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Rock Mechanics pp 249-317 | Cite as

Computation of Stresses and Strains in a Rock Mass Using the Finite Element Method

  • Walter Wittke
Chapter

Abstract

In Fig. 6.1 an attempt has been made to Illustrate the main types of construction encountered in rock engineeting.

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References

  1. 6.1.
    Rathe, K.J.; Wilson, E.L.; Peterson, F.E.: SAP IV, A structural analysis program for static and dynamic responses of linear systems, Earthquake Eng. Research Center Reports 73–11, Berkeley 1974.Google Scholar
  2. 6.2.
    Bathej K.J.; Wilson, EX.; Peterson, F.E.; Wunderlich, W.: SAP IV–Beschreibueg und Benutzerhandbuch. Publications of the Institut fur Konstruktiven Ingenieurbau, Rufar- Universitat Bochum, No. 75–14 (1975).Google Scholar
  3. 6.3.
    Bathef K.J.; Wilson, EX.: Numerical methods in finite element analysis. Englewood Cliffs: Prentice-Hall 1976.Google Scholar
  4. 6.4.
    Cormeau, I.J.: Numerical stability in quasi-static elast o/visco~plasticity. Int. j. Num. Meth. in Eng. 9 (1975) 109–127.CrossRefzbMATHMathSciNetGoogle Scholar
  5. 6.5.
    Desai, C.S.; Abel, J.F.: Introduction to the finite element method New York: van Norstrand 1972Google Scholar
  6. 6.6.
    Feiser, j.: Numerische Untersuchungen zuoi EinfluB der Trennflachen auf das Spannungsverformungsverhalten von Fels. Unpublished Diploma thesis, RWTH Aachen 1982.Google Scholar
  7. 6.7.
    Gallagher, R.H.: Finite element-analysis. Berlin, Heidelberg, New York: Springer 1976.Google Scholar
  8. 6.8.
    Lekhnitskii, S.G.: Theory of elasticity of an anisotropic elastic body. San Francisco: Holden Day 1963.zbMATHGoogle Scholar
  9. 6.9.
    Pande, G.N.; Sharma, K.G.: On joint/interface elements and associated problems of numer¬ical ill-conditioning. Int. J. Num. and Anal Meth. in Geomech. 3 (1979) 293–300.CrossRefGoogle Scholar
  10. 6.10.
    Pawsey, S.F.; Clough, R.W.: Improved numerical integration of thick shell finite ele¬ments. Int. J. Num. Meth. in Engs 3 (1971) 575–586.CrossRefzbMATHGoogle Scholar
  11. 6.11.
    Pierau, B.: Tunnel be m essung unter B e rite ksicht igung der raum lichen Spannungs-Verformungszustande an der Ortsbrust. Publications of the Institute for Foundation Engineer¬ing, Soil Mechanics, Rock Mechanics and Waterways Construction at the RWTH Aachen, VoL 9 (1981).Google Scholar
  12. 6.12.
    Semprich, S.: Berechnung der Spannungen unci Verformungen im Bereich der Ortsbrust von Tunnelbauwerken im Fels. Publications of the Institute for Foundation Engineering, Soil Mechanics, Rock Mechanics and Waterways Construction at the RWTH Aachen. VoL 8 (1980).Google Scholar
  13. 6.13.
    Wittke5 W.; Wallner, M.; Rodatz, W9: Raumliche Berechnung der Standsicherheit von Hohlraumen, Boschungen und Grundungen in anisotropem, kluftigem Gebirge nach der Methode finiter Elemente. Strafie Brucke Tunnel 24 (1972) 200–209Google Scholar
  14. 6.14a
    Zienkiewicz, OX,; Taylor, R.L.; Too, J.M.: Reduced integration techniques in general analysis of.plates and shells. Int. J. Num. Meth. in Eng. 3 (1971) 275–290.CrossRefGoogle Scholar
  15. 6.15.
    Zienkiewlcz, OX.: The finite element method. London: McGraw-Hill 1977.Google Scholar
  16. 6.16.
    Zienkiewicz, OX.; Pande, G.N.: Time-dependent muki-laminate model of rocks–a numerical study of deformation and failure of rock masses. Int. J. Num. and AnaL Meth. in Geomecfu 1 (1977 ) 219–247.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Walter Wittke
    • 1
  1. 1.Institut für Grundbau, Bodenmechanik, Felsmechanik und VerkehrswasserbauRWTH AachenAachenGermany

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