Determination of single-crystal elasticity constants in a cubic phase within a multiphase alloy:: X-ray diffraction measurements and inverse-scale transition modelling

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 (alpha+beta) titanium-based alloy (Ti-17) and, as a result, the Ti-17 beta-phase single-crystal elasticity tensor is estimated.