A diffuse interface model for alloys with multiple components and phases

被引：97

作者：

Garcke, H ^{[1
]}

Nestler, B

Stinner, B

机构：

[1] Univ Regensburg, NWF Math 1, D-93040 Regensburg, Germany

[2] FH Karlsruhe, Fachbereich Informat, D-76133 Karlsruhe, Germany

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2004年 / 64卷 / 03期

关键词：

phase field models; sharp interface models; phase transitions; partial differential equations; alloy systems; matched asymptotic expansions;

D O I：

10.1137/S0036139902413143

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

收藏

页码：775 / 799

页数：25

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