A mathematical model for the solute drag effect on recrystallization

Masayoshi Suehiro, Zi-kui Liu, John Ågren

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The model for the solute drag effect in phase transformations has been applied to recrystallization, i.e., moving grain boundaries. In this model, the total driving force is dissipated by the interfacial energy, the finite interfacial mobility, the solute drag in boundaries, and diffusion in the matrix ahead of the interface, of which all are taken into account consistently. The effects of the Gibbs energy of segregation and the diffusivity of impurity atoms in boundaries were investigated. The results show that the Gibbs energy of segregation mainly affects the critical composition at which the drastic change in the boundary velocity appears, and the diffusivity of impurity atoms in boundaries mainly affects the velocity reduced by the solute drag effect. In other words, the Gibbs energy of segregation and the diffusivity of impurity atoms in boundaries can be evaluated from experimental data by means of the present model. This model was applied to the Al-Mg system, and the Gibbs energy of segregation and the diffusivity of Mg in boundaries were evaluated from experimental data. The evaluated Gibbs energy of segregation agrees with the estimate based on elastic energy considerations. The diffusivity estimated from this model is smaller than that measured along the grain boundary.

Original languageEnglish (US)
Pages (from-to)1029-1034
Number of pages6
JournalMetallurgical and Materials Transactions A: Physical Metallurgy and Materials Science
Volume29
Issue number13
DOIs
StatePublished - Mar 1 1998

Fingerprint

drag
Drag
Gibbs free energy
mathematical models
solutes
diffusivity
Mathematical models
Impurities
impurities
Atoms
energy
Grain boundaries
grain boundaries
atoms
interfacial energy
Interfacial energy
phase transformations
Phase transitions
estimates
matrices

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Metals and Alloys

Cite this

@article{0d73e41ecd5a46ec8193783f414b971b,
title = "A mathematical model for the solute drag effect on recrystallization",
abstract = "The model for the solute drag effect in phase transformations has been applied to recrystallization, i.e., moving grain boundaries. In this model, the total driving force is dissipated by the interfacial energy, the finite interfacial mobility, the solute drag in boundaries, and diffusion in the matrix ahead of the interface, of which all are taken into account consistently. The effects of the Gibbs energy of segregation and the diffusivity of impurity atoms in boundaries were investigated. The results show that the Gibbs energy of segregation mainly affects the critical composition at which the drastic change in the boundary velocity appears, and the diffusivity of impurity atoms in boundaries mainly affects the velocity reduced by the solute drag effect. In other words, the Gibbs energy of segregation and the diffusivity of impurity atoms in boundaries can be evaluated from experimental data by means of the present model. This model was applied to the Al-Mg system, and the Gibbs energy of segregation and the diffusivity of Mg in boundaries were evaluated from experimental data. The evaluated Gibbs energy of segregation agrees with the estimate based on elastic energy considerations. The diffusivity estimated from this model is smaller than that measured along the grain boundary.",
author = "Masayoshi Suehiro and Zi-kui Liu and John {\AA}gren",
year = "1998",
month = "3",
day = "1",
doi = "10.1007/s11661-998-1012-2",
language = "English (US)",
volume = "29",
pages = "1029--1034",
journal = "Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science",
issn = "1073-5623",
publisher = "Springer Boston",
number = "13",

}

A mathematical model for the solute drag effect on recrystallization. / Suehiro, Masayoshi; Liu, Zi-kui; Ågren, John.

In: Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science, Vol. 29, No. 13, 01.03.1998, p. 1029-1034.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A mathematical model for the solute drag effect on recrystallization

AU - Suehiro, Masayoshi

AU - Liu, Zi-kui

AU - Ågren, John

PY - 1998/3/1

Y1 - 1998/3/1

N2 - The model for the solute drag effect in phase transformations has been applied to recrystallization, i.e., moving grain boundaries. In this model, the total driving force is dissipated by the interfacial energy, the finite interfacial mobility, the solute drag in boundaries, and diffusion in the matrix ahead of the interface, of which all are taken into account consistently. The effects of the Gibbs energy of segregation and the diffusivity of impurity atoms in boundaries were investigated. The results show that the Gibbs energy of segregation mainly affects the critical composition at which the drastic change in the boundary velocity appears, and the diffusivity of impurity atoms in boundaries mainly affects the velocity reduced by the solute drag effect. In other words, the Gibbs energy of segregation and the diffusivity of impurity atoms in boundaries can be evaluated from experimental data by means of the present model. This model was applied to the Al-Mg system, and the Gibbs energy of segregation and the diffusivity of Mg in boundaries were evaluated from experimental data. The evaluated Gibbs energy of segregation agrees with the estimate based on elastic energy considerations. The diffusivity estimated from this model is smaller than that measured along the grain boundary.

AB - The model for the solute drag effect in phase transformations has been applied to recrystallization, i.e., moving grain boundaries. In this model, the total driving force is dissipated by the interfacial energy, the finite interfacial mobility, the solute drag in boundaries, and diffusion in the matrix ahead of the interface, of which all are taken into account consistently. The effects of the Gibbs energy of segregation and the diffusivity of impurity atoms in boundaries were investigated. The results show that the Gibbs energy of segregation mainly affects the critical composition at which the drastic change in the boundary velocity appears, and the diffusivity of impurity atoms in boundaries mainly affects the velocity reduced by the solute drag effect. In other words, the Gibbs energy of segregation and the diffusivity of impurity atoms in boundaries can be evaluated from experimental data by means of the present model. This model was applied to the Al-Mg system, and the Gibbs energy of segregation and the diffusivity of Mg in boundaries were evaluated from experimental data. The evaluated Gibbs energy of segregation agrees with the estimate based on elastic energy considerations. The diffusivity estimated from this model is smaller than that measured along the grain boundary.

UR - http://www.scopus.com/inward/record.url?scp=0032024609&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032024609&partnerID=8YFLogxK

U2 - 10.1007/s11661-998-1012-2

DO - 10.1007/s11661-998-1012-2

M3 - Article

AN - SCOPUS:0032024609

VL - 29

SP - 1029

EP - 1034

JO - Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science

JF - Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science

SN - 1073-5623

IS - 13

ER -