AbstractThis contribution extends the recently proposed kinematical approach by Miehe et al. [4] to a constitutive formulation for elasto–visco–plastic behavior of amorphous glassy polymers below their glass transition temperature. In contrast to the existing kinematical approaches in the literature, the latter is constructed in the logarithmic strain space yielding a formulation analogous to the geometrically linear theory of plasticity in the six–dimensional space. Its analogy to a geometrically linear theory makes this formalism very attractive, especially with regard to its algorithmic implementation. Conceptually, elasto–visco–plastic model with an intrinsic non–linear kinematic hardening is considered in the logarithmic strain space. The evolution law of the plastic strains is adopted from Argon's [1] double–kink theory. The proposed formulation is validated by means of experimental data obtained from both homogeneous and non–homogeneous experiments. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)