Estimation of Tensile Strength for Granitic Rocks by Using Discrete Element Approach

Tensile strength which is an important parameter of the rock for engineering applications is difficult to measure directly through physical experiment (i.e. uniaxial tensile test). Therefore, indirect experimental methods such as Brazilian test have been taken into consideration and some relations have been proposed in order to obtain the tensile strength for rocks indirectly. In this research, to calculate numerically the tensile strength for granitic rocks, Particle Flow Code in three-dimension (PFC3D) software were used. First, uniaxial compression tests were simulated and the tensile strength was determined for Inada granite (from a quarry in Kasama, Ibaraki, Japan). Then, by simulating Brazilian test condition for Inada granite, the tensile strength was indirectly calculated again. Results show that the tensile strength calculated numerically agrees well with the experimental results obtained from uniaxial tensile tests on Inada granite samples.

• Aliakbar Golshani
• Armin Ramezanzad

• Numerical Simulation
• PFC
• Tensile Strength
• Brazilian Test.

[1] Ewy RT (1999) Wellbore-stability predictions by use of a modified Lade criterion. SPE Drill Complet 14(02):85–91
[2] Cundall PA (1971) A computer model for simulating progressive large scale movements in blocky rock systems. In: Proceedings of the symposium of international society of rock mechanics
[3] Cundall PA, Strack OD (1979) A discrete numerical model for granular assemblies. Geotechnique 29(1):47–65. doi:10. 1680/geot.1979.29.1.47
[4] Potyondy DO, Cundall PA (2004) A bonded-particle model for rock. Int J Rock Mech Min Sci 41(8):1329–1364. doi:10.1016/j.
[5] Scholte`s L, Donze´F-V (2013) A DEM model for soft and hard rocks: role of grain interlocking on strength. J Mech Phys Solids61(2):352–369. doi: 10.1016/j.jmps.2012.10.005
[6] Yang X, Kulatilake PHSW, Jing H, Yang S (2015) Numerical simulation of a jointed rock block mechanical behavior adjacent to an underground excavation and comparison with physical model test results. Tunn Undergr Space Technol 50:129–142. doi: 10.1016/j.tust.2015.07.006
[7] Golshani, A., Y. Okui, M. Oda, and T. Takemura, A micromechanical model for brittle failure of rock and its relation to crack growth observed in triaxial compression tests of granite. Mechanics of Materials, 2006. 38(4): p. 287-303.
[8] Jing L (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. doi:10. 1016/s1365-1609(03)00013-3
[9] Jing L, Hudson J (2002) Numerical methods in rock mechanics. Int J Rock Mech Min Sci 39(4):409–427. doi:10.1016/S13651609(02)00065-5
[10] Ivars DM, Pierce ME, Darcel C, Reyes-Montes J, Potyondy DO, Young RP, Cundall PA (2011) The synthetic rock mass approach for jointed rock mass modelling. Int J Rock Mech Min Sci 48(2):219–244. doi:10.1016/j.ijrmms.2010.11.014
[11] Pierce M, Cundall P, Potyondy D, Mas Ivars D (2007) A synthetic rock mass model for jointed rock. In: Rock mechanics: meeting society’s challenges and demands, 1st Canada-US rock mechanics symposium, Vancouver, 1:341–349
[12] Yang B, Jiao Y, Lei S (2006) A study on the effects of microparameters on macroproperties for specimens created by bonded particles. Eng Comput 23(6):607–631. doi:10.1108/ 02644400610680333.