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A model for calculating diffraction elastic constants
Author(s) -
GnäupelHerold Thomas,
Creuziger Adam A.,
Iadicola Mark
Publication year - 2012
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/s0021889812002221
Subject(s) - diffraction , inverse , constant (computer programming) , limit (mathematics) , matrix (chemical analysis) , physics , thermodynamics , chemistry , crystallography , materials science , mathematical analysis , mathematics , quantum mechanics , geometry , computer science , composite material , programming language
A model, dubbed the inverse Kröner model, is proposed to calculate the diffraction elastic constants from the elastic constants of a single crystal. It is related to the classic Kröner model, and both are identified as bounds on the diffraction elastic constants. Through the grain shape as controlling parameter, the classic Kröner model is bound by the hkl ‐independent mechanical limit given by the bulk elastic constants of the matrix, while the inverse Kröner model approaches the Reuss limit.