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http://dx.doi.org/10.12989/sem.2019.69.1.051

Simulation of the tensile behaviour of layered anisotropy rocks consisting internal notch  

Sarfarazi, Vahab (Department of Mining Engineering, Hamedan University of Technology)
Haeri, Hadi (Young Researchers and Elite Club, Bafgh Branch, Islamic Azad University)
Ebneabbasi, P. (Civil Engineering Department, Islamic Azad University)
Bagheri, Kourosh (Department of Civil Engineering, Malard Branch, Islamic Azad University)
Publication Information
Structural Engineering and Mechanics / v.69, no.1, 2019 , pp. 51-67 More about this Journal
Abstract
In this paper, the anisotropy of tensile behaviours of layered rocks consisting internal notch has been investigated using particle flow code. For this purpose, firstly calibration of PFC2D was performed using Brazilian tensile strength. Secondly Brazilian test models consisting bedding layer was simulated numerically. Thickness of layers was 10 mm and layered angularity was $90^{\circ}$, $75^{\circ}$, $60^{\circ}$, $45^{\circ}$, $30^{\circ}$, $15^{\circ}$ and $0^{\circ}$. The strength of bedding interface was too high. Each model was consisted of one internal notch. Notch length is 1 cm, 2 cm and 4 cm and notch angularities are $60^{\circ}$, $45^{\circ}$, $30^{\circ}$, $15^{\circ}$ and $0^{\circ}$. Totally, 90 model were tested. The results show that failure pattern was affected by notch orientation and notch length. It's to be noted that layer angle has not any effect on the failure pattern. Also, Brazilian tensile strength is affected by notch orientation and notch length.
Keywords
notch; bedding layer; anisotropy; crack; Brazilian test; PFC2D;
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Times Cited By KSCI : 12  (Citation Analysis)
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1 Amadei, B. (1996), "Importance of anisotropy when estimating and measuring in situ stresses in rock", Int. J. Rock Mech. Min. Sci., 33(3), 293-325.   DOI
2 Bahaaddini, M., Hagan, P.C., Mitra, R. and Hebblewhite, B.K. (2014), "Scale effect on the shear behaviour of rock joints based on a numerical study", Eng. Geol., 181, 212-223.   DOI
3 Bahaaddini, M., Hagan, P.C., Mitra, R. and Hebblewhite, B.K. (2016a), "Numerical study of the mechanical behavior of nonpersistent jointed rock masses", Int. J. Geomech., 16(1), 1-10.
4 Bahaaddini, M., Hagan, P.C., Mitra, R. and Khosravi, M.H. (2016b), "Experimental and numerical study of asperity degradation in the direct shear test", Eng. Geol., 204, 41-52.   DOI
5 Boumaaza, M., Bezazi, A., Bouchelaghem, H., Benzennache, N., Amziane, S. and Scarpa, F. (2017), "Behavior of pre-cracked deep beams with composite materials repairs", Struct. Eng. Mech., 63(5), 575-583.   DOI
6 Haeri, H., Sarfarazi, V. and Hedayat, A. (2016a), "Suggesting a new testing device for determination of tensile strength of concrete", Struct. Eng. Mech., 60(6), 939-952.   DOI
7 Haeri, H., Khaloo, A. and Marji, M.F. (2015a), "Experimental and numerical simulation of the microcrack coalescence mechanism in rock-like materials", Strength Mater., 47(5), 740-754.   DOI
8 Haeri, H., Khaloo, A. and Marji, M.F. (2015b), "Fracture analyses of different pre-holed concrete specimens under compression", Acta Mech. Sinic., 31(6), 855-870.   DOI
9 Haeri, H., Khaloo, A. and Marji, M.F. (2015c), "A coupled experimental and numerical simulation of rock slope joints behavior", Arab. J. Geosci., 8(9), 7297-7308.   DOI
10 Haeri, H., Sarfarazi, V. and Lazemi, H. (2016b), "Experimental study of shear behavior of planar non-persistent joint", Comput. Concrete, 17(5), 639-653.   DOI
11 Haeri, H. and Sarfarazi, V. (2016), "The effect of non-persistent joints on sliding direction of rock slopes", Comput. Concrete, 17(6), 723-737.   DOI
