A data-driven machine learning approach to predicting stacking faulting energy in austenitic steels
Source abstract
Abstract
Stacking fault energy (SFE) is an intrinsic material property whose value is crucial in determining different secondary deformation mechanisms in austenitic (face-centered cubic, fcc) steels. Considerable experimental and computational work suggests that the SFE itself is highly dependent—in a complex manner—on chemical composition and temperature. Over the past decades, there have been a large number of efforts focused on determining the composition dependence of SFE in austenitic steel alloys by means of experimental, theoretical or computational methods. Unfortunately, experimental methods suffer from the indirect nature of the methodologies used to estimate the value of SFE, while computational and/or theoretical approaches are either limited by the physics that they can incorporate into the predictions or have more practical limitations associated, for example, to the size of the systems that can be modeled or the assumptions that must be made. In this paper, we review the major experimental and computational approaches to determine SFE in austenitic steel alloys, and we discuss their limitations. We then demonstrate a data-driven machine learning technique to mine the literature of experimental SFE data in steels, while algorithms at the fore-front of machine learning have been used to visualize the SFE data and then construct a three-class classifier. The classifier is used then to predict likely secondary deformation mechanisms of untested compositions, while the classifier itself is presented as a valuable tool for the further development of austenitic steel alloys in which the specific secondary plastic deformation mechanisms are a feature to design for. The data as well as the entire analysis workflow are made available to the wider community through a public github repository.
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Research context
OpenAlex topics: Microstructure and Mechanical Properties of Steels · Hydrogen embrittlement and corrosion behaviors in metals · Welding Techniques and Residual Stresses
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (100+)
Show source-provided references
1. Grässel O, Krüger L, Frommeyer G, Meyer LW (2000) High strength Fe–Mn–(Al, Si) TRIP/TWIP steels development—properties—application. Int J Plast 16:1391–140910.1016/S0749-6419(00)00015-2 ↗
2. Allain S, Chateau JP, Bouaziz O, Migot S, Guelton N (2004) Correlations between the calculated stacking fault energy and the plasticity mechanisms in Fe–Mn–C alloys. Mater Sci Eng A 387–389:158–16210.1016/j.msea.2004.01.059 ↗
3. Saeed-Akbari A, Imlau J, Prahl U, Bleck W (2009) Derivation and variation in composition-dependent stacking fault energy maps based on subregular solution model in high-manganese steels. Metall Mater Trans A 40:3076–309010.1007/s11661-009-0050-8 ↗
4. Holdren JP (2011) Materials genome initiative for global competitiveness. National Science and Technology Council OSTP, Washington, DC
5. Rajan K (2015) Materials informatics: the materials “gene” and big data. Annu Rev Mater Res 45:153–16910.1146/annurev-matsci-070214-021132 ↗
6. Kalidindi SR, Graef MD (2015) Materials data science: current status and future outlook. Annu Rev Mater Res 45:171–19310.1146/annurev-matsci-070214-020844 ↗
7. Vitos L, Nilsson JO, Johansson B (2006) Alloying effects on the stacking fault energy in austenitic stainless steels from first-principles theory. Acta Mater 54:3821–382610.1016/j.actamat.2006.04.013 ↗
