Abstract
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.
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Original Russian Text © P.V. Trusov, PS. Volegov, A.Yu. Yants, 2011, published in Fiz. Mezomekh., 2011, Vol. 14, No. 1, pp. 19–31.
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Trusov, P.V., Volegov, P.S. & Yants, A.Y. Asymmetric crystal plasticity theory for the evolution of polycrystal microstructures. Phys Mesomech 15, 58–68 (2012). https://doi.org/10.1134/S1029959912010067
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DOI: https://doi.org/10.1134/S1029959912010067