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Cylindrical and spherical shells with cracks

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Abstract

The symmetric problem for the cylindrical and spherical shells containing a meridional crack is considered. The problem is solved for a uniform membrane load and a uniform bending moment applied to the surface of the crack. The extensional and bending components of the stress intensity factor ratio are obtained as functions of shell parameter and are tabulated. The results are also plotted in order to compare them with the existing asymptotic solutions.

Résumé

On considère le problème symétrique d'enveloppes cylindriques et sphériques comportant une fissure qui se développe suivant un méridien. La solution est apportée dans le cas d'une contrainte de membrane uniforme et d'un moment de flexion uniformément appliqué aux lèvres de la fissure.

Ces composantes de traction et de flexion qui agissent sur le facteur d'intensité des contraintes sont determinées en fonction des paramètres de l'enveloppe, et présentées sous forme de tableaux. Les résultats ont 6t6 également portés en diagrammes, de manière à les comparer aux solutions asymptotiques existantes.

Zusammenfassung

Das symmetrische Problem für zylindrische and sphärische Schalen, die einen meridionalen Riß haben, wurde behandeft. Das Problem wurde für eine einheitliche Membranlast and ein einheitliches Biegungsmoment auf der Oberfläche des Risses angewandt, gelöst.

Die ausdehnenden und biegenden Komponente des Druckstärkefaktorenradius wurden als Funktionen des Schalenparameters erhalten and tabuliert. Die Ergebnisse wurden auch aufgezeichnet, um sie mit den bestehenden asymmetrischen Lösungen zu vergleichen.

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Authors and Affiliations

  1. Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, Pa.

    F. Erdogan & J. J. Kibler

Authors
  1. F. Erdogan
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  2. J. J. Kibler
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Additional information

This work was supported by the National Aeronautics and Space Administration under the Grant NGR 39-007-011.

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Erdogan, F., Kibler, J.J. Cylindrical and spherical shells with cracks. Int J Fract 5, 229–237 (1969). https://doi.org/10.1007/BF00184614

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  • DOI: https://doi.org/10.1007/BF00184614

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