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Calculation of Polycrystal Elastic Constants from Single‐Crystal Data
Author(s) -
Morawiec A.
Publication year - 1989
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221540213
Subject(s) - crystallite , single crystal , commutation , inversion (geology) , mathematical analysis , texture (cosmology) , symmetry (geometry) , materials science , mathematics , physics , geometry , computer science , nuclear magnetic resonance , quantum mechanics , geology , image (mathematics) , metallurgy , paleontology , voltage , structural basin , artificial intelligence
Abstract A new calculation method of determining the elastic constants of a polycrystalline material from single‐crystal elastic coefficients is presented. The averaging procedure satisfies the condition of commutation with the inversion operation. It can be applied to any crystal symmetry and allows to take texture into account. The properties of the averaging procedure are given and compared to the corresponding properties of the arithmetic averaging method.