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New reinforcement algorithms in discontinuous deformation analysis for rock failure

  • Chen, Yunjuan (Shandong Provincial Key Laboratory of Appraisal and Retrofitting in Building Structures, Shandong Jianzhu University) ;
  • Zhu, Weishen (Geotechnical and Structural Engineering Research Center, Shandong University) ;
  • Li, Shucai (Geotechnical and Structural Engineering Research Center, Shandong University) ;
  • Zhang, Xin (Shandong Provincial Key Laboratory of Appraisal and Retrofitting in Building Structures, Shandong Jianzhu University)
  • Received : 2015.10.26
  • Accepted : 2016.07.29
  • Published : 2016.12.12

Abstract

DDARF (Discontinuous Deformation Analysis for Rock Failure) is a numerical algorithm for simulating jointed rock masses' discontinuous deformation. While its reinforcement simulation is only limited to end-anchorage bolt, which is assumed to be a linear spring simply. Here, several new reinforcement modes in DDARF are proposed, including lining reinforcement, full-length anchorage bolt and equivalent reinforcement. In the numerical simulation, lining part is assigned higher mechanical strength than surrounding rock masses, it may include multiple virtual joints or not, depending on projects. There must be no embedding or stretching between lining blocks and surrounding blocks. To realize simulation of the full-length anchorage bolt, at every discontinuity passed through the bolt, a set of normal and tangential spring needs to be added along the bolt's axial and tangential direction. Thus, bolt's axial force, shearing force and full-length anchorage effect are all realized synchronously. And, failure criterions of anchorage effect are established for different failure modes. In the meantime, from the perspective of improving surrounding rock masses' overall strength, a new equivalent and tentative simulation method is proposed, it can save calculation storage and improve efficiency. Along the text, simulation algorithms and applications of these new reinforcement modes in DDARF are given.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China, China Postdoctoral Science Foundation, Shandong Provincial Natural Science Foundation

References

  1. Chen, Y.J., Li, S.C., Zhu, W.S., Wang, W. and Wang, J. (2014), "A full-column shearing anchor bolt of discontinue deformation analysis for rock failure", Rock Soil Mech., 35(1), 293-297.
  2. He, L., An, X.M. and Zhao, Z.Y. (2014), "Development of contact algorithm for three-dimensional numerical manifold method", Int. J. Numer. Meth. Eng., 97(6), 423-453. https://doi.org/10.1002/nme.4591
  3. Jiao, Y.Y., Zhang, X.L. and Zhao, J. (2012), "A two-dimensional DDA contact constitutive model for simulating rock fragmentation", J. Eng. Mech.-ASCE, 138(2), 199-209. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000319
  4. Jiao, Y.Y., Zhang, H.Q., Tang, H.M., Zhang, X.L., Adoko, A.C. and Tian, H.N. (2014), "Simulating the process of reservoir-impoundment-induced landslide using the extended DDA method", Eng. Geol., 182, 37-48. https://doi.org/10.1016/j.enggeo.2014.08.016
  5. Ke, T.C. (1997), "Improved modeling of rock-bolting in DDA", Proceedings of the 9th International Conference on Computer Methods and Advances in Geo-Mechanics, Balkema, Rotterdam, The Netherlands, pp. 483-488.
  6. Li, S.C., Chen, Y.J. and Zhu, W.S. (2013), "Failure and convergence criteria for bolts in DDARF", Chin. J. Geotech. Eng., 35(9), 1606-1611.
  7. Li, S.C., Chen, Y.J. and Zhu, W.S. (2014), "Secondary development of elastic brittle constitutive model of discontinuous deformation analysis for rock failure", Rock Soil Mech., 35(8), 2144-2149.
  8. Ma, G.W., An, X.M. and He, L. (2010), "The numerical manifold method: a review", Int. J. Comp. Meth., 7(1), 1-32. https://doi.org/10.1142/S0219876210002040
  9. Mohammadi, M. and Tavakoli, H. (2015), "Comparing the generalized Hoek-Brown and Mohr-Coulomb failure criteria for stress analysis on the rocks failure plane", Geomech. Eng., Int. J., 9(1), 115-124.
  10. Ngoc, A.D., Pierpaolo, O., Daniel, D., Croce, A., Irini, D.M. and Locatelli, L. (2014), "Stress and strain state in the segmental linings during mechanized tunnelling", Geomech. Eng., Int. J., 7(1), 75-85. https://doi.org/10.12989/gae.2014.7.1.075
  11. Nikolic, M., Lbrahimbegovic, A. and Miscevic, P. (2015), "Brittle and ductile failure of rocks: Embedded discontinuity approach for representing mode I and mode II failure mechanisms", Int. J. Numer. Meth. Eng., 102(8), 1507-1526. https://doi.org/10.1002/nme.4866
  12. Noel, F., Leon, J.C. and Trompette, P. (1995), "A new approach to free-form surface mesh control in a CAD environment", Int. J. Numer. Meth. Eng., 38(18), 3121-3142. https://doi.org/10.1002/nme.1620381807
  13. Shi, G.H. (1988), "Discontinuous deformation analysis-a new numerical model for the statics and dynamics of block system", Ph.D. Dissertation; University of California, Berkeley, CA, USA.
  14. Shi, G.H. (1993), Block System Modeling By Discontinuous Deformation Analysis, Computational Mechanics Publications, Southampton, UK & Boston, USA.
  15. Shi, G.H. (1999), "Applications of discontinuous deformation analysis and manifold method", Proceedings of the 3rd International Conference on DDA, CO, USA.
  16. Tateki, I., Kenjiro, T. and Takashi, K. (2006), "Failure analysis of quasi-brittle materials involving multiple mechanisms on fractured surfaces", Int. J. Numer. Meth. Eng., 67(7), 960-988. https://doi.org/10.1002/nme.1656
  17. Wu, Y.M. (2003), "Research on three-dimensional discontinuous deformation analysis method for jointed rock mass and its application", Ph.D. Dissertation; Wuhan university, Wuhan, China, April.
  18. Zhang, X.L. (2007), "Study on numerical methods for modeling failure process of semi-continuous jointed rock mass", Ph.D. Dissertation; Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, China.
  19. Zhao, T.B. (2009), "Rock creep properties test in deep mine and deformation mechanism of anchored surrounding rock", Ph.D. Dissertation; Shandong University of Science and Technology, Qingdao, China.
  20. Zheng, C.M. (2010), "Study on hydro-mechanical coupling of fractured rock mass based on DDA", Ph.D. Dissertation; Shandong university, Jinan, China.
  21. Zhu, W.S. and Zhang, Y. (1994), "Effect of supporting rocks by bolts and its application to high slope of Three Gorges flight lock", Proceeding of International Symposium on Anchoring and Grouting Techniques, Guangzhou, China, December.
  22. Zhu, W.S., Chen, Y.J., Li, S.C., Yin, F.Q., Yu, S. and Li, Y. (2014), "Rock failure and its jointed surrounding rocks: A multi-scale grid meshing method for DDARF", Tunn. Undergr. Sp. Tech., 43, 370-376. https://doi.org/10.1016/j.tust.2014.05.015

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