Journal ArticleDOI
An introduction to phase-field modeling of microstructure evolution
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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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Phase stability and precipitation modeling in neutron irradiated Zr–2% Nb alloy
TL;DR: In this paper , a corresponding phase field model by taking into account ballistic mixing and dynamics of point defects with their sinks (dislocation loops) is developed, and an analysis of precipitation dynamics and statistical distributions of precipitates with local rearrangement of non-equilibrium vacancies around precipitates is provided.
Journal ArticleDOI
Phase-field simulation for the formation of porous microstructures due to phase separation in polymer solutions on substrates with different wettabilities
TL;DR: In this paper , a phase-field model coupled with the wetting boundary condition was proposed to study the phase separation in binary polymeric solutions, and the porosity, number of droplets, and mean radius of the droplets were rationalized with the temperature gradient.
Journal ArticleDOI
Multi-phase-field modeling of grain growth in polycrystalline titanium under magnetic field and elastic strain
Journal ArticleDOI
Selection of solidification pathway in rapid solidification processes
TL;DR: In this paper , the microstructural evolutions during these two processes were investigated using phase-field modeling, and the variation of all key variables of the solid-liquid interface (temperature, composition, and velocity) throughout the entire rapid solidification of AM and MS processes was acquired with high accuracy.
Journal ArticleDOI
Precipitate growth kinetics under inhomogeneous concentration fields using a phase-field model
TL;DR: In this paper, the authors investigate precipitation dynamics in the presence of a local solute gradient using phase-field simulations and propose a phenomenological model to describe the diffusion-controlled growth kinetics of the Inconel 718 phase under a solute concentration gradient.
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.