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

P. V. Trusov ; V. N. Ashikhmin ; P. S. Volegov ; A. I. Shveikin

Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 152 (2010) no. 4, pp. 225-237

Résumé

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.

Détail

Keywords: anisotropy of properties, physical theories of plasticity, texture, hardening, two-level model.
Mots-clés : internal variables, constitutive equations

Bibliographie

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