A diffuse interface model for alloys with multiple components and phases

Garcke, Harald and Nestler, Britta and Stinner, Bjoern (2004) A diffuse interface model for alloys with multiple components and phases. SIAM JOURNAL ON APPLIED MATHEMATICS, 64 (3). pp. 775-799. ISSN 0036-1399, 1095-712X

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Abstract

A nonisothermal phase field model for alloys with multiple phases and components is derived. The model allows for arbitrary phase diagrams. We relate the model to classical sharp interface models by formally matched asymptotic expansions. In addition we discuss several examples and relate our model to the ones already existing.

Item Type: Article
Uncontrolled Keywords: FIELD MODELS; UNEQUAL CONDUCTIVITIES; MATHEMATICAL-MODEL; DENDRITIC GROWTH; ORDER-PARAMETER; GRAIN-GROWTH; SOLIDIFICATION; DYNAMICS; TRANSITIONS; SIMULATION; phase field models; sharp interface models; phase transitions; partial differential equations; alloy systems; matched asymptotic expansions
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Harald Garcke
Depositing User: Dr. Gernot Deinzer
Date Deposited: 27 Jul 2021 08:40
Last Modified: 27 Jul 2021 08:40
URI: https://pred.uni-regensburg.de/id/eprint/38265

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