A model for calculating diffraction elastic constants

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 controlli...

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Bibliographic Details
Published in:Journal of applied crystallography 2012-04, Vol.45 (2), p.197-206
Main Authors: Gnäupel-Herold, Thomas, Creuziger, Adam A., Iadicola, Mark
Format: Article
Language:English
Subjects:
Crystallography
Diffraction
diffraction elastic constants
Elastic constants
Grains
Inverse
Kröner model
Mathematical models
Single crystals
stress determination
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Summary: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.
ISSN:1600-5767
0021-8898
1600-5767
DOI:10.1107/S0021889812002221