Modified evolution equations for the precipitation kinetics of complex phases in multi-component systems

被引：115

作者：

Kozeschnik, E

Svoboda, J

Fischer, FD

机构：

[1] Graz Univ Technol, Inst Mat Sci Welding & Forming, A-8010 Graz, Austria

[2] Mat Ctr Leoben, A-8700 Leoben, Austria

[3] Acad Sci Czech Republ, Inst Phys Mat, CZ-61662 Brno, Czech Republic

[4] Montan Univ Leoben, Inst Mech, A-8700 Leoben, Austria

[5] Austrian Acad Sci, Erich Schmid Inst Mat Sci, A-8700 Leoben, Austria

来源：

CALPHAD-COMPUTER COUPLING OF PHASE DIAGRAMS AND THERMOCHEMISTRY | 2004年 / 28卷 / 04期

关键词：

modeling; precipitation kinetics; thermodynamic extremal principle; stoichiometric constraints;

D O I：

10.1016/j.calphad.2004.11.003

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

Recently, a model has been developed for the evolution of spherical precipitates in multi-component, multi-phase systems based on the assumption of a maximum Gibbs energy dissipation rate. The mean-field type equations determine the rate of change of the radius and the chemical composition of each individual precipitate from a system of linear equations. For precipitates with complex stoichiometric composition, this first approach is not applicable. In this paper, modified evolution equations are presented that allow for consideration of arbitrary compositional constraints in precipitates and thus overcome the limitations of the initial model formulation. © 2005 Elsevier Ltd. All rights reserved.

引用

页码：379 / 382

页数：4

共 8 条

[1] Modelling of kinetics in multi-component multi-phase systems with spherical precipitates - II: Numerical solution and application [J].

Kozeschnik, E ;

Svoboda, J ;

Fratzl, P ;

Fischer, FD .

MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING, 2004, 385 (1-2) :157-165

[2]

Kozeschnik E., 2001, MATH MODELLING WELD, V5, P349

[3] Reciprocal relations in irreversible processes. I. [J].

Onsager, L .

PHYSICAL REVIEW, 1931, 37 (04) :405-426

[4] Reciprocal relations in irreversible processes. II. [J].

Onsager, L .

PHYSICAL REVIEW, 1931, 38 (12) :2265-2279

[5]

Rajek J, 2003, MODELING, CONTROL AND OPTIMIZATION IN FERROUS AND NONFERROUS INDUSTRY, P435

[6]

SUNDMAN B, 1992, SGTE SOLUTION DATABA

[7] Modelling of kinetics in multi-component multi-phase systems with spherical precipitates - I: Theory [J].

Svoboda, J ;

Fischer, FD ;

Fratzl, P ;

Kozeschnik, E .

MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING, 2004, 385 (1-2) :166-174

[8] ON DIFFUSION-CONTROLLED EVOLUTION OF CLOSED SOLID-STATE THERMODYNAMIC SYSTEMS AT CONSTANT TEMPERATURE AND PRESSURE [J].

SVOBODA, J ;

TUREK, I .

PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1991, 64 (06) :749-759

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