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Nonsingular BEM formulations for thin-walled structures and elastostatic crack problems

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Summary

This paper presents a unique approach, named “mathematical regularization”, to remove the nearly-singular and singular integrals occurring in the boundary integral formulations for the solution of the boundary value problems with a “pathologica” integration boundary due to the very near or coinciding parts of the total boundary. Nonsingular boundary integral equations are derived for thin-walled structure problems. In the case of crack-like problems, we present two kinds of the nonsingular integral representations of the secondary fields and the derivative boundary integral equations.

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Author notes

  1. V. Sladek &  M. Tanaka

    Present address: Department of Mechanical Engineering, Shinshu University, 500 Wakasato, 380, Nagano, Japan

  2. J. Sladek

    Present address: Institute of Construction and Architecture, Slovak Academy of Sciences, 84220, Bratislava, Slovakia

Authors and Affiliations

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

    J. Sladek

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  1. V. Sladek
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  2. J. Sladek
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  3. M. Tanaka
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Sladek, V., Sladek, J. & Tanaka, M. Nonsingular BEM formulations for thin-walled structures and elastostatic crack problems. Acta Mechanica 99, 173–190 (1993). https://doi.org/10.1007/BF01177243

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  • DOI: https://doi.org/10.1007/BF01177243

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