McFadden, G.
(2002),
Phase-Field Models of Solidification, Contemporary Mathematics
(Accessed October 31, 2024)
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Phase-Field Models of Solidification
Published
Author(s)
Abstract
Phase-field models of solidification are presented in the context of diffuse-interface theories based on conserved and non-conserved Order parameters. Phase-field models for single-component materials are derived, and the sharp interface limits that relate the models to conventional sharp-interface theories are discussed. Numerical calculations of dendritic growth are presented to illustrate the application of these techniques. Phase-field models for binary alloys are also given, with representative numerical calculations. Extensions to phase transitions with hydrodynamic or elastic effects are also given. The ability of diffuse-interface theories to capture interfacial phenomenn such as wetting, adsorption, solute trapping, surface stress, and charged double layers in electrochemical systems are also noted.Citation
Contemporary Mathematics
Volume
306
Pub Type
Journals
Keywords
diffuse interface, phase transitions
Citation
Issues
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Created November 1, 2002, Updated February 17, 2017