ДУПЛЕКСНЫЕ СТАЛИ: СТРУКТУРА, ЭКСПЕРИМЕНТЫ, МАКРОФЕНОМЕНОЛОГИЧЕСКИЕ КОНСТИТУТИВНЫЕ МОДЕЛИ (ОБЗОР)
Сведения об авторах
- Пермский национальный исследовательский политехнический университет, Пермь, Российская Федерация
- Пермский национальный исследовательский политехнический университет, Пермь, Российская Федерация
- Пермский национальный исследовательский политехнический университет, Пермь, Российская Федерация
- Пермский национальный исследовательский политехнический университет, Пермь, Российская Федерация
Аннотация
Дуплексные нержавеющие стали являются широко востребованными материалами во многих отраслях современной промышленности благодаря сочетанию уникальных механических свойств и коррозионной стойкости, однако сложный фазовый состав и микроструктура, эволюционирующие в условиях внешнего термомеханического воздействия (в том числе в процессе эксплуатации), могут приводить к существенному изменению свойств стали. Приведен краткий обзор работ по исследованию механического поведения дуплексных сталей при различных условиях нагружения (циклическое нагружение, усталостный рост трещин, анализ коррозионной стойкости, процессы горячего и холодного деформирования). Рассмотрены методы и результаты экспериментальных исследований, а также предлагаемые в литературе на основе данных исследований макрофеноменологические определяющие соотношения (конститутивные модели), позволяющие описывать поведение рассматриваемого класса материалов при термомеханических воздействиях. На основе данных, приведенных в обзоре, можно сделать вывод о весьма сложном характере поведения рассматриваемых материалов, многообразии физических механизмов, реализующих и сопровождающих процессы деформирования при различных температурно-скоростных условиях нагружения. Необходимо также отметить существенное влияние на отклик материала сложного фазового и компонентного состава, характерного для рассматриваемого класса сталей. Указанными обстоятельствами, вероятно, обусловлено отсутствие универсальных физических уравнений, значительное количество разнообразных феноменологических определяющих соотношений и их модификаций, ориентированных на описание поведения конкретных марок сталей. В связи с этим наиболее перспективным для описания поведения дуплексных сталей представляется применение физически-ориентированных многоуровневых конститутивных моделей. Приведенные в настоящем обзоре данные могут быть использованы для определения наиболее важных физических механизмов деформирования, а также идентификации и верификации параметров данного класса моделей.
Ключевые слова
Duplex Steels: Structure, Experiments, Macrophenomenological Constitutive Models (Review)
Duplex stainless steels are widely used in many branches of modern industry due to the combination of unique mechanical properties and corrosion resistance, but the complex phase composition and microstructure evolving under external thermomechanical effects (including during operation) can lead to significant changes in the properties of steel. A brief overview of studies for duplex steels mechanical behavior under various loading conditions (cyclic loading, fatigue testing, corrosion resistance analysis, hot and cold forming processes) is given. The methods and results of experimental studies, as well as macrophenomenological constitutive relations (constitutive models) proposed in the literature based on these studies, allowing one to describe the behavior of the considered class of materials under thermomechanical effects, are considered. Based on the data presented in the review, one can conclude that the behavior of the materials under consideration is very complex, and there is a variety of physical mechanisms implementing and accompanying deformation processes under various temperature and rate loading conditions. It is also necessary to note the significant influence on the response of the material of the complex phase and component composition, characteristic of the class of steels under consideration. The above circumstances probably determine the absence of universal physical equations, a significant number of various phenomenological constitutive relations and their modifications, oriented on the description of the specific grades of steels behavior. In this regard, the most promising for description the behavior of duplex steels seems to be using the physically oriented multilevel constitutive models. The data presented in this review can be used to determine the most important physical mechanisms of deformation, as well as identifying and verifying the parameters of this class of models.
Keywords
Литература
- 1.Бондарь, В.С. Неупругость. Варианты теории / В.С. Бондарь. – М.: Физматлит, 2004. – 144 с. Scholar
- 2.Вороненко, Б.И. Современные коррозионно-стойкие аустенитно-ферритные стали (обзор) / Б.И. Вороненко // Металловедение и термическая обработка металлов. – 1997. – № 10. – С. 20–29. Scholar
- 3.Литая структура и свойства дуплексных нержавеющих сталей / А.И. Житенев, А.С. Федоров, П.В. Ковалев, Д.А. Стрекаловская, А.А. Альхименко // Известия вузов. Черная металлургия. – 2022. – Т. 65, № 5. – С. 323–332. DOI: 10.17073/0368-0797-2022-5-323-332 Scholar
- 4.Ильюшин, А.А. Пластичность. Основы общей математической теории / А.А. Ильюшин. – М.: АН СССР, 1963. – 272 с. Scholar
- 5.Ишлинский, А.Ю. Математическая теория пластичности / А.Ю. Ишлинский, Д.Д. Ивлев. – М.: Физматлит, 2003. – 704 с. Scholar
- 6.Прогнозирование перспективных составов дуплексных коррозионностойких сталей / А.А. Казаков, А.И. Житенев, А.С. Федоров, О.В. Фомина // Известия высших учебных заведений. Черная металлургия. – 2020. – Т. 63, № 3–4. – С. 254–260. DOI: 10.17073/0368-0797-2020-3-4-254-260 Scholar
- 7.Качанов, Л.М. Основы теории пластичности / Л.М. Качанов. – М.: Наука, 1969. – 420 с. Scholar
- 8.Колмогоров, А.Н. К статистической теории кристаллизации металлов / А.Н. Колмогоров // Изв. АН СССР. Сер. матем. – 1937. – Т.1, №3. – С. 355–359. Scholar
- 9.Курынцев, С.В. Анализ влияния вида сварки на фазовый состав и внутренние напряжения сварных соединений аустенитных и дуплексных сталей / С.В. Курынцев // Наукоемкие технологии в машиностроении. – 2020. – № 3. – С. 3–11. DOI: 10.30987/2223-4608-2020-3-3-11 Scholar
- 10.Петров, А.И. Влияние водорода на коррозионную стойкость дуплексной нержавеющей стали / А.И. Петров, М.В. Разуваева // Журнал технической физики. – 2023. – Т. 93, № 11. – С. 1589–1595. DOI: 10.21883/JTF.2023.11.56490.184-23 Scholar
- 11.Прохоров, А.П. Исследование структуры и свойств super duplex стали 25Cr при различном содержании никеля / А.П. Прохоров, И.М. Мальцев // Сталь. – 2023. – № 3. – С. 39–43. Scholar
- 12.Effect of the loading-rate and stress state on the constitutive modelling and fracture of 2205 Duplex stainless steel / D. Abedul, L. Galdos, E. Sáenz de Argandoña, F. Galvez, B. Erice // Int. J. Impact Engineering. – 2024. – Vol. 191. – 104991 (17 p.). DOI: 10.1016/j.ijimpeng. 2024.104991 Scholar
