Document Type : Original Research Paper

Authors

1 Department of Mining Engineering, Hamedan University of Technology, Hamedan, Iran

2 Department of Civil Engineering, Eshragh Institute of Higher Education, Bojnourd, Iran

Abstract

In this work, the effect of rock bolt angle on the shear behavior of Rock Bridges is investigated using the particle flow code in two dimensions (PFC2D) for three different Rock Bridge lengths. Firstly, the calibration of PF2D is performed to reproduce the gypsum sample. Then the numerical models with the dimensions of 100 mm * 100 mm are prepared. The Rock Bridge is created in the middle of the model by removal of the narrow bands of discs from it. The uniaxial compressive strength of the Rock Bridge is 7.4 MPa. The Rock Bridge lengths are 30 mm, 50 mm, and 70 mm. The rock bolt is calibrated by a parallel bond. The tensile strength of the simulated rock bolt is 360 MPa.One rock bolt is implemented in the Rock Bridge. The rock bolt angles related to the horizontal axis are the changes from 0 to 75 degrees. Totally, 18 models are prepared. The shear test condition is added to the models. The normal stress is fixed at 2 MPa, and the shear load is added to the model till failure occurs. The results obtained show that in a fixed rock bolt angle, the tensile crack initiates from the joint tip and propagates parallel to the shear loading axis till coalescence to rock bolt. In a constant Rock Bridge length, the shear strength decreases with increase in the rock bolt angle. The highest shear strength occurs when the rock bolt angle is 0°.

