Investigation of basic crystal hardening inequalities in a range of stable lattice orientations in (1Â 1Â 0) channel die compression

The fcc slip-systems hardening inequalities given in [Havner, K.S., 2005. On lattice and material-frame rotations and crystal hardening in high-symmetry axial loading. Philos. Mag. 85 (25), 2861-2894] are investigated in (1 1 0) channel die compression for the 35.26° range of lateral constraint directions from (11¯1¯) (the 'brass' orientation) to (11¯0) (the 'Goss' orientation). It is established analytically that the inequalities uniquely predict lattice stability and finite shearing about the (1 1 0) load axis, consistent with experiments in this range. An analysis of the continuation of lattice stability to large deformations leads to a critical strain at which the lattice could theoretically, but not necessarily, lose stability.