Modelling study on the three-dimensional neutron depolarisation response of the evolving ferrite particle size distribution during the austenite–ferrite phase transformation in steels

References

• R. Rosman and M.T. Rekveldt , Neutron-depolarization theory in particulate media , Phys. Rev. B 43 (1991), pp. 8437–8449.10.1103/PhysRevB.43.8437
   Web of Science ®Google Scholar
• M.T. Rekveldt , N.H. van Dijk , S.V. Grigoriev , and W.G. Bouwman , Three-dimensional magnetic spin-echo small-angle neutron scattering and neutron depolarization: A comparison , Rev. Sci. Instr. 77 (2006), pp. 073902.10.1063/1.2204579
   Web of Science ®Google Scholar
• A. Kumar , Magnetic correlations at domain/cluster length scales using neutron depolarization , Proceedings of the sixth conference on neutron scattering, 21–23 Nov. 2016, Mumbai, India.
   Google Scholar
• M.T. Rekveldt and F.J. van Schaik , Static and dynamic neutron depolarization studies of ferromagnetic domain structures , J. Appl. Phys. 50 (1979), pp. 2122–2127.10.1063/1.327079
   Web of Science ®Google Scholar
• S. Mitsuda and Y. Endoh , Neutron depolarization studies on magnetization process using pulsed polarized neutrons, J. Phys. Soc. Jpn. 54 (1985), pp. 1570–1580.10.1143/JPSJ.54.1570
   Google Scholar
• I. Mirebeau , S. Itoh , S. Mitsuda , T. Watanabe , Y. Endoh , M. Hennion , and R. Papoular , Neutron depolarization in a reentrant spin-glass system: Amorphous Fe-Mn , Phys. Rev. B 41 (1990), pp. 11405–11416.10.1103/PhysRevB.41.11405
   Web of Science ®Google Scholar
• R. Rosman and M.T. Rekveldt , Neutron depolarization in particulate media: A review of theory and experimental results , J. Magn. Magn. Mater. 95 (1991), pp. 319–340.10.1016/0304-8853(91)90228-3
   Web of Science ®Google Scholar
• Ö. Çakr , M. Acet , M. Farle , and A. Wilders , Magnetic correlations in the magnetocaloric materials Mn₃GaC and Mn₃GaC_0.85N_0.15 studied by neutron polarization analysis and neutron depolarization , J. Phys. Condens. Matter. 28 (2016), p. 13LT02.
   Google Scholar
• K. Manna , D. Samal , A.K. Bera , S. Elizabeth , S.M. Yusuf , and P.S. Anil , Kumar, Correspondence between neutron depolarization and higher order magnetic susceptibility to investigate ferromagnetic clusters in phase separated systems , J. Phys. Condens. Matter 26 (2013), p. 016002.
   PubMed Web of Science ®Google Scholar
• S.G.E. te Velthuis , N.H. van Dijk , MTh Rekveldt , J. Sietsma , and S. van der Zwaag , Field-dependent neutron depolarization of the ferrite formation in medium-carbon steels , Acta Mater. 48 (2000), pp. 1105–1114.10.1016/S1359-6454(99)00414-0
   Web of Science ®Google Scholar
• S.E. Offerman , L.J.G.W. van Wilderen , N.H. van Dijk , M.Th. Rekveldt , J. Sietsma , and S. van der Zwaag , In-situ study of pearlite nucleation and growth during the isothermal austenite decomposition in nearly eutectoid steel , Acta Mater. 51 (2003), pp. 3927–3938.10.1016/S1359-6454(03)00217-9
   Web of Science ®Google Scholar
• S.G.E. te Velthuis , N.H. van Dijk , M.T. Rekveldt , J. Sietsma , and S. van der Zwaag , Domain size determination of granular ferromagnetic systems with neutron depolarization , J. Appl. Phys. 89 (2001), pp. 1275–1280.10.1063/1.1332090
   Web of Science ®Google Scholar
• R. Rosman and M.T. Rekveldt , Neutron depolarization theory in the Larmor and the scattering approach , Z. Phys. B Condens. Matter 79 (1990), pp. 61–68.10.1007/BF01387826
