Vector-Valued Phase Field Model for Crystallization and Grain Boundary Formation
R Kobayashi, James A. Warren, W Carter
We propose a new model for calculation of the crystallization and impingement of many particles with differing orientations. Based on earlier phase field models, a vector order parameter is introduced, and thus orientation of crystal/disordered interfaces can be determined relative to a crystalline frame. This model improves upon previous attempts to describe this phenomenon, as it requires far fewer equations of motion, and is energetically invariant under rotations. In this report a one dimensional simulation of the model will be presented along with preliminary investigations of two dimensional simulations.
crystalline orientations, crystallization, grain growth, phase field method, solidification
, Warren, J.
and Carter, W.
Vector-Valued Phase Field Model for Crystallization and Grain Boundary Formation, Scripta Materialia
(Accessed February 1, 2023)