A new nonlinear empirical strength criterion for rocks under conventional triaxial compression

The failure criterion of rocks is a critical factor involved in reliability design and stability analysis of geotechnical engineering. In order to accurately evaluate the triaxial compressive strength of rocks under different confining pressures, a nonlinear empirical strength criterion based on Mohr-Coulomb criterion was proposed in this paper. Through the analysis of triaxial test strength of 11 types of rock materials, the feasibility and validity of proposed criterion was discussed. For a further verification, six typical strength criteria were selected, and the prediction results of each criterion and test results were statistically analyzed. The comparative comparison results show that the prediction results obtained by applying this new criterion to 97 conventional triaxial compression tests of 11 different rock materials are highly consistent with the experimental data. Statistical analysis was executed to assess the application of the new criterion and other classical criteria in predicting the failure behavior of rock. This proposed empirical criterion provides a new reference and method for the determination of triaxial compressive strength of rock materials.

[1]  Mingqing You Comparison of the accuracy of some conventional triaxial strength criteria for intact rock , 2011 .

[2]  T. Kármán Festigkeitsversuche unter allseitigem Druck , 1912 .

[3]  J. Meng,et al.  Mechanical behavior around double circular openings in a jointed rock mass under uniaxial compression , 2020, Archives of Civil and Mechanical Engineering.

[4]  M. H. B. Nasseri,et al.  Anisotropic strength and deformational behavior of Himalayan schists , 2003 .

[5]  Xibing Li,et al.  Dynamic Mechanical Properties and Fracturing Behavior of Marble Specimens Containing Single and Double Flaws in SHPB Tests , 2018, Rock Mechanics and Rock Engineering.

[6]  S. Qu,et al.  Analysis of ductile fracture by extended unified strength theory , 2018 .

[7]  Zhiye Zhao,et al.  Strength and failure characteristics of jointed rock mass with double circular holes under uniaxial compression: Insights from discrete element method modelling , 2020 .

[8]  Evert Hoek,et al.  Practical estimates of rock mass strength , 1997 .

[9]  Thomas Benz,et al.  A quantitative comparison of six rock failure criteria , 2008 .

[10]  Pengju Chen,et al.  Statistic evaluation of failure criteria in wellbore stability with temperature effects , 2019, Fuel.

[11]  S. Du,et al.  Nonlinear shear constitutive model for peak shear-type joints based on improved Harris damage function , 2020, Archives of Civil and Mechanical Engineering.

[12]  J. Labuz,et al.  Mohr–Coulomb Failure Criterion , 2012, Rock Mechanics and Rock Engineering.

[13]  Guan Chen,et al.  Stress-drop effect on brittleness evaluation of rock materials , 2019, Journal of Central South University.

[14]  P. Kulatilake,et al.  Development of New Three-Dimensional Rock Mass Strength Criteria , 2018, Rock Mechanics and Rock Engineering.

[15]  Huiming Tang,et al.  A Parabolic Failure Criterion for Transversely Isotropic Rock: Modification and Verification , 2019, Mathematical Problems in Engineering.

[16]  Pinnaduwa H.S.W. Kulatilake,et al.  REV and its properties on fracture system and mechanical properties, and an orthotropic constitutive model for a jointed rock mass in a dam site in China , 2012 .

[17]  Mahendra Singh,et al.  Modified Mohr–Coulomb criterion for non-linear triaxial and polyaxial strength of jointed rocks , 2011 .

[18]  F. Gao,et al.  Novel 3D Failure Criterion for Rock Materials , 2019, International Journal of Geomechanics.

[19]  F. Rummel,et al.  Effect of confining pressure on the fracture behaviour of a porous rock , 1980 .

[20]  T. Ramamurthy,et al.  Strength predictions for jointed rocks in confined and unconfined states , 1994 .

[21]  Xiaoping Zhou,et al.  Failure behavior and crack evolution mechanism of a non-persistent jointed rock mass containing a circular hole , 2019, International Journal of Rock Mechanics and Mining Sciences.

[22]  Mingqing You Mechanical characteristics of the exponential strength criterion under conventional triaxial stresses , 2010 .

[23]  Mao-Hong Yu,et al.  Advances in strength theories for materials under complex stress state in the 20th Century , 2002 .

[24]  Hua Jiang,et al.  A three‐dimensional Hoek–Brown failure criterion based on an elliptical Lode dependence , 2020, International Journal for Numerical and Analytical Methods in Geomechanics.

[25]  Sérgio A. B. da Fontoura Lade and Modified Lade 3D Rock Strength Criteria , 2012, Rock Mechanics and Rock Engineering.

[26]  A. M. Comanici,et al.  Modification of Mohr's criterion in order to consider the effect of the intermediate principal stress , 2018, International Journal of Plasticity.

[27]  D. Elsworth,et al.  A phenomenological failure criterion for brittle rock , 1991 .

[28]  Hang Lin,et al.  The effect of cross-section shape on deformation, damage and failure of rock-like materials under uniaxial compression from both a macro and micro viewpoint , 2020 .

[29]  P. Cao,et al.  An elasto-visco-plastic model based on stress functions for deformation and damage of water-saturated rocks during the freeze-thaw process , 2020 .

[30]  S. Fontoura Lade and Modified Lade 3D Rock Strength Criteria , 2012 .

[32]  Kecheng Zhang,et al.  Experimental study of the mechanical, energy conversion and frictional heating characteristics of locking sections , 2020 .

[33]  Evert Hoek,et al.  Strength of jointed rock masses , 1983 .

[34]  Yung-ming Cheng,et al.  Size Effects in a Transversely Isotropic Rock Under Brazilian Tests: Laboratory Testing , 2020, Rock Mechanics and Rock Engineering.

[35]  Mingqing You Three independent parameters to describe conventional triaxial compressive strength of intact rocks , 2010 .

[36]  Xiangchao Shi,et al.  Modified Hoek–Brown failure criterion for anisotropic rocks , 2016, Environmental Earth Sciences.

[37]  S. Du,et al.  Analytical and numerical analysis for frost heaving stress distribution within rock joints under freezing and thawing cycles , 2020, Environmental Earth Sciences.

[38]  Kiyoo Mogi,et al.  Experimental Rock Mechanics , 2006 .

[39]  J. Zuo,et al.  Crack evolution behavior of rocks under confining pressures and its propagation model before peak stress , 2019, Journal of Central South University.

[40]  Z. Zou,et al.  Analysis and Forecasting of the Energy Consumption in Wastewater Treatment Plant , 2019, Mathematical Problems in Engineering.

[41]  Pierre Bésuelle,et al.  Experimental characterisation of the localisation phenomenon inside a Vosges sandstone in a triaxial cell , 2000 .

[42]  J. Labuz,et al.  Brittle failure of rock: A review and general linear criterion , 2018, Journal of Structural Geology.

[43]  Mark D. Zoback,et al.  A statistical evaluation of intact rock failure criteria constrained by polyaxial test data for five different rocks , 2002 .

[44]  Chaoshui Xu,et al.  A Simplified Failure Criterion for Intact Rocks Based on Rock Type and Uniaxial Compressive Strength , 2014, Rock Mechanics and Rock Engineering.

[45]  Hua Jiang,et al.  Three-Dimensional Failure Criteria for Rocks Based on the Hoek–Brown Criterion and a General Lode Dependence , 2017 .