Calculation of Phase Equilibria Based on the Levenberg-Marquardt Method

材料科学技术（英文）, 2005, 21(1): 10-12.

^1, , ^2, , ^3, , ^4, , ^5,

1.State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an 710072, China

2.College of Physics and Information Engineering, Henan Normal University, Xinxiang 453003, China

3.State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an 710072, China

4.State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an 710072, China

5.State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi'an 710072, China

基金项目: 国家重点基础研究发展计划(973计划)(G2000067202-1)

Calculation of Phase Equilibria Based on the Levenberg-Marquardt Method

Keywords： Levenberg-Marquardt method

The Levenberg-Marquardt method, the best algorithm to obtain the least-square solution of nonlinear equations, is applied to calculate the stable phase equilibria. It can get the best combination between robustness and speed of the calculations. Its application to ternary Al-Si-Mg system is executed in detail. The calculated phase equilibria agree well with the experimental results. Furthermore, the Levenberg-Marquardt method is not sensitive to the initial values.

参考文献

[1]	IAnsara .[J].International Metals Reviews,1979,1:20.
[2]	ADPelton,CWale .[J].Calphad-computer coupling of phase diagrams and thermochemistry,1977,1:253.
[3]	NSaunders APMiodownik.CALPHAD A Comprehensive Guide[M].Pergamon Press Oxford,1998:261.
[4]	JO ersson;THel er;LHoglund;Pingfang Shi BSundman .[J].CALPHAD-Computer Coupling of Phase Diagrams and Thermochemistry,2002,26:273.
[5]	CWale;P Chartr;SADegterov;GEriksson, KHack, RBMahfoud, JMelancon, ADPelton , SPetersen .[J].CALPHAD-Computer Coupling of Phase Diagrams and Thermochemistry,2002,26:189.
[6]	RHDavies;ATDinsdale;JAGisby;JAJRobinson ,SMMartin .[J].CALPHAD-Computer Coupling of Phase Diagrams and Thermochemistry,2002,26:229.
[7]	LinLI;PWollants LDelaey .[J].Calphad-computer coupling of phase diagrams and thermochemistry,1994,18:89.
[8]	MOnderEfe OKaynak .[J].Fuzzy Sets and Systems,2001,122:153.
[9]	HOhtani;KOkuda KIshida .[J].Journal of Phase Equilibria,1995,16:416.
[10]	李爱军,李贺军,李克智,顾正彬.Modeling of CVI process in fabrication of carbon/carbon composites by an artificial neural network[J].中国科学E辑(英文版),2003(02):173-181.
[11]	Jin-yan Fan.A MODIFIED LEVENBERG-MARQUARDT ALGORITHM FOR SINGULAR SYSTEM OF NONLINEAR EQUATIONS[J].计算数学(英文版),2003(05):625-636.
[12]	JMiettinen .[J].Calphad-computer coupling of phase diagrams and thermochemistry,2003,27:263.
[13]	Tuhler;SGFries;PJSpencer .[J].Journal of Phase Equilibria,1998,19:317.
[14]	HFeufel;TGodecke;HLLukas FSommer .[J].Journal of Alloys and Compounds,1997,247:31.
[15]	ARoosz;JFarkas GKaptay .[J].Materials Science Forum,2003,414-415:323.
[16]	JLMeijering .[J].Philips Res Dept,1951,6:183.

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Calculation of Phase Equilibria Based on the Levenberg-Marquardt Method

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