Interdiffusion Analysis in Ternary Systems to Process Composition Profiles and Obtain Constant Interdiffusion Coefficients Using One Compact Diffusion Couple

被引：3
作者：
Afikuzzaman, Mohammad [1 ]
Belova, Irina V. [1 ]
Murch, Graeme E. [1 ]
Morral, John E. [2 ]
机构：
[1] Univ Newcastle, Sch Engn, Prior Res Ctr Geotech & Mat Modelling, Univ Ctr Mass & Thermal Transport Engn Mat, Callaghan, NSW 2308, Australia
[2] Ohio State Univ, Dept Mat Sci & Engn, Columbus, OH 43221 USA
来源：
JOURNAL OF PHASE EQUILIBRIA AND DIFFUSION | 2019年 / 40卷 / 04期
基金：
澳大利亚研究理事会;
关键词：
compact diffusion couple; error-function solution; interdiffusion; modified square root diffusivity method; ternary alloys; SQUARE-ROOT DIFFUSIVITY; MULTICOMPONENT DIFFUSION; 3-COMPONENT SYSTEMS; MATRIX;
D O I：
10.1007/s11669-019-00740-0
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
The interdiffusion process in a three-component alloy system has been studied by means of numerical analysis. The composition profiles for a ternary system were generated making use of the closed-form solution with a constant interdiffusion matrix with the accompanying analysis of the diffusion paths. Two methods [the Fitting Method and the modified square root diffusivity (MSQRD) method] have been considered to investigate the inverse interdiffusion problem for application to a single interdiffusion couple measurement. The Fitting Method simultaneously fits the required functional form into the data obtained for two composition profiles. Such fitted parameters are used to determine the constant interdiffusion matrix. The MSQRD method has been applied to the generated composition profiles and performs very well for all the cases considered. It was found that the errors of the MSQRD method are, in general, lower than in the use of the Fitting Method even without imposing artificial noise on the composition profiles to mimic the experimental data. In addition, it has been shown that the back-tests of the composition profiles must not be used as the only proof of the reliability of the methods used.
引用
收藏
页码：522 / 531
页数：10
相关论文
共 33 条
  • [1] Comparison of the Sauer-Freise and Hall Methods for Obtaining Interdiffusion Coefficients in Binary Alloys
    Ahmed, T.
    Belova, I. V.
    Evteev, A. V.
    Levchenko, E. V.
    Murch, G. E.
    [J]. JOURNAL OF PHASE EQUILIBRIA AND DIFFUSION, 2015, 36 (04) : 366 - 374
  • [2] Boltzmann L., 1894, ANN PHYS, V53, P959, DOI DOI 10.1002/ANDP.18942891315
  • [3] A numerical inverse method for calculating the interdiffusion coefficients along a diffusion path in ternary systems
    Bouchet, R
    Mevrel, R
    [J]. ACTA MATERIALIA, 2002, 50 (19) : 4887 - 4900
  • [4] Interdiffusion in the FCC-structured Al-Co-Cr-Fe-Ni high entropy alloys: Experimental studies and numerical simulations
    Dabrowa, Juliusz
    Kucza, Witold
    Cieslak, Grzegorz
    Kulik, Tadeusz
    Danielewski, Marek
    Yeh, Jien-Wei
    [J]. JOURNAL OF ALLOYS AND COMPOUNDS, 2016, 674 : 455 - 462
  • [5] Determination and assessment of ternary interdiffusion coefficients from individual diffusion couples
    Day, KM
    Ram-Mohan, LR
    Dayananda, MA
    [J]. JOURNAL OF PHASE EQUILIBRIA AND DIFFUSION, 2005, 26 (06) : 579 - 590
  • [6] A new analysis for the determination of ternary interdiffusion coefficients from a single diffusion couple
    Dayananda, MA
    Sohn, YH
    [J]. METALLURGICAL AND MATERIALS TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 1999, 30 (03): : 535 - 543
  • [7] DAYANANDA MA, 1965, T METALL SOC AIME, V233, P1287
  • [8] An examination of a multicomponent diffusion couple
    Dayananda, Mysore A.
    [J]. JOURNAL OF PHASE EQUILIBRIA AND DIFFUSION, 2006, 27 (06) : 572 - 581
  • [9] Determination of eigenvalues, eigenvectors, and interdiffusion coefficients in ternary diffusion from diffusional constraints at the Matano plane
    Dayananda, Mysore A.
    [J]. ACTA MATERIALIA, 2017, 129 : 474 - 481
  • [10] Divinski SV, 2018, DIFFUS FDN, V17, P29, DOI [10.4028/www.scientific.net/DF.17.29, DOI 10.4028/WWW.SCIENTIFIC.NET/DF.17.29]
1234