The Coupling of Boundary and Finite Element Methods for Infinite Domain Problems in Elasto- Plasticity

  • G. Beer
  • J. L. Meek
Conference paper
Part of the Boundary Elements book series (BOUNDARY, volume 3)

Abstract

The implementation of a coupled analysis capability into an existing Finite Element computer program is discussed. The coupled analysis is then applied to a circular excavation in a infinite domain where the region of plasticity is confined to the Finite Element mesh. Further potential usage of the coupled analysis is then discussed in relation to mine design.

Keywords

Excavation Kelly Nite 

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References

  1. Anderson, D.L. and Ungless, R.L. (1979) Infinite Finite Elements. Int. Symposium on Innovative Numerical Analysis in Applied Engineering Science, Versailles, France.Google Scholar
  2. Beer, G. (1981) On the Finite Element Analysis of Underground Excavations. Submitted to Int. Jnl. Anal. and Num. Meth. in Geomechan.Google Scholar
  3. Beer, G. and Meek, L.L. (1980) A Boundary Finite Element for underground mining applications. in New Developments in Boundary Element Methods, CML Publications, Southampton, U.K. pp. 281–294.Google Scholar
  4. Bettess, P. (1977) Infinite Elements. Int. Jnl. Num. Meth. Engng., Vol. 11: 53–64.CrossRefMATHGoogle Scholar
  5. Brebbia, C.A. and Georgiou, P. (1979) Combination of Boundary and Finite Elements in elastostatics. Appl. Math. Modelling, Vol. 3.Google Scholar
  6. Chen, H.S. and Mei, C.C. (1974) Oscillations and Wave Forces in a Man-made Harbour. 10th Naval Hydro Symp., Dept. of Civil Eng., M.I.T., Cambridge, U.S.A.Google Scholar
  7. Kelly, D.W., Mustoe, G.G. and Zienkiewicz, O.C. (1979) Coupling Boundary Element methods with other numerical methods. Ch. 10 in Developments in Boundary Element Methods-1, Applied Science Publishers Ltd., London.Google Scholar
  8. Wustoe, G.G. and Volait, F. (1980) A Symmetric Direct Integral Equation method for two-dimensional elastostatics. Paper presented at 2nd Int. Seminar on Boundary Element methods, Southampton.Google Scholar
  9. Pender, M.T. (1980) Elastic Solutions for a deep circular tunnel, Geotechnique XXX, 2: 216–222.CrossRefGoogle Scholar
  10. Rizzo, F.J. (1967) An integral equation approach to boundary value problems of classical elasto-statics. Quart. Appl. Math., 25: 83–95.MATHGoogle Scholar
  11. Stroud, A.J. and Secrest, D. (1966) Gaussian Quadrature Formulas, Prectice-Hall.Google Scholar
  12. Watson, T.O. (1979) Advanced Implementation of the Boundary Element method for two and three dimensional elastostatics. Ch. 3 in Developments in Boundary Element methods-1, Banerjee ed., Applied Science Publ.Google Scholar
  13. Zienkiewicz, O.C., Kelly, D.W. and Bettess, P. (1977) Marriage a la mode — The best of both worlds (Finite Elements and Boundary Integrals). Int. Symp. on Innovative Num. Anal. in Appl. Eng. Science, Versailles, France.Google Scholar
  14. Zienkiewicz, O.C., Kelly, D.W. and Bettess, P. (1977) The Coupling of Finite Element and Boundary Solution Procedures, Int. J. Num. Meth. Engng., Vol. 11: 355–376.MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1981

Authors and Affiliations

  • G. Beer
    • 1
  • J. L. Meek
    • 1
  1. 1.Dept. of Civil EngineeringUniversity of QueenslandAustralia

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