8. Lu S, Hu QM, Johansson B, Vitos L (2011) Stacking fault energies of Mn, Co and Nb alloyed austenitic stainless steels. Acta Mater 59:5728–573410.1016/j.actamat.2011.05.049 ↗
9. Cheng C, Needs RJ, Heine V (1988) Inter-layer interactions and the origin of SiC polytypes. J Phys C Solid State Phys 21:1049–106310.1088/0022-3719/21/6/012 ↗
10. Denteneer PJH, Haeringen WV (1987) Stacking-fault energies in semiconductors from first-principles calculations. J Phys C Solid State Phys 20:L883–L88710.1088/0022-3719/20/32/001 ↗
11. Vitos L, Korzhavyi PA, Nilsson JO, Johansson B (2008) Stacking fault energy and magnetism in austenitic stainless steels. Phys Scr 77:06570310.1088/0031-8949/77/06/065703 ↗
12. Kibey S, Liu JB, Curtis MJ, Johnson DD, Sehitoglu H (2006) Effect of nitrogen on generalized stacking fault energy and stacking fault widths in high nitrogen steels. Acta Mater 54:2991–300110.1016/j.actamat.2006.02.048 ↗
13. Dick A, Hickel T, Neugebauer J (2009) The effect of disorder on the concentration-dependence of stacking fault energies in Fe1–xMnx a first principles study. Steel Res Int 80:603–608
14. Abbasi A, Dick A, Hickel T, Neugebauer J (2011) First-principles investigation of the effect of carbon on the stacking fault energy of Fe–C alloys. Acta Mater 59:3041–304810.1016/j.actamat.2011.01.044 ↗
15. Liu J, Han P, Dong M, Fan G, Qiao G, Yang J (2012) Influence of Ni and N on generalized stacking-fault energies in Fe–Cr–Ni alloy: a first principle study. Phys B 407:891–89510.1016/j.physb.2011.12.111 ↗
16. Medvedeva NI, Park MS, Van Aken DC, Medvedeva JE (2014) First-principles study of Mn, Al and C distribution and their effect on stacking fault energies in fcc Fe. J Alloys Compd 582:475–48210.1016/j.jallcom.2013.08.089 ↗
17. Limmer KR, Medvedeva JE, Aken DCV, Medvedeva NI (2015) Ab initio simulation of alloying effect on stacking fault energy in fcc Fe. Comput Mater Sci 99:253–25510.1016/j.commatsci.2014.12.015 ↗
18. Olson GB, Cohen M (1976) A general mechanism of martensitic nucleation: part I. General concepts and the FCC/HCP transformation. Metall Trans A 7:1897–1904
19. Cotes SM, Guillermet AF, Sade M (2001) Fcc/Hcp martensitic transformation in the Fe–Mn system: part II. Driving force and thermodynamics of the nucleation process. Metall Mater Trans A 35:83–9110.1007/s11661-004-0111-y ↗
20. MullneR P, Ferreira PJ (1996) On the energy of terminated stacking faults. Philos Mag Lett 73:289–29810.1080/095008396180551 ↗
21. Mosecker L, Saeed-Akbari A (2013) Nitrogen in chromiummanganese stainless steels: a review on the evaluation of stacking fault energy by computational thermodynamics. Sci Technol Adv Mater 14:03300110.1088/1468-6996/14/3/033001 ↗
22. Yang WS, Wan CM (1990) The influence of aluminium content to the stacking fault energy in Fe–Mn–Al–C alloy system. J Mater Sci 25:1821–1823. doi: 10.1007/BF0104539210.1007/BF01045392 ↗
23. Nakano J (2013) A thermo-mechanical correlation with driving forces for hcp martensite and twin formations in the Fe–Mn–C system exhibiting multicomposition sets. Sci Technol Adv Mater 14:01420710.1088/1468-6996/14/1/014207 ↗
24. Jun JH, Choi CS (1998) Variation of stacking fault energy with austenite grain size and its effect on the MS temperature of $$\gamma $$/$$\varepsilon $$ martensitic transformation in Fe–Mn alloy. Mater Sci Eng A 257:353–35610.1016/S0921-5093(98)00994-0 ↗
25. Miodownik AP (1978) The calculation of stacking fault energies in Fe–Ni–Cr alloys. Calphad 2:207–22610.1016/0364-5916(78)90010-X ↗
