Analysis of fcc crystals in two singular orientations in (1 1 0) channel die compression

Analyses of fcc crystals in two singular orientations in (1 1 0) channel die compression – lateral constraint directions (11¯2¯)and(11¯1¯) (the ‘Brass’ orientation) – based upon rigorous multi-slip kinematics and a set of slip-systems hardening inequalities (Havner, 2005) are presented. Previous analyses of three orientation ranges in (1 1 0) compression, also based on these hardening inequalities, are briefly reviewed. Both the earlier results (2007–2008) and the current predictions, as regard (i) load-axis stability, (ii) finite crystal shear in the horizontal channel plane, (iii) either lattice stability or lattice rotation about the (1 1 0) load axis (dependent upon orientation), and (iv) lateral constraint stress, are compared with available experiment. The theoretical results are consistent with the gross scale, finite deformation behavior of fcc crystals (aluminum, copper, and Permalloy) in various orientations.