The martensite stabilization effect in titanium nickelide after preliminary deformation by cooling under stress in an incomplete transformation interval
Timofei V. Rebrov, Alexandr E. Volkov, Egor A. Vukolov, Fedor S. Belyaev, Natalia A. Volkova, Margarita E. Evard
Author details
- St. Petersburg State University, Saint Petersburg, Russian Federation
- St. Petersburg State University, Saint Petersburg, Russian Federation
- St. Petersburg State University, Saint Petersburg, Russian Federation
- Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, Saint Petersburg, Russian Federation
- St. Petersburg State Technological Institute (Technical University), Saint Petersburg, Russian Federation
- St. Petersburg State University, Saint Petersburg, Russian Federation
Abstract
When using thermosensitive sensors and servos, based on shape memory alloys (SMA), it is necessary to take into account the influence of shifting factors capable the temperatures of martensitic transformations (MP). One of these factors is the martensite stabilization effect (MSE), which manifests itself as an increase in reverse MP temperatures after preliminary deformation. Previous MSE studies allowed, based on experimental data, to hypothesize that this effect is due to damage to the boundaries orientation of the martensite domains. This suggests that minimizing or eliminating MSE is possible while minimizing damage to these boundaries. One of the ways to achieve this is to cool the SMA from the austenitic state under constant load in an incomplete temperature range of transformation. Numerical experiments performed within the framework of a microstructural model that takes into account MSE made it possible to determine the dependence of the temperature shift of the reverse transformation on the value of the fraction of direct transformation achieved during cooling. The results showed that the temperature shift remains zero or negligible until a certain critical fraction of the transformation is reached.
Keywords
Эффект стабилизации мартенсита в никелиде титана после предварительной деформации путём охлаждения под нагрузкой в неполном интервале превращения
При использовании термочувствительных датчиков и термоприводов на основе сплавов с памятью формы (СПФ) необходимо учитывать влияние факторов, способных смещать температуры мартенситных превращений (МП). Одним из таких факторов является эффект стабилизации мартенсита (ЭСМ), который проявляется в повышении температур обратного МП после предварительной деформации. Ранее проведённые исследования ЭСМ позволили на основе экспериментальных данных выдвинуть гипотезу, что данный эффект обусловлен повреждением границ ориентационных доменов мартенсита. Это позволяет предположить, что минимизация или устранение ЭСМ возможна при сведении к минимуму повреждений данных границ. Одним из способов достижения этого является охлаждение СПФ из аустенитного состояния под постоянной нагрузкой в неполном температурном интервале превращения. Численные эксперименты, выполненные в рамках микроструктурной модели, учитывающей ЭСМ, позволили определить зависимость смещения температур обратного превращения от величины доли прямого превращения, достигнутой при охлаждении. Результаты показали, что смещение температур остаётся нулевым или незначительным до достижения определённой критической доли превращения.
Ключевые слова
Bibliography
- 1.Kustov S., Pons J., Cesari E., Morin M. and Van Humbeeck J. Athermal stabilization of Cu–Al–Be β1′ martensite due to plastic deformation and heat treatment. Materials Science and Engineering A, 2004, vol. 373, iss.1-2, pp. 328-338. Scholar
