The role of geometrically necessary dislocations in providing macroscopic strengthening was reviewed with particle reinforcement as an example. The general relation between the Nye tensor and slip along a curvilinear slip line net was derived to emphasize the importance of curvature of slip lines upon the rate of dislocation storage.
The Role of Geometrically Necessary Dislocations in Giving Material Strengthening. N.A.Fleck, M.F.Ashby, J.W.Hutchinson: Scripta Materialia, 2003, 48[2], 179-83