12 Jia, P. and Tang, C.A. (2008), "Numerical study on failure mechanism of tunnel in jointed rock mass", Tunn. Undergr. Space Technol., 23(5), 500-507.   DOI
13 Jiang, Y., Tanabashi, Y., Li, B. and Xiao, J. (2006), "In fluence of geometrical distribution of rock joints on deformational behavior of underground opening", Tunn. Undergr. Space Technol., 21(5), 485-491.   DOI
14 Johansson, F. (2016), "Influence of scale and matedness on the peak shear strength of fresh, unweathered rock joints", Int. J. Rock Mech. Min. Sci., 82, 36-47.   DOI
15 Dan, D.Q., Konietzky, H. and Herbst, M. (2013), "Brazilian tensile strength tests on some ani-sotropic rocks", Int. J. Rock Mech. Min. Sci., 58, 1-7.   DOI
16 Cho, J.W., Kim, H., Jeon, S.W. and Min, K.B. (2012), "Deformation and strength anisotropy of Asan gneiss, Boryeong shale, and Yeoncheon schist", Int. J. Rock Mech. Min. Sci., 50, 158-169.   DOI
17 Dai, F., Wei, M.D., Xu, N.W., Zhao, T. and Xu, Y. (2015b), "Numerical investigation of the progressive fracture mechanisms of four ISRM-suggested specimens for determining the mode I fracture toughness of rocks", Comput. Geotech., 69, 424-441.   DOI
18 Dan, D.Q. and Konietzky, H. (2014), "Numerical simulations and interpretations of Brazilian tensile tests on transversely isotropic rocks", Int. J. Rock Mech. Min. Sci., 71, 53-63.   DOI
19 Duan, K. and Kwok, C.Y. (2015), "Discrete element modeling of anisotropic rock under Brazilian test conditions", Int. J. Rock Mech. Min. Sci., 78, 46-56.   DOI
20 Fortsakis, P., Nikas, K., Marinos, V. and Marinos, P. (2012), "Anisotropic behaviour of strati fied rock masses in tunneling", Eng. Geol., 141, 74-83.   DOI
21 Gholami, R. and Rasouli, V. (2014), "Mechanical and elastic properties of transversely isotropic slate", Rock Mech. Rock Eng., 47(5), 1763-1773.   DOI
22 Haeri, H., Sarfarazi, V., Fatehi, M., Hedayat, A. and Zhu, Z. (2016c), "Experimental and numerical study of shear fracture in brittle materials with interference of initial double", Acta Mech. Soil. Sinic., 29(5), 555-566.   DOI
23 Li, L.C., Xia, Y.J., Huang, B., Zhang, L.Y., Li, M. and Li, A.S. (2016), "The behaviour of fracture growth in sedimentary rocks: A numerical study based on hydraulic fracturing processes", Energies, 9(3), 169-197.   DOI
24 Kequan, Y.U. and Zhoudao, L.U. (2015), "Influence of softening curves on the residual fracture toughness of post-fire normal-strength concrete", Comput. Concrete, 15(2), 102-111.
25 Khanlari, G., Rafiei, B. and Abdilor, Y. (2015), "An experimental investigation of the Brazilian tensile strength and failure patterns of laminated sandstones", Rock Mech. Rock Eng., 48(2), 843-852.   DOI
26 Khosravi, A., Simon, R. and Rivard, P. (2017), "The shape effect on the morphology of the fracture surface induced by the Brazilian test", Int. J. Rock Mech. Min. Sci., 93, 201-209.   DOI
27 Lazear, G.D. (2009), "Fractures, convection and underpressure: Hydrogeology on the southern margin of the Piceance basin, west-central Colorado, USA", Hydrogeol. J., 17(3), 641-664.   DOI
28 Lee, J.W. and Lee, J.Y. (2018), "A transfer matrix method for in-plane bending vibrations of tapered beams with axial force and multiple edge cracks", Struct. Eng. Mech., 66(1), 125-138.   DOI
29 Li, X.L. (2013), "Timodaz: A successful international cooperation project to investigate the thermal impact on the EDZ around a radioactive waste disposal in clay host rocks", J. Rock Mech. Geotech. Eng., 5(3), 231-242.   DOI
30 Lisjak, A., Garitte, B., Grasselli, G., Muller, H.R. and Vietor, T. (2015), "The excavation of a circular tunnel in a bedded argillaceous rock (opalinus clay): Short-term rock mass response and FDEM numerical analysis", Tunn. Undergr. Space Technol., 45, 227-248.   DOI
31 Liu, K.D., Liu, Q.S., Zhu, Y.G. and Liu, B. (2013), "Experimental study of coal considering directivity effect of bedding plane under Brazilian splitting and uniaxial compression", Chin. J. Rock Mech. Eng., 32(2), 308-316.
