Investigation of basic crystal hardening inequalities in a range of stable lattice orientations in (1 1 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 image (the ‘brass’ orientation) to image (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.