We investigate the well-posedness of a phase-"eld model for the isothermal solidi"cation of a binary alloy due to Warren}Boettinger [12]. Existence of weak solution as well as regularity and uniqueness results are established under Lipschitz and boundedness assumptions for the non-linearities. A max
Computational modelling of dendritic to globular transition using an isothermal binary phase-field model
β Scribed by P. Gerald Tennyson; G. Phanikumar
- Book ID
- 107683071
- Publisher
- Springer-Verlag
- Year
- 2011
- Tongue
- English
- Weight
- 365 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0972-2815
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Using state-of-the-art numerical techniques, such as mesh adaptivity, implicit time-stepping and a non-linear multi-grid solver, the phase-field equations for the non-isothermal solidification of a dilute binary alloy have been solved. Using the quantitative, thin-interface formulation of the proble
The transition between diffusion controlled and massive transformation g βΞ± in Fe-C alloys is investigated by means of phase-field simulations and thermodynamic functions assessed by the Calphad technique as well as diffusional mobilities available in the literature. A gradual variation in propertie