Numerical Simulation of the Particle /Interface Problem Using a Phase-field Model

摘要

The particle/interface problem is numerically analyzed using the recently developed phase-field model in thin interface limit. In the phase-field model, as the mesh size restriction is largely relaxed and the case with a particle size that is comparable to the experimental data has been calculated. A pushing force for alloy systems is introduced in order to relate to the interface energy change caused by deformation of the interface shape. With the pushing and dragging forces calculated from the interface shape, the acceleration and velocity of the particle are estimated and the particle movement relative to the interface is analyzed. Using the model, the particle pushing and engulfment behaviors are successfully reproduced for the system of Fe-C alloy and an alumina particle. The critical velocities for the pushing/engulfment transition are determined for the particles with different diameters.