- 13.Acuna, A. Using kinetics to avoid sigma phase formation on hyper duplex stainless weld cladding / A. Acuna, A. Ramirez, K.C. Riffel // Science and Technology of Welding and Joining. – 2023 – Vol.28, iss.9 – P. 885–893. DOI: 10.1080/13621718.2023.2246719 Scholar
- 14.Al-Abbasi, F.M. Micromechanical modeling of ferrite-pearlite steels / F.M. Al-Abbasi // Materials Science and Engineering – 2010 – Vol. A 527 – P. 6904–6916. DOI: 10.1016/j.msea.2010.07.045. Scholar
- 15.Thermo-calc and DICTRA / J.O. Andersson, T. Helander, L. Höglund, P.F. Shi, B. Sundman // Computational tools for materials science. Calphad. – 2002. – Vol. 26, no. 2. – P. 273–312. DOI: 10.1016/S0364-5916(02)00037-8 Scholar
- 16.Fatigue crack growth behavior of friction stir processed super duplex stainless steels (SAF-2507) / E. Arafat, N. Merah, F.A. Al-Badour, I.T. Bello, J. Albinmousa // Materials Today Communications. – 2021. – Vol.26. – P. 101937. – DOI: 10.1016/j.mtcomm.2020.101937 Scholar
- 17.Avrami, M. Kinetics of phase change. I. General theory / M. Avrami // J. Chemical Physics. – 1939. – Vol. 7, no. 12. – P.1103–1112. DOI: 10.1063/1.1750380 Scholar
- 18.Influence of thermomechanical treatment on the structure, hardness and corrosion behavior of super duplex stainless steel / A. Bachiri, R. Badji, M.Z. Touhami, A. Gharbi, O. Ghelloudj, S. Remili // Materials Today: Proceedings. – 2023. – Vol. 3. – P. 418. DOI: 10.1016/j.matpr.2023.03.418 Scholar
- 19.FactSage Thermochemical Software and Databases / C.W. Bale, P. Chartrand, S.A. Degterov, G. Eriksson, K. Hack, R. Ben Mahfoud, J. Melanqon, A.D. Pelton, S. Petersen // Calphad. – 2002 – Vol. 26, no. 2 –P. 189–228. DOI: 10.1016/S0364-5916(02)00035-4 Scholar
- 20.Bill, O. Using the physically based constitutive model and processing maps to understand the hot deformation behavior of 2304 lean duplex stainless steel / O. Bill, C. Siyasiya, J. Moema // Metallurgical and Materials Transactions A. – 2022, – Vol. 53A. – P. 1267–1275. DOI: 10.1007/s11661-021-06587-w Scholar
- 21.Effect of the nanostructuring by high-pressure torsion process on the secondary phase precipitation in UNS S32750 Superduplex stainless steel / A. Biserova-Tahchieva, D. Chatterjee, A.T.J. van Helvoort, N. Llorca-Isern, J.M. Cabrera // Materials Characterization. – 2022. – Vol.183. – Art. 111639. DOI: 10.1016/j.matchar.2021.111639 Scholar
- 22.Caginalp, G. Phase-field and sharp-interface alloy model / G. Caginalp, W. Xie // Physical Review E – 1993. – Vol. 48, no. 3. – P. 1897–1909. DOI: 10.1103/PhysRevE.48.1897 Scholar
- 23.Chaboche, J.L. Time-independent constitutive theories for cyclic plasticity / J.L. Chaboche // Int. J. Plasticity. – 1986. – Vol. 2, iss. 2. – P. 149–188. DOI: 10.1016/0749-6419(86)90010-0 Scholar
- 24.Chaboche, J.L. On some modifications of kinematic hardening to improve the description of ratchetting effects / J.L. Chaboche // Int. J. Plasticity. – 1991. – Vol. 7, iss. 7. – P. 661–678. DOI: 10.1016/0749-6419(91)90050-9 Scholar
- 25.Effects of deep cold rolling on the evolution of microstructure, microtexture, and mechanical properties of 2507 duplex stainless steel / M. Chen, J. He, M. Wang, J. Li, S. Xing, K. Gui, G. Wang, Q. Liu // Mater. Sci. Eng. – 2022. – Vol. 845. – 143224. DOI: 10.1016/j.msea.2022.143224 Scholar
- 26.Research on mechanical properties of duplex stainless steel S22053 at elevated temperature and after fire / T. Chen, S. Fan, Q. Xu, K. Xu, J. Luo, Y. Tang // Thin-Walled Structures. – 2024. – Vol. 197. – 111620 (17 p.). DOI: 10.1016/j.tws.2024.111620 Scholar
- 27.Chen, L. A new two-stage constitutive model for characterizing stainless steel stress-strain curves / L. Chen, L. Yang, K. Ning // J. Constructional Steel Research. – 2025. – Vol. 228. – 109428 (13 p.). DOI: 10.1016/j.jcsr.2025.109428 Scholar
- 28.Cho, K. The law of mixtures applied to the plastic deformation of two-phase alloys of coarse microstructures / K. Cho, J. Gurland // Metallurgical Transactions A. – 1988. – Vol. 19A. – P. 2027-2040. DOI: 10.1007/BF02645206 Scholar
- 29.Contini, L.Jr. Modeling and analysis of the plastic flow curves of a duplex stainless steel using artificial intelligence / L.Jr. Contini, O. Balancin // Materials Research. – 2022. – Vol. 25. – e20220075 (11 p.). DOI: 10.1590/1980-5373-MR-2022-0075 Scholar
- 30.Cowper, G.R. Strain hardening and strain rate effects in the impact loading of cantilever beams / G.R. Cowper, P.S. Symonds. – Tech. Rep. No.28. Brown Univ., Div. Appl.Math. – 1957. – 46 p. Scholar
- 31.Fatigue damage in austenitic-ferritic duplex stainless steels / S. Degalliax, A. Sedwuki, G. Degalliax, T. Kruml, J. Polak // Fatigue Fract. Engng Mater. Struct. – 1995. – Vol. 18, no. 1. – P. 65-77. DOI: 10.1111/j.1460-2695.1995.bt00142. x Scholar
- 32.Strain rate sensitivity analysis of duplex and superduplex steels in tensile tests / V.B. De Souza, R.L. Juniora, P.F.S. Filho, H.S. da Costa Mattos // Materials Research. – 2020. – Vol. 23. – e20190482 (8 p.). DOI: 10.1590/1980-5373-MR-2019-0482 Scholar
- 33.Estrin, Y. A unified phenomenological description of work hardening and creep based on one-parameter models / Y. Estrin, H. Mecking // Acta metall. – 1984. – Vol. 32, iss. 1. – P. 57-70. DOI: 10.1016/0001-6160(84)90202-5 Scholar
- 34.Simplified constitutive model of austenitic stainless steel at high temperatures / S. Fan, X. Zheng, J. Zheng, M. Liu, D. Dong // Fire Safety Journal. – 2024. – Vol. 142. – 1040432 (17 p.). DOI: 10.1016/j.firesaf.2023.104043 Scholar
- 35.Fedorov A.S., Zhitenev A.I. Duplex stainless steels: requirements, challenges, and solutions // Metallurgist. – 2025. – Vol. 68 (8 p.). DOI: 10.1007/s11015-025-01894-8 Scholar
- 36.Hydrogen interaction in ultrafine grain duplex stainless steel 2205 aged after cold rolling / L.R. Fernandes, T.B. de Abreu, L. Claeys, T. Depover, K. Verbeken, D.B. Santos // Tecnol. Metal. Mater. Min. [Electronic resource]. – 2021. – Vol. 18. – e2349. DOI: 10.4322/2176-1523.20212349 Scholar
- 37.Ferro, P. A semiempirical model for sigma-phase precipitation in duplex and superduplex stainless steels / P. Ferro, F. Bonollo // Metall Mater Trans A. – 2012. – Vol. 43. – P. 1109-1116. DOI: 10.1007/s11661-011-0966-7 Scholar
- 38.Fukumoto, S. Simulation of microstructure formation processes in Fe-23Cr-6Ni-3Mo-0.1N alloy using Multiphase Field Method / S. Fukumoto, Y. Yoshioka, Y. Iwasaki [et al.] // Welding Letters. – 2019. – Vol. 37, no. 4. – P. 7WL-10 WL. DOI: 10.2207/qjjws.37.7WL Scholar
- 39.A constitutive model for the uniaxial tensile plastic behavior of metals based on the instantaneous strain-hardening exponent / T.B. Gonoring, M.G. de Miranda Salustre, G.A. Caetano, J.B.R. Martins, M.T. D'Azedre Orlando // J. Material Research and Technology. – 2022. – Vol. 20. – P. 2421-2443. DOI: 10.1016/j.jmrt.2022.07.189 Scholar
- 40.Gunn R.N. (Edit.). Duplex Stainless Steels, Microstructure, properties and applications. – Woodhead Publishing, 1997. – 204 p. Scholar
