Results 251 to 260 of about 21,023,140 (292)
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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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A variational phase field method for curve smoothing
Journal of Computational Physics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liyong Zhu +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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A phase-field method for elastic mechanics with large deformation
Journal of Computational Physics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiacheng Xu, Dan Hu, Han Zhou 0006
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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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Phase-Field Method for 2D Dendritic Growth
2004The phase field method is used to model the free dendritic growth into undercooled melt in 2D. The pair of two nonlinear reaction-diffusion equations – for the temperature and for the phase-field function – are solved numerically by using the finite element method in space.
Vladimir Slavov +2 more
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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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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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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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A phase-field method for shape optimization of incompressible flows
Computers & Mathematics with Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Futuan Li, Xianliang Hu
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