Thermodynamics of quasi–rate-independent inelastic micromorphic polycrystals

The paper deals with some new evolution equations for gradient viscoplasticity. Geometric and kinematic aspects of intragranular as well as intergranular plastic deformation of polycrystals are briefly discussed. Low-order inelastic polycrystals with homogeneous grain strains are considered. A homogenization of total, plastic and elastic strains has been done. By tensor representation applied to 3-tensors as well as to 2-tensors a simple case of gradient theory is formulated with a new evolution equation for plastic stretching gradient. An endochronic thermodynamics covering creep-plasticity interaction is applied