- 41.Flow stress behavior, constitutive modeling, processing map and microstructure evolution in hot deformation of Fe-7.1Al-0.7Mn-0.4C-0.3Nb alloy / M.A.M. Gurgel, D.N.F. Leite, L.P. Moreira, A. dos Santos Paula, E. de Souza J. Baeta, R. da Silva Teixeira, L.P. Brandao // J. Materials Research and Technology. – 2024. – Vol. 30. – P. 7145-7159. DOI: 10.1016/j.jmrt.2024.05.063 Scholar
- 42.Haghdadi, N. Physically-based constitutive modelling of hot deformation behavior in a LDX 2101 duplex stainless steel / N. Haghdadi, D. Martin, P. Hodgson // Materials and Design. – 2016. – Vol. 106. – P. 420-427. DOI: 10.1016/j.mates.2016.05.118 Scholar
- 43.Microstructure dependence of impact toughness in duplex stainless steels / N. Haghdadi, P. Cizek, P.D. Hodgson, H. Beladi // Materials Science & Engineering A. – 2019. – Vol. 745. – P. 369-378. DOI: 10.1016/j.msea.2018.12.117 Scholar
- 44.Strain partitioning in dual-phase steels containing tempered martensite / Q. Han, A. Asgari, P.D. Hodgson, N. Stanford // Materials Science and Engineering – 2014. – Vol. A611. – P. 90-99. DOI: 10.1016/j.msea.2014.05.078 Scholar
- 45.A short review on the role of alloying elements in duplex stainless steels / Y. Han, Z.-H. Liu, C.-B. Wu, Y. Zhao, G.-Q. Zu, W.-W. Zhu, X. Ran // Tungsten. – 2023. – Vol. 5. – P. 419-439. DOI: 10.1007/s42864-022-00168-z Scholar
- 46.Hill, R. A theory of the yielding and plastic flow of anisotropic materials / R. Hill // Proc. Royal Soc. London. – 1948. – Vol. A193. – P. 281-297. DOI: 10.1098/rspa.1948.0045 Scholar
- 47.Hosseini, V. Super duplex stainless steels - microstructure and properties of physically simulated base and weld metal / V. Hosseini. – PhD Thesis. – Production Technology. – 2018. – No. 24. – 128 p. Scholar
- 48.Johnson, G.R. A constitutive model and data for metals subjected to large strains / G.R. Johnson, W.H. Cook // High Strain Rates, and High Temperatures. Proceedings 7th International Symposium on Ballistics, The Hague, 19-21 April 1983. – 1983. – P. 541-547. Scholar
- 49.Johnson, W.A. Reaction kinetics in processes of nucleation and growth / W.A. Johnson, R.F. Mehl // Trans. AIME. – 1939. – Vol. 135. – P. 416-442. https://ci.nii.ac.jp/naid/10029008838 Scholar
- 50.Kahar, S.D. Duplex stainless steels - An overview / S.D. Kahar // Int. J. Engineering Research and Application. – 2017. – Vol.7, iss. 4. – P. 27-36. DOI: 10.9790/9622-0704042736 Scholar
- 51.Kerileng, K. Strain-rate effect and constitutive models for S31803 duplex stainless steel / K. Kerileng, X.D. Zhi, M. Dundo // J. Constructional Steel Research. – 2024. – Vol. 216. – 108582 (13 p.). DOI: 10.1016/j.jcsr.2024.108582 Scholar
- 52.Kim, D. Effects of the volume fraction of the secondary phase after solution annealing on electrochemical properties of Super Duplex stainless steel UNS S32750 / D. Kim, W. Chung, B.-H. Shin // Metals. – 2023. – Vol.13. – 957 (14 p.). DOI: 10.3390/met13050957 Scholar
- 53.Kim, Y.J. Determination of isothermal transformation diagrams for sigma-phase formation in cast duplex stainless steels CD3MN and CD3MWCuN / Y.J. Kim, L.S. Chumbley, B. Gleeson // Metall Mater Trans A. – 2004. – Vol. 35. – P. 3377-3386. DOI: 10.1007/s11661-004-0174-9 Scholar
- 54.Kingklang, S. Investigation of Hot Deformation Behavior of Duplex Stainless Steel Grade 2507 / S. Kingklang, V. Uthaisangsuk // Metall. Mater. Trans. A. – 2017. – Vol. 48. – P. 95-108. DOI: 10.1007/s11661-016-3829-4 Scholar
- 55.Knyazeva, M. Duplex Steels: Part I: Genesis, Formation, Structure / M. Knyazeva, M. Pohl // Metallogr. Microstruct. Anal. – 2013a. – Vol. 2. – P. 113-121. DOI: 10.1007/s13632-013-0066-8 Scholar
- 56.Knyazeva, M. Duplex Steels: Part II: Carbides and Nitrides / M. Knyazeva, M. Pohl // Metallogr. Microstruct. Anal. – 2013b. – Vol. 2. – P. 343-351. DOI: 10.1007/s13632-013-0088-2 Scholar
- 57.Kobayashi, R. Simulations of dendritic crystal growth / R. Kobayashi // Physica D – 1993. – Vol. 63. – P. 410-423. DOI: 10.1016/0167-2789(93)90120-P Scholar
- 58.Deformation characteristic and constitutive modeling of 2707 hyper duplex stainless steel under hot compression / H. Li, W. Jiao, H. Feng, X. Li, Z. Jiang, G. Li, L. Wang, G. Fan, P. Han // Metals. – 2016. – Vol. 6. – 223 (17 p.). DOI: 10.3390/met6090223 Scholar
- 59.Microstrain and boundary misorientation evolution for recrystallized super DSS after deformation / J.- S. Li, G.- J. Cheng, H.- W. Yen, Y. Yo- Lun, H.- Y. Chang, C.- Y. Wu, S.- H. Wang, J.- R. Yang // Materials Chemistry and Physics. – 2020. – Vol. 246. – P. 122815. DOI: 10.1016/j.matchemphys.2020.122815 Scholar
- 60.Ultra- strong cold- drawn 2507 stainless steel wire with heterogenous microstructure of dual- phase and grain size / Q. Li, L.C. Zhou, H. Gao, J. Wang, X. Cao, J. Ma, J. Jiang, F. Fang // Journal of Materials Research and Technology. – 2024. – Vol. 33. – P. 6876- 6889. – DOI: 10.1016/j.jmrt.2024.11.087 Scholar
- 61.Ludwigsom, D.C. Plastic behaviour of metastable austenitic stainless steel / D.C. Ludwigsom, J.A. Berger // J. Iron Steel Inst. – 1969. – Vol. 207. – P. 63- 69. Scholar
- 62.Constitutive model of duplex stainless steel S22053 and its weld under cyclic large plastic strain loading / J. Luo, S. Li, L. Mao, G. Shi // J. Constructional Steel Research. – 2023. – Vol. 205. – 107882 (13 p.). DOI: 10.1016/j.jcsr.2023.107882 Scholar
- 63.Enhancement in mechanical properties and corrosion resistance of 2507 duplex stainless steel via friction stir processing / C.Y. Ma, L. Zhou, R.X. Zhang, D.G. Li, F.Y. Shu, X.G. Song, Y.Q. Zhao // J. Materials Research and Technology. – 2020. – Vol. 9, no. 4. – P. 8296- 8305. DOI: 10.1016/j.jmrt.2020.05.057 Scholar
- 64.Phase- field modeling of sigma- phase precipitation in 25cr7ni4mo duplex stainless steel / A. Malik, J. Odqvist, L. Hoglund, S. Hertzman, J. Agren // Metallurgical and Materials Transactions A - Published online 26 July 2017. DOI: 10.1007/s11661- 017- 4214- 7 Scholar
- 65.Microstructure and texture evolution of duplex stainless steels with different molybdenum contents / P.O. Malta, F.L. Dias, A.C.M. de Souza, D.B. Santos // Materials Characterization. – 2018. – Vol. 142. – P. 406- 421. DOI: 10.1016/j.matchar.2018.06.006 Scholar
- 66.Marinelli, M. Dislocation structure developed in the austenitic- phase of SAF 2507 duplex stainless steel / M. Marinelli, S. Degallaix, I. Alvarez- Armas // Mater. Sci. Engg. A. – 2006. – Vol. 435- 436. – P. 305- 308. DOI: 10.1016/j.msea.2006.07.065 Scholar
- 67.Marinelli, M.C. Short Crack Initiation during Low- Cycle Fatigue in SAF 2507 Duplex Stainless Steel / M.C. Marinelli, S. Degallaix, I. Alvarez- Armas // Key Engineering Materials. – 2007. – Vols. 345- 346. – P. 343- 346. DOI: 10.4028/www.sciencefict.net/KEM.345- 346.343 Scholar
- 68.Phase- field method for anisotropic interfaces / G.B. McFadden, A.A. Wheller, R.J. Braun, S.R. Coriel, R.F. Sekerka // Physical Review E - 1993. - Vol.48, no. 3. - P. 2016- 2024. DOI: 10.1103/PhysRevE.48.2016 Scholar
