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Numerical model for rock bolts with consideration of rock joint movements

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Summary

The stability of any underground structure during and after excavation is the most important question for designers, because any kind of collapse may destroy large parts of a finished tunnel, causing major repairs and time loss. Preliminary calculations are therefore of great importance. A calculation is only useful, however, when the underlying numerical model correctly describes natural behaviour. The rock bolts used in tunnel excavations are mostly untensioned grouted bolts, and this type of bolt is the main focus of this work. From the model of the grouted bolt, other types of rock bolts can also be modelled by the theory presented herein. Bolt behaviour in intact rock mass is so different from behaviour when a bolt intersects a joint, that a model with two different elements is suggested for a numerical calculation; one element for the bolt in the rock mass and one as a bolt intersecting with a joint.

The model for both elements is verified by the experimental results. The numerical results correspond favourably with the experimental work. A variation of the parameters important for the behaviour of the bolt in intersection with the joint is shown. As an implementation of the bolt model, the numerical simulation of excavation and stabilisation of one road tunnel is presented.

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References

  • Aydan, Ö., Kyoya, T., Ichikawa, Y., Kawamoto, T., Ito, T., Shimizu, Y. (1988): Three-dimensional simulation of an advancing tunnel supported with forepoles, shotcrete, steel ribs and rockbolts. In: Swoboda (ed.) Numerical methods in geomechanics, Balkema, Rotterdam, 1481–1486.

    Google Scholar 

  • Aydan, Ö., Kyoya, T., Ichikawa, Y., Kawamoto, T. (1987): Reinforcement effects of rockbolts and their analysis. In: Proc., 22nd Japan National Conference on Soil Mechanics and Foundation Engineering, Niigata, Japan, 923–926.

  • Bjurström, S. (1974): Shear strength of hard rock joints reinforced by grouted untensioned bolts. In: Proc., 3rd Congress of the ISRM, Denver, 1194–1199.

  • Brady, B., Lorig, L. (1988): Analysis of rock reinforcement using finite difference methods. Computers and Geotechnics 5, 123–149.

    Google Scholar 

  • CEB-FIP Model Code 1990, Final Draft (1991): Bulletin D'Information No. 203, Chapter 3.

  • Egger P., Pellet F. (1992): Numerical and experimental investigation of the behaviour of reinforced jointed media. In: Proc., Fractured and Jointed Rock Masses, Lake Tahoe, California, 277–282.

  • Ghaboussi, J., Wilson, E. L., Isenberg, J. (1973): Finite element for rock joints and interfaces. ASCE, J. Soil Mech. Found. Div. 99 (SM10), 833–848.

    Google Scholar 

  • Klöppel, K., Yamada, M. (1958): Fließpolyester des Rechteck-und I-Querschnittes unter der Wirkung von Biegemoment, Normalkraft und Querkraft. Stahlbau 27, 284–290.

    Google Scholar 

  • Laabmayr, F., Swoboda, G. (1978): The importance of shotcrete as support element of the NATM. In: Proc. 2nd Shotcret Conference, Eng. Foundation, St. Anton, 65–79.

  • Marenče, M. (1992): Numerical model for rockbolts under consideration of rock joint movements. Doctorate Thesis, Innsbruck University, Austria.

    Google Scholar 

  • Panet, M. (1987): Reinforcement of rock foundations and slopes by active or passive anchors. In: Proc., 6th Int. Congress ISRM, Montreal, 1411–1420.

  • Pellet, F. (1994): Strength and deformability of jointed rock masses reinforced by rock bolts. Dissertation No. 1169, Ecole Polytechnique Federal de Lausanne, Switzerland.

    Google Scholar 

  • Prisco, di M., Ottanà, S., Sesana, S. (1988):Modellazione non lineare dell'azione di spinotto di una barra immersa in una massa illimitata di calcestruzzo. Studi e ricerche, corso di Perfezionamento per la construzioni in cemento, Vol. 10. Politecnico di Milano, Italia.

    Google Scholar 

  • Siriwardane, H. J. (1989): Numerical analysis of anchors in soil — Application brief. Int. J. Numer. Analyt. Meth. Geomech. 13, 427–433.

    Google Scholar 

  • Spang, K. (1988): Beitrag zur rechnerischen Berücksichtigung vollvermörtelter Anker bei der Sicherung von Felsbauwerken in geschichtetem oder geklüftetem Gebirge. Doctorate Thesis, Lausanne University, Switzerland.

    Google Scholar 

  • swoboda G. (1989): Numerical modelling of tunnels. Numerical methods and constitutive modelling in geomechanics, CISM Courses and Lectures No. 311, Udine, 277–318.

  • Swoboda, G. (1992): Programmsystem FINAL — Finite Element Analyse linearer und nichtlinearer Strukturen unter statischer und dynamischer Belastung, Version 6.6, Universität Innsbruck, Austria.

    Google Scholar 

  • Swoboda, G., Marenče, M., Ertan, H. (1992): Rock anchors in jointed rock. 2nd Czechoslovak Conference on Numerical Methods in Geomechanics, Prague, Czechoslovakia, 116–127.

  • Sydner, V. W., Schwab, P. M., Gerdeen, J. C. (1982): An elastic solution for the shear stiffness of the fully grouted resin roofbolt. In: Proc., Int. Symp. on Strata Mechanics, Newcastle upon Tyne, 237–240.

  • Wullschläger D., Natau O. (1987): The bolted rock mass as an anisotropic continuum — Material behaviour and design suggestion for rock cavities. In: Proc. 6th Congress Int. Soc. Rock Mech., Montreal, 1321–1324.

  • Yoshinaka R., Shimizu T., Arai H., Ariska S. (1988): Experimental study on the rock bolt reinforcement in jointed rock mass. Romana (ed.) Rock mechanics and power plants, Balkema, Rotterdam, 427–435.

    Google Scholar 

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Marenče, M., Swoboda, G. Numerical model for rock bolts with consideration of rock joint movements. Rock Mech Rock Engng 28, 145–165 (1995). https://doi.org/10.1007/BF01020149

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