Kobayashi, R.
, Warren, J.
and Carter, W.
(2021),
Vector-Valued Phase Field Model for Crystallization and Grain Boundary Formation, Scripta Materialia
(Accessed March 14, 2026)
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Vector-Valued Phase Field Model for Crystallization and Grain Boundary Formation
Published
Author(s)
R Kobayashi, , 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
Pub Type
Journals
Keywords
crystalline orientations, crystallization, grain growth, phase field method, solidification
Citation
Issues
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Created October 12, 2021