- 2.Kustov S., Pons J., Cesari E. and Van Humbeeck J. Chemical and mechanical stabilization of martensite. Acta Materialia, 2004, vol. 52, iss.15, pp. 4547-4559. Scholar
- 3.Heczko O., et al. Mechanical Stabilization of Martensite in Cu–Ni–Al Single Crystal and Unconventional Way to Detect It. Shape Memory and Superelasticity, 2018, vol. 4, pp. 77-84. Scholar
- 4.Chernenko V. A., et al. Transformation behaviour and martensite stabilization in the ferromagnetic Co–Ni–Ga Heusler alloy. Scripta Materialia, 2004, vol. 50, pp. 225-229. Scholar
- 5.Kadletz P. M., et al. Martensite stabilization in shape memory alloys – Experimental evidence for short-range ordering. Materials Letters, 2015, vol. 159, pp. 16-19. Scholar
- 6.Bakhtiarı S., et al. Deformation induced martensite stabilization of NiTi in constrained composite systems. Materials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing, 2022, vol. 857, p. 144128. Scholar
- 7.Lin H. C., Wu S. K., Chou T. S. and Kao H. P. The effects of cold rolling on the martensitic transformation of an equiatomic Ti Ni alloy. Acta Metallurgica et Materialia, 1991, vol. 39, pp. 2069-2080. Scholar
- 8.Piao M., Otsuka K., Miyazaki S. and Horikawa H. Mechanisms of the As temperature increase by pre-deformation in thermoelastic alloys. Materials Transactions JIM, 1993, vol. 34, no. 10, pp. 919-929. Scholar
- 9.Liu Y. and Favier D. Stabilisation of martensite due to shear deformation via variant reorientation in polycrystalline NiTi. Acta Materialia, 2000, vol. 48, pp. 3489-3499. Scholar
- 10.Liu Y. and McCormick P.G. Thermodynamic analysis of the martensitic transformation in NiTi-I. Effect of heat treatment on transformation behavior. Acta Metallurgica et Materialia, 1994, vol. 42, pp. 2401-2406. DOI: 10.1016/0956-7151(94)90318-2. Scholar
- 11.Liu Y. and Tan G.S. Effect of deformation by stress-induced martensitic transformation on the transformation behaviour of NiTi. Intermetallics, 2000, vol. 8, pp. 67-75. Scholar
- 12.Tan G. and Liu Y. Comparative study of deformation-induced martensite stabilization via martensite reorientation and stress-induced martensitic transformation in NiTi. Intermetallics, 2004, vol. 12, pp. 373-381. DOI: 10.1016/j.intermet.2003.11.008. Scholar
- 13.Liu Y. Mechanistic simulation of deformation-induced martensite stabilization. Materials Science and Engineering A, 2004, vol. 378, pp. 459-464. Scholar
- 14.Liu Y., Tan G. and Miyazaki S. Deformation-induced martensite stabilisation in [100] single-crystalline Ni–Ti. Materials Science and Engineering A, 2006, vol. 438-440, pp. 612-616. Scholar
- 15.Ortin J. and Planes A. Thermodynamics of thermoelastic martensitic. Acta Metallurgica, 1989, vol. 37, pp. 1433-1441. DOI: 10.1016/0001-6160(89)90175-2. Scholar
- 16.Wollants P., Roos J.R. and Delacy L. Thermally- and stress-induced thermoelastic martensitic transformations in the reference frame of the equilibrium thermodynamics. Progress in Materials Science, 1993, vol. 37, pp. 227-288. DOI: 10.1016/0079-6425(93)90005-6. Scholar
- 17.Belyaev S., Resnina N., Iaparova E., Ivanova A., Rakhimov T. and Andreev V. Influence of chemical composition of NiTi alloy on the martensite stabilization effect. Journal of Alloys and Compounds, 2019, vol. 787, pp. 1365-1371. DOI: 10.1016/j.jallcom.2019.01.326. Scholar
- 18.Belyaev S., Resnina N., Rakhimov T. and Andreev V. Martensite stabilisation effect in Ni-rich NiTi shape memory alloy with different structure and martensitic transformations. Sensors and Actuators A: Physical, 2020, vol. 305, p. 111911. DOI: 10.1016/j.sna.2020.111911. Scholar
