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Elastic properties of polycrystals in the Voigt‐Reuss‐Hill approximation
Author(s) -
Zuo L.,
Humbert M.,
Esling C.
Publication year - 1992
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889892004874
Subject(s) - crystallite , elasticity (physics) , hexagonal crystal system , elastic modulus , kelvin–voigt material , young's modulus , texture (cosmology) , anisotropy , modulus , rank (graph theory) , mathematical analysis , materials science , zinc , mathematics , condensed matter physics , physics , crystallography , geometry , optics , chemistry , composite material , combinatorics , computer science , metallurgy , viscoelasticity , image (mathematics) , artificial intelligence
The problem of calculating polycrystalline elasticity from texture has been treated in the most general way in the framework of the Voigt–Reuss–Hill (VRH) approximation. The analytical solution involves only the even texture coefficients up to fourth order, which can be derived with a limited number of experimental pole figures ( e.g . one pole figure for hexagonal polycrystals). The present analysis has been applied to the prediction of the fourth‐rank elastic tensors and Young's modulus for a rolled zinc sheet.