26. Xiong R, Peng H, Si H, Zhang W, Wen Y (2014) Thermodynamic calculation of stacking fault energy of the Fe–Mn–Si–C high manganese steels. Mater Sci Eng A 598:376–38610.1016/j.msea.2014.01.046 ↗
27. Peng X, Zhu D, Hu Z, Yi W, Liu H, Wang M (2013) Stacking fault energy and tensile deformation behavior of high-carbon twinning-induced plasticity steels: effect of Cu addition. Mater Des 45:518–52310.1016/j.matdes.2012.09.014 ↗
28. Curtze S, Kuokkala VT (2010) Dependence of tensile deformation behavior of TWIP steels on stacking fault energy, temperature and strain rate. Acta Mater 58:5129–514110.1016/j.actamat.2010.05.049 ↗
29. Dumay A, Chateau JP, Allain S, Migot S, Bouaziz O (2008) Influence of addition elements on the stacking-fault energy and mechanical properties of an austenitic Fe–Mn–C steel. Mater Sci Eng A 483–484:184–18710.1016/j.msea.2006.12.170 ↗
30. Schramm R, Reed R (1975) Stacking fault energies of seven commercial austenitic stainless steels. Metall Trans A 6:1345–135110.1007/BF02641927 ↗
31. Rhodes CG, Thompson AW (1977) The composition dependence of stacking fault energy in austenitic stainless steels. Metall Trans A 8:1901–190610.1007/BF02646563 ↗
32. Brofman P, Ansell G (1978) On the effect of carbon on the stacking fault energy of austenitic stainless steels. Metall Mater Trans A 9:879–88010.1007/BF02649799 ↗
33. Yang S, Spruiell J (1982) Cold-worked state and annealing behaviour of austenitic stainless steel. J Mater Sci 17:677–690. doi: 10.1007/BF0054036410.1007/BF00540364 ↗
34. Li J, Zhao M, Jiang Q (2000) Alloy design of FeMnSiCrNi shape-memory alloys related to stacking-fault energy. Metall Mater Trans A 31:581–58410.1007/s11661-000-0001-x ↗
35. Tian X, Zhang Y (2009) Effect of si content on the stacking fault energy in $$\gamma $$-Fe–Mn–Si–C alloys: part i. X-ray diffraction line profile analysis. Mater Sci Eng A 516:73–7710.1016/j.msea.2009.02.031 ↗
36. Ojima M, Adachi Y, Tomota Y, Katada Y, Kaneko Y, Kuroda K, Saka H (2009) Weak beam tem study on stacking fault energy of high nitrogen steels. Steel Res Int 80:477–481
37. Lee TH, Ha HY, Hwang B, Kim SJ, Shin E (2012) Effect of carbon fraction on stacking fault energy of austenitic stainless steels. Metall Mater Trans A 43:4455–445910.1007/s11661-012-1423-y ↗
38. Jeong J, Woo W, Oh K, Kwon S, Koo Y (2012) In situ neutron diffraction study of the microstructure and tensile deformation behavior in Al-added high manganese austenitic steels. Acta Mater 60:2290–229910.1016/j.actamat.2011.12.043 ↗
39. Yonezawa T, Suzuki K, Ooki S, Hashimoto A (2013) The effect of chemical composition and heat treatment conditions on stacking fault energy for Fe–Cr–Ni austenitic stainless steel. Metall Mater Trans A 44:5884–589610.1007/s11661-013-1943-0 ↗
40. Lehnhoff G, Findley K, De Cooman B (2014) The influence of silicon and aluminum alloying on the lattice parameter and stacking fault energy of austenitic steel. Scr Mater 92:19–2210.1016/j.scriptamat.2014.07.019 ↗
41. Pierce DT, Jiménez JA, Bentley J, Raabe D, Oskay C, Wittig J (2014) The influence of manganese content on the stacking fault and austenite/$$\varepsilon $$-martensite interfacial energies in Fe–Mn-(Al–Si) steels investigated by experiment and theory. Acta Mater 68:238–25310.1016/j.actamat.2014.01.001 ↗
42. Latanision RM, AWR Jr (1969) Extrinsic–intrinsic stacking-fault pairs in an Fe–Cr–Ni alloy. J Appl Phys 40:2716–272010.1063/1.1658067 ↗
43. Vingsbo O (1967) Stacking fault tetrahedra in fatigued stainless steel. Acta Metall 15:615–62110.1016/0001-6160(67)90105-8 ↗
