A semi-implicit formulation of Tate-independent classical plasticity, as implemented in a three dimensional continuum mechanics code is discussed. The plasticity formulation employs an associative flow rule for the evolution of plastic strain, an anisotropic yield criterion, an application of Nemat-Nasser's semi-implicit method for updating the deviatoric stress, and isotropic hardening through the evolution of a flow stress. Several different hardening males have been implemented. Preliminary evaluation of these hardening models, based on an ability to predict the results of Taylor cylinder impact, are presented. The evaluation is based on a comparison of predicted final deformed shape to experimentally measured final deformed shape. Test results obtained from experiments conducted using two different copper materials and tantalum are included in the evaluation.