The development of ideal orientations within the steady-state region of hot torsion flow curves of fcc and bcc metals undergoing "continuous" dynamic recrystallization is analyzed. It is well known that in fcc metals, e. g., Al deformed at 400 degrees C and above, the experimentally observed end texture consists of the twin-symmetric B(11-2)[1-10]/(B) over bar (-1-12)[110] component, whereby the (hkl)[uvw] indices correspond to the shear plane z and the shear direction theta, respectively. In bcc iron however, only one of the self-symmetric D1(11-2)[111] and D2 (-1-12)[111] components dominates (the former in the case of positive shear or clockwise rotation about the r-axis, and the latter during negative shear). The tendency toward a single end orientation imposes certain limitations on grain refinement, as this would ultimately imply the coalescence of subgrains of or close to this orientation, and therefore the disappearance of existing high angle boundaries (>= 15 deg). It is believed that the preference of D1 over D2, or vice versa, could be related to phenomena other than glide- induced rotations, e. g., grain boundary migration resulting from differences in work hardening rates. In this paper, the standard Taylor model is first used to predict the texture evolution in simple shear under the full-constraint rate-sensitive scheme. This is then coupled with an approach that takes into account grain boundary migration resulting from differences in dislocation densities within grains of varying orientations. The preliminary results are in agreement with experimental findings, i.e., grains with initial orientations close to D2 grow at the expense of neighboring grains during negative shear and vice versa.