Bracket formalism applied to phase field models of alloy solidification
- Submitting institution
-
The University of Leeds
- Unit of assessment
- 12 - Engineering
- Output identifier
- CHEM-64
- Type
- D - Journal article
- DOI
-
10.1016/j.commatsci.2016.09.036
- Title of journal
- Computational Materials Science
- Article number
- -
- First page
- 426
- Volume
- 126
- Issue
- -
- ISSN
- 0927-0256
- Open access status
- Compliant
- Month of publication
- October
- Year of publication
- 2016
- URL
-
https://doi.org/10.1016/j.commatsci.2016.09.036
- Supplementary information
-
-
- Request cross-referral to
- -
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
-
2
- Research group(s)
-
-
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- This paper fundamentally reformulates the way in which evolution of the thermal field is included within phase-field models of solidification, critical for the prediction of alloy microstructure. Conventionally, the phase and solute transport equations are obtained from variational derivatives of free energy, but the temperature equation is added ad-hoc. Produced as part of The Future Liquid Metal Engineering Hub (EPSRC-EP/N007638/1, www.lime.ac.uk), this study employs a variant of the Poisson bracket formulation to obtain the temperature equation, in a thermodynamically consistent fashion, from variational calculus. Additional terms coupling the temperature and phase evolution equations are uncovered and their effect evaluated.
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -
