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
Coupled Nonlinear Ginzburg-Landau and Mechanics Model for Martensitic Transformations in Polycrystals
TL;DR: In this paper, a nonlinear Landau model with irreducible representation of strains and the inertial dynamics for polycrystals is proposed to study the microstructure evolution of polycrystalline carbon steels in 3D.
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Homogenization of a fully coupled thermoelasticity problem for a highly heterogeneous medium with a priori known phase transformations
Michael Eden,Adrian Muntean +1 more
TL;DR: In this paper, the authors investigate a linear, fully coupled thermoelasticity problem for a highly heterogeneous, two-phase medium, which consists of a connected matrix with disconnected, initially periodically distributed inclusions separated by a sharp interface undergoing an a priori known interface movement.
Journal ArticleDOI
Effect of liquid diffusion coefficients on microstructure evolution during solidification of Al356.1 alloy
TL;DR: In this paper, the effect of liquid diffusion coefficients on the microstructure evolution during solidification of primary (Al) phase in Al356.1 alloy was investigated by means of the phase-field simulation using two sets of diffusion coefficients in liquid phase, while fixing other thermophysical and numerical parameters.
Journal ArticleDOI
Numerical Phase-Field Model Validation for Dissolution of Minerals
TL;DR: In this paper, the authors studied the diffusion-controlled congruent dissolution of minerals from a meso-scale phase transition perspective using the Finite Element Method (FEM) and using the phase-field (PF) approach.
References
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Journal ArticleDOI
Free Energy of a Nonuniform System. I. Interfacial Free Energy
John W. Cahn,John E. Hilliard +1 more
TL;DR: In this article, it was shown that the thickness of the interface increases with increasing temperature and becomes infinite at the critical temperature Tc, and that at a temperature T just below Tc the interfacial free energy σ is proportional to (T c −T) 3 2.
Journal ArticleDOI
Theory of Dynamic Critical Phenomena
TL;DR: The renormalization group theory has been applied to a variety of dynamic critical phenomena, such as the phase separation of a symmetric binary fluid as mentioned in this paper, and it has been shown that it can explain available experimental data at the critical point of pure fluids, and binary mixtures, and at many magnetic phase transitions.
Journal ArticleDOI
A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
Samuel M. Allen,John W. Cahn +1 more
A microscopic theory for antiphase boundary motion and its application to antiphase domain coasening
TL;DR: In this paper, a microscopic diffusional theory for the motion of a curved antiphase boundary is presented, where the interfacial velocity is linearly proportional to the mean curvature of the boundary, but unlike earlier theories the constant of proportionality does not include the specific surface free energy.