Abstract
Resin end-anchored rockbolts consist of three parts: (1) anchored section; (2) free section; and (3) faceplate and locking nut. Tensile failure of the bolt rod usually occurs in the free section. This paper presents a new model for end-anchored rockbolts loaded in tension by implementing a novel tensile failure criterion as part of a 3D continuum numerical modeling package. The proposed model is applied to the study of the behavior of end-anchored rockbolts in a deep coal roadway. The results are in close agreement with both experimental results and field observations in terms of load–displacement relationships and deformation characteristics. The results indicate that the use of rockbolts with high tensile strength and capable to undergo higher elongation would be a key controlling factor for designing excavations in deep coal mines, and the allowable elongation of the bolts in the ribs should be larger than the ones in the roof for deep coal roadways.
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Abbreviations
- F :
-
Axial force (load)
- U :
-
Axial elongation
- \({F_{{\text{tmax}}}}\) :
-
Ultimate tensile load
- U max :
-
Ultimate elongation
- K :
-
Axial stiffness
- A :
-
Reinforcement cross-sectional area
- E :
-
Young’s modulus
- E T :
-
Tangent modulus
- L :
-
CableSEL length
References
Bobet A, Einstein H (2011) Tunnel reinforcement with rockbolts. Tunn Undergr Space Tech Inc Tre Technol Res 26:100–123. https://doi.org/10.1016/j.tust.2010.06.006
Cai M (2008) Influence of stress path on tunnel excavation response—numerical tool selection and modeling strategy. Tunn Undergr Space Technol 23:618–628. https://doi.org/10.1016/j.tust.2007.11.005
Cai Y, Esaki T, Jiang Y (2004a) A rock bolt and rock mass interaction model. Int J Rock Mech Min 41:1055–1067. https://doi.org/10.1016/j.ijrmms.2004.04.005
Cai Y, Esaki T, Jiang Y (2004b) An analytical model to predict axial load in grouted rock bolt for soft rock tunnelling. Tunn Undergr Space Technol 19:607–618. https://doi.org/10.1016/j.tust.2004.02.129
Craig P, Serkan S, Hagan P, Hebblewhite B, Vandermaat D, Crosky A, Elias E (2016) Investigations into the corrosive environments contributing to premature failure of Australian coal mine rock bolts. Int J Min Sci Tech 26(1):59–64
Deb D, Das KC (2011a) Enriched finite element procedures for analyzing decoupled bolts installed in rock mass. Int J Numer Anal Methods 35:1636–1655. https://doi.org/10.1002/nag.970
Deb D, Das KC (2011b) Modelling of fully grouted rock bolt based on enriched finite element method. Int J Rock Mech Min 48:283–293. https://doi.org/10.1016/j.ijrmms.2010.11.015
Freeman TJ (1978) The behavior of fully bonded rock bolts in the Kielder experimental tunnel. Tunn Tunn Int 10:37–40
He L, An XM, Zhao ZY (2015) Fully grouted rock bolts: an analytical investigation. Rock Mech Rock Eng 48:1181–1196. https://doi.org/10.1007/s00603-014-0610-0
Itasca (2015) FLAC3D—Fast Lagrangian Analysis of Continua in 3 Dimensions, version 5.0. Itasca, Minneapolis
Jalalifar H (2006) A new approach in determining the load transfer mechanism in fully grouted bolts. Ph.D. thesis, University of Wollongong
Jalalifar H, Aziz N (2010) Analytical behaviour of bolt-joint intersection under lateral loading conditions. Rock Mech Rock Eng 43:89–94. https://doi.org/10.1007/s00603-009-0032-6
Jiang LS, Sainoki A, Mitri HS, Ma NJ, Liu HT, Hao Z (2016) Influence of fracture-induced weakening on coal mine gateroad stability. Int J Rock Mech Min 88:307–317. https://doi.org/10.1016/j.ijrmms.2016.04.017
Kang HP, Fan MJ, Gao FQ (2015) Deformation and support of rock roadway at depth more than 1000 meters. Chin J Rock Mech Eng 34:2227–2241. https://doi.org/10.13722/j.cnki.jrme.2015.0859
Kang HP, Wu YZ, Gao FQ (2016) Mechanical performances and stress states of rock bolts under varying loading conditions. Tunn Undergr Space Technol 52:138–146. https://doi.org/10.1016/j.tust.2015.12.005
Li CC, Stillborg B (1999) Analytical models for rock bolts. Int J Rock Mech Min 36:1013–1029
Li SC, Wang HT, Wang Q (2016) Failure mechanism of bolting support and high-strength bolt-grouting technology for deep and soft surrounding rock with high stress. J Cent South Univ 23:440–448. https://doi.org/10.1007/s11771-016-3089-x
