New Rock Bolt Model and Numerical Implementation in Numerical Manifold Method
Publication: International Journal of Geomechanics
Volume 17, Issue 5
Abstract
A beam-element-based rock bolt model is proposed in this paper. The proposed model can not only simulate the compression and tension deformations of bolts in the rock block but also capture the interaction between the bolt and the joint. The antitension, antishear, and antirotation of bolts near the joint and the hardening characteristics of bolts after the plastic yielding can be comprehensively reflected using the proposed model. The rock bolt model has been incorporated into the original numerical manifold method (NMM) procedure developed for realistic applications. In the improved NMM procedure, the bolt can be input as the physical mesh, the layout of which is not correlated with the mathematical cover. Hence, the preprocess is simplified, and numerical simulation of a large number of bolts can be easily carried out. The results of this improved procedure for bolt modeling were verified with a direct shear test of an anchored joint. Finally, the procedure was applied to evaluate the reinforcement effect of bolts in the underground powerhouse of the Shuibuya hydropower station. The results show that the deformation behavior of the anchored rock mass and the reinforcement effect of bolts can be well captured by the bolt model.
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Acknowledgments
The work reported in this paper has received financial support from the National Natural Science Foundation of China (Nos. 51179137 and Nos. 51309181) and from the National Basic Research Program of China (973 Program No. 2011CB013502). This support is gratefully acknowledged.
References
Chen, G., Ohnishi, Y., and Ito, T. (1998). “Development of high-order manifold method.” Int. J. Numer. Methods Eng., 43(4), 685–712.
Chen, S. H., and Egger, P. (1997). “Elasto-viscoplastic distinct modelling of bolt in jointed rock masses.” Proc., Computer Method and Advances in Geomechanics, Balkema, Rotterdam, Netherlands, 1985–1990.
Chen, S. H., and Egger, P. (1999). “Three dimensional elasto-viscoplastic finite element analysis of reinforced rock masses and its application.” Int. J. Numer. Ana. Methods Geomech., 23(1), 61–78.
Chen, S. H., Qiang, S., Chen, S. F., and Egger, P. (2004). “Composite element model of the fully grouted rock bolt.” Rock Mech. Rock Eng., 37(3), 193–212.
Chen, S. H., and Shahrour, I. (2008). “Composite element method for the bolted discontinuous rock masses and its application.” Int. J. Rock Mech. Min.Sci., 45(3), 384–396.
Dight, P. M. (1983). “A case study of the behaviour of rock slope reinforced with fully grouted rock bolts.” Proc., Int. Symp. on Rock Bolting, Abisko, Sweden, 523–538.
Duenser, C., Thoeni, K., Riederer, K., Lindner, B., and Beer, G. (2011). “New developments of the boundary element method for underground constructions.” Int. J. Geomech., 665–675.
Egger, P., and Zabuski, L. (1991). “Behaviour of rough bolted joints in direct shear tests.” Proc., 7th ISRM Congress, International Society for Rock Mechanics, Aachen, Germany, 1285–1288.
Fu, H. Y., Jiang, Z. M., and Li, H. Y. (2011). “Physical modeling of compressive behaviors of anchored rock masses.” Int. J. Geomech., 186–194.
Ge, X. R., and Liu, J. W. (1988). “Study on the shear resistance behavior of bolted rock joints.” J. Geotech. Eng., 10(1), 8–9 (in Chinese).
Grasselli, G. (2005). “3D behaviour of bolted rock joints: Experimental and numerical study.” Int. J. Rock Mech. Min. Sci., 42(1), 13–24.
Jiang, Q. H., Deng, S. S., Zhou, C. B., and Lu, W. B. (2010). “Modeling unconfined seepage flow using three-dimensional numerical manifold method.” J. Hydrodyn., 22(4), 554–561.
Jiang, Q. H., and Wang, S. F. (2006). “Three-dimensional numerical manifold method simulation of anchor bolt-supported rock mass.” J. Rock Mech. Eng., 25(3), 528–532 (in Chinese).
Jiang, Q. H., Zhou, C. B., and Li, D. Q. (2009). “A three-dimensional numerical manifold method based on tetrahedral meshes.” Comput. Struct., 87(13–14), 880–889.
Jiao, Y. Y., Zhang, X. L., and Zhao, J. (2012). “A two-dimensional DDA contact constitutive model for simulating rock fragmentation.” J. Eng. Mech., 199–209.
Lei, X. Y. (1996). “Formulaition and application of 3D anchor bolt elements.” Eng. Mech., 13(2), 50–60 (in Chinese).
Li, S., Cheng, Y., and Wu, Y. F. (2005). “Numerical manifold method based on the method of weighted residuals.” Comput. Mech., 35(6), 470–480 (in Chinese).
Ma, S., Nemcik, J., Aziz, N., and Zhang, Z. (2015). “Numerical modeling of fully grouted rockbolts reaching free-end slip.” Int. J. Geomech., 04015020.
Shi, G. H. (1992). “Manifold method of material analysis.” Proc., 9th Army Conf. on Applied Mathematics and Computing, Minneapolis, 51–76.
Shi, G. H. (2015). “Contact theory.” Sci. China Tech. Sci., 58(9), 1450–1496.
Spang, K., and Egger, P. (1990). “Action of fully-grouted bolts in jointed rock and factors of influence.” Rock Mech. Rock Eng., 23(3), 201–229.
Stimpson, B. (1987). “Analytical method for determining shear stiffness of an inclined grouted bolt installed across an open discontinuity.” Int. J. Min. Geol. Eng., 5(3), 299–305.
Swoboda, G., and Marence, M. (1991). “FEM modelling of rockbolts.” Proc., Computer Method and Advances in Geomechanics, Balkema, Rotterdam, Netherlands, 1515–1520.
Wang, S. F., Zhu, W. S., and Li, S. C. (2002). “Numerical manifold method of deformation analysis for bolt-support rockmass.” J. Rock Mech. Eng., 21(8),1120–1123 (in Chinese).
Wu, Z., and Wong, L. N. Y. (2012). “Frictional crack initiation and propagation analysis using the numerical manifold method.” Comput. Geotech., 39, 38–53.
Wu, Z., and Wong, L. N. Y. (2014). “Underground rockfall stability analysis using the numerical manifold method.” Adv. Eng. Softw., 76, 69–85.
Yang, Y. Y. (1994). “Analytical model for evaluating reinforcement efficient of bolts in layered rock masses.” J. Rock Mech. Eng., 13(4), 309–318 (in Chinese).
Zheng, H., Liu, F., and Li, C. (2015). “Primal mixed solution to unconfined seepage flow in porous media with numerical manifold method.” Appl. Math. Model., 39(2), 794–808.
Zheng, H., and Xu, D. D. (2014). “New strategies for some issues of numerical manifold method in simulation of crack propagation.” Int. J. Numer. Methods Eng., 97(13), 986–1010.
Zhu, W. S., and Zhang, Y. J. (1996). “Primary research on stability analysis and reinforcement schemes for jointed rock mass of high slope of three gorges flight rock.” J. Rock Mech. Eng., 15(4), 305–311 (in Chinese).
Information & Authors
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Published In
International Journal of Geomechanics
Volume 17 • Issue 5 • May 2017
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Sep 8, 2015
Accepted: Feb 4, 2016
Published online: Mar 10, 2016
Discussion open until: Aug 10, 2016
Published in print: May 1, 2017
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