- 19.Belyaev S., Resnina N., Ivanova A., et al. Martensite Stabilization Effect in the Ni50Ti50 Alloy After Preliminary Deformation by Cooling Under Constant Stress. Shape Memory and Superelasticity, 2020, vol. 6, pp. 223-231. DOI: 10.1007/s40830-020-00282-2. Scholar
- 20.Belyaev S., Resnina N., Ponikarova I., Iaparova E., Rakhimov T., Ivanova A., Tabachkova N. and Andreev V. Damage of the martensite interfaces as the mechanism of the martensite stabilization effect in the NiTi shape memory alloys. Journal of Alloys and Compounds, 2022, vol. 921, p. 166189. Scholar
- 21.Belyaev F.S., Volkov A.E., Volkova N.A., Vukolov E.A., Evard M.E. and Rebrov T.V. Modelirovanie effekta stabilizacii martensita v nikelide titana posle deformacii v martensitnom sostoyanii [Simulation of the effect of martensite stabilization in titanium nikelide after deformation in the martensitic state]. Mechanika kompozitsionnykh materialov i konstruktsiy [Mechanics of Composite Materials and Structures], 2023, vol. 29, pp. 470-482. Scholar
- 22.Belyaev F.S., Volkov A.E., Volkova N.A., Vukolov E.A. and Evard M.E. The effect of martensite stabilization in titanium nikelide after various methods of pre-deformation: simulation with a single set of constants. Materials Physics and Mechanics, 2024, vol. 52, iss.4, pp. 91-99. Scholar
- 23.Belyaev F., Evard M., Volkov A. and Volkova N. A microstructural model of SMA with microplastic deformation and defects accumulation: Application to thermocyclic loading. Materials Today: Proceedings, 2015, vol. 2, suppl. 3, pp. S583-S587. Scholar
- 24.Volkov A.E., Evard M.E., Volkova N.A. and Vukolov E.A. Microstructural modeling of a TiNi beam bending. Materials Physics and Mechanics, 2023, vol. 51, pp. 177-186. Scholar
- 25.Beliaev F.S., Evard M.E., Ostropiko E.S., Razov A.I. and Volkov A.E. Aging Effect on the One-Way and Two-Way Shape Memory in TiNi-Based Alloys. Shape Memory and Superelasticity, 2019, vol. 5, pp. 218-229. Scholar
- 26.Salzbrenner R.J. and Cohen M. On the thermodynamics of thermoelastic martensitic transformations. Acta Metallurgica, 1979, 27, pp. 739-748. Scholar
- 27.Patoor E., Eberhardt A. and Berveiller M. Micromechanical modelling of superelasticity in shape memory alloys. Journal of Physics IV, 1996, C1-6, pp. 277-292. Scholar
- 28.Patoor E., El Amrani M., Eberhardt A. and Berveiller M. Determination of the origin for the dissymmetry observed between tensile and compression tests on shape memory alloys. Journal of Physics IV, 1995, vol. 5, pp. 495-500. Scholar
- 29.Nishida M., Nishiura T., Kawano H. and Imamura T. Self-accommodation of B19' martensite in Ti-Ni shape memory alloys - Part I. Morphological and crystallographic studies of variant selection rule. Philosophical Magazine, 2012, vol. 92, pp. 2215-2233. Scholar
- 30.Madangopal K., Singh J. and Banerjee S. Self-accommodation in Ni-Ti shape memory alloys. Scripta Metallurgica, 1991, vol. 25, pp. 2153-2158. Scholar
- 31.Madangopal K., Singh J.B. and Banerjee S. The Nature of Self-Accommodation in Ni-Ti Shape Memory Alloys. Scripta Metallurgica et Materialia, 1993, vol. 29, pp. 725-728. Scholar
- 32.Trusov P.V. and Volegov P.S. Fizicheskie teorii plastichnosti: teoriya i prilozheniya k opisaniyu neuprugogo deformirovaniya materialov. Ch.1. Zhestkoplasticheskie i uprugoplasticheskie modeli [Physical theories of plasticity: Theory and applications to the description of inelastic deformation of materials. Part 1. Rigid-plastic and elastic-plastic models]. Vestnik PGTU. Mekhanika, 2011, vol. 1, pp. 5-45. Scholar