Keywords

[1]. F. D. Patton, “Multiple modes of shear failure in rock,” in Proceedings of the 1st Congress on International Society for Rock Mechanics, pp. 509–513, 1966.
[2]. R. E. Goodman, Methods of Geological Engineering in Discontinuous Rocks, West Publishing Company, NewYork, NY, USA, 1976.
[3]. N. Bartonand V. Choubey, “The shear strength of rock joints in theory and practice,” Rock Mechanics, Vol. 10, No. 1-2, pp. 1–54, 1977.
[4]. P. M. Dight and H. K. Chiu, “Prediction of shear behavior of joints using profiles,” International Journal of Rock Mechanics and Mining Sciences & Geo-mechanics Abstracts, Vol. 18, No. 5, pp. 369–386, 1981.
[5]. N. Barton, Modelling Rock Joint Behaviour from in situ Block Tests: Implications for Nuclear Waste Repository Design, Vol. 308, Office of Nuclear Waste Isolation, ONWI, Columbus, OH,USA, 1982.
[6]. T. Esaki, S. Du, Y. Jiang, and Y. Wada, “Effect of the asperity damage on the shear behavior of irregular rock joints,” in Proceedings of the Second International Conference on Analysis of Discontinuous Deformation, pp. 459–464, Kyoto, Japan, 1997.
[7]. Y. Jiang, J. Xiao, Y. Tanabashi, and T. Mizokami, “Development of an automated servo-controlled direct shear apparatus applying a constant normal stiffness condition,” International Journal of Rock Mechanics and Mining Sciences, Vol. 41, No. 2, pp. 275–286, 2004.
[8]. Y. J. Jiang, B. Li, and Y. Tanabashi, “Estimating the relation between surface roughness and mechanical properties of rock joints,” International Journal of Rock Mechanics and Mining Sciences, Vol. 43, No. 6, pp. 837–846, 2006.
[9]. C. C., Xia, Z. C. Tang, W. M. Xiao, and Y. L.Song, “New peak shear strength criterion of rock joints based on quantified surface description,” Rock Mechanics and Rock Engineering, Vol. 47, No. 2, pp. 387–400, 2014. [10] S. Bjurstr¨om, “Shear strength of hard rock joints reinforced by grouted untensioned bolts,” in Proceedings of the In Proceedings of the 3rd International ISRM Congress, pp. 1194–1199, Denver, Colo,USA,1974.
[10]. X. Ge and J. Liu, “Study of the shear resistance behavior of bolted rock joints,” Journal of Geotechnical Engineering, Vol. 10, No. 1, pp. 8–19, 1988 (Chinese).
[11]. K. Spangand, P. Egger, “Action of fully-grouted bolts in jointed rock and factors of influence,” Rock Mechanics and Rock Engineering, Vol. 23, No. 3, pp. 201–229, 1990.
[12]. P. Egger and L. Zabuski, “Behaviour of rough bolted joints in direct shear tests,” in Proceedings of the 7th ISRM Congress, Vol. 30, p. Aachen, Germany, September 1991.
[13]. A. M. Ferrero, “The shear strength of reinforced rock joints,” International Journal of Rock Mechanics and Mining Sciences, Vol. 32, No. 6, pp. 595–605, 1995.
[14]. F. Pellet and P. Egger, “Analytical model for the mechanical behavior of bolted rock joints subjected to shearing,” Rock Mechanics and Rock Engineering, Vol. 29, No. 2, pp. 73–97, 1996.
[15]. H. Jalalifar and N. Aziz, “Experimental and 3D numerical simulation of reinforced shear joints,” Rock Mechanics and Rock Engineering, Vol. 43, No. 1, pp.95–103, 2010.
[16]. P. Wang, T. Feng, Y. J.Zhu, and W. J.Yu, “Experimental study and numerical simulation of anchoring mechanism of anchored rock like material with prefabricated fracture,” YantuLixue/Rock and Soil Mechanics, Vol. 37, No. 3, pp.793–801, 2016 (Chinese).
[17]. L. Li, P.C. , S. Saydam, B. Hebblewhite, and Y. Li ,“Parametric study of rock bolt shear behavior by double shear test,” Rock Mechanics and Rock Engineering, Vol. 49, No. 12, pp. 4787– 4797, 2016.
[18]. Itasca Consulting Group Inc., “PFC2D (Particle Flow Code in 2D) Theory and Background,”Minneapolis, Minn, USA, 2008.
[19]. P.A. Cundall and O.D.L. Strack, “The distinct numerical model for granular assemblies,”Geotechnique, Vol. 29, No. 1, pp. 47–65, 1979.
[20]. J. Zhou and Y. Chi, “The method of particle flow and PFC2D code,” Rock and Soil Mechanics, Vol. 21, No. 3, pp. 271–274, 2000 (Chinese).
[21]. D. O. Potyondy and P. A. Cundall, “A bonded-particle model for rock,” International Journal of Rock Mechanics and Mining Sciences, Vol. 41, No. 8, pp.1329–1364, 2004.
[22]. N. Cho, C.D. Martin, and D.C.S ego, “A clumped particle model for rock,” International Journal of Rock Mechanics and Mining Sciences, Vol. 44, No. 7, pp. 997–1010, 2007.
[23]. Z. Zhao, L. Jing and I. Neretnieks, “Particle mechanics model for the effects of shear on solute retardation coefficient in rock fractures,” International Journal of Rock Mechanics and Mining Sciences, Vol. 52, pp. 92–102, 2012.
[24]. C. Xia, Y. Song, Z. Tang, Y. Song, and C. Shou, “Particle flow numerical simulation for shear behavior of rough joints,” Chinese Journal of Rock Mechanics and Engineering, Vol. 31, No. 8, pp. 1545–1552, 2012 (Chinese).
[25]. Y. Zhou, A. Misra, S. Wu, and X. Zhang, “Macro- and meso-analyses of rock joint direct shear test using particle flow theory,” Chinese Journal of Rock Mechanics and Engineering, Vol. 31, No. 6, pp. 1245–1256, 2012.
[26]. R.H. Cao, P. Cao, H. Lin, K. Zhang, and X.W. Tan, “Particle flow analysis of direct shear tests on joints with different roughness,” Rock and Soil Mechanics, Vol. 34, supplement 2, pp. 456–464, 2013 (Chinese).
[27]. Ghazvinian, A., Sarfarazi, V., Schubert, W., and Blumel, M. (2012), “A study of the failure mechanism of planar non-persistent open joints using PFC2D”, Rock Mech. Rock Eng., 45(5), 677-693.