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Figure 1
(a) An ideal untextured single-phase polycrystalline sample consisting of identical hexagonal prism-shaped anisotropic crystallites; the elastic modulus Cijkl along any direction varies from grain to grain. (b) The equivalent isotropic sample, representing the ideal sample with Young's modulus ([\overline E]) and Poisson's ratio ([\overline \upsilon]) determined from averages of the grain compliances over V ≥ RVE. (c) Finite-element nodes in a cluster of seven grains within the ideal sample. Here each (node) point within a particular grain is a material point and the material is assumed to be continuous between these nodes. (d) In a real crystalline material many unit cells are needed to constitute such a material point. The same sample coordinate system P is used for panels (a), (b) and (c).

Journal logoJOURNAL OF
APPLIED
CRYSTALLOGRAPHY
ISSN: 1600-5767
Volume 56| Part 4| August 2023| Pages 1144-1167
https://doi.org/10.1107/S1600576723004351
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