44. Dulieu D, Nutting J (1964) Metallurgical developments in high-alloy steels. Iron Steel Inst 86:140–145
45. Whelan MJ (1959) Dislocation interactions in face-centred cubic metals, with particular reference to stainless steel. Proc R Soc Lond A Math Phys Eng Sci 249:114–13710.1098/rspa.1959.0011 ↗
46. Brown LM (1964) The self-stress of dislocations and the shape of extended nodes. Philos Mag 10:441–46610.1080/14786436408224223 ↗
47. Brown LM, Thln AR (1964) Shape of three-fold extended nodes. Discuss Faraday Soc 38:35–4110.1039/DF9643800035 ↗
48. Siems R (1964) Shape of extended nodes. Discuss Faraday Soc 38:42–4810.1039/df9643800042 ↗
49. Jossang T, Stowell M, Hirth J, Lothe J (1965) On the determination of stacking fault energies from extended dislocation node measurements. Acta Metall 13:279–29110.1016/0001-6160(65)90205-1 ↗
50. Ruff AW (1970) Measurement of stacking fault energy from dislocation interactions. Metall Mater Trans B 1:2391–241310.1007/BF03038368 ↗
51. Pierce DT, Bentley J, Jimnez JA, Wittig JE (2012) Stacking fault energy measurements of Fe–Mn–Al–Si austenitic twinning-induced plasticity steels. Scr Mater 66:753–75610.1016/j.scriptamat.2012.01.050 ↗
52. Reed R, Schramm R (1974) Relationship between stacking-fault energy and X-ray measurements of stacking-fault probability and microstrain. J Appl Phys 45:4705–471110.1063/1.1663122 ↗
53. Schramm RE, Reed RP (1976) Stacking fault energies of fcc Fe–Ni alloys by X-ray diffraction line profile analysis. Metall Mater Trans A 7:359–36310.1007/BF02642831 ↗
54. Warren BE (1969) X-ray diffraction. Courier Corporation, North Chelmsford
55. Lee SJ, Jung YS, Baik SI, Kim YW, Kang M, Woo W, Lee YK (2014) The effect of nitrogen on the stacking fault energy in Fe–15Mn–2Cr–0.6C–xN twinning-induced plasticity steels. Scr Mater 92:23–2610.1016/j.scriptamat.2014.08.004 ↗
56. Unfried-Silgado J, Wu L, Ferreira FF, Garzón CM, Ramirez AJ (2012) Stacking fault energy measurements in solid solution strengthened Ni–Cr–Fe alloys using synchrotron radiation. Mater Sci Eng A 558:70–7510.1016/j.msea.2012.07.072 ↗
57. Tian X, Li H, Zhang Y (2008) Effect of al content on stacking fault energy in austenitic Fe–Mn–Al–C alloys. J Mater Sci 43:6214–6222. doi: 10.1007/s10853-008-2919-010.1007/s10853-008-2919-0 ↗
58. Jin JE, Lee YK (2012) Effects of al on microstructure and tensile properties of C-bearing high mn twip steel. Acta Mater 60:1680–168810.1016/j.actamat.2011.12.004 ↗
59. Moallemi M, Zarei-Hanzaki A, Mirzaei A (2015) On the stacking fault energy evaluation and deformation mechanism of Sanicro-28 super-austenitic stainless steel. J Mater Eng Perform 24:2335–234010.1007/s11665-015-1501-6 ↗
60. Jeong K, Jin JE, Jung YS, Kang S, Lee YK (2013) The effects of Si on the mechanical twinning and strain hardening of Fe–18Mn–0.6C twinning-induced plasticity steel. Acta Mater 61:3399–341010.1016/j.actamat.2013.02.031 ↗
61. Kang M, Woo W, Lee YK, Seong BS (2012) Neutron diffraction analysis of stacking fault energy in Fe–18Mn–2Al–0.6C twinning-induced plasticity steels. Mater Lett 76:93–9510.1016/j.matlet.2012.02.075 ↗
62. Lee TH, Shin E, Oh CS, Ha HY, Kim SJ (2010) Correlation between stacking fault energy and deformation microstructure in high-interstitial-alloyed austenitic steels. Acta Mater 58:3173–318610.1016/j.actamat.2010.01.056 ↗
63. Talonen J, Hänninen H (2007) Formation of shear bands and strain-induced martensite during plastic deformation of metastable austenitic stainless steels. Acta Mater 55:6108–611810.1016/j.actamat.2007.07.015 ↗