- 69.Meszaros I., Szabo P.J. Complex magnetic and microstructural investigation of duplex stainless steel // NDT & E International. - 2005. - Vol. 38, Iss. 6. - P. 517- 521. DOI: 10.1016/j.ndtient.2004.12.007. Scholar
- 70.Mishra M.K. et al. On the high temperature deformation behaviour of 2507 super duplex stainless steel / M.K. Mishra, I. Balasundar, A.G. Rao, B.P. Kashyap, N. Prabhu // JMEPEG. - 2017. - Vol. 26. - P. 802- 812. DOI: 10.1007/s11665- 017- 2508- y Scholar
- 71.Miyamoto, H. Superplastic deformation of micro- specimens of duplex stainless steel / H. Miyamoto, T. Mimaki, S. Hashimoto // Materials Science and Engineering - 2001 - Vol. A319- 321 - P. 779- 783. DOI: 10.1016/S0921- 5093(01)01015- 2 Scholar
- 72.Momeni, A. Hot working behavior of 2205 austenite- ferrite duplex stainless steel characterized by constitutive equations and processing maps / A. Momeni, K. Dehghani // Materials Science and Engineering A. - 2011. - Vol. 528. - P. 1448- 1454. DOI: 10.1016/j.msea.2010.11.020 Scholar
- 73.Nilsson, J.- O. Super duplex stainless steels / J.- O. Nilsson // Materials Science and Technology. - 1992. - Vol. 8. - P. 685- 700. DOI: 10.1179/mst.1992.8.8.685 Scholar
- 74.Mechanical properties, microstructural stability and kinetics of \(\sigma\) - phase formation in 29Cr- 6Ni- 2Mo- 0.38N superduplex stainless steel / J.- O. Nilsson, P. Kangas, T. Karlsson, A. Wilson // Metall Mater Trans A. - 2000. - Vol. 31 - P. 35- 45. DOI: 10.1007/s11661- 000- 0050- 1 Scholar
- 75.Pan, L. Microstructural characteristics and hardness enhancement of super duplex stainless steel by friction stir processing / L. Pan, C.T. Kwok, K.H. Lo // Materials. - 2022. - Vol. 15, no. 18. - 6267 (16 p.). DOI: 10.3390/ma15186267. Scholar
- 76.Dislocation structures of duplex stainless steel in uniaxial and biaxial cyclic loading / M. Petrenec, V. Aubin, J. Polak, S. Degallaix // Materials Science Forum. - 2005. - Vol. 482. - P. 179- 182. DOI: 10.4028/www.scientific.net/MSF.482.179 Scholar
- 77.Polak, J. Dislocation substructure in fatigued duplex stainless steel / J. Polak, T. Kruml, S. Degallaix // Scripta Metallurgica et Materialia - 1993. - Vol. 29. - P. 1553- 1558. DOI: 10.1016/0956- 716X(93)90276- X Scholar
- 78.Fatigue damage in austenitic- ferritic duplex stainless steels / J. Polak, T. Kruml, S. Degallaix, J.- O. Nilsson // Microstructural influences. - 1998. - ICM8. - Vol. 1.2. - P. 47- 52. https://onlinelibrary.wiley.com/authored-by/Pol%C3%A1k/J Scholar
- 79.Rabi, M. Description of the constitutive behaviour of stainless steel reinforcement / M. Rabi, R. Shamass, K.A. Cashell // Case Studies in Construction Materials. - 2024. - Vol. 20. - e03013 (15 p.). DOI: 10.1016/j.cscm.2024.e03013 Scholar
- 80.Correlation between 2D and 3D flow curve modelling of DP steels using a microstructure- based RVE approach / A. Ramazani, K. Mukherjee, H. Quade, U. Prahl, W. Bleck // Materials Science and Engineering - 2013. - Vol. A560 - P. 129- 139. DOI: 10.1016/j.msea.2012.09.046 Scholar
- 81.Ramberg, W. Description of stress- strain curves by three parameters / W. Ramberg, W.R. Osgood // NACA Technical Notes, No. NACA- TN- 902. Washington DC, 1943. - 31 p. Scholar
- 82.Rivolta, B. The spinodal decomposition of ferrite in 2507 biphasic stainless steels: Embrittlement and possible toughness recovery / B. Rivolta, D. Panzeri // Crystals. - 2023. - Vol. 13, no. 10. - 1424 (19 p.). DOI: 10.3390/cryst13101424 Scholar
- 83.da Cunha Rocha A. Phase transformations in duplex stainless steel: An assessment by in situ X- ray diffraction (Chapter 1) / Rocha A. da Cunha, Santos A.P. da Rocha, Pereira G.R. // Stainless Steels and Alloys (Ed. Duriatgina Z). - 2019. - (14 p.). DOI: 10.5772/intechopen.81128 Scholar
- 84.Dynamic recrystallization behavior and numerical simulation of 2209 duplex stainless steel / J. Shi, M. Shuai, X. Chen, Y. Wu, Z. Chu, L. Tuo // Materials Today Communications. - 2024. - Vol. 41. - 110892 (13 p.). DOI: 10.1016/j.mtcomm.2024.110892 Scholar
- 85.Shimomura, Y. Hot deformation behavior of ferrite and austenite phases of ferritic stainless steel in the duplex temperature range / Y. Shimomura, H.- W. Park, J. Yanagimoto // Materials Science & Engineering A. - 2025. - Vol. 923. - 147698 (13 p.). DOI: 10.1016/j.msea.2024.147698 Scholar
- 86.Siegmund, T. On the thermomechanical deformation behavior of duplex- type materials / T. Siegmund, E. Werner, F.D. Fischer // J. Mech. Phys. Solids. - 1995. - Vol. 43, no. 4. - P. 495- 532. DOI: 10.1016/0022- 5096(95)00003- 2 Scholar
- 87.Sieurin, H. Sigma phase precipitation in duplex stainless steel 2205 / H. Sieurin, R. Sandström // Materials Science and Engineering A. - 2007. - Vol. 444. - P. 271- 276. DOI: 10.1016/j.msea.2006.08.107 Scholar
- 88.Experimental review and accuracy of etchants used for phase analysis of SAF2507 super duplex stainless steel / F. Sordetti, A. Palombi, A. Varone, N. Picco, M. Magnan, E. Marin, C. Maranzana, A. Lanzutti // J. Materials Research and Technology. - 2024. - Vol. 32. - P. 3842-3856. DOI: 10.1016/j.jmrt.2024.08.191 Scholar
- 89.Constitutive equations for prediction of the flow behaviour of duplex stainless steels / S. Spigarelli, M. El Mehtedi, P. Ricci, C. Mapelli // Materials Science and Engineering A. - 2010. - Vol. 527. - P. 4218-4228. DOI: 10.1016/j.msea.2010.03.029 Scholar
- 90.A phase field concept for multiphase systems / I. Steinbach, F. Pezzolla, B. Nestler, M. Seeflberg, R. Prieler. G.J. Schmitz, J.L.L. Rezende // Physica D. - 1996 - Vol. 94. - P. 135-147. DOI: 10.1016/0167-2789(95)00298-7 Scholar
- 91.Tahchieva, A.B. Duplex and superduplex stainless steels: microstructure and property evolution by surface modification processes / A.B. Tahchieva, N. Llorca-Isern, J.-M. Cabrera // Metals. - 2019. - Vol. 9. - 347 (11 p.). DOI: 10.3390/met9030347 Scholar
- 92.Thermodynamically-consistent phase-field models for solidification / S.-L. Wang, R.F. Sekerka, A.A. Wheller, B.T. Muray, S.R. Coriel, R.J. Braun, G.B. McFadden // Physica D - 1993. - Vol. 69. - P. 189-200. DOI: 10.1016/0167-2789(93)90189-8 Scholar
- 93.Warren, J.A. Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method / J.A. Warren, W.J. Boettinger // Acta Metall. Mater. - 1995. - Vol. 43, no. 2. - P. 689-703. DOI: 10.1016/0956-7151(94)00285-P Scholar
- 94.Quantification of sigma-phase evolution in thermally aged 2205 duplex stainless steel / A. D. Warren, R.L. Harniman, Z. Guo, C.M. Younes, P.E.J. Flewitt, T.B. Scott // J Mater Sci. - 2016. - Vol. 51. - P. 694-707. DOI: 10.1007/s10853-015-9131-9 Scholar
- 95.Wheller, A.A. Computation of dendrites using a phase- field model / A.A. Wheller, B.T. Murray, R.J. Schaefer // Physica D. - 1993. - Vol. 66. - P. 243-262. DOI: 10.1016/0167- 2789(93)90242-S Scholar
- 96.The hot deformation behavior in austenite-ferrite heterostructured low density Fe-Mn-Al-C steel / Z. Wu, S. Liu, N. Md Hasan, E. Li, X. An // Materials Today Communications. - 2023. - Vol. 37. - 107184 (13 p.). DOI: 10.1016/j.mtcomm.2023.107184 Scholar
