunnan Major Scientific and Technological Projects(Grant No.202202AG050014)。

摘　　要：To understand the strengths of rocks under complex stress states,a generalized nonlinear threedimensional(3D)Hoek‒Brown failure(NGHB)criterion was proposed in this study.This criterion shares the same parameters with the generalized HB(GHB)criterion and inherits the parameter advantages of GHB.Two new parameters,b,and n,were introduced into the NGHB criterion that primarily controls the deviatoric plane shape of the NGHB criterion under triaxial tension and compression,respectively.The NGHB criterion can consider the influence of intermediate principal stress(IPS),where the deviatoric plane shape satisfies the smoothness requirements,while the HB criterion not.This criterion can degenerate into the two modified 3D HB criteria,the Priest criterion under triaxial compression condition and the HB criterion under triaxial compression and tension condition.This criterion was verified using true triaxial test data for different parameters,six types of rocks,and two kinds of in situ rock masses.For comparison,three existing 3D HB criteria were selected for performance comparison research.The result showed that the NGHB criterion gave better prediction performance than other criteria.The prediction errors of the strength of six types of rocks and two kinds of in situ rock masses were in the range of 2.0724%-3.5091%and 1.0144%-3.2321%,respectively.The proposed criterion lays a preliminary theoretical foundation for prediction of engineering rock mass strength under complex in situ stress conditions.

关 键 词：Rock mechanics HoekeBrown criterion Failure criterion Intermediate principal stress True triaxial test Smoothness and convexity 

分 类 号：TU45[建筑科学—岩土工程]