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Vector-valued phase field model for crystallization and grain boundary formation

✍ Scribed by R. Kobayashi; J.A. Warren; W.C. Carter

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
443 KB
Volume
119
Category
Article
ISSN
0167-2789

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✦ Synopsis

We propose a new model for calculation of the crystalliztation 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.

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