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Application of the maximal entropy production principle to rapid solidification: A multi-phase-field model

Wang, Haifeng and Liu, Feng and Ehlen, Georg and Herlach, Dieter (2013) Application of the maximal entropy production principle to rapid solidification: A multi-phase-field model. Acta Materialia, 61, pp. 2617-2627. Elsevier. DOI: 10.1016/j.actamat.2013.01.041 ISSN 1359-6454

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Official URL: http://dx.doi.org/10.1016/j.actamat.2013.01.041


Because the Cahn–Hillard and Allen–Cahn equations cannot deal with the additional constraints in the multi-phase-field models, several approximate treatments, e.g. a specific partition relation and the condition of equal or unequal diffusion potentials, were proposed. In this paper, the problem is solved successfully by the maximal entropy production principle and a model is developed for rapid solidification of a binary alloy system. Due to the mixture law used to define the free energy density, solute concentration and chemical potential jumps happen at an “imaginary” sharp interface between solid and liquid. The solute diffusions in solid and liquid are described by two independent equations and additional non-linear equations do not need to be employed to fix the solute concentrations of solid and liquid. Application to solute trapping during rapid solidification of Si–9 at.% As alloy shows that a good agreement between the model predictions and the experimental results is obtained. The interface and bulk contributions are decoupled at very low and very high interface velocities and in other cases the interaction between them depends weakly on the interface velocity.

Item URL in elib:https://elib.dlr.de/81732/
Document Type:Article
Title:Application of the maximal entropy production principle to rapid solidification: A multi-phase-field model
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Wang, Haifenghaifeng.wang (at) dlr.deUNSPECIFIED
Ehlen, Georggeorg.ehlen (at) dlr.deUNSPECIFIED
Herlach, Dieterdieter.herlach (at) dlr.deUNSPECIFIED
Date:January 2013
Journal or Publication Title:Acta Materialia
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
DOI :10.1016/j.actamat.2013.01.041
Page Range:pp. 2617-2627
Keywords:Undercooling of Materials
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Research under Space Conditions
DLR - Research area:Raumfahrt
DLR - Program:R FR - Forschung unter Weltraumbedingungen
DLR - Research theme (Project):R - Vorhaben Materialwissenschaftliche Forschung (old)
Location: Köln-Porz
Institutes and Institutions:Institute of Materials Physics in Space > Leitungsbereich MP
Deposited By: Herlach, Dieter
Deposited On:26 Mar 2013 10:35
Last Modified:10 Jan 2019 15:45

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