A constitutive model for fcc single crystals based on dislocation densities and its application to uniaxial compression of aluminium single crystals Original Research Article

A new dislocation density based constitutive model for fcc single crystals at elevated temperatures is developed. In addition to former composite models [Acta Mater 48 (2000) 4181; J Mater Proc Technol 123 (2002) 155; Acta Metall Mater 41 (1993) 589; Acta Metal 31 (1983) 1367] it distinguishes the individual slip systems and thus directly accounts for latent hardening. This distinction is an essential prerequisite for a later implementation into crystal plasticity finite element models. The model is applied to hot compression tests of aluminium single crystals with their 〈1 1 0〉 axis parallel to the compression axis. The predicted stress strain curves fit the experimental observations very well for a strain rate range from 1×10−5 to 1×10−1 s−1 and a temperature range from 623 to 723 K using a single set of parameters.