32 Ma, T., Wu, B., Fu, J., Zhang, Q. and Chen, P. (2017b), "Fracture pressure prediction for layered formations with anisotropic rock strengths", J. Nat. Gas Sci. Eng., 38, 485-503.   DOI
33 Nabil, B., Abdelkader, B., Miloud, A. and Noureddine, B. (2017), "On the mixed-mode crack propagation in FGMs plates: Comparison of different criteria", Struct. Eng. Mech., 61(3), 371-379.   DOI
34 Ma, T., Zhang, Q.B., Chen, P., Yang, C. and Zhao, J. (2017a), "Fracture pressure model for inclined wells in layered formations with anisotropic rock strengths", J. Petrol. Sci. Eng., 149, 393-408.   DOI
35 Monfared, M.M. "Mode III SIFs for interface cracks in an FGM coating-substrate system", Struct. Eng. Mech., 64(1), 71-79.   DOI
36 Min, K.B. and Jing, L.R. (2003), "Numerical determination of the equivalent elastic compliance tensor for fractured rock masses using the distinct element method", Int. J. Rock Mech. Min. Sci., 40(6), 795-816.   DOI
37 Pan, B., Gao, Y. and Zhong, Y. (2014), "Theoretical analysis of overlay resisting crack propagation in old cement concrete pavement", Struct. Eng. Mech., 52(4) 167-181.
38 Wang, S.Y., Sloan, S.W., Tang, C.A. and Zhu, W.C. (2012), "Numerical simulation of the failure mechanism of circular tunnels in transversely isotropic rock masses", Tunn. Undergr. Space Technol., 32, 231-244.   DOI
39 Wang, P.T., Ren, F.H., Miao, S.J., Cai, M.F. and Yang, T.H. (2017), "Evaluation of the anisotropy and directionality of a jointed rock mass under numerical direct shear tests", Eng. Geol., 225, 29-41.   DOI
40 Wang, P.T., Yang, T.H., Xu, T., Cai, M.F. and Li, C.H. (2016b), "Numerical analysis on scale effect of elasticity, strength and failure patterns of jointed rock masses", Geosci. J., 20(4), 539-549.   DOI
41 Wang, T., Xu, D., Elsworth, D. and Zhou, W. (2016c), "Distinct element modeling of strength variation in jointed rock masses under uniaxial compression", Geomech. Geophys. Geoenerg. Georesour., 2(1), 11-24.   DOI
42 Wang, X., Zhu, Z., Wang, M., Ying, P., Zhou, L. and Dong, Y. (2017), "Study of rock dynamic fracture toughness by using VB-SCSC specimens under medium-low speed impacts", Eng. Fract. Mech., 181, 52-64.   DOI
43 Wasantha, P.L.P., Ranjith, P.G., Zhang, Q.B. and Xu, T. (2015), "Do joint geometrical properties influence the fracturing behaviour of jointed rock? An investigation through joint orientation", J. Geomech. Geophys. Geol. Energy Geol. Res., 1(1-2), 3-14.   DOI
44 Shakti, P.J., Dayal, R.P. and Devasis, M. (2015), "Comparative study on cracked beam with different types of cracks carrying moving mass", Struct. Eng. Mech., 56(5), 797-811.   DOI
45 Ramadoss, P. and Nagamani, K. (2013), "Stress-strain behavior and toughness of high-performance steel fiber reinforced concrete in compression", Comput. Concrete, 11(2), 55-65.
