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This article discusses the fundamental aspects of phase-field microstructure modeling. It describes the evolution of microstructure modeling, including nucleation, growth, and coarsening. The article reviews two approaches used in the modeling nucleation of microstructure: the Langevin force approach and explicit nucleation algorithm. Calculation of activation energy and critical nucleus configuration is discussed. The article presents the deterministic phase-field kinetic equations for modeling growth and coarsening of microstructure. It also describes the material-specific model inputs, chemical free energy and kinetic coefficients, for phase-field microstructure modeling. The article provides four examples that illustrate some aspects of phase-field modeling.

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Chen Shen, Yunzhi Wang, Phase-Field Microstructure Modeling, Fundamentals of Modeling for Metals Processing, Vol 22A, ASM Handbook, Edited By D.U. Furrer, S.L. Semiatin, ASM International, 2009, p 297–311,

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