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Determination of single‐crystal elasticity constants in a cubic phase within a multiphase alloy: X‐ray diffraction measurements and inverse‐scale transition modelling
Author(s) -
Perronnet A.,
Fréour S.,
François M.,
Guillén R.,
Gloaguen D.
Publication year - 2005
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/s0021889804023441
Subject(s) - elasticity (physics) , materials science , diffraction , single crystal , alloy , inverse , titanium alloy , phase transition , cubic crystal system , crystal (programming language) , cauchy stress tensor , phase (matter) , crystallography , thermodynamics , chemistry , optics , mathematics , geometry , mathematical analysis , physics , metallurgy , composite material , programming language , computer science , organic chemistry
The scope of this work is the determination of single‐crystal elastic properties from X‐ray diffraction stress analysis performed on multiphase polycrystals. An explicit three‐scale multiphase inverse self‐consistent model is developed in order to express the single‐crystal elasticity constants of a cubic phase as a function of its X‐ray elasticity constants. The model is verified in the case of single‐phase materials. Finally, it is applied to a two‐phase (α+β) titanium‐based alloy (Ti‐17) and, as a result, the Ti‐17 β‐phase single‐crystal elasticity tensor is estimated.