Abstract
In this paper an exact formulation of the plane elasticity problem for a hollow cylinder or a disk containing a radial crack is given. The crack may be an external edge crack, an internal edge crack, or an embedded crack. It is assumed that on the crack surfaces the shear traction is zero and the normal traction is an arbitrary function ofr. For various crack geometries and radius ratios, the numerical results are obtained for a uniform crack surface pressure, for a uniform pressure acting on the inside wall of the cylinder, and for a rotating disk.
Résumé
Dans le mémoire, on donne une formulation exacte du problème de l'élasticité plane d'un cyclindre creux ou d'un disque comportant une fissure radiale. La fissure peut être une fissure externe de bord, une fissure interne de bord ou une fissure noyée. On suppose que les surfaces de la fissure sont soumises à une contrainte de cisaillement nulle et à une contrainte normale suivant une fonction arbitraire der. On obtient, pour diverses géométries de fissure et divers rapports de rayon, les résultats numériques dans le cas d'une pression uniforme sur la surface de la fissure, dans le cas d'une pression uniforme agissant sur la paroi interne du cylindre et dans le cas d'un disque en rotation.
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This work was supported by the Department of Transportation under the Contract DOT-RC-82007, by NASA-Langley under the Grant NGR-007-011, and by NSF under the Grant ENG. 78-09737.
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Delale, F., Erdogan, F. Stress intensity factors in a hollow cylinder containing a radial crack. Int J Fract 20, 251–265 (1982). https://doi.org/10.1007/BF01130612
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DOI: https://doi.org/10.1007/BF01130612