64. Barman H, Hamada A, Sahu T, Mahato B, Talonen J, Shee S, Sahu P, Porter D, Karjalainen L (2014) A stacking fault energy perspective into the uniaxial tensile deformation behavior and microstructure of a Cr–Mn austenitic steel. Metall Mater Trans A 45:1937–195210.1007/s11661-013-2175-z ↗
65. Mahato B, Shee S, Sahu T, Chowdhury SG, Sahu P, Porter D, Karjalainen L (2015) An effective stacking fault energy viewpoint on the formation of extended defects and their contribution to strain hardening in a Fe–Mn–Si–Al twinning-induced plasticity steel. Acta Mater 86:69–7910.1016/j.actamat.2014.12.015 ↗
66. Warren B, Averbach B (1950) The effect of cold-work distortion on X-ray patterns. J Appl Phys 21:595–59910.1063/1.1699713 ↗
67. Zaddach A, Niu C, Koch CC, Irving DL (2013) Mechanical properties and stacking fault energies of NiFeCrCoMn high-entropy alloy. JOM 65:1780–178910.1007/s11837-013-0771-4 ↗
68. Williamson G, Hall W (1953) X-ray line broadening from filed aluminium and wolfram. Acta Metall 1:22–3110.1016/0001-6160(53)90006-6 ↗
69. El-Danaf E, Kalidindi SR, Doherty RD (1998) Influence of grain size and stacking-fault energy on deformation twinning in fcc metals. Metall Mater Trans A 30:1223–123310.1007/s11661-999-0272-9 ↗
70. Gavriljuk V, Petrov Y, Shanina B (2006) Effect of nitrogen on the electron structure and stacking fault energy in austenitic steels. Scr Mater 55:537–54010.1016/j.scriptamat.2006.05.025 ↗
71. Swann PR (1963) Dislocation substructure vs transgranular stress corrosion susceptibility of single phase alloys. Corrosion 19:102t–114t10.5006/0010-9312-19.3.102 ↗
72. Talonen J, Hnninen H (2007) Formation of shear bands and strain-induced martensite during plastic deformation of metastable austenitic stainless steels. Acta Mater 55:6108–611810.1016/j.actamat.2007.07.015 ↗
73. Bracke L, Mertens G, Penning J (2006) Influence of phase transformations on the mechanical properties of high-strength austenitic Fe–Mn–Cr steel. Metall Mater Trans Part A 37A:307–31710.1007/s11661-006-0002-5 ↗
74. Douglass DL, Thomas G, Roser WR (1964) Ordering, stacking faults and stress corrosion cracking in austenitic alloys. Corrosion 20:15t–28t10.5006/0010-9312-20.1.15t ↗
75. Li X, Almazouzi A (2009) Deformation and microstructure of neutron irradiated stainless steels with different stacking fault energy. J Nucl Mater 385:329–33310.1016/j.jnucmat.2008.12.008 ↗
76. Murr LE (1969) Stacking-fault anomalies and the measurement of stacking-fault free energy in fcc thin films. Thin Solid Films 4:389–41210.1016/0040-6090(69)90089-3 ↗
77. Idrissi H, Renard K, Ryelandt L, Schryvers D, Jacques PJ (2010) On the mechanism of twin formation in Fe–Mn–C TWIP steels. Acta Mater 58:2464–247610.1016/j.actamat.2009.12.032 ↗
78. Kim J, Lee SJ, De Cooman BC (2011) Effect of Al on the stacking fault energy of Fe–18Mn–0.6C twinning-induced plasticity. Scr Mater 65:363–36610.1016/j.scriptamat.2011.05.014 ↗
79. Gallagher PCJ (1970) The influence of alloying, temperature, and related effects on the stacking fault energy. Metall Tran 1:2429–246110.1007/BF03038370 ↗
80. Kim J, Cooman BCD (2011) On the stacking fault energy of Fe–18 Pct Mn–0.6 Pct C–1.5 Pct Al twinning-induced plasticity steel. Metall Mater Trans A 42:932–93610.1007/s11661-011-0610-6 ↗
81. Lecroisey F, Thomas B (1970) On the variation of the intrinsic stacking fault energy with temperature in Fe–18 Cr–12 Ni alloys. Phys Status Solidi (a) 2:K217–K22010.1002/pssa.19700020429 ↗
82. Latanision RM, Ruff AW (1971) The temperature dependence of stacking fault energy in Fe–Cr–Ni alloys. Metall Trans 2:505–50910.1007/BF02663341 ↗
