Thermodynamically consistent phase-field modeling of competitive polycrystalline growth of beta grains during additive manufacturing of Ti6Al4V

•Multi-phase and multi-component phase-field model simulates Ti6Al4V solidification in directed energy deposition.•The phase-field model couples thermodynamic and diffusion data of Ti-Al-V system.•The improved phase-field model predicts concentration distribution for every solute.•Influences of thermal histories on microstructure evolution are simulated.