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BEMSTAT — A New Type of Boundary Element Program for Two-Dimensional Elasticity Problems

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Book cover Boundary Element Methods

Part of the book series: Boundary Elements ((BOUNDARY,volume 3))

Abstract

A new type of boundary element program is presented. The equations are derived by use of integral operators. A natural way of deducing element matrices in BEM is shown, which leads to a new technique for establishing the system of equations. A simple subsidiary condition technique, which makes it possible to take discontinous tractions into account, is presented. Guidelines are given for the BE-discretization and the numerical integration. Formulas for the analytical integration of the singular terms are shown. A non-conventional method for coupling BEM and FEM is proposed. Numerical studies have been made in order to investigate the performance of different elements.

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References

  • Alarcon, E., Martin, A., and Paris, F. (1979), Boundary elements in potential and elasticity theory, Computers and Structures, 10, pp. 351–362.

    Article  MATH  Google Scholar 

  • Banerjee, R.K. and Butterfield, R. (1979), Developments in Boundary Element Methods, Appl. Science Publishers Ltd, London.

    MATH  Google Scholar 

  • Borowicka, H. (1939), Druckverteilung unter elastischen Platten, Ingenieur Archiv, vol. X, No. 2, pp. 113–125.

    Article  Google Scholar 

  • Brebbia, C.A. and Walker, S. (1980), Boundary element techniques in engineering, Newnes-Butterworths, London.

    MATH  Google Scholar 

  • Hartmann, F. (1980), Computing the C-matrix in non-smooth boundary points, Proc. of the Second Int. Sem. on Recent Advances in Boundary Element Methods, held at Univ. of Sothampton, March 1980.

    Google Scholar 

  • Jaswon, M.A. and Symm, G.T. (1977), Integral Equation Methods in Potential Theory and Elastostatics, Academic Press, New York.

    MATH  Google Scholar 

  • Jeng, G and Wexler A (1977), Isoparametric, finite element variational solution of integral equations for three-dimensional fields, Int. J. for Numerical Methods in Eng., 11, pp. 1455–1471.

    Article  ADS  MATH  Google Scholar 

  • Kelly, D.W., Mustoe, G.W, and Zienkiewicz, O.C. (1979), Coupling Boundary Element Methods with Other Numerical Methods, Developments in Boundary Element Methods — 1 (editors: Banerjee and Butterfield), Appl. Science Publishers Ltd, London.

    Google Scholar 

  • Nedelec, J.C. (1977), Cours de l’Ecole d’Ete’ d’Analyse Numerique, C.E.A., I.R.I.A., E.P.F.

    Google Scholar 

  • Poulos and Davis (1974), Elastic solutions for soil and rock mechanics, John Wiley & Sons, New York.

    Google Scholar 

  • Roark, R.S. (1965), Formulas for stress and strain, McGraw Hill, New York.

    Google Scholar 

  • Watson, J.O. (1980), Advanced implementation of the boundary element method for two-and three-dimensional elastostatics, Developments in Boundary Element Methods — 1 (editors: Banerjee and Butterfield), Appl. Science Publishers Ltd, London.

    Google Scholar 

  • Wendland, W.L., Stephan, E., and Hsiao, G.C. (1979), On the integral equation method for the plane mixed boundary value problem of the Laplacian, Math. Meth. in Appl. Sci., 1, pp. 265–321.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Wennerström and Petersson (1979), GENFEM-3, Verification Manual, Publ. 79:5, Dept of Structural Mechanics, Chalmers University of Technology, Göteborg, Sweden.

    Google Scholar 

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© 1981 Springer-Verlag Berlin Heidelberg

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Bolteus, L., Tullberg, O. (1981). BEMSTAT — A New Type of Boundary Element Program for Two-Dimensional Elasticity Problems. In: Brebbia, C.A. (eds) Boundary Element Methods. Boundary Elements, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11270-0_33

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  • DOI: https://doi.org/10.1007/978-3-662-11270-0_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-11272-4

  • Online ISBN: 978-3-662-11270-0

  • eBook Packages: Springer Book Archive

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