- 97.Hot deformation behavior and processing map of a Cu bearing 2205 duplex stainless steel / T. Xi, L. Yin, C. Yang, K. Yang // Acta Metall. Sin. (Engl. Lett.). - 2019. - Vol. 32. - P. 1537-1548. DOI: 10.1007/s40195-019-00910-6 Scholar
- 98.Yanagawa, S. Multiscale finite element analysis of yield-point phenomenon in ferrite–pearlite duplex steels / S. Yanagawa, I. Watanabe // ISIJ Int. – 2024. – Vol. 64, no. 5. – P. 874–880. DOI: 10.2355/isijinternatonal.ISIJINT-2023-470 Scholar
- 99.Nanostructure, mechanical properties, and corrosion resistance of super duplex stainless steel 2507 aged at 500 °C / Y. Yuan, S. Yuan, Y. Wang, Q. Li, Z. Deng, Y. Xie, Y. Ke, J. Xu, H. Yu, D. Sun, X. Xu // Crystals. – 2023. – Vol. 13. – 243 (12 p.). DOI: 3390/cryst13020243 Scholar
- 100.Synergistic effect of dislocation and elemental clustering on spinodal decomposition in super duplex stainless steel / Y. Yuan, Y. Xie, Z. Hou, Q. Jin, Y. Ke, Z. Dong, H. Yu, D. Sun, X. Xu // Mater. Charact. – 2025. – Vol. 221. – 114719. DOI: 10.1016/j.matchar.2025.114719 Scholar
- 101.Constitutive model of trip-type duplex stainless steel under symmetrical strain cyclic loading considering the effect of martensitic transformation / D. Zhai, Z. Zou, M. Jin, Z. Cui, T. Wang // Metallurgical and Materials Transactions A. – 2025. – Vol. 56A. – P. 587–599. DOI: 10.1007/s11661-024-07666-4 Scholar
- 102.Temperature evolution, phase ratio and corrosion resistance of duplex stainless steels treated by laser surface heat treatment / D. Zhang, P. Wen, B.Z. Yin, A.B. Liu // J. Manufacturing Processes. – 2021. – Vol. 62. – P. 99–107. DOI: 10.1016/j.jmapro.2020.12.040 Scholar
- 103.Edge cracking prevention in 2507 super duplex stainless steel by twin-roll strip casting and its microstructure and properties / Y. Zhao, Y. Wang, S. Tang, W. Zhang, Z. Liu // J. Mater. Process. Technol. – 2019. – Vol. 266. – P. 246–254. DOI: 10.1016/j.jmatprotec.2018.11.010 Scholar
- 104.Hot-deformation-induced structural and mechanical properties of Ce-modified SAF 2507 super duplex stainless steel / T. Zhou, Y. Xiong, X. Zha, Y. Yue, Y. Lu, T. He, F. Ren, E. Rani, H. Singh, J. Kōmi, M. Huttula, W. Cao // J. Mater. Res. Technol. – 2020. – Vol. 9. – P. 8379–8390. DOI: 10.1016/j.jmrt.2020.05.123 Scholar
- 105.Cast structure and properties of duplex stainless steels / A.I. Zhitenev, A.S. Fedorov, P.V. Kovalev, D.A. Strekalovskaya, A.A. Al’khimenko // Steel. – 2022. – Vol. 52, no. 5. – P. 479–486. DOI: 10.3103/S0967091222050126 Scholar
- 106.Influence of deformation temperature and strain rate on martensitic transformation of duplex stainless steel and its corresponding kinetic model / Q. Zhu, F. Gao, Z. Gao, W. Zhang, S. Tang, X. Cai, Z. Liu // Metals. – 2025. – Vol. 15. – 581 (25 p.). DOI: 10.3390/met15060581 Scholar
- 1.Bondar' V.S. Neuprugost'. Varianty teorii [Inelasticity. Theory variants]. Moscow, FIZMATLIT, 2004, 144 p. Scholar
- 2.Voronenko B. I. Sovremennyye korrozionno-stoykiye austenitno-ferritnyye stali (obzor) [Modern corrosion-resistant austenitic-ferritic steels (review)]. Metallovedeniya i termicheskaya obrabotka, 1997, no. 10, pp. 20-29. Scholar
- 3.Zhitenev A.I., Fedorov A.S., Kovalev P.V., Strekalovskaya D.A., Al'khimenko A.A. Litaya struktura i svoystva dupleksnykh nerzhaveyushchikh staley [Cast structure and properties of duplex stainless steels]. Izvestiya vuzov. Chernaya metallurgiya, 2022, vol. 65, no. 5, pp. 323-332. DOI: 10.17073/0368-0797-2022-5-323-332 Scholar
- 4.Il'yushin A.A. Plasticnost'. Osnovy obshchey matematicheskoy teorii [Plasticity. Fundamentals of the general mathematical theory]. Moscow, AN SSSR, 1963, 272 p. Scholar
- 5.Ishlinsky A.Yu., Ivlev D.D. Matematicheskaya teoriya plastichnosti [Mathematical theory of plasticity]. Moscow, Fizmatlit, 2003, 704 p. Scholar
- 6.Kazakov A.A., Zhitenev A.I., Fedorov A.S., Fomina O.V. Prognozirovaniye perspektivnykh sostavov dupleksnykh korrozionnostoykikh staley [Prediction of perspective compositions of duplex corrosion-resistant steels]. Izvestiya vysshikh uchebnykh zavedeniy. Chernaya metallurgiya, 2020, vol. 63, no. 3-4, pp. 254-260. DOI: 10.17073/0368-0797-2020-3-4-254-260 Scholar
- 7.Kachanov L.M. Osnovy teorii plastichnosti [Fundamentals of plasticity theory]. Moscow, Nauka, 1969, 420 p. Scholar
- 8.Kolmogorov A.N. K statisticheskoy teorii kristallizatsii metallov [On the statistical theory of crystallization of metals]. Izv. AN SSSR. Ser. matem., 1937, vol.1, no.3, pp. 355-359. Scholar
- 9.Kuryntsev S.V. Analiz vliyaniya vida svarki na fazovyy sostav i vnutrenniye napryazheniya svarnykh soyedineniy austenitnykh i dupleksnykh staley [Analysis of the influence of welding type on phase composition and internal stresses of welded joints of austenitic and duplex steels]. Naukoemkiye tekhnologii v mashinostroyenii, 2020, no. 3, pp. 3-11. DOI: 10.30987/2223-4608-2020-3-3-11 Scholar
- 10.Petrov A.I., Razuvaeva M.V. Vliyaniye vodoroda na korrozionnuyu stoykost' dupleksnoy nerzhaveyushchey stali [Effect of hydrogen on corrosion resistance of duplex stainless steel]. Zhurnal tekhnicheskoy fiziki, 2023, vol. 93, no. 11, pp. 1589-1595. DOI: 10.21883/JTF.2023.11.56490.184-23 Scholar
- 11.Prokhorov A.P., Mal'tsev I.M. Issledovaniye struktury i svoystv super duplex stali 25Cr pri razlichnom soderzhanii nikelya [Study of the structure and properties of super duplex steel 25Cr with different nickel content]. Stal', 2023, no. 3, pp. 39-43. Scholar
- 12.Abedul D., Galdos L., Saenz de Argandoña E., Galvez F., Erice B. Effect of the loading-rate and stress state on the constitutive modelling and fracture of 2205 Duplex stainless steel. Int. J. Impact Engineering, 2024, vol. 191, pp. 104991 (17 p.). DOI: 10.1016/j.ijimpeng.2024.104991 Scholar
- 13.Acuna A., Ramirez A., Riffel K.C. Using kinetics to avoid sigma phase formation on hyper duplex stainless weld cladding. Science and Technology of Welding and Joining, 2023, vol. 28, iss. 9, pp. 885-893. DOI: 10.1080/13621718.2023.2246719 Scholar
- 14.Al-Abbasi F.M. Micromechanical modeling of ferritepearlite steels. Materials Science and Engineering: A, 2010, vol. 527, pp. 6904-6916. DOI: 10.1016/j.msea.2010.07.045. Scholar
- 15.Andersson J.O., Helander T., Hoglund L., Shi P.F., Sundman B. Thermo-calc and DICTRA, computational tools for materials science. Calphad, 2002, vol. 26, no. 2, pp. 273-312. DOI: 10.1016/S0364-5916(02)00037-8 Scholar
- 16.Arafat E., Merah N., A. Al-Badour F. et al. Fatigue crack growth behavior of friction stir processed super duplex stainless steels (SAF-2507). Materials Today Communications, 2021, vol. 26, pp. 101937. DOI: 10.1016/j.mtcomm.2020.101937 Scholar
- 17.Avrami M. Kinetics of phase change. I. General theory. J. Chemical Physics, 1939, vol. 7, no. 12, pp. 1103-1112. DOI: 10.1063/1.1750380. Scholar
- 18.Bachiri A., Badji R., Touhami M.Z., Gharbi A., Ghelloud O., Remili S. Influence of thermomechanical treatment on the structure, hardness and corrosion behavior of super duplex stainless steel. Materials Today: Proceedings, 2023, vol. 3, pp. 418. DOI: 10.1016/j.matpr.2023.03.418 Scholar
