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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Book ChapterDOI
Phase-Field Modeling for Dynamic Recrystallization
TL;DR: In this paper, a multi-phase-field dynamic recrystallization (MPF-DRX) model is introduced to simulate the mechanical properties of DRX materials during hot working.
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Massiv-parallele und großskalige Phasenfeldsimulationen zur Untersuchung der Mikrostrukturentwicklung
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Early stage phase separation in ternary alloys: A test of continuum simulations
TL;DR: In this article, the phase separation in the γ − γ ’ alloy 5.2%Al-14.2 %Cr-Ni at 873.15 K was investigated by three-dimensional phase-field simulations, employing a model where both thermodynamic and kinetic parameters were experimentally verified.
Journal ArticleDOI
Methods to increase computational efficiency of CALPHAD-based thermodynamic and kinetic models employed in describing high temperature material degradation
TL;DR: The applicability of a few methods was investigated to increase the computational efficiency of coupled thermodynamic and kinetic models and it was found that the computational scaling was still poor compared to the MPI computations.
Journal ArticleDOI
Precipitate formation in aluminium alloys: Multi-scale modelling approach
David Kleiven,Jaakko Akola +1 more
TL;DR: In this paper, the formation of a layered MgSi phase, with (100) planes, is a particularly stable solute aggregation motif within the Al host matrix, and they can act as precursors for the important and well-known β″-type precipitates which are formed by translating one Mg column by a 1/2 lattice vector.
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.