Modelling of Phase Separation in Iron-Based Ternary Alloys

In Ni-13.0at%Si-3.1at%Fe alloy, when γ/γ’ two-phase microstructure formed at 1123 K is isothermally heated at 923 K which is lower than the temperature where the initial γ/γ’ microstructure forms, the phase-separation of γ/γ’ precipitate phase occurs and γ particles newly appear in each cuboidal γ’ precipitate. While in Ni-10.2at%Al-10.8at%Fe alloy, when γ/γ’ two-phase microstructure formed at 1023 K is isothermally heated at 1123 K which is higher than the temperature where the initial γ/γ’ microstructure forms, the phase-separation of γ’ precipitate phase takes place and γ particles newly appear in each cuboidal γ’ precipitate. Such appearance of new γ particles in γ’ precipitates can be explained by the difference in the volume fraction of γ phase that should exist in the γ/γ’ two-phase system depending on the heating temperature.

Download Full-text

Numerical Simulation of Phase Separation in Fe-Cr Binary and Fe-Cr-Mo Ternary Alloys with Use of the Cahn-Hilliard Equation.

ISIJ International ◽

10.2355/isijinternational.40.914 ◽

2000 ◽

Vol 40 (9) ◽

pp. 914-919 ◽

Cited By ~ 43

Author(s):

Minoru Honjo ◽

Yoshiyuki Saito

Keyword(s):

Numerical Simulation ◽

Phase Separation ◽

Ternary Alloys ◽

Hilliard Equation ◽

Cahn Hilliard Equation

Download Full-text

Contribution to the Study of the Relation between Microstructure and Electrochemical Behavior of Iron-Based FeCoC Ternary Alloys

Journal of Analytical Methods in Chemistry ◽

10.1155/2012/798043 ◽

2012 ◽

Vol 2012 ◽

pp. 1-4 ◽

Cited By ~ 1

Author(s):

Farida Benhalla-Haddad ◽

Sif Eddine Amara ◽

Abdelkader Benchettara ◽

Kamel Taibi ◽

Rafika Kesri

Keyword(s):

Electrochemical Behavior ◽

Ternary Alloys ◽

Iron Based

Download Full-text

A study of phase separation in ternary alloys

Bulletin of Materials Science ◽

10.1007/bf02712812 ◽

2003 ◽

Vol 26 (1) ◽

pp. 193-197 ◽

Cited By ~ 18

Author(s):

Saswata Bhattacharyya ◽

T. A. Abinandanan

Keyword(s):

Phase Separation ◽

Ternary Alloys

Download Full-text

Phase separation and domain structure of iron-based ordering alloys

Phase Transitions ◽

10.1080/01411598708215444 ◽

1987 ◽

Vol 10 (4) ◽

pp. 257-276 ◽

Cited By ~ 22

Author(s):

K. Oki ◽

S. Matsumura ◽

T. Eguchi

Keyword(s):

Phase Separation ◽

Domain Structure ◽

Iron Based

Download Full-text

Analytical, semi-analytical, and numerical solutions for the Cahn–Allen equation

Advances in Difference Equations ◽

10.1186/s13662-019-2475-8 ◽

2020 ◽

Vol 2020 (1) ◽

Cited By ~ 13

Author(s):

Mostafa M. A. Khater ◽

Choonkil Park ◽

Dianchen Lu ◽

Raghda A. M. Attia

Keyword(s):

Phase Separation ◽

Numerical Solutions ◽

Adomian Decomposition Method ◽

Vital Role ◽

Ternary Alloys ◽

Suggested Model ◽

Analytical And Numerical Solutions ◽

Adomian Decomposition ◽

All Solutions ◽

Mathematica Software

AbstractThis paper studies the analytical, semi-analytical, and numerical solutions of the Cahn–Allen equation, which plays a vital role in describing the structure of the dynamics for phase separation in Fe–Cr–X ($X=Mo,Cu$X=Mo,Cu) ternary alloys. The modified Khater method, the Adomian decomposition method, and the quintic B-spline scheme are implemented on our suggested model to get distinct kinds of solutions. These solutions describe the dynamics of the phase separation in iron alloys and are also used in solidification and nucleation problems. The applications of this model arise in many various fields such as plasma physics, quantum mechanics, mathematical biology, and fluid dynamics. The comparison between the obtained solutions is represented by using figures and tables to explain the value of the error between exact and numerical solutions. All solutions are verified by using Mathematica software.

Download Full-text