Finite deformation analysis of f.c.c. crystals in \((110)(1{\bar 1}{\bar 2})({\bar 1}1{\bar 1})\) channel die compression (Q1094189)

A comprehensive analysis of f.c.c. crystals in initial orientation \((110)(1{\bar 1}{\bar 2})({\bar 1}1{\bar 1})\) (loading, constraint, and channel axis directions, respectively) in the channel die compression test is presented, to strains of order 1. Three hardening theories are investigated: Taylor's rule, the ``simple theory'', and the ``P.A.N. rule''. The predictions of these theories are found to be kinematically distinct for this orientation, with only the P.A.N. rule predicting lattice rotation about the loading axis. Comparisons with an experimental study are included.