Journal ArticleDOI
Phase-field models for anisotropic interfaces.
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TLDR
The method of matched asymptotic expansions is used to recover the appropriate anisotropic form of the Gibbs-Thomson equation in the sharp-interface limit in which the width of the diffuse interface is thin compared to its local radius of curvature.Abstract:
The inclusion of anisotropic surface free energy and anisotropic linear interface kinetics in phase-field models is studied for the solidification of a pure material. The formulation is described for a two-dimensional system with a smooth crystal-melt interface and for a surface free energy that varies smoothly with orientation, in which case a quite general dependence of the surface free energy and kinetic coefficient on orientation can be treated; it is assumed that the anisotropy is mild enough that missing orientations do not occur. The method of matched asymptotic expansions is used to recover the appropriate anisotropic form of the Gibbs-Thomson equation in the sharp-interface limit in which the width of the diffuse interface is thin compared to its local radius of curvature. It is found that the surface free energy and the thickness of the diffuse interface have the same anisotropy, whereas the kinetic coefficient has an anisotropy characterized by the product of the interface thickness with the intrinsic mobility of the phase field.read more
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Journal ArticleDOI
Phase-Field Models for Microstructure Evolution
TL;DR: The phase-field method has recently emerged as a powerful computational approach to modeling and predicting mesoscale morphological and microstructure evolution in materials as discussed by the authors, which is able to predict the evolution of arbitrary morphologies and complex microstructures without explicitly tracking the positions of interfaces.
Journal ArticleDOI
Phase-Field Simulation of Solidification
TL;DR: An overview of the phase-field method for modeling solidification is presented, together with several example results as mentioned in this paper, which has been applied to a wide variety of problems including dendritic, eutectic, and peritectic growth in alloys; and solute trapping during rapid solidification.
Journal ArticleDOI
Phase-field models in materials science
TL;DR: In this article, the authors reviewed the application of the phase-field method in different fields of materials science, including elastic interactions and fluid flow in multi-grain multi-phase structures in multicomponent materials.
Journal ArticleDOI
An introduction to phase-field modeling of microstructure evolution
TL;DR: In this article, the authors introduce the concept of diffuse interfaces, the phase-field variables, the thermodynamic driving force for microstructure evolution and the kinetic phasefield equations are discussed.
Journal ArticleDOI
Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method
TL;DR: In this paper, a comprehensive model for solving the heat and solute diffusion equations during solidification that avoids tracking the liquid-solid interface is developed, where the bulk liquid and solid phases are treated as regular solutions and an order parameter (the phase field) is introduced to describe the interfacial region between them.
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