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Boundary Elements XIII pp 31–41Cite as

Non-Linear Material Problems with BEM: Dual Reciprocity v. The Kirchhoff Transformation

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Abstract

In this paper a Dual Reciprocity, (DRM), solution to non-linear material problems will be presented as an alternative to the Kirchhoff transformation in BEM analysis. The computational formulation and results for both approaches will be presented for cases with and without a boundary condition of the third kind. In the former case a solution procedure involving a DRM approximation to second derivatives of space is also presented.

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References

  1. Bialecki, R and Nowak, A. J. Boundary value problems for non-linear material and non-linear boundary conditions, Applied Mathematical Modelling, Vol. 5, pp 417–421, 1981.

    Article  MATH  Google Scholar 

  2. Brebbia, C. A., Telles, J. and Wrobel, L. C. Boundary Element Techniques: Theory and Applications In Engineering. Springer-Verlag, Berlin and N. York, 1984.

    MATH  Google Scholar 

  3. Nardini, D. and Brebbia, C. A. A New Approach for Free Vibration Analysis using Boundary Elements, Boundary Element Methods in Engineering, (Ed C. A. Brebbia), pp 312–326, Springer-Verlag, Berlin and N. York, 1982.

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  4. Partridge, P. W., Brebbia, C. A. and Wrobel, L. C. The Dual Reciprocity Boundary Element Method, Computational Mechanics Publications, Southampton and Boston, 1991.

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  5. Brebbia, C. A. The Boundary Element Method for Engineers. Pentech Press, London, 1978.

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  6. Partridge, P. W. and Brebbia, C. A. Computer Implementation of the BEM Dual Reciprocity Method for General field Problems. Communications in Applied Numerical Methods, Vol. 6, pp 83–92, 1990.

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  7. Wrobel, L. C, Private Communication, 1990.

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Author information

Authors and Affiliations

  1. Departamento de Engenharia Civil, Universidade de Brasília, 70910, Brasília, Brazil

    P. W. Partridge

Authors
  1. P. W. Partridge
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Editor information

Editors and Affiliations

  1. Wessex Institute of Technology, Ashurst Lodge, Ashurst, Southampton, SO4 2AA, UK

    C. A. Brebbia

  2. School of Civil Engineering, Oklahoma State University, 314 Engineering South, Stillwater, OK, 74078, USA

    G. S. Gipson

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© 1991 Computational Mechanics Publications

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Partridge, P.W. (1991). Non-Linear Material Problems with BEM: Dual Reciprocity v. The Kirchhoff Transformation. In: Brebbia, C.A., Gipson, G.S. (eds) Boundary Elements XIII. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3696-9_3

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  • DOI: https://doi.org/10.1007/978-94-011-3696-9_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-85166-696-6

  • Online ISBN: 978-94-011-3696-9

  • eBook Packages: Springer Book Archive

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