- 19.Bale C.W., Chartrand P., Degterov S.A., Eriksson G., Hack K., Ben Mahfoud R., Melanqon J., Pelton A.D., Petersen S. FactSage Thermochemical Software and Databases. Calphad, 2002, vol. 26, no. 2, pp. 189-228. Scholar
- 20.Bill O., Siyasiya C., Moema J. Using the physically based constitutive model and processing maps to understand the hot deformation behavior of 2304 lean duplex stainless steel. Metallurgical and Materials Transactions A, 2022, vol. 53A, pp. 1267-1275. DOI: 10.1007/s11661-021-06587-w Scholar
- 21.Biserova-Tahchieva A., Chatterjee D., van Helvoort A.T.J., Llorca-Isern N., Cabrera J.M. Effect of the nanostructuring by high-pressure torsion process on the secondary phase precipitation in UNS S32750 Superduplex stainless steel. Materials Characterization, 2022, vol. 183, art. 111639. DOI: 10.1016/j.matchar.2021.111639 Scholar
- 22.Caginalp G., Xie W. Phase-field and sharp-interface alloy model. Physical Review E, 1993, vol. 48, no. 3, pp. 1897-1909. DOI: https://doi.org/10.1103/PhysRevE.48.1897 Scholar
- 23.Chaboche J.L. Time-independent constitutive theories for cyclic plasticity. Int. J. Plasticity, 1986, vol. 2, iss. 2, pp. 149-188. DOI: 10.1016/0749-6419(86)90010-0 Scholar
- 24.Chaboche J.L. On some modifications of kinematic hardening to improve the description of ratcheting effects. Int. J. Plasticity, 1991, vol. 7, iss. 7, pp. 661-678. DOI: 10.1016/0749-6419(91)90050-9 Scholar
- 25.Chen M., He J., Wang M., Li J., Xing S., Gui K., Wang G., Liu Q. Effects of deep cold rolling on the evolution of microstructure, microtexture, and mechanical properties of 2507 duplex stainless steel. Mater. Sci. Eng., 2022, vol. 845, pp. 143224. DOI: 10.1016/j.msea.2022.143224 Scholar
- 26.Chen T., Fan S., Xu Q., Xu K., Luo J., Tang Y. Research on mechanical properties of duplex stainless steel S22053 at elevated temperature and after fire. Thin-Walled Structures, 2024, vol. 197, pp. 111620 (17 p.). DOI: 10.1016/j.tws.2024.111620 Scholar
- 27.Chen L., Yang L., Ning K. A new two-stage constitutive model for characterizing stainless steel stress-strain curves. Constructional Steel Research, 2025, vol. 228, pp. 109428 (13 p.). DOI: 10.1016/j.jcsr.2025.109428 Scholar
- 28.Cho K., Gurland J. The law of mixtures applied to the plastic deformation of two-phase alloys of coarse microstructures. Metallurgical Transactions A, 1988, vol. 19A, pp. 2027-2040. DOI: 10.1007/BF02645206 Scholar
- 29.Contini L.Jr., Balancin O. Modeling and analysis of the plastic flow curves of a duplex stainless steel using artificial intelligence. Materials Research, 2022, vol. 25, pp. 20220075 (11 p.). DOI: 10.1590/1980-5373-MR-2022-0075. Scholar
- 30.Cowper G.R., Symonds P.S. Strain hardening and strain rate effects in the impact loading of cantilever beams. Tech. Rep. no. 28. Brown Univ., Div. Appl.Math, 1957, p. 46. Scholar
- 31.Degallais S., A. Sedwuki A., Degallais G., Kruml T., Polak J. Fatigue damage in austenitic-ferritic duplex stainless steels. Fatigue Fract. Engng Mater. Struct, 1995, vol. 18, no. 1, pp. 65-77. DOI: 10.1111/j.1460-2695.1995. tb00142. x Scholar
- 32.De Souza V.B., Juniora R.L., Filho P.F.S., Mattos H.S. da Cost. Strain rate sensitivity analysis of duplex and superduplex steels in tensile tests. Materials Research, 2020, vol. 23, pp. e20190482 (8 p.). DOI: 10.1590/1980-5373-MR-2019-0482 Scholar
- 33.Estrin Y., Mecking H. A unified phenomenological description of work hardening and creep based on one-parameter models. Acta metall, 1984, vol. 32, iss. 1, pp. 57-70. DOI: 10.1016/0001-6160(84)90202-5 Scholar
- 34.Fan S., Zheng X., Zheng J., Liu M., Dong D. Simplified constitutive model of austenitic stainless steel at high temperatures. Fire Safety Journal, 2024, vol. 142, pp. 1040432 (17 p.). DOI: 10.1016/j.fireaf.2023.104043 Scholar
- 35.Fedorov A.S., Zhitenev A.I. Duplex stainless steels: requirements, challenges, and solutions. Metallurgist, 2025, vol. 68, pp. 1809-1818. DOI: 10.1007/s11015-025-01894-8 Scholar
- 36.Fernandes L. R., de Abreu T. B., Claeys L., Depover T., Verbeken K., Santos D.B. Hydrogen interaction in ultrafine grain duplex stainless steel 2205 aged after cold rolling. Tecnol. Metal. Mater. Min., 2021, vol. 18, pp. e2349. DOI: 10.4322/2176-1523.20212349 Scholar
- 37.Ferro P., Bonollo F. A semiempirical model for sigma- phase precipitation in duplex and superduplex stainless steels. Metall Mater Trans A, 2012, vol. 43, pp. 1109-1116. DOI: 10.1007/s11661-011-0966-7 Scholar
- 38.Fukumoto S., Yoshioka Y. Iwasaki Y. Simulation of microstructure formation processes in Fe-23Cr-6Ni-3Mo-0.1N alloy using Multiphase Field Method. Welding Letters, 2019, vol. 37, no. 4, pp. 7WL-10 WL. DOI: 10.2207/qijws.37.7WL Scholar
- 39.Gonoring T.B., Salustre M. G. de Miranda, Caetano G.A., Martins J.B.R., Orlando M.T. D'Azeredo. A constitutive model for the uniaxial tensile plastic behavior of metals based on the instantaneous strain-hardening exponent. J. Material Research and Technology, 2022, vol. 20, pp. 2421-2443. DOI: 10.1016/j.jmrt.2022.07.189 Scholar
- 40.Gunn R.N. Duplex Stainless Steels, Microstructure, properties and applications. Woodhead Publishing, 1997, 204 p. Scholar
- 41.Gurgel M.A.M., Leite D.N.F., Moreira L.P., Paula A. dos Santos, Baeta E. de Souza J.C., Teixeira R. da Silva, Brandao L.P. Flow stress behavior, constitutive modeling, processing map and microstructure evolution in hot deformation of Fe-7.1Al-0.7Mn-0.4C-0.3Nb alloy. J. Materials Research and Technology, 2024, vol. 30, pp. 7145-7159. DOI: 10.1016/j.jmrt.2024.05.063 Scholar
- 42.Haghdadi N., Martin D., Hodgson P. Physically-based constitutive modelling of hot deformation behavior in a LDX 2101 duplex stainless steel. Materials and Design, 2016, vol. 106, pp. 420-427. DOI: 10.1016/j.matdes.2016.05.118 Scholar
- 43.Haghdadi N., Cizek P., Hodgson P.D., Beladi H. Microstructure dependence of impact toughness in duplex stainless steels. Materials Science & Engineering A, 2019, vol. 745, pp. 369-378. DOI: 10.1016/j.msea.2018.12.117 Scholar
- 44.Han Q., Asgari A., Hodgson P.D., Stanford N. Strain partitioning in dual-phase steels containing tempered martensite. Materials Science and Engineering: A, 2014, vol. A611, pp. 90-99. DOI: 10.1016/j.msea.2014.05.078 Scholar
- 45.Han Y., Liu Z.-H., Wu C.-B., Zhao Y., Zu G.-Q., Zhu W.-W., Ran X. A short review on the role of alloying elements in duplex stainless steels. Tungsten, 2023, vol. 5, pp. 419-439. DOI: 10.1007/s42864-022-00168-z Scholar
- 46.Hill R. A theory of the yielding and plastic flow of anisotropic materials. Proc. Royal Soc. London, 1948, vol. A193, pp. 281-297. DOI: 10.1098/rspa.1948.0045 Scholar
- 47.Hosseini V. Super duplex stainless steels - microstructure and properties of physically simulated base and weld metal. PhD Thesis. Production Technology, 2018, no. 24, 128 p. Scholar