   Google Scholar
• H. Fang , M.G. Mecozzi , E. Brück , S. van der Zwaag , and N.H. van Dijk , Analysis of the grain size evolution for ferrite formation in Fe-C-Mn steels using a 3D model under a mixed-mode interface condition, Metall. Mat. Trans. A 49 (2018), pp. 41–53.10.1007/s11661-017-4397-y
   Google Scholar
• M. Enomoto and H.I. Aaronson , Nucleation kinetics of proeutectoid ferrite at austenite grain boundaries in Fe-C-X alloys , Metall. Mater. Trans. A 17 (1986), pp. 1385–1397.10.1007/BF02650120
   Web of Science ®Google Scholar
• W. Huang and M. Hillert , The role of grain corners in nucleation , Metall. Mater. Trans. A 27 (1996), pp. 480–483.10.1007/BF02648428
   Web of Science ®Google Scholar
• M. Militzer , R. Pandi , and E.B. Hawbolt , Ferrite nucleation and growth during continuous cooling , Metall. Mater. Trans. A 27 (1996), pp. 1547–1556.10.1007/BF02649814
   Web of Science ®Google Scholar
• E. Gamsjäger , M. Militzer , F. Fazeli , J. Svoboda , and F.D. Fischer , Interface mobility in case of the austenite-to-ferrite phase transformation , Comp. Mater. Sci. 37 (2006), pp. 94–100.10.1016/j.commatsci.2005.12.011
   Web of Science ®Google Scholar
• E. Gamsjäger , R.E. Werner , W. Schiller , and B. Buchmayr , Kinetics of the austenite-to-ferrite phase transformation – Simulations and experiments, Steel Res. Int. 85 (2014), pp. 131–142.10.1002/srin.v85.2
   Web of Science ®Google Scholar
• E. Gamsjäger , M. Wiessner , S. Schider , H. Chen , and S. van der Zwaag , Analysis of the mobility of migrating austenite-ferrite interfaces , Philos. Mag. 95 (2015), pp. 2899–2917.10.1080/14786435.2015.1082662
   Web of Science ®Google Scholar
• Y.J. Lan , D.Z. Li , and Y.Y. Li , Modeling austenite decomposition into ferrite at different cooling rate in low-carbon steel with cellular automaton method , Acta Mater. 52 (2004), pp. 1721–1729.10.1016/j.actamat.2003.12.045
   Web of Science ®Google Scholar
• M. Militzer , M.G. Mecozzi , J. Sietsma , and S. van der Zwaag , Three-dimensional phase field modelling of the austenite-to-ferrite transformation , Acta Mater. 54 (2006), pp. 3961–3972.10.1016/j.actamat.2006.04.029
   Web of Science ®Google Scholar
• E.C. Stoner and E.P. Wohlfarth , A Mechanism of magnetic hysteresis in heterogeneous alloys, Philos. Trans. R. Soc. London Ser. A 240 (1948), pp. 599–642.10.1098/rsta.1948.0007
   Web of Science ®Google Scholar
• D.C. Jiles and D.L. Atherton , Theory of ferromagnetic hysteresis , J. Magn. Magn. Mater. 61 (1986), pp. 48–60.10.1016/0304-8853(86)90066-1
   Web of Science ®Google Scholar
• J.D. Jackson , Classical electrodynamics , 3rd ed., Wiley, New York, 1999.
   Google Scholar
• B.F. Phelps , F. Liorzou , and D.L. Atherton , Inclusive model of ferromagnetic hysteresis , IEEE Trans. Magn. 38 (2002), pp. 1326–1332.10.1109/20.996018
   Web of Science ®Google Scholar
• A.S. Arrott and B. Heinrich , Application of magnetization measurements in iron to high temperature thermometry , J. Appl. Phys. 52 (1981), pp. 2113–2115.10.1063/1.329634
   Web of Science ®Google Scholar
• M.G. Mecozzi , M. Militzer , J. Sietsma , and S. van der Zwaag , The role of nucleation behavior in phase-field simulations of the austenite to ferrite transformation, Metall. Mater. Trans. A 39 (2008), pp. 1237–1247.10.1007/s11661-008-9517-2
   Google Scholar