A comparative study of hardening theories in torsion using the Taylor polycrystal model

A study of five rate-independent hardening rules (from Taylor and Elam (“The Distortion of an Aluminium Crystal during a Tensile Test”, Proc. R. Soc. Lond. (1923), A102, 643) to Bassani and Wu (“Latent Hardening in Single Crystals II. Analytical Characterization and Predictions,” Proc. R. Soc. Lond. (1991), A435, 21)) is presented based upon the classic Taylor polycrystal model in finite strain torsion. Comparisons of aggregate shear stress-strain curves, evolving crystallographic textures, yield loci, and axial stresses among the theories are made; and results are assessed against experiments on polycrystalline copper from the literature.