- 48.Johnson G.R., Cook W.H. A constitutive model and data for metals subjected to large strains. High Strain Rates, and High Temperatures. Proceedings 7th International Symposium on Ballistics, The Hague, 19-21 April 1983, 1983, pp. 541-547. Scholar
- 49.Johnson W.A., Mehl R.F. Reaction kinetics in processes of nucleation and growth. Trans. AIME, 1939, vol. 135, pp. 416-442. https://ci.nii.ac.jp/naid/10029008838. Scholar
- 50.Kahar S.D. Duplex stainless steels - An overview. Int. J. Engineering Research and Application, 2017, vol. 7, iss. 4, pp. 27-36. DOI: 10.9790/9622-0704042736 Scholar
- 51.Kerileng K., Zhi X.D., Dundu M. Strain-rate effect and constitutive models for S31803 duplex stainless steel. J. Constructional Steel Research, 2024, vol. 216, pp. 108582 (13 p.). DOI: 10.1016/j.jcsr.2024.108582 Scholar
- 52.Kim D., Chung W., Shin B.-H. Effects of the volume fraction of the secondary phase after solution annealing on electrochemical properties of Super Duplex stainless steel UNS S32750. Metals, 2023, vol. 13, 957 (14 p.). DOI: 10.3390/met13050957 Scholar
- 53.Kim Y.J., Chumbley L.S., Gleeson B. Determination of isothermal transformation diagrams for sigma-phase formation in cast duplex stainless steels CD3MN and CD3MWCuN. Metall Mater Trans A, 2004, vol. 35, pp. 3377-3386. DOI: 10.1007/s11661-004-0174-9. Scholar
- 54.Kingklang S., Uthaisangsuk V. Investigation of Hot Deformation Behavior of Duplex Stainless Steel Grade 2507. Metall. Mater. Trans. A, 2017, vol. 48, pp. 95-108. DOI: 10.1007/s11661-016-3829-4 Scholar
- 55.Knyazeva M., Pohl M. Duplex Steels: Part I: Genesis, Formation, Structure. Metallogr. Microstruct. Anal, 2013a, vol. 2, pp. 113-121. DOI: 10.1007/s13632-013-0066-8 Scholar
- 56.Knyazeva M., Pohl M. Duplex Steels: Part II: Carbides and Nitrides. Metallogr. Microstruct. Anal, 2013b, vol. 2, pp. 343-351. DOI: 10.1007/s13632-013-0088-2 Scholar
- 57.Kobayashi R. Simulations of dendritic crystal growth. Physica D, 1993, vol. 63, pp. 410-423. DOI: 10.1016/0167-2789(93)90120-P Scholar
- 58.Li H., Jiao W., Feng H., Li X., Jiang Z., Li G., Wang L., Fan G., Han P. Deformation characteristic and constitutive modeling of 2707 hyper duplex stainless steel under hot compression. Metals, 2016, vol. 6, pp. 223 (17 p.). DOI: 10.3390/met6090223. Scholar
- 59.Li J.-S., Cheng G.-J., Yen H.-W., Yo-Lun Y., Chang H.-Y., Wu C.-Y., Wang S.-H., Yang J.-R. Microstrain and boundary misorientation evolution for recrystallized super DSS after deformation. Materials Chemistry and Physics, 2020, vol. 246, pp. 122815. DOI: 10.1016/j.matchemphys.2020.122815 Scholar
- 60.Li Q., Zhou L.C., Gao H., Wang J., Cao X., Ma J., Jiang J., Fang F. Ultra-strong cold-drawn 2507 stainless steel wire with heterogeneous microstructure of dual-phase and grain size. Journal of Materials Research and Technology, 2024, vol. 33, pp. 6876-6889. DOI: 10.1016/j.jmrt.2024.11.087 Scholar
- 61.Ludwigsdon D.C., Berger J.A. Plastic behaviour of metastable austenitic stainless steel. J. Iron Steel Inst., 1969, vol. 207, pp. 63-69. Scholar
- 62.Luo J., Li S., Mao L., Shi G. Constitutive model of duplex stainless steel S22053 and its weld under cyclic large plastic strain loading. J. Constructional Steel Research, 2023, vol. 205, pp. 107882 (13 p.). DOI: 10.1016/j.jcsr.2023.107882 Scholar
- 63.Ma C.Y., Zhou L., Zhang R.X., Li D.G., Shu F.Y., Song X.G., Zhao Y.Q. Enhancement in mechanical properties and corrosion resistance of 2507 duplex stainless steel via friction stir processing. J. Materials Research and Technology, 2020, vol. 9, no. 4, pp. 8296-8305. DOI: 10.1016/j.jmrt.2020.05.057 Scholar
- 64.Malik A. Odqvist J., Höglund L., Hertzman S., Ågren. J. Phase-field modeling of sigma-phase precipitation in 25cr7ni4mo duplex stainless steel. Metallurgical And Materials Transactions A, Published online 26 July 2017. DOI: 10.1007/s11661-017-4214-7 Scholar
- 65.Malta P.O., Dias F.L., de Souza A.C.M., Santos D.B. Microstructure and texture evolution of duplex stainless steels with different molybdenum contents. Materials Characterization, 2018, vol. 142, pp. 406-421. DOI: 10.1016/j.matchar.2018.06.006 Scholar
- 66.M. Marinelli, S. Degallaix, I. Alvarez-Armas. Dislocation structure developed in the austenitic-phase of SAF 2507 duplex stainless steel. Mater. Sci. Engg. A, 2006, vol. 435-436, pp. 305-308. DOI: 10.1016/j.msea.2006.07.065 Scholar
- 67.M.C. Marinelli, S. Degallaix, I. Alvarez-Armas. Short Crack Initiation during Low-Cycle Fatigue in SAF 2507 Duplex Stainless Steel. Key Engineering Materials, 2007, vols. 345-346. - P. 343-346. - DOI: 10.4028/www.scientific.net/KEM.345-346.343 Scholar
- 68.McFadden G.B. et al. Phase-field method for anisotropic interfaces. Physical Review E, 1993, vol. 48, no. 3, pp. 2016-2024. DOI: 10.1103/PhysRevE.48.2016. Scholar
- 69.Mészáros I., Szabó P.J. Complex magnetic and microstructural investigation of duplex stainless steel. NDT & E International, 2005, vol. 38, iss. 6, pp. 517-521. DOI: 10.1016/j.ndtient.2004.12.007 Scholar
- 70.Mishra M.K., Balasundar I., Rao A.G., Kashyap B.P., Prabhu N. On the high temperature deformation behaviour of 2507 super duplex stainless steel. JMEPEG, 2017, vol. 26, pp. 802-812. DOI: 10.1007/s11665-017-2508-y Scholar
- 71.Miyamoto H., Mimaki T., Hashimoto S. Superplastic deformation of micro-specimens of duplex stainless steel. Materials Science and Engineering, 2001, vol. A319-321, pp. 779-783. DOI: 10.1016/S0921-5093(01)01015-2 Scholar
- 72.Momeni A., Dehghani K. Hot working behavior of 2205 austenite-ferrite duplex stainless steel characterized by constitutive equations and processing maps. Materials Science and Engineering A, 2011, vol. 528, pp. 1448-1454. DOI: 10.1016/j.msea.2010.11.020 Scholar
- 73.Nilsson J.-O. Super duplex stainless steels. Materials Science and Technology, 1992, vol. 8, pp. 685-700. DOI: 10.1179/mst.1992.8.8.685 Scholar
- 74.Nilsson, J.-O., Kangas, P., Karlsson T., Wilson, A. Mechanical properties, microstructural stability and kinetics of σ-phase formation in 29Cr-6Ni-2Mo-0.38N superduplex stainless steel. Metall Mater Trans A, 2000, vol. 31, pp. 35-45. DOI: 10.1007/s11661-000-0050-1 Scholar
- 75.Pan L., Kwok C.T., Lo K.H. Microstructural characteristics and hardness enhancement of super duplex stainless steel by friction stir processing. Materials, 2022, vol. 15, no. 18, pp. 6267 (16 p.). DOI: 10.3390/mal1586267 Scholar
- 76.Petrenec M., Aubin V., Polák J., Degallaix S. Dislocation structures of duplex stainless steel in uniaxial and biaxial cyclic loading. Materials Science Forum, 2005, vol. 482, pp. 179-182. DOI: 10.4028/www.scientific.net/MSF.482.179 Scholar
- 77.Polák J., Kruml T., Degallaix S. Dislocation substructure in fatigued duplex stainless steel. Scripta Metallurgica et Materialia, 1993, vol. 29, pp. 1553-1558. Scholar
- 78.Polák J., Kruml T., Degallaix S., Nilsson J.-O. Fatigue damage in austenitic-ferritic duplex stainless steels. Microstructural influences, 1998, ICM8, vol.1.2, pp. 47-52. https://onlinelibrary.wiley.com/authored-by/Pol%C3%A1k/J. Scholar