Ma SQ, Zhao ZY, Nie W et al (2017) An analytical model for fully grouted rockbolts with consideration of the pre- and post-yielding behavior. Rock Mech Rock Eng 50:3019–3028. https://doi.org/10.1007/s00603-017-1272-5
Martín LB, Tijani M, Hassen FH (2011) A new analytical solution to the mechanical behaviour of fully grouted rockbolts subjected to pull-out tests. Constr Build Mater 25(2):749–755. https://doi.org/10.1016/j.conbuildmat.2010.07.011
Meng QB, Han LJ, Zhang J (2016) Research and application of supporting technology in deep high stress fractured soft-rock roadway. J Cent South Univ 47:3861–3872. https://doi.org/10.11817/j.issn.1672-7207.2016.11.033
Nemcik J, Ma S, Aziz N (2014) Numerical modelling of failure propagation in fully grouted rock bolts subjected to tensile load. Int J Rock Mech Min 71:293–300. https://doi.org/10.1016/j.ijrmms.2014.07.007
Nguyen T, Ghabraie K, Tran-Cong T (2015) Simultaneous pattern and size optimisation of rock bolts for underground excavations. Comput Geotech 66:264–277. https://doi.org/10.1016/j.compgeo.2015.02.007
Nie W, Zhao ZY, Ning YJ, Guo W (2014) Numerical studies on rockbolts mechanism using 2D discontinuous deformation analysis. Tunn Undergr Space Technol Inc Tre Technol Res 41:223–233
Ranjbarnia M, Fahimifar A, Oreste P (2016) Practical method for the design of pretensioned fully grouted rockbolts in tunnels. Int J Geomech 16:04015012. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000464
Ren F, Yang Z, Chen J (2010) An analytical analysis of the full-range behaviour of grouted rockbolts based on a tri-linear bond-slip model. Constr Build Mater 24:361–370. https://doi.org/10.1016/j.conbuildmat.2009.08.021
Stille H (1992), Rock support in theory and practice. In: International symposium on rock support mining underground concrete, Canada, pp 421–437
Winsdor CR (1997) Rock reinforcement systems. Int J Rock Mech Min Sci Geol Abstr 34(6):919–951
Winsdor CR (2004) Rock reinforcement practice. Report, Perth, Rock Tech
Xie HP, Gao F, Ju Y (2015) Research and development of rock mechanics in deep ground engineering. Chin J Rock Mech Eng 34:2161–2178. https://doi.org/10.13722/j.cnki.jrme.2015.1369
Yang N, Li WT, Xuan C, Zhang YH, Li DY, Li TC, Wang G (2017a) Improvement of breakable anchor bolt element in flac3d and its application in deep coal roadway. J Min Saf Eng 34:251–258. https://doi.org/10.13545/j.cnki.jmse.2017.02.008
Yang RS, Li YL, Guo DM, Yao L, Yang TM, Li TT (2017b) Failure mechanism and control technology of water-immersed roadway in high-stress and soft rock in a deep mine. Int J Min Sci Technol 27:245–252
Yazici S, Kaiser PK (1992) Bond strength of grouted cable bolts. Int J Rock Mech Min Sci Geol Abstr 29:279–292. https://doi.org/10.1016/0148-9062(92)93661-3
Zhao Y (2012) Study on mechanical bebavior of epoxy bonded bolt system and bolt bearing characteristic in coal mine roadway. Ph.D. thesis, China University of Mining and Technology, Xuzhou
Zhao Y, Zhang N, Zheng X (2016) Experimental study of axial stress distribution and transfer along the bolt rods in an underground coal mine. Arab J Geosci 9(1):1–11
Zhao TB, Guo WY, Tan YL et al (2018) Case studies of rock bursts under complicated geological conditions during multi-seam mining at a depth of 800 m. Rock Mech Rock Eng 51:1539–1564. https://doi.org/10.1007/s00603-018-1411-7
Acknowledgements
The authors acknowledge financial support from the Fundamental Research Funds for the Central Universities (2018ZDPY02), the National Natural Science Foundation of China (51604268 and 51574227), PAPD (SZBF2011-6-B35) and the Independent Research Project of State Key Laboratory of Coal Resources and Safe Mining, CUMT (SKLCRSM18X08).
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Appendix
Appendix
We used a set of FISH functions in the FLAC3D model to calculate the plastic zone volume. The codes are as follows.
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Yan, S., Song, Y., Bai, J. et al. A Study on the Failure of Resin End-Anchored Rockbolts Subjected to Tensile Load. Rock Mech Rock Eng 52, 1917–1930 (2019). https://doi.org/10.1007/s00603-018-1663-2
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DOI: https://doi.org/10.1007/s00603-018-1663-2