Some remarks on the analysis of large strain torsion-like problems

These notes are concerned with some fundamental aspects in the analysis of torsion-like problems involving large inelastic deformations. Accepting a spatially fixed cylindrical coordinate system as a preferred frame of reference, the significance of the material rate of change of the associated basis vectors during such deformation processes is emphasized. So-called shifters and their rates are shown to provide a convenient tool to account for this. Explicit expressions are given and applied in coordinate expressions of rate equations of the type occurring in large strain plasticity theories.