- 79.Rabi M., Shamas R., Cashell K.A. Description of the constitutive behaviour of stainless steel reinforcement. Case Studies in Construction Materials, 2024, vol.20, pp. e03013 (15 p.). DOI: 10.1016/j.csem.2024.e03013 Scholar
- 80.Ramazani A., Mukherjee K., Quade H., Prahl U., BleckW. Correlation between 2D and 3D flow curve modelling of DP steels using a microstructure-based RVE approach. Materials Science and Engineering, 2013, vol. A560, pp. 129-139. DOI: 10.1016/j.msea.2012.09.046 Scholar
- 81.Ramberg W., Osgood W.R. Description of stress-strain curves by three parameters. NACA Technical Notes, no. NACATN-902. Washington DC, 1943, 31 p. Scholar
- 82.Rivolta B., Panzeri D. The Spinodal Decomposition of Ferrite in 2507 Biphasic Stainless Steels: Embrittlement and Possible Toughness Recovery. Crystals, 2023, vol. 13, no.10, pp. 1424 (19 p.). DOI: 10.3390/cryst13101424 Scholar
- 83.Rocha A. da Cunha, Santos A.P. da Rocha, Pereira G.R. Phase transformations in duplex stainless steel: An assessment by in situ X-ray diffraction (Chapter 1). In: Stainless Steels and Alloys (Ed. Duriagana Z), 2019, (14 p.). DOI: 10.5772/intechopen.81128. Scholar
- 84.Shi J., Shuai M., Chen X., Wu Y., Chu Z., Tuo L. Dynamic recrystallization behavior and numerical simulation of 2209 duplex stainless steel. Materials Today Communications, 2024, vol.41, pp. 110892 (13 p.). DOI: 10.1016/j.mtcomm.2024.110892 Scholar
- 85.Shimomura Y., Park H.-W., Yanagimoto J. Hot deformation behavior of ferrite and austenite phases of ferritic stainless steel in the duplex temperature range. Materials Science & Engineering A, 2025, vol. 923, pp. 147698 (13 p.). DOI: 10.1016/j.msea.2024.147698 Scholar
- 86.Siegmund T., Werner E., Fischer F.D. On the thermomechanical deformation behavior of duplex-type materials. J. Mech. Phys. Solids, 1995, vol.43, n o.4, pp. 495-532. DOI: 10.1016/0022-5096(95)00003-2 Scholar
- 87.Sieurin H., Sandstrom R. Sigma phase precipitation in duplex stainless steel 2205. Materials Science and Engineering A, 2007, vol. 444, pp. 271-276. DOI: 10.1016/j.msea.2006.08.107 Scholar
- 88.Sordetti F., Palombi A., Varone A., Picco N., Magnan M., Marin E., Maranzana C., Lanzutti A. Experimental review and accuracy of etchants used for phase analysis of SAF2507 super duplex stainless steel. J. Materials Research and Technology, 2024, vol. 32, pp. 3842-3856. DOI: 10.1016/j.jmrt.2024.08.191 Scholar
- 89.Spigarelli S., El Mehtedi M., Ricci P., Mapelli C. Constitutive equations for prediction of the flow behaviour of duplex stainless steels. Materials Science and Engineering A, 2010, vol. 527, pp. 4218-4228. DOI: 10.1016/j.msea.2010.03.029 Scholar
- 90.Steinbach I., Pezzolla F., Nestler B., Seefelberg M., Prieler R., Schmitz G.J., Rezende J.L.L. A phase field concept for multiphase systems. Physica D, 1996, vol. 94, pp. 135-147. DOI: 10.1016/0167-2789(95)00298-7 Scholar
- 91.Tahchieva A.B., Llorca-Isern N., Cabrera J.-M. Duplex and superduplex stainless steels: microstructure and property evolution by surface modification processes. Metals, 2019, vol. 9, pp. 347 (11 p.). DOI: 10.3390/met9030347 Scholar
- 92.Wang S.-L., Sekerka R.F., Wheller A.A., Muray B.T., Coriel S.R., Braun R.J., McFadden G.B. Thermodynamically-consistent phase-field models for solidification. Physica D, 1993, vol. 69, pp. 189-200. DOI: 10.1016/0167-2789(93)90189-8 Scholar
- 93.Warren J.A., Boettinger W.J. Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method. Acta Metall. Mater, 1995, vol. 43, no. 2, pp. 689-703. DOI: 10.1016/0956-7151(94)00285-P Scholar
- 94.Warren A. D., Harminan R. L., Guo Z., Younes C. M., Flewitt P. E. J., Scott T. B. Quantification of sigma-phase evolution in thermally aged 2205 duplex stainless steel. J Mater Sci., 2016, vol. 51, pp. 694-707. DOI: 10.1007/s10853-015-9131-9 Scholar
- 95.Wheller A.A., Murray B.T., Schaefer R.J. Computation of dendrites using a phase-field model, Physica D, 1993, vol. 66, pp. 243-262. DOI: 10.1016/0167-2789(93)90242-S Scholar
- 96.Wu Z., Liu S., Md Hasan N., Li E., An X. The hot deformation behavior in austenite-ferrite heterostructured low density Fe-Mn-Al-C steel. Materials Today Communications, 2023, vol. 37, pp. 107184 (13 p.). DOI: 10.1016/j.mtcomm.2023.107184 Scholar
- 97.Xi T., Yin L., Yang C., Yang K. Hot deformation behavior and processing map of a Cu bearing 2205 duplex stainless steel. Acta Metall. Sin. (Engl. Lett.), 2019, vol. 32, pp. 1537-1548. DOI: 10.1007/s40195-019-00910-6 Scholar
- 98.Yanagawa S., Watanabe I. Multiscale finite element analysis of yield-point phenomenon in ferrite-pearlite duplex steels. ISIJ Int, 2024, vol. 64, no.5, pp. 874-880. DOI: 10.2355/isijinternationa1.ISIJINT-2023-470 Scholar
- 99.Yuan Y., Yuan S., Wang Y., Li Q., Deng Z., Xie Y., Ke Y., Xu J., Yu H., Sun D., Xu X. Nanostructure, mechanical properties, and corrosion resistance of super duplex stainless steel 2507 aged at 500 °C. Crystals, 2023, vol. 13, pp. 243 (12 p.). DOI: 3390/cryst13020243 Scholar
- 100.Yuan Y., Xie Y., Hou Z., Jin Q., Ke Y., Dong Z., Yu H., Sun D., Xu X. Synergistic effect of dislocation and elemental clustering on spinodal decomposition in super duplex stainless steel. Mater. Charact., 2025, vol. 221, pp. 114719. DOI: 10.1016/j.matchar.2025.114719 Scholar
- 101.Zhai D., Zou Z., Jin M., Cui Z., Wang T. Constitutive model of trip-type duplex stainless steel under symmetrical strain cyclic loading considering the effect of martensitic transformation. Metallurgical and Materials Transactions A, 2025, vol. 56A, pp. 587-599. DOI: 10.1007/s11661-024-07666-4 Scholar
- 102.Zhang D., Wen P., Yin B.Z., Liu A.B. Temperature evolution, phase ratio and corrosion resistance of duplex stainless steels treated by laser surface heat treatment. J. Manufacturing Processes, 2021, vol. 62, pp. 99-107. DOI: 10.1016/j.jmapro.2020.12.040 Scholar
- 103.Zhao Y., Wang Y., Tang S., Zhang W., Liu Z. Edge cracking prevention in 2507 super duplex stainless steel by twin-roll strip casting and its microstructure and properties. J. Mater. Process. Technol., 2019, vol. 266, pp. 246-254. DOI: 10.1016/j.jmatprote.2018.11.010 Scholar
- 104.Zhou T., Xiong Y., Zha X., Yue Y., Lu Y., He T., Ren F., Rani E., Singh H., Komi J., Huttula M., Cao W. Hot-deformation-induced structural and mechanical properties of Ce-modified SAF 2507 super duplex stainless steel. J. Mater. Res. Technol., 2020, vol. 9, pp. 8379-8390. DOI: 10.1016/j.jmrt.2020.05.123 Scholar
- 105.Zhitenev A.I., Fedorov A.S., Kovalev P.V., Strekalovskaya D.A., Al'khimenko A.A. Cast structure and properties of duplex stainless steels. Steel, 2022, vol. 52, no. 5, pp. 479-486. DOI: 10.3103/S0967091222050126 Scholar
- 106.Zhu Q., Gao F., Gao Z., Zhang W., Tang S., Cai X., Liu Z. Influence of deformation temperature and strain rate on martensitic transformation of duplex stainless steel and its corresponding kinetic model. Metals, 2025, vol. 15, pp. 581 (25 p.). DOI: 10.3390/met15060581 Scholar
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