Journal ArticleDOI
An introduction to phase-field modeling of microstructure evolution
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TLDR
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.Abstract:
The phase-field method has become an important and extremely versatile technique for simulating microstructure evolution at the mesoscale. Thanks to the diffuse-interface approach, it allows us to study the evolution of arbitrary complex grain morphologies without any presumption on their shape or mutual distribution. It is also straightforward to account for different thermodynamic driving forces for microstructure evolution, such as bulk and interfacial energy, elastic energy and electric or magnetic energy, and the effect of different transport processes, such as mass diffusion, heat conduction and convection. The purpose of the paper is to give an introduction to the phase-field modeling technique. The concept of diffuse interfaces, the phase-field variables, the thermodynamic driving force for microstructure evolution and the kinetic phase-field equations are introduced. Furthermore, common techniques for parameter determination and numerical solution of the equations are discussed. To show the variety in phase-field models, different model formulations are exploited, depending on which is most common or most illustrative.read more
Citations
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Dissertation
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Journal ArticleDOI
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S. L. Wang,Robert F. Sekerka,A. A. Wheeler,Bruce T. Murray,Sam R. Coriell,Richard J. Braun,Geoffrey B. McFadden +6 more
TL;DR: In this article, a class of phase-field models for crystallization of a pure substance from its melt are presented, which are based on an entropy functional, and are therefore thermodynamically consistent inasmuch as they guarantee spatially local positive entropy production.
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References
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Journal ArticleDOI
Phase Field Theory of Heterogeneous Crystal Nucleation
TL;DR: The phase field approach is used to model heterogeneous crystal nucleation in an undercooled pure liquid in contact with a foreign wall and determines the properties of critical nuclei, including their free energy of formation and the contact angle as a function of undercooling.
Journal ArticleDOI
Phase-field simulations of non-isothermal binary alloy solidification
TL;DR: In this paper, a phase-field method for two-dimensional simulations of binary alloy solidification is studied, which involves both temperature and solute redistribution, and the equations are solved using the finite element method with triangular elements on unstructured meshes.
Journal ArticleDOI
Coupling of multicomponent thermodynamic databases to a phase field model: application to solidification and solid state transformations of superalloys
TL;DR: In this article, a multicomponent extension to a multi-phase field model was proposed to simulate solidification and heat treatment of technical single crystal superalloys, which can be applied to any system if a thermodynamic database is available and is not restricted to a special formulation of the Gibbs energy.
Journal ArticleDOI
Sharp interface limits of phase-field models.
TL;DR: In this article, the sharp-interface limit is derived from phase-field models with interfaces that are diffuse on a length scale x i. The projection operator method is used to extract the "sharp interface limit" from phase field models which have interfaces that have diffuse interfaces.
Journal ArticleDOI
Phase-field model for solidification of a eutectic alloy
TL;DR: In this article, two phase-field models for solidification of a eutectic alloy were discussed, one based on a regular solution model for the solid with a chemical miscibility gap and another based on two order parameters to distinguish the liquid phase and the two solid phases.