83. Breedis JF, Kaufman L (1971) The formation of Hcp and Bcc phases in austenitic iron alloys. Metall Mater Trans B 2:2359–237110.1007/BF02814874 ↗
84. Behjati P, Najafizadeh A (2011) Role of chemical driving force in martensitic transformations of high-purity Fe–Cr–Ni alloys. Metall Mater Trans A 42:3752–376010.1007/s11661-011-0769-x ↗
85. Lecroisey F, Pineau A (1972) Martensitic transformations induced by plastic deformation in the Fe–Ni–Cr–C system. Metall Mater Trans B 3:391–40010.1007/BF02642042 ↗
86. Abrassart F (1973) Stress-induced $$\gamma $$/$$\alpha $$, a martensitic transformation in two carbon stainless steels. Application to trip steels. Metall Mater Trans B 4:2205–221610.1007/BF02643289 ↗
87. Unfried-Silgado J, Wu L, Furlan Ferreira F, Mario Garzn C, Ramrez AJ (2012) Stacking fault energy measurements in solid solution strengthened Ni–Cr–Fe alloys using synchrotron radiation. Mater Sci Eng A 558:70–7510.1016/j.msea.2012.07.072 ↗
88. Strife JR, Carr MJ, Ansell GS (1977) The effect of austenite prestrain above the Md temperature on the martensitic transformation in Fe–Ni–Cr–C alloys. Metall Mater Trans A 8:1471–148410.1007/BF02642861 ↗
89. Remy L (1977) Temperature variation of the intrinsic stacking fault energy of a high manganese austenitic steel. Acta Metall 25:173–17910.1016/0001-6160(77)90120-1 ↗
90. Brofman PJ, Ansell GS (1978) On the effect of carbon on the stacking fault energy of austenitic stainless steels. Metall Mater Trans A 9:879–88010.1007/BF02649799 ↗
91. Pierce DT, Jimnez JA, Bentley J, Raabe D, Oskay C, Wittig JE (2014) The influence of manganese content on the stacking fault and austenite/$$\varepsilon $$-martensite interfacial energies in Fe-Mn(Al-Si) steels investigated by experiment and theory. Acta Mater 68:238–25310.1016/j.actamat.2014.01.001 ↗
92. Bampton CC, Jones IP, Loretto MH (1978) Stacking fault energy measurements in some austenitic stainless steels. Acta Metall 26:39–5110.1016/0001-6160(78)90200-6 ↗
93. Lehnhoff GR, Findley KO, De Cooman BC (2014) The influence of silicon and aluminum alloying on the lattice parameter and stacking fault energy of austenitic steel. Scr Mater 92:19–2210.1016/j.scriptamat.2014.07.019 ↗
94. Stoltz RE, Sande JBV (1980) The effect of nitrogen on stacking fault energy of Fe–Ni–Cr–Mn steels. Metall Trans A 11:1033–103710.1007/BF02654717 ↗
95. Rafaja D, Krbetschek C, Ullrich C, Martin S (2014) Stacking fault energy in austenitic steels determined by using in situ X-ray diffraction during bending. J Appl Crystallogr 47:936–94710.1107/S1600576714007109 ↗
96. Yang SW, Spruiell JE (1982) Cold-worked state and annealing behaviour of austenitic stainless steel. J Mater Sci 17:677–690. doi: 10.1007/BF0054036410.1007/BF00540364 ↗
97. Oh BW, Cho SJ, Kim YG, Kim YP, Kim WS, Hong SH (1995) Effect of aluminium on deformation mode and mechanical properties of austenitic Fe–Mn–Cr–Al–C alloys. Mater Sci Eng A 197:147–15610.1016/0921-5093(94)09751-8 ↗
98. Pontini AE, Hermida JD (1997) X-ray diffraction measurement of the stacking fault energy reduction induced by hydrogen in an AISI 304 steel. Scr Mater 37:1831–183710.1016/S1359-6462(97)00332-1 ↗
99. Hickel T, SandlÖbes S, Marceau RKW, Dick A, Bleskov I, Neugebauer J, Raabe D (2014) Impact of nanodiffusion on the stacking fault energy in high-strength steels. Acta Mater 75:147–15510.1016/j.actamat.2014.04.062 ↗
100. Gavriljuk VG, Sozinov AL, Foct J, Petrov JN, Polushkin YA (1998) Effect of nitrogen on the temperature dependence of the yield strength of austenitic steels. Acta Mater 46:1157–116310.1016/S1359-6454(97)00322-4 ↗