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On the boundary value problem for an elastic cylinder with homogenized fuzzy-cracks

Zum Bandwertproblem für einen elastischen Zylinder mit homogenisierten Fuzzy-Cracks

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Summary

An idea of homogenized fuzzy-cracks (HFC) as a model of the classical cracks in a solid body is introduced. A boundary value problem for an elastic cylinder with HFC is presented and analyzed under the assumptions of axisymmetry and generalized plane strain. Among others, the convergence of an iterative algorithm to the solution of the boundary value problem is shown.

Übersicht

Der Begriff der homogenisierten Fuzzy-Cracks (HFC) wird als Modell für die klassischen Risse in einem Festkörper eingeführt. Ein Randwertproblem für einen elastischen Zylinder mit Fuzzy-Cracks wird dargestellt und gelöst, wobei Axialsymmetrie und verallgemeinerter ebener Verzerrungszustand angenommen werden. Unter anderem wird die Konvergenz eines Iterationsverfahrens für die Lösung des Randwertproblems gezeigt.

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References

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Authors and Affiliations

  1. Department of Numerical Analysis Faculty of Mathematics and Physics, Charles University, Malostranské nám. 25, CS-11000, Prague, Czechoslovakia

    K. Najzar

  2. Computer Sciences Corporation, 8728 Colesville Rd., 20910, Silver Spring, MD, USA

    J. Šmíd

Authors
  1. K. Najzar
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  2. J. Šmíd
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Additional information

Former with: Department of Fuel Element Analysis Nuclear Research Institute CS-25068 Rez near Prague Czechoslovakia

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Najzar, K., Šmíd, J. On the boundary value problem for an elastic cylinder with homogenized fuzzy-cracks. Ing. arch 56, 401–406 (1986). https://doi.org/10.1007/BF00533826

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  • DOI: https://doi.org/10.1007/BF00533826

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