Mathematical Modeling of Stress–Strain State in Titanium Alloys Considering the Microstructure and Crystal Orientation Measured by EBSD

Abstract

Abstract—The virtual structures of titanium alloy fragments are created via EBSD using microstructural research and local crystal orientations. The uniaxial strains are calculated through a finite element method taking crystallographic characteristics, anisotropic elastic moduli, and crystallographic sliding into account. The mapping of the Schmid factor is carried out for structural fragments. The influence of measured orientations on the intensity of theoretical stress and strains in the loaded elements of polycrystalline material is studied as well.