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Applied Mechanics pp 283–288Cite as

Stress concentration around circular holes in cylindrical shells

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Abstract

In this paper we shall investigate the stress distribution and the displacements in the neighbourhood of a circular hole in a cylindrical shell, subjected to some load, for example torsion or axial tension. For that purpose we determine the stresses in the shell, loaded exclusively along the hole boundary in such a way, that if the stresses that would occur in the unweakened shell are added, a free boundary is obtained. Also geometric and mixed boundary conditions are treated. The analysis is based on shallow shell theory and the shell is replaced by a spiral cylindrical shell, in which the azimuthal angle varies from — ∞ to + ∞.

The contents of this paper is treated more in detail in author’s thesis [6].

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References

  1. Lur’e, A. L: Statics of Thin-walled Elastic Shells, State Publishing House of Technical and Theoretical Literature, Moscow/Leningrad 1947, Ch. 4, Art. 9.

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  2. Lur’e, A. I.: Concentration of Stresses in the Vicinity of an Aperture in the Surface of a circular Cylinder. Prikl. Mat. Mekh. 10 (1946) 397–406 (English transl. by N. Brunswick, New York University, Inst. of Math. Sci., 1960).

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  3. Novozhilov, V. V.: The Theory of Thin Shells, Groningen 1959.

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  4. Shevliakov, Ju. A., and F. S. Zigel’: Torsion of a cylinder with a hole in the lateral surface (in Ukrainian), Dopovidi Akademii Nauk Ukrainsjkoi RSR (1954) 41-44.

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  5. Withum, D.: Die Kreiszylinderschale mit kreisförmigem Ausschnitt unter Schubbean-spruchung. Ing.-Arch. XXVI (1958) 435–446.

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  6. Lekkerkerker, J. G.: On the stress distribution in cylindrical shells weakened by a circular hole, Delft: Uitgeverij Waltman 1965.

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Author information

Authors and Affiliations

  1. Technological University, Delft, The Netherlands

    J. G. Lekkerkerker

Authors
  1. J. G. Lekkerkerker
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Editors and Affiliations

  1. Freiburg I. Br., Deutschland

    Henry Görtler

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© 1966 Springer-Verlag Berlin Heidelberg

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Lekkerkerker, J.G. (1966). Stress concentration around circular holes in cylindrical shells. In: Görtler, H. (eds) Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-29364-5_36

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  • DOI: https://doi.org/10.1007/978-3-662-29364-5_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-27863-5

  • Online ISBN: 978-3-662-29364-5

  • eBook Packages: Springer Book Archive

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