Asymmetric crystal plasticity theory for the evolution of polycrystal microstructures

Analysis of the lattice geometry and geometric properties of a yield polyhedron in crystal elastoplasticity theory demonstrates the necessity of going to asymmetric measures of stress-strain states in the description of severe plastic deformation of polycrystals with deep micro- and mesostructural r...

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Bibliographic Details
Published in:Physical mesomechanics 2012, Vol.15 (1-2), p.58-68
Main Authors: Trusov, Peter V., Volegov, P. S., Yants, A. Yu
Format: Article
Language:English
Subjects:
Classical Mechanics
Materials Science
Physics
Physics and Astronomy
Solid State Physics
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Summary:Analysis of the lattice geometry and geometric properties of a yield polyhedron in crystal elastoplasticity theory demonstrates the necessity of going to asymmetric measures of stress-strain states in the description of severe plastic deformation of polycrystals with deep micro- and mesostructural rearrangements. A general two-level (macro- and mesolevel) physical theory for describing the evolution of micro-and mesostructures of polycrystals is formulated in which each level is described by strain rate measures and associated stress and strain measures. The elasticity tensor at the mesolevel is analyzed. Separate consideration is given to the choice of macroscale rigid motion. Constitutive relations for the rotational mode are derived, and an algorithm is proposed to determine rotational elements — material regions that experience rotation at a certain point in time. Simulation results for individual particular cases of loading are presented.
ISSN:1029-9599
1990-5424
DOI:10.1134/S1029959912010067