Grain sub-division during the cold-rolling of face-centered cubic polycrystals was modelled by deriving evolution equations for the statistically stored dislocation densities (cell structure), propagating partial disclination dipole densities, and immobile partial disclination densities (cell block structure) at the slip-system level. The development of the mean cell and cell block sizes, and of the mean misorientations across the cell-block boundaries, were predicted for several grain orientations. Two types of grain sub-division were distinguished. Cube, rolling-direction and transverse-direction rotated cube-oriented grains exhibited a finer sub-division, and almost no spread of misorientations between the cell-block boundary families. Goss, brass and S-oriented grains exhibited a coarser sub-division, and a significant spread of misorientations. Copper-oriented grains exhibited an intermediate behavior. The predictions of a model for the evolution of the cell and cell block sizes were in reasonable agreement with experimental results.

A Disclination-Based Model for Grain Sub-Division. M.Seefeldt, L.Delannay, B.Peeters, S.R.Kalidindi, P.Van Houtte: Materials Science and Engineering A, 2001, 319-321, 192-6