An alternative description of twin-slip interactions was proposed within a crystal plasticity framework. The analysis was limited to moderate strains and, unlike previous models, particular attention was paid to the typical morphology which developed during twinning within a single crystal. With the help of kinematic hypotheses, a distinction was drawn between the flow rules for twinning and slip by invoking appropriate couplings between these inelastic mechanisms. By following a classical methodology, the constitutive equation of a single crystal was deduced from the definition of the resolved and critical shear stresses that were related to slip and twinning. A self-consistent scheme was used to account for the statistical disorder of a polycrystalline material. Upon making direct comparisons with experimental measurements, the model correctly reproduced the principal features of face-centered cubic metals with a low stacking-fault energy.

Constitutive Equations for Twinning and Slip in Low Stacking-Fault Energy Metals - a Crystal Plasticity-Type Model for Moderate Strains. M.Cherkaoui: Philosophical Magazine, 2003, 83[31], 3945-58