Modelling dynamic recrystallization within multilevel approach and JMAK theory

The paper is devoted to mathematical description of the inelastic deformation process, taking into account dynamic recrystallization. For this purpose, a multilevel approach with internal variables is used and a two-level statistical model is applied. In this way the mechanisms of plastic deformation and the accompanying processes can be accounted for correctly. During high-temperature deformation, dynamic recrystallization is high importance in changing the grain and defect structure. The Johnson–Mehl–Avrami–Kolmogorov (JMAK) relation is used to describe the volume fraction of the recrystallized material. Accounting for the cyclic nature of dynamic recrystallization is carried out by modifying a multilevel model based on the idea of M.J. Luton and C.M. Sellars. The paper proposes a method for matching a multilevel statistical mechanical model and a JMAK model. The developed mathematical model is identified by the experimental data of uniaxial compression of pure oxygen-free copper. The results of modeling the inelastic deformation of a copper polycrystal at different temperatures are presented, which qualitatively agree with the experimental data.