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A boundary integral method for internal piece-wise smooth crack problems

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Abstract

A new boundary integral method for plane elasticity problems with internal piece-wise smooth cracks is presented. The method can be applied to both infinite and finite geometries. A numerical technique which combines a collocation method for the cracks and the standard BEM technique for the outer boundary is used to solve the integral equations. Numerical examples are presented and compared either to existing solutions or to FEM calculations. All of the results provided by the present method are shown to be very accurate for both smooth and kinked cracks in both finite and infinite geometries.

Résumé

On présente une nouvelle méthode par intégrale de contour pour solutionner des problèmes d'élasticité plane de géométries comportant des fissures lisses similaires à des pièces. Cette méthode est applicable à des géométries infinies ou finies. Pour solutionner les équations intégrales, on utilise une technique numérique combinant une méthode de collocation pour les fissures, et la technique standard BEM pour les limites extérieures. On compare les exemples numériques et on les compare aux solutions existantes ou aux résultats de calculs par éléments finis. On montre que les résultats présentés par la présente méthode sont très précis pour des fissures lisses ou tourmentées, dans des géométries finies ou infinies.

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Authors and Affiliations

  1. Department of Strength of Materials and Solid Mechanics, The Royal Institute of Technology, S-100 44, Stockholm, Sweden

    Weilin Zang & Peter Gudmundson

Authors
  1. Weilin Zang
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  2. Peter Gudmundson
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Zang, W., Gudmundson, P. A boundary integral method for internal piece-wise smooth crack problems. Int J Fract 38, 275–294 (1988). https://doi.org/10.1007/BF00019804

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  • DOI: https://doi.org/10.1007/BF00019804

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