Abstract
The fully anti-symmetric problem for a cylindrical shell with a circumferential crack is considered. The solution of the problem is reduced to that of a system of singular integral equations of the first kind. As an example the torsion of the cylinder is discussed and membrane and bending components of the stress intensity factor ratio are given.
Résumé
On considère, sous l'angle d'un problème completement antisymétrique, le cas d'une enveloppe cylindrique comportant une fissure circonférentielle. La solution du problème est ramenée à celle d'un système d'équations intégrales singulières du premier ordre. A titre d'exemple, on applique ces considérations théoriques au cas d'un cylindre soumis à torsion uniforme, et l'on fournit les composantes de flexion du quotient du facteur d'intensité des contraintes de l'enveloppe par le facteur d'intensité des contraintes correspondant à une tôle plane.
Zusammenfassung
Es wird das komplette anti-symetrische Problem einer zylindrischen Hülle mit einem Umfangsriß untersucht. Die Lösung wird auf diejenige eines Systems von singularen Integralgleichungen erster Ordnung zurilckgeführt. Als Beispiel wird die Torsion eines Zylinders erörtert und es werden die Membran- and Biegekomponenten des Spannungsintensitätsfaktors gegeben.
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References
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This work was supported by the National Aeronautics and Space Administration under the Grant NGR-39-007-001.
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Erdogan, F., Ratwani, M. A circumferential crack in a cylindrical shell under torsion. Int J Fract 8, 87–95 (1972). https://doi.org/10.1007/BF00185200
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DOI: https://doi.org/10.1007/BF00185200