A new dislocation-density based constitutive model was developed for face-centered cubic single crystals at high temperatures. It distinguished individual slip systems, and thus directly accounted for latent hardening. This distinction was essential for later implementation in crystal plasticity finite-element models. The model was applied to the hot-compression testing of single crystals with their <110> axes parallel to the compression axis. The predicted stress-strain curves closely fitted the experimental observations for strain-rates ranging from 10−5 to 10−1/s and temperatures ranging from 623 to 723K; using a single set of parameters.

A Constitutive Model for FCC Single Crystals Based on Dislocation Densities and its Application to Uniaxial Compression of Aluminium Single Crystals. A.Ma, F.Roters: Acta Materialia, 2004, 52[12], 3603-12