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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References
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Journal ArticleDOI
Adaptive phase field simulation of non-isothermal free dendritic growth of a binary alloy
TL;DR: In this paper, an adaptive phase field simulation is carried out for free dendritic growth in a nickel/copper system, where the simulation is performed in an extremely large domain for thermal boundary layer, while keeping fine mesh for the diffusive interface.
Journal ArticleDOI
The effects of free surfaces on martensite microstructures: 3D phase field microelasticity simulation study
TL;DR: In this paper, the phase field microelasticity approach to coherent phase transformations is extended to the case of a finite sample with free surfaces, and the 3D simulation model is based on numerical solution of exact elasticity equation.
Journal ArticleDOI
An iterative-perturbation scheme for treating inhomogeneous elasticity in phase-field models
TL;DR: In this article, a simple iterative-perturbation scheme for solving the elasticity equation in systems with strong elastic inhomogeneity is discussed, and the scheme is demonstrated to be efficient through numerical experiments and reliable through rigorous mathematical justification.
Journal Article
Theory of Macroscopic Periodicity for a Phase Transition in the Solid State
Journal ArticleDOI
Three-dimensional model of precipitation of ordered intermetallics
G. Rubin,Armen G. Khachaturyan +1 more
TL;DR: In this article, the development of the two-phase coherent microstructure in the prototype Ni-Al superalloy is studied by using the three-dimensional computer simulation technique, which explicitly includes the coherency strain, elastic anisotropy and L12 ordering of the preciptate phase.