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A Phase Field Model of the Impingement of Solidifying Particles



James A. Warren, W Carter, R Kobayashi


We propose a model of the impingement of solidifying crystalline particles, the ensuing grain boundary formation, and grain coarsening. This model improves upon previous theoretical descriptions of this phenomenon, in that the model has the proper behavior under rotations and is easy to implement numerically. A one dimensional analytic solution is presented. Also, insight into the model is straightforward since the parameters are physically motivated, and anisotropy in both the liquid-solid and grain boundary energies can be introduced in a natural manner.
Physica A-Statistical Mechanics and Its Applications
No. 1-2


crystalline, grain boundary formation, grain coarsening, impingement, model, phase field, solidifying


Warren, J. , Carter, W. and Kobayashi, R. (1998), A Phase Field Model of the Impingement of Solidifying Particles, Physica A-Statistical Mechanics and Its Applications (Accessed June 23, 2024)


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Created December 1, 1998, Updated February 17, 2017