Elastic fields were derived for edge and screw dislocations within holes of elliptical cross-section. The results were applicable to interactions with defects near to the tips of blunted cracks, and to hollow dislocation cores. In the case of cracks, the results could be related to previous results for a dislocation emitted from a crack. For a fluid-filled core, or for an amorphous core in the case where shear stresses could relax in the core, the solutions described part of the complete field. The other part of the field in this case was associated with a possible isostatic stress in the core; with attendant shear stresses in the surrounding medium. The latter stresses were given by the Eshelby solution to the elliptical inclusion problem. The total field, according to the superposition principle, was the sum of the 2 sub-fields. The physical basis for the results was that the dislocation within the hole became smeared into a continuous distribution of infinitesimal dislocations along the axis of the ellipse.

Dislocations within Elliptical Holes. J.P.Hirth: Acta Materialia, 1999, 47[1], 1-4