BEHAVIOR OF INITIAL TEXTURE COMPONENTS DURING THE PLANE-STRAIN DRAWING OF FCC SHEET METALS

The behaviour of individual rolling and recrystallization texture comp onents was investigated under idealized cup drawing (plane strain draw ing) conditions. Closed-form analytical and numerical solutions were o btained using a rate-sensitive crystal plasticity model together with the full-constraint Taylor theory. Stress responses, slip distribution s and lattice rotation fields at and in the vicinity of the ideal orie ntations are predicted, together with their trajectories in Euler spac e. The limiting solutions of the rate-sensitive responses are derived; each of these stress states corresponds to the average of all the str ess vertices associated with the corresponding Bishop and Hill solutio n. The slip distributions over the active slip systems are symmetrical , with 4 equal or 2 x 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 1 1}[8 11 <(11)over bar>]) The influence of t he initial texture on grain rotation during plane strain drawing is di scussed.