Phase-field modeling of microelastically controlled eutectic lamellar growth in a Ti–Fe system

We have developed a microelastical phase-field model to incorporate elastic energy and misfit stresses in eutectic growth. We apply the model to assess the formation of eutectic structures in Ti–Fe alloy, which exhibit high lattice mismatch owing to difference between lattice parameters of β-Ti and FeTi phases. Numerical simulations of both directional and free eutectic growth are performed by applying cubic anisotropy to the Ti–Fe system. The resulted microstructures are presented and the corresponding stress distributions are evaluated. ► A phase-field model is developed to asses the eutectic growth in Ti–Fe alloy. ► Misfit stresses between different solid phases are incorporated into the model. ► We have performed both directional and free growth for a range of misfits. ► Increasing elastic energies resulted in higher undercooling and lamellar spacing. ► We found that elastic energies contribute to the free energy of eutectic systems.