ANALYSIS OF TEXTURE EVOLUTION IN CHANNEL DIE COMPRESSION .1. EFFECTS OF GRAIN INTERACTION

The effect of grain interactions on deformation patterns and texture evolution is examined by the finite element method for a particular set of grains deformed in channel die compression. The material behavior within each element is determined from a slip based constitutive formulation that fully accounts for finite deformations and lattice rotations with deformation. Compatibility and equilibrium are enforced across the grain boundaries, and grain boundary sliding is not permitted. In order to make the analyses numerically tractable, an idealized two-dimensional geometric model is used to model the deformation in the longitudinal-transverse plane; and the strains are assumed to be uniform through the compression direction. Boundary conditions simulating homogeneous plane-strain compression are applied to the model region. The results reveal complex deformation patterns arising from grain interactions. The analyses also show that the crystallographic texture and the spread of orientations within a grain depend not only on the orientations of the neighboring grains, but also on the constraints provided by grains located several grains away.