The effect of the concentration-dependent diffusivity of carbon in austenite on a model of reaustenitisation from ferrite/cementite mixtures in Fe-C steels

C. Atkinson; T. Akbay

doi:10.1016/1359-6454(95)00390-8

The effect of the concentration-dependent diffusivity of carbon in austenite on a model of reaustenitisation from ferrite/cementite mixtures in Fe-C steels

C. Atkinson, T. Akbay

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

Phase transformation theory applicable to reaustenitisation that takes place upon heating low-alloy steels is described. The assumption of local equilibrium is made. Diffusivity of interstitial solute in austenite is treated as concentration dependent and no diffusion is allowed in cementite and ferrite. Under these assumptions, the process is controlled by the diffusion of the interstitial solute in the growing phase. A variational dual extremum principle is used to calculate the interstitial solute concentration profile for specified interface motions. These results are compared with those obtained for a constant diffusivity equal to a weighted average of the concentration-dependent diffusivity and to a variety of simple approximations to the full problem.

Original language	English
Pages (from-to)	2861-2868
Number of pages	8
Journal	Acta Materialia
Volume	44
Issue number	7
DOIs	https://doi.org/10.1016/1359-6454(95)00390-8
Publication status	Published - Jul 1996

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Ceramics and Composites
Polymers and Plastics
Metals and Alloys

Access to Document

10.1016/1359-6454(95)00390-8

Cite this

@article{7cbb8c488e074103adabf6c1c1963004,

title = "The effect of the concentration-dependent diffusivity of carbon in austenite on a model of reaustenitisation from ferrite/cementite mixtures in Fe-C steels",

abstract = "Phase transformation theory applicable to reaustenitisation that takes place upon heating low-alloy steels is described. The assumption of local equilibrium is made. Diffusivity of interstitial solute in austenite is treated as concentration dependent and no diffusion is allowed in cementite and ferrite. Under these assumptions, the process is controlled by the diffusion of the interstitial solute in the growing phase. A variational dual extremum principle is used to calculate the interstitial solute concentration profile for specified interface motions. These results are compared with those obtained for a constant diffusivity equal to a weighted average of the concentration-dependent diffusivity and to a variety of simple approximations to the full problem.",

author = "C. Atkinson and T. Akbay",

note = "Funding Information: Acknowledgements-Taner Akbay{\textquoteright}s contribution to this work was carried out under EPSRC grant GR/J 36938 “Theory for the Reaustenitisation Kinetics in Low Alloy Steels”. The authors are grateful to Professor M. McLean for the provision of research facilities at Imperial College.",

year = "1996",

month = jul,

doi = "10.1016/1359-6454(95)00390-8",

language = "English",

volume = "44",

pages = "2861--2868",

journal = "Acta Materialia",

issn = "1359-6454",

publisher = "Elsevier Limited",

number = "7",

}

TY - JOUR

T1 - The effect of the concentration-dependent diffusivity of carbon in austenite on a model of reaustenitisation from ferrite/cementite mixtures in Fe-C steels

AU - Atkinson, C.

AU - Akbay, T.

N1 - Funding Information: Acknowledgements-Taner Akbay’s contribution to this work was carried out under EPSRC grant GR/J 36938 “Theory for the Reaustenitisation Kinetics in Low Alloy Steels”. The authors are grateful to Professor M. McLean for the provision of research facilities at Imperial College.

PY - 1996/7

Y1 - 1996/7

N2 - Phase transformation theory applicable to reaustenitisation that takes place upon heating low-alloy steels is described. The assumption of local equilibrium is made. Diffusivity of interstitial solute in austenite is treated as concentration dependent and no diffusion is allowed in cementite and ferrite. Under these assumptions, the process is controlled by the diffusion of the interstitial solute in the growing phase. A variational dual extremum principle is used to calculate the interstitial solute concentration profile for specified interface motions. These results are compared with those obtained for a constant diffusivity equal to a weighted average of the concentration-dependent diffusivity and to a variety of simple approximations to the full problem.

AB - Phase transformation theory applicable to reaustenitisation that takes place upon heating low-alloy steels is described. The assumption of local equilibrium is made. Diffusivity of interstitial solute in austenite is treated as concentration dependent and no diffusion is allowed in cementite and ferrite. Under these assumptions, the process is controlled by the diffusion of the interstitial solute in the growing phase. A variational dual extremum principle is used to calculate the interstitial solute concentration profile for specified interface motions. These results are compared with those obtained for a constant diffusivity equal to a weighted average of the concentration-dependent diffusivity and to a variety of simple approximations to the full problem.

UR - http://www.scopus.com/inward/record.url?scp=0030195333&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030195333&partnerID=8YFLogxK

U2 - 10.1016/1359-6454(95)00390-8

DO - 10.1016/1359-6454(95)00390-8

M3 - Article

AN - SCOPUS:0030195333

VL - 44

SP - 2861

EP - 2868

JO - Acta Materialia

JF - Acta Materialia

SN - 1359-6454

IS - 7

ER -

The effect of the concentration-dependent diffusivity of carbon in austenite on a model of reaustenitisation from ferrite/cementite mixtures in Fe-C steels

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this