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Stress concentration around circular holes in cylindrical shells

  • J. G. Lekkerkerker

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 + ∞.

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References

  1. [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.Google Scholar
  2. [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).Google Scholar
  3. [3]
    Novozhilov, V. V.: The Theory of Thin Shells, Groningen 1959.Google Scholar
  4. [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.Google Scholar
  5. [5]
    Withum, D.: Die Kreiszylinderschale mit kreisförmigem Ausschnitt unter Schubbean-spruchung. Ing.-Arch. XXVI (1958) 435–446.CrossRefGoogle Scholar
  6. [6]
    Lekkerkerker, J. G.: On the stress distribution in cylindrical shells weakened by a circular hole, Delft: Uitgeverij Waltman 1965.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1966

Authors and Affiliations

  • J. G. Lekkerkerker
    • 1
  1. 1.Technological UniversityDelftThe Netherlands

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