Behaviour of initial texture components during the plane strain drawing of f.c.c. sheet metals

Abstract The behaviour of individual rolling and recrystallization texture components was investigated under idealized cup drawing (plane strain drawing) conditions. Closed-form analytical and numerical solutions were obtained using a rate-sensitive crystal plasticity model together with the full-constraint Taylor theory. Stress responses, slip distributions and lattice rotation fields at and in the vicinity of the ideal orientations are predicted, together with their trajectories in Euler space. The limiting solutions of the rate-sensitive responses are derived; each of these stress states corresponds to the average of all the stress vertices associated with the corresponding Bishop and Hill solution. The slip distributions over the active slip systems are symmetrical, with 4 equal or 2 × 2 equal shear rates. None of the initial texture components is observed to be stable in plane strain drawing, although locations close to the Goss rotate relatively slowly. The only stable end orientation is P ({0 11}〈8 11 11 〉). The influence of the initial texture on grain rotation during plane strain drawing is discussed.