The Coupling of Boundary and Finite Element Methods for Infinite Domain Problems in Elasto- Plasticity
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.
KeywordsBoundary Element Stiffness Matrix Boundary Integral Equation Finite Element Mesh Couple Analysis
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- 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
- Beer, G. (1981) On the Finite Element Analysis of Underground Excavations. Submitted to Int. Jnl. Anal. and Num. Meth. in Geomechan.Google Scholar
- 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
- Brebbia, C.A. and Georgiou, P. (1979) Combination of Boundary and Finite Elements in elastostatics. Appl. Math. Modelling, Vol. 3.Google Scholar
- 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
- 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
- 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
- Stroud, A.J. and Secrest, D. (1966) Gaussian Quadrature Formulas, Prectice-Hall.Google Scholar
- 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
- 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