Abstract
The energy of a shear dislocation ring is calculated in the framework of the Peierls model in which the displacement is represented by a density of infinitesimal dislocations in the glide plane. This avoids the introduction of an uncertain core cut-off radiusr0 to prevent divergence in the usual treatment. The atomic misfit energy in the glide plane is accounted for explicitly and the influence of the interplanar potential on the ring energy and the core structure is studied. Whereas spontaneous formation of shear rings in a homogenous stress field can be ruled out, the emission of dislocation rings from crack tips in glide planes not containing the crack front is feasible.
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