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A Topology Constrained Phase Field Model

SSRN Electronic Journal, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Phase field method

Materials Science and Technology, 2010
In an ideal scenario, a phase field model is able to compute quantitative aspects of the evolution of microstructure without explicit intervention. The method is particularly appealing because it provides a visual impression of the development of structure, one which often matches observations.
Qin, RS, Bhadeshia, HK
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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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A phase field model of capillarity

Physics of Fluids, 1995
The phenomenological derivation of a phase field model of capillarity that accounts for the structure of an interfacial layer formed by two immiscible incompressible liquids is addressed. A rheological expression for the reversible component of capillary stresses is obtained in terms of the free energy of a binary fluid, which depends on the absolute ...
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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 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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Parallel computing for phase-field models

The International Journal of High Performance Computing Applications, 2013
The phase-field method is gradually exploiting new research areas, and the demand for the ability to simulate larger domains is increasing continuously with the move towards massive parallel computation. We emphasize the efficient usage of high-performance computing resources by investigating the scaling behavior of 1D domain decomposition, 3D domain ...
Alexander Vondrous   +3 more
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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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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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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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