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JOURNALS // Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki // Archive

Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2010 Volume 152, Book 4, Pages 225–237 (Mi uzku899)

This article is cited in 6 papers

The 2nd International Conference "The Problems of Nonlinear Mechanics of Deformable Solids"

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

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

Perm State Technical University

Abstract: 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.

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

UDC: 539.3

Received: 18.05.2010



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