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Phase Field Methods

2020
This article reviews the principles and applications of the phase field technique for modeling phase transformations and microstructural evolutions, with an emphasis on solid-solid transformations. Conventional phase field models, which rely on phenomenological thermodynamic and kinetic descriptions, are first presented and examples of application are ...
Bellon, Pascal, Thuinet, Ludovic
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Phase Field Methods

2015
The phase-field method to modeling microstructure evolution in materials is introduced in this chapter. It can be employed to model, understand, and predict complex material behaviors at meso-scale (on the order of nano- to micro-meter size), and it covers application-relevant time scales (on the order of seconds to years).
Nan Wang, Long-Qing Chen
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Phase Field Approach

2011
The term phase field has recently become known across many fields of materials science. The meaning of phase field is the spatial and temporal order parameter field defined in a continuum-diffused interface model. By using the phase field order parameters, many types of complex microstructure changes observed in materials science are described ...
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On the relation between the standard phase-field model and a “thermodynamically consistent” phase-field model

Physica D: Nonlinear Phenomena, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Penrose, Oliver, Fife, Paul C.
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Phase-field models for anisotropic interfaces

Physical Review E, 1993
The inclusion of anisotropic surface free energy and anisotropic linear interface kinetics in phase-field models is studied for the solidification of a pure material. The formulation is described for a two-dimensional system with a smooth crystal-melt interface and for a surface free energy that varies smoothly with orientation, in which case a quite ...
McFadden, G.B.   +4 more
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Phase-field methods for interfacial boundaries

Physical Review B, 1986
A Landau-Ginzburg approach to an interface with finite thickness incorporates surface tension, anisotropy, curvature, and dynamics of the interface along with supercooling. Various aspects are rigorous.
, Caginalp, , Fife
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Phase Field Method

2006
The phase field method (PFM) can be used as an approach to dislocation dynamics simulations alternative to the line DD method discussed in Chapter 10. The degrees of freedom in PFM are continuous smooth fields occupying the entire simulation volume, and dislocations are identified with locations where the field values change rapidly.
Vasily Bulatov, Wei Cai
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A Microscopic Model of Phase Field Type

1999
We introduce a microscopic and stochastic model of phase field type and discuss its macroscopic limits.
BERTINI MALGARINI, Lorenzo   +2 more
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Phase-field modeling of microstructure evolution: Recent applications, perspectives and challenges

Progress in Materials Science, 2022
Javier Llorca, Damien Tourret
exaly  

Phase-Field Modeling

2005
The phase-field method is a powerful simulation tool to describe xxx the complex evolution of interfaces in a wide range of contexts without explicitly tracking these interfaces. Its main application to date has been to problems in materials science where the evolution of interfaces and defects in the interior or on the surface of a material has a ...
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