46 Rezaiee-Pajand, M. and Gharaei-Moghaddam, N. (2018), "Two new triangular finite elements containing stable open cracks", Struct. Eng. Mech., 65(1), 99-110.   DOI
47 Sato, K. (2006), "Fracture toughness evaluation based on tension-softening model and its application to hydraulic fracturing", Pure Appl. Geophys., 163, 1073-1089.   DOI
48 Tavallali, A. and Vervoort, A. (2010), "Effect of layer orientation on the failure of layered sandstone under Brazilian test conditions", Int. J. Rock Mech. Min. Sci., 47(2), 313-322.   DOI
49 Wang, J., Xie, L.Z., Xie, H.P., Ren, L., He, B., Li, C.B., Yang, Z.P. and Gao, C. (2016a), "Effect of layer orientation on acoustic emission characteristics of anisotropic shale in Brazilian tests", J. Nat. Gas Sci. Eng., 36, 1120-1129.   DOI
50 Vervoort, A., Min, K.B., Konietzky, H., Cho, J.W., Debecker, B., Dinh, Q.D., Fruhwirt, T. and Tavallali, A. (2014), "Failure of transversely isotropic rock under Brazilian test conditions", Int. J. Rock Mech. Min. Sci., 70, 343-352.   DOI
51 Xia, K., Yao, W. and Wu, B. (2017), "Dynamic rock tensile strengths of Laurentian granite: Experimental observation and micromechanical model", J. Rock Mech. Geotech. Eng., 9(1), 116- 124.   DOI
52 Zhang, S.W., Shou, K.J., Xian, X.F., Zhou, J.P. and Liu, G.J. (2018), "Fractal characteristics and acoustic emission of anisotropic shale in Brazilian tests", Tunn. Undergr. Space Technol., 71, 298-308.   DOI
53 Zhu, Z., Xie, H. and Ji, S. (1997), "The mixed boundary problems for a mixed mode crack in a finite plate", Eng. Fract. Mech., 56(5), 647-655.   DOI
54 Seingre, G. (2005), Tunnel de Base du Lotschberg-Bil an de L'excavation aux Tunneliers, In: Arnould, M., Ledru, P. (Eds.), GEOLINE 2005, BRGM Editions, Lyon, France, May.
55 Wei, M.D., Dai, F., Xu, N.W., Xu, Y. and Xia, K. (2015), "Three-dimensional numerical evaluation of the progressive fracture mechanism of cracked chevron notched semi-circular bend rock specimens", Eng. Fract. Mech., 134, 286-303.   DOI
56 Wu, W., Wang, G.B. and Mao, H.J. (2010), "Investigation of porosity effect on mechanical strength characteristics of dolostone", Rock Soil Mech., 31(12), 3709-3714.   DOI
57 Xu, T., Ranjith, P.G., Wasantha, P.L.P., Zhao, J., Tang, C.A. and Zhu, W.C. (2013), "Influence of the geometry of partially-spanning joints on mechanical properties of rock in uniaxial compression", Eng. Geol., 167, 134-147.   DOI
58 Yang, T.H., Wang, P.T., Xu, T., Yu, Q.L., Zhang, P.H., Shi, W.H. and Hu, G.J. (2015), "Anisotropic characteristics of fractured rock mass and a case study in Shirengou Metal Mine in China", Tunn. Undergr. Space Technol., 48, 129-139.   DOI
59 Yaylac, M. (2016), "The investigation crack problem through numerical analysis", Struct. Eng. Mech., 57(6), 1143-1156.   DOI
60 Yu, L., Weetjens, E., Sillen, X., Vietor, T., Li, X., Delage, P., Labiouse, V. and Charlier, R. (2014), "Consequences of the thermal transient on the evolution of the damaged zone around a repository for heat-emitting high-level radioactive waste in a clay formation: A performance assessment perspective", Rock Mech. Rock Eng., 47(1), 3-19.   DOI
61 Yuan, R. and Shen, B. (2017), "Numerical modelling of the contact condition of a Brazilian disk test and its influence on the tensile strength of rock", Int. J. Rock Mech. Min. Sci., 93, 54-65.   DOI