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Application of the Cauchy Integral to the Displacement Discontinuity Method

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Boundary Elements VIII

Part of the book series: Boundary Elements ((BOUNDARY,volume 8))

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Abstract

In order to study isotropic elastic structures within cracks, the Displacement Discontinuity Method has been successfully developed and used for its simplicity and its consistency with the problem. (Crouch1; Crawford and Curran2,3; Wiles and Curran4; Crouch and Starfield5). In this study, this method is considered in a more general formulation for which the fundamental solutions are determined in infinite plane. The approach is given by the complex potentials. The general solution of the Displacement Discontinuity Method for linear discretization is then given using Cauchy’s integral formulation. This approach in the complex field also allows to develop solutions for circular elements which are more convergent. By using conformai mapping, we give the general solution for elliptical and corner elements. The method is then extended to the anisotropic behaviour.

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Bibliography

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Author information

Authors and Affiliations

  1. Laboratoire de Mécanique de Lille — E. U. D. I. L., Université des Sciences et Techniques de Lille, 59655, Villeneuve d’Ascq Cédex, France

    J. P. Henry & A. Bouhadanne

  2. Ecole des Mines de Douai, 241 rue Charles Bourseul, 59046, Douai, France

    E. Morel

Authors
  1. J. P. Henry
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  2. A. Bouhadanne
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  3. E. Morel
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Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, Shinshu University, 500 Wakasato, Nagano 380, Japan

    M. Tanaka

  2. Computational Mechanics Institute, 52 Henstead Road, SO1 2DD, Southampton, UK

    C. A. Brebbia

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© 1986 Springer-Verlag Berlin Heidelberg

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Henry, J.P., Bouhadanne, A., Morel, E. (1986). Application of the Cauchy Integral to the Displacement Discontinuity Method. In: Tanaka, M., Brebbia, C.A. (eds) Boundary Elements VIII. Boundary Elements, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22335-2_15

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  • DOI: https://doi.org/10.1007/978-3-662-22335-2_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-22337-6

  • Online ISBN: 978-3-662-22335-2

  • eBook Packages: Springer Book Archive

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