摘要

Based on the basic transfer process, including heat transfer and solute transfer, and the physics of growth process of crystal grains, the mathematical models for the 3D simulation of microstructure and free dendritic growth of single phase alloy were developed and a new capturing rule was presented. Many factors such as constitutional undercooling, curvature undercooling and grain growth in random preferential growth directions, which had vital influences on the evolution of microstructure, were considered in the model. Simulated results showed that the grain growth in random preferential growth directions can be described by the model reasonably, and the simulated results were coincident with actual phenomena. The simulation results of directional growth of multiple nuclei indicated that the primary dendrite space was independent of initial nuclei number when the growth reached a stable state. The model and the capturing rule are suitable to further research of microstructure evolution of directional solidification.