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Vector-Valued Phase Field Model for Crystallization and Grain Boundary Formation

Published

Author(s)

R Kobayashi, James A. Warren, W Carter

Abstract

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.
Citation
Scripta Materialia

Keywords

crystalline orientations, crystallization, grain growth, phase field method, solidification

Citation

Kobayashi, R. , Warren, J. and Carter, W. (2021), Vector-Valued Phase Field Model for Crystallization and Grain Boundary Formation, Scripta Materialia (Accessed February 1, 2023)
Created October 12, 2021