Martensitic transition in Fe via Bain path at finite temperatures: A comprehensive first-principles study

Kang Wang, Shunli Shang, Yi Wang, Zi-kui Liu, Feng Liu

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Due to the magnetic nature of Fe, various phenomena during structural transitions in Fe-based alloys, including martensitic transition (MT), cannot be accurately interpreted even by the state-of-the-art first-principles methods based on density functional theory (DFT), which is mostly limited to zero Kelvin. In the present work, thermodynamics and kinetics of Bain transition in pure Fe, i.e. the simplest model for fcc/bcc transition, are studied by analyzing the minimum energy path (MEP) at finite temperatures. Energies of various lattices and magnetic configurations at ground state are calculated by the standard DFT methods, which are further fitted by the Birch-Murnaghan equation of state (EOS) to obtain the ground state properties. By combing the quasi-harmonic Debye-Grüneisen model with the magnetic partition function approach (PFA), the Helmholtz energies for the body-centered tetragonal lattices with fixed c/a ratio and volume (V) are calculated, where the PFA accounts for the fluctuations of the magnetic configurations. Using free energy surface in the {c/a, V} space, the MEP is searched and a correlation between driving force and energy barrier for the fcc/bcc transition is observed. Further combined with previous heterogeneous nucleation models for MT, the correlation shown in the present work is found to be ubiquitous of MTs, and thus governing the formation of martensite.

Original languageEnglish (US)
Pages (from-to)261-276
Number of pages16
JournalActa Materialia
Volume147
DOIs
StatePublished - Apr 1 2018

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Ground state
Density functional theory
Energy barriers
Equations of state
Martensite
Crystal lattices
Temperature
Free energy
Nucleation
Thermodynamics
Kinetics

All Science Journal Classification (ASJC) codes

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

Cite this

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abstract = "Due to the magnetic nature of Fe, various phenomena during structural transitions in Fe-based alloys, including martensitic transition (MT), cannot be accurately interpreted even by the state-of-the-art first-principles methods based on density functional theory (DFT), which is mostly limited to zero Kelvin. In the present work, thermodynamics and kinetics of Bain transition in pure Fe, i.e. the simplest model for fcc/bcc transition, are studied by analyzing the minimum energy path (MEP) at finite temperatures. Energies of various lattices and magnetic configurations at ground state are calculated by the standard DFT methods, which are further fitted by the Birch-Murnaghan equation of state (EOS) to obtain the ground state properties. By combing the quasi-harmonic Debye-Gr{\"u}neisen model with the magnetic partition function approach (PFA), the Helmholtz energies for the body-centered tetragonal lattices with fixed c/a ratio and volume (V) are calculated, where the PFA accounts for the fluctuations of the magnetic configurations. Using free energy surface in the {c/a, V} space, the MEP is searched and a correlation between driving force and energy barrier for the fcc/bcc transition is observed. Further combined with previous heterogeneous nucleation models for MT, the correlation shown in the present work is found to be ubiquitous of MTs, and thus governing the formation of martensite.",
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Martensitic transition in Fe via Bain path at finite temperatures : A comprehensive first-principles study. / Wang, Kang; Shang, Shunli; Wang, Yi; Liu, Zi-kui; Liu, Feng.

In: Acta Materialia, Vol. 147, 01.04.2018, p. 261-276.

Research output: Contribution to journalArticle

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