Mathematical modelling of the evolution of polycrystalline materials structure under elastoplastic deformation

A two-level (macro- and mesolevel) mathematical model for describing polycrystalline material's severe plastic deformation accompanied by the evolution of its structure is suggested. The model uses constitutive equations with internal variables. For the mesolevel model of polycrystalline aggregate, the authors take into account the intragranular dislocation slip with different hardening mechanisms, as well as the crystal lattice rotations in grains due to the incompatibility of dislocation motion in neighbouring grains. The results of solving the problem of copper cylindrical work extrusion are given and discussed.