The formation of dislocation rings on a crack front

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Abstract
The formation of dislocation rings at crack tips is considered when the glide plane is tilted against the crack plane and does not contain the crack front. The emanating ring is described in the Peierls model by a distribution of infinitesimal dislocations and the influence of the interplanar potential in the glide plane on the emission process is studied. The magnitude of the displacement, the radius of the ring and the profile of the displacement are allowed to adjust during the emission process by minimizing the energy. The formation of rings in tilted glide planes can avoid the formation of ledges, which must occur when the dislocation is emitted in a plane containing the crack front. Since ledge formation severely obstructs the emission of dislocations, it is suggested that ring formation is the more favourable process.
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