3D PHASE-FIELD SIMULATIONS OF POLYCRYSTALLINE AND MULTIPHASE MICROSTRUCTURES

摘要

In this paper, we summerize a phase-field model capable of treating an arbitrary number of phases, grains and alloy components. The multiple order parameter formulation is especially important for describing polycrystalline systems and grain growth. After briefly describing the origin and the mathematical formulation of the evolution equations for inner energy density e, concentrations c_m and phase-field variables φ_α, the main features of the numerical solver and the software realization are given. The treatment of adaptive and memory conserving methods is discussed. Simulation results of both, three dimensional solidification and melting processes are presented. In particular, we consider the formation of binary dendrites and cells into an undercooled Ni-Cu melt as well as the growth of an ensemble of nuclei leading to a polycrystalline grain structure.