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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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Phase field methods for free boundary problems
1982Mathematics Technical ...
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Semisharp Phase Field Method for Quantitative Phase Change Simulations
Physical Review Letters, 2003The standard phase field model for simulation of phase change requires an asymptotic analysis in a vanishing interface width, in order to connect the model parameters to the sharp interface parameters, which has hampered the quantitative usefulness of the method. In this Letter the method is simplified to the point that the relevant reduced problem can
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Phase-field modeling of microstructure evolution: Recent applications, perspectives and challenges
Progress in Materials Science, 2022Damien Tourret, Javier LLorca
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Computer Methods in Applied Mechanics and Engineering, 2022
Nguyen-Thanh Nhon, Weidong Li, Kun Zhou
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Nguyen-Thanh Nhon, Weidong Li, Kun Zhou
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A phase field numerical manifold method for crack propagation in quasi-brittle materials
Engineering Fracture Mechanics, 2021Yongtao Yang, Hong Zheng
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Adaptive phase field method using novel physics based refinement criteria
Computer Methods in Applied Mechanics and Engineering, 2021Haim Waisman, Sundararajan Natarajan
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