Abstract
To investigate the strength and failure characteristics of rock mass, 3D discrete element method (DEM) is used in this study to conduct numerous simulated true triaxial compression tests on jointed marble. Three series of tests are carried out to study the influence of the intermediate principal stress and the joint inclined angle on the macroscopic mechanical characteristics. The DEM simulation results reveal that the strength and failure mechanism have a strong dependency on the intermediate principal stress except for the specimen with the inclined angle of 60° and the joint parallel to the intermediate principal stress direction. In addition, the influence of the joint inclined angle on the strength and failure characteristics is significant except for the specimen with the joint parallel to the minimum principal stress direction. Tensile cracks are the dominant failure mechanism. Based on a 3D true triaxial failure criterion, the simulated strength data can be predicted using four empirical parameters.
References
Alejano LR, Arzúa J, Bozorgzadeh N, Harrison JP (2017) Triaxial strength and deformability of intact and increasingly jointed granite samples. Int J Rock Mech Min Sci 95:87–103
Barton N (1976) Shear strength of rock and rock joints. Int J Rock Mech Min Sci Geomech Abstr 13(9):255–279
Brown ET, Trollope DH (1970) Strength of a model of jointed rock. J Soil Mech Found Div 96:685–704
Chang C, Haimson B (2005) Non-dilatant deformation and failure mechanism in two long valley caldera rocks under true triaxial compression. Int J Rock Mech Min 42(3):402–414
Duan K, Kwok CY, Ma X (2017) DEM simulations of sandstone under true triaxial compressive tests. Acta Geotech 12(3):495–510
Einstein HH, Hirschfeld RC (1973) Model studies on mechanics of jointed rock. J Soil Mech Found Div 3(3):229–248
Feng XT, Zhang XW, Kong R, Wang G (2016) A novel Mogi type true triaxial testing apparatus and its use to obtain complete stress–strain curves of hard rocks. Rock Mech Rock Eng 49(5):1649–1662
Feng XT, Kong R, Yang CX, Zhang XW, Wang ZF, Han Q, Wang G (2020) A three-dimensional failure criterion for hard rocks under true triaxial compression. Rock Mech Rock Eng 53:103–111
Gao YH, Feng XT, Zhang XW, Feng GL, Jiang Q, Qiu SL (2018) Characteristic stress levels and brittle fracturing of hard rocks subjected to true triaxial compression with low minimum principal stress. Rock Mech Rock Eng 51(12):3681–3697
Gao YH, Feng XT, Wang ZF, Zhang XW (2020) Strength and failure characteristics of jointed marble under true triaxial compression. Bull Eng Geol Environ 79(2):891–905
Haimson BC, Chang C (2002) True triaxial strength of the KTB amphibolite under borehole wall conditions and its use to estimate the maximum horizontal in situ stress. J Geophys Res 107(B10):ETG 15-1-ETG 15-14
He MC, Miao JL, Feng JL (2010) Rock burst process of limestone and its acoustic emission characteristics under true-triaxial unloading conditions. Int J Rock Mech Min Sci 47(2):286–298
Hoek E, Brown ET (1997) Practical estimates of rock mass strength. Int J Rock Mech Min Sci Geomech Abstr 34(8):1165–1187
Itasca (2014) Particle flow code in three dimensions, 5th edn. Itasca Consulting Group, Minneapolis
Li X, Du K, Li D (2015) True triaxial strength and failure modes of cubic rock specimens with unloading the minor principal stress. Rock Mech Rock Eng 48(6):2185–2196
Jiang Y, Xiao J, Tanabashi Y, Mizokami T (2004) Development of an automated servo-controlled direct shear apparatus applying a constant normal stiffness condition. Int J Rock Mech Min Sci 41(2):275–286
Lanru J (2003) A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering. Int J Rock Mech Min Sci 40(3):283–353
Kapang P, Walsri C, Sriapai T, Fuenkajorn K (2013) Shear strengths of sandstone fractures under true triaxial stresses. J Struct Geol 48:57–71
Kulatilake PHSW, Liang J, Gao H (2001) Experimental and numerical simulations of jointed rock block strength under uniaxial loading. J Eng Mech 127(12):1240–1247
Kwàsniewski MA, Mogi K (1990) Effect of the intermediate principal stress on the failure of a foliated anisotropic rock. In: Rossmanith HP (ed) Proceedings of the international conference on mechanism jointed and faulted rock. Rotterdam, Balkema, pp 407–416
Mehranpour MH, Kulatilake PHSW (2016) Comparison of six major intact rock failure criteria using a particle flow approach under true-triaxial stress condition. Geomech Geophys Geo-energ Geo-resour 2(4):203–229
Mogi K (1971) Fracture and flow of rocks under high triaxial compression. J Geophys Re-Atmos 76(5):1255–1269
Muralha J, Grasselli G, Tatone B, Blümel M, Chryssanthakis P, Jiang Y (2014) ISRM suggested method for laboratory determination of the shear strength of rock joints: revised version. Rock Mech Rock Eng 47(1):291–302
Nasseri MHB, Rao KS, Ramamurthy T (2003) Anisotropic strength and deformation behavior of Himalayan schists. Int J Rock Mech Min Sci 40(1):3–23
Pan PZ, Feng XT, Hudson JA (2012) The influence of the intermediate principal stress on rock failure behaviour: a numerical study. Eng Geol 124:109–118
Reik G, Zacas M (1978) Strength and deformation characteristics of jointed media in true triaxial compression. Int J Rock Mech Min Sci Geomech Abstr 15(6):295–303
Singh M, Rao KS, Ramamurthy T (2002) Strength and deformational behaviour of a jointed rock mass. Rock Mech Rock Eng 35(1):45–64
Tiwari RP, Rao KS (2006) Post failure behaviour of a rock mass under the influence of triaxial and true triaxial confinement. Eng Geol 84:112–129
Xia L, Zeng Y (2018) Parametric study of smooth joint parameters on the mechanical behavior of transversely isotropic rocks and research on calibration method. Comput Geotech 98:1–7
Zhang S, Wu S, Duan K (2019) Study on the deformation and strength characteristics of hard rock under true triaxial stress state using bonded-particle model. Comput Geotech 112:1–16
Zhang Y, Feng XT, Yang CX, Zhang XW, Sharifzadeh M, Wang ZF (2019) Fracturing evolution analysis of Beishan granite under true triaxial compression based on acoustic emission and strain energy. Int J Rock Mech Min Sci 117:150–161
Acknowledgements
The authors are grateful to the financial support from the National Natural Science Foundation of China (No. 51679215) and the China Postdoctoral Science Foundation (No. 2021M691000). The authors sincerely acknowledge the support from Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University. The authors declare no conflict of interest as far as the author is concerned.
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Gao, Y., Wang, K. & Zhou, C. A numerical study on true triaxial strength and failure characteristics of jointed marble. Acta Geotech. 17, 2001–2020 (2022). https://doi.org/10.1007/s11440-021-01300-y
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DOI: https://doi.org/10.1007/s11440-021-01300-y