Abstract
We consider the problem of distention of a thin circular cylindrical shell of finite length weakened by a circular slit. On the basis of the complex equations of the theory of cylindrical shells we construct a solution that makes it possible to take account of the influence of the boundaries of the hole and the faces. Using the method of boundary collocations and taking account of the conditions for single-valuedness of the displacements, we reduce the problem to a system of linear algebraic equations. We study numerically the behavior of the membrane stresses as the boundaries of the hole and the faces are moved closer together.
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Literature Cited
K. F. Chernykh,The Linear Theory of Shells [in Russian], Pt. 1, Loningrad (1962).
A. N. Guz' et al., eds.,Methods of Designing Shells [in Russian], Vol. 1: Theory of Thin Shells Weakened by Holes, Kiev (1980).
S. V. Zakora and V. N. Chekhov, “On the interaction of closely located large holes in a circular cylindrical shell,”Prikl. Mekh.,18, No. 2, 48–53 (1982).
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Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 23, 1992, pp. 45–48.
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Zakora, S.V., Zakora, L.V. & Chekhov, V.N. The mutual influence of the boundaries of a hole and the faces of a cylindrical shell under distention. J Math Sci 76, 2374–2376 (1995). https://doi.org/10.1007/BF02362901
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DOI: https://doi.org/10.1007/BF02362901