Results 201 to 210 of about 3,816,274 (243)
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Phase-field methods for interfacial boundaries
Physical Review B, 1986A 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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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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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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Bi-Velocity Phase Field Method
Defect and Diffusion Forum, 2013In this paper we couple the bi-velocity with the phase field method. It deals with: (1) the different mobility of the components in the two-phase zone; (2) nonzero steps of molar volumes for each component from phase to phase and (3) the composition dependent interdiffusion coefficients.
Bartek Wierzba +3 more
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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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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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Discontinuous Galerkin Methods for Network Patterning Phase-Field Models
Journal of Scientific Computing, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Lei +3 more
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Nucleation and successive microstructure evolution via phase-field and phase-field crystal method
Journal of Crystal Growth, 2010Abstract It is well known that the mechanical material properties of a material sample after solidification are strongly tied to its microstructure structure. Nevertheless, the precise laws governing the initial stage of this structuring process, i.e.
Robert Prieler +2 more
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Coherent Precipitation — Phase Field Method
2005Phase transformation is still the most efficient and effective way to produce various microstructures at mesoscales, and to control their evolution over time. In crystalline solids, phase transformations are usually accompanied by coherency strain generated by lattice misfit between coexisting phases.
C. Shen, Y. Wang
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A brief introduction to phase field method
AIP Conference Proceedings, 2010In this tutorial paper we will give a brief introduction of phase field method as a mathematical tool for describing interfaces and their motion. This method was originally developed as a model of solidification, which enabled us to simulate complicated structures like dendritic crystals easily.
Ryo Kobayashi +3 more
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Exploring topological singularities with phase-field methods
The European Physical Journal Plus, 2011We discuss the use of phase-field methods in problems of interface dynamics where topological singularities are relevant. We illustrate our discussion on the case study of centrifugally driven Hele-Shaw flows, where the proposed analysis has been recently tested.
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The Phase-Field Method in Optimal Design
2006We describe the phase-field method, a new approach to optimal design originally introduced in Bourdin and Chambolle (2000, 2003). It is based on the penalization of the variation of the properties of the designs, and its variational approximation (in the sense of Г-convergence.
Blaise Bourdin, Antonin Chambolle
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