Computer simulation of spinodal decomposition in Fe-Cr-Ni ternary alloys and Fe-Cr-Mo-Ni quaternary alloys

Ling Ling Yang, Yoshiyuki Saito

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Numerical simulations of phase separation in Fe-Cr-Ni ternary alloys and Fe-Cr-Mo-Ni quaternary alloys similar to ferrite phases in duplex stainless steels were performed with using of the Cahn-Hilliard equations. A new numerical model based on the Gauss-Seidel and Newton-Raphson methods were utilized to obtain efficient and accurate solution. We obtained that small addition of Ni retard phase separation of Cr in Fe-Cr-Ni ternary alloys. The simulation results on behavior of Mo and Ni in Fe-Cr-Mo-Ni ternary alloys were quite similar to Mo in Fe-Cr- Mo and Ni in Fe-Cr-Ni ternary alloys. It is known that behavior of Mo or Ni along the trajectory of the peak tops of Cr concentration is determined by the sign of second derivative of Cr and Mo or which of Cr and Ni. The effect of Ni on the peak height of Cr in Fe-Cr-Mo-Ni quaternary alloys is similar to which in Fe- Cr-Ni alloys. Numerical simulation results on the variation of peak height of Cr are qualitatively in good agreement with those obtained by the Atom-Probe-FIM.

Original languageEnglish
Pages (from-to)638-643
Number of pages6
JournalISIJ International
Volume52
Issue number4
DOIs
Publication statusPublished - 2012

Fingerprint

Spinodal decomposition
Ternary alloys
Computer simulation
Phase separation
Stainless Steel
Newton-Raphson method
Ferrite
Numerical models
Stainless steel
Trajectories
Derivatives
Atoms

Keywords

  • Cahn-Hilliard equation
  • Duplex stainless steels
  • Fe-Cr-Mo alloys
  • Fe-Cr-Mo-Ni alloys
  • Fe-Cr-Ni alloys
  • Spinodal decomposition

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Chemistry
  • Metals and Alloys

Cite this

Computer simulation of spinodal decomposition in Fe-Cr-Ni ternary alloys and Fe-Cr-Mo-Ni quaternary alloys. / Yang, Ling Ling; Saito, Yoshiyuki.

In: ISIJ International, Vol. 52, No. 4, 2012, p. 638-643.

Research output: Contribution to journalArticle

@article{628d7b4d2dd4480cbc55a0711b14aca4,
title = "Computer simulation of spinodal decomposition in Fe-Cr-Ni ternary alloys and Fe-Cr-Mo-Ni quaternary alloys",
abstract = "Numerical simulations of phase separation in Fe-Cr-Ni ternary alloys and Fe-Cr-Mo-Ni quaternary alloys similar to ferrite phases in duplex stainless steels were performed with using of the Cahn-Hilliard equations. A new numerical model based on the Gauss-Seidel and Newton-Raphson methods were utilized to obtain efficient and accurate solution. We obtained that small addition of Ni retard phase separation of Cr in Fe-Cr-Ni ternary alloys. The simulation results on behavior of Mo and Ni in Fe-Cr-Mo-Ni ternary alloys were quite similar to Mo in Fe-Cr- Mo and Ni in Fe-Cr-Ni ternary alloys. It is known that behavior of Mo or Ni along the trajectory of the peak tops of Cr concentration is determined by the sign of second derivative of Cr and Mo or which of Cr and Ni. The effect of Ni on the peak height of Cr in Fe-Cr-Mo-Ni quaternary alloys is similar to which in Fe- Cr-Ni alloys. Numerical simulation results on the variation of peak height of Cr are qualitatively in good agreement with those obtained by the Atom-Probe-FIM.",
keywords = "Cahn-Hilliard equation, Duplex stainless steels, Fe-Cr-Mo alloys, Fe-Cr-Mo-Ni alloys, Fe-Cr-Ni alloys, Spinodal decomposition",
author = "Yang, {Ling Ling} and Yoshiyuki Saito",
year = "2012",
doi = "10.2355/isijinternational.52.638",
language = "English",
volume = "52",
pages = "638--643",
journal = "ISIJ International",
issn = "0915-1559",
publisher = "Iron and Steel Institute of Japan",
number = "4",

}

TY - JOUR

T1 - Computer simulation of spinodal decomposition in Fe-Cr-Ni ternary alloys and Fe-Cr-Mo-Ni quaternary alloys

AU - Yang, Ling Ling

AU - Saito, Yoshiyuki

PY - 2012

Y1 - 2012

N2 - Numerical simulations of phase separation in Fe-Cr-Ni ternary alloys and Fe-Cr-Mo-Ni quaternary alloys similar to ferrite phases in duplex stainless steels were performed with using of the Cahn-Hilliard equations. A new numerical model based on the Gauss-Seidel and Newton-Raphson methods were utilized to obtain efficient and accurate solution. We obtained that small addition of Ni retard phase separation of Cr in Fe-Cr-Ni ternary alloys. The simulation results on behavior of Mo and Ni in Fe-Cr-Mo-Ni ternary alloys were quite similar to Mo in Fe-Cr- Mo and Ni in Fe-Cr-Ni ternary alloys. It is known that behavior of Mo or Ni along the trajectory of the peak tops of Cr concentration is determined by the sign of second derivative of Cr and Mo or which of Cr and Ni. The effect of Ni on the peak height of Cr in Fe-Cr-Mo-Ni quaternary alloys is similar to which in Fe- Cr-Ni alloys. Numerical simulation results on the variation of peak height of Cr are qualitatively in good agreement with those obtained by the Atom-Probe-FIM.

AB - Numerical simulations of phase separation in Fe-Cr-Ni ternary alloys and Fe-Cr-Mo-Ni quaternary alloys similar to ferrite phases in duplex stainless steels were performed with using of the Cahn-Hilliard equations. A new numerical model based on the Gauss-Seidel and Newton-Raphson methods were utilized to obtain efficient and accurate solution. We obtained that small addition of Ni retard phase separation of Cr in Fe-Cr-Ni ternary alloys. The simulation results on behavior of Mo and Ni in Fe-Cr-Mo-Ni ternary alloys were quite similar to Mo in Fe-Cr- Mo and Ni in Fe-Cr-Ni ternary alloys. It is known that behavior of Mo or Ni along the trajectory of the peak tops of Cr concentration is determined by the sign of second derivative of Cr and Mo or which of Cr and Ni. The effect of Ni on the peak height of Cr in Fe-Cr-Mo-Ni quaternary alloys is similar to which in Fe- Cr-Ni alloys. Numerical simulation results on the variation of peak height of Cr are qualitatively in good agreement with those obtained by the Atom-Probe-FIM.

KW - Cahn-Hilliard equation

KW - Duplex stainless steels

KW - Fe-Cr-Mo alloys

KW - Fe-Cr-Mo-Ni alloys

KW - Fe-Cr-Ni alloys

KW - Spinodal decomposition

UR - http://www.scopus.com/inward/record.url?scp=84860176493&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84860176493&partnerID=8YFLogxK

U2 - 10.2355/isijinternational.52.638

DO - 10.2355/isijinternational.52.638

M3 - Article

AN - SCOPUS:84860176493

VL - 52

SP - 638

EP - 643

JO - ISIJ International

JF - ISIJ International

SN - 0915-1559

IS - 4

ER -