Estimating single-crystal elastic constants of polycrystalline ? metastable titanium alloy: A Bayesian inference analysis based on high energy X-ray diffraction and micromechanical modeling

A two-phase near-? titanium alloy (Ti–10V–2Fe–3Al, or Ti-1023) in its as-forged state is employed to illustrate the feasibility of a Bayesian framework identify single-crystal elastic constants (SEC). High Energy X-ray diffraction (HE-XRD) obtained at Diamond synchrotron source are used characterize evolution lattice strains for various grain orientations during situ specimen loading regime. On other hand, behavior and deformation estimated using self-consistent (ELSC) homogenization scheme. The XRD data micromechanical modelling revisited with framework. effect different material parameters (crystallographic morphological textures, phase volume fraction) model biases introduced by on identification SEC ? systematically investigated. In this respect, all three cubic (C11?,C12?,C44?) Ti-1023 have been derived their uncertainties. aspect ratio ELSC model, which often not considered literature, found be an important parameter affecting identified SEC. inference suggests high probability non-spherical grains (aspect ?3.8±0.8) : C11?=92.6±19.1GPa,C12?=82.5±16.3GPa,C44?=43.5±7.1GPa. uncertainty approach lies range ~1-3 GPa shear modulus ??=C11??C12?2, ~7 ??=C44?, while it significantly larger case bulk C11?+2C12?3 (~17-24 GPa).