- 33.Trusov P.V. and Shveikin A.I. Mnogourovnevye modeli mono- i polikristallicheskikh materialov: teoriya, algoritmy, primery primeneniya [Multilevel models of single- and polycrystalline materials: Theory, algorithms, application examples]. Novosibirsk: Izdatelstvo SO RAN. 2019. DOI: 10.15372/MULTILEVEL2019TPV Scholar
- 1.Athermal stabilization of Cu–Al–Be β1′ martensite due to plastic deformation and heat treatment / S. Kustov, J. Pons, E. Cesari, M. Morin, J. Van Humbeeck // Mater Sci Eng A. – 2004. – Vol. 373(1-2). – P. 328–38. Scholar
- 2.Chemical and mechanical stabilization of martensite / S. Kustov, J. Pons, E. Cesari, J. Van Humbeeck // Acta Materialia. – 2004. – Vol. 52. – P. 4547–59. Scholar
- 3.Mechanical Stabilization of Martensite in Cu–Ni–Al Single Crystal and Unconventional Way to Detect It / O. Heczko [et al.] // Shape Memory and Superelasticity. – 2018. – Vol. 4, no. 1. – P. 77–84. Scholar
- 4.Transformation behaviour and martensite stabilization in the ferromagnetic Co–Ni–Ga Heusler alloy / V.A. Chernenko [et al.] // Scripta Materialia. – 2004. – Vol. 50, no. 2. – P. 225–229. Scholar
- 5.Martensite stabilization in shape memory alloys – Experimental evidence for short-range ordering / P.M. Kadletz [et al.] // Materials Letters. – 2015. – Vol. 159. – P. 16–19. Scholar
- 6.Deformation induced martensite stabilization of NiTi in constrained composite systems / S. Bakhtiari [et al.] // Materials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing. – 2022. – Vol. 857. – P. 144128. Scholar
- 7.The effects of cold rolling on the martensitic transformation of an equiatomic Ti Ni alloy / H.C. Lin, S.K. Wu, T.S. Chou, H.P. Kao // Acta Metallurgica et Materialia. – 1991. – Vol. 39(9). – P. 2069–2080. Scholar
- 8.M. Piao, K. Otsuka, S. Miyazaki, H. Horikawa. Mechanisms of the As temperature increase by pre-deformation in thermoplastic alloys // Materials Transactions JIM. – 1993. – Vol. 34(10). – P. 919–929. Scholar
- 9.Liu, Y. Stabilisation of martensite due to shear deformation via variant reorientation in polycrystalline NiTi / Y. Liu, D. Favier // Acta Materialia. – 2000. – Vol. 48. – P. 3489–3499. Scholar
- 10.Liu, Y. Thermodynamic analysis of the martensitic transformation in NiTi-I. Effect of heat treatment on transformation behaviour / Y. Liu, P.G. McCormick // Acta Metallurgica et Materialia. – 1994. – Vol. 42(7). – P. 2401–2406. DOI: 10.1016/0956-7151(94)90318-2 Scholar
- 11.Liu, Y. Effect of deformation by stress-induced martensitic transformation on the transformation behaviour of NiTi / Y. Liu, G.S. Tan // Intermetallics. – 2000. – Vol. 8. – P. 67–75. Scholar
- 12.Tan, G. Comparative study of deformation-induced martensite stabilization via martensite reorientation and stress-induced martensitic transformation in NiTi / G. Tan, Y. Liu // Intermetallics. – 2004. – Vol. 12(4). – P. 373–381. DOI: 10.1016/j.intermet.2003.11.008 Scholar
- 13.Liu Y. Mechanistic simulation of deformation-induced martensite stabilization / Y. Liu // Mater. Sci. Eng. A378. – 2004. – P. 459–464. Scholar
- 14.Liu, Y. Deformation-induced martensite stabilisation in [100] single-crystalline Ni–Ti / Y. Liu, G. Tan, S. Miyazaki // Mater. Sci. Eng. A 438 (440). – 2006. – P. 612–616. Scholar
- 15.Ortin, J. Thermodynamics of thermoelastic martensitic / J. Ortin, A. Planes // Acta Metallurgica. – 1989. – Vol. 37. – P. 1433–1441. DOI: 10.1016/0001-6160(89)90175-2 Scholar
- 16.Wollants, P. Thermally- and stress-induced thermoelastic martensitic transformations in the reference frame of the equilibrium thermodynamics / P. Wollants, J.R. Roos, L. Delaey // Progr. Mater. Sci. – 1993. – Vol. 37. – P. 227–288. DOI: 10.1016/0079-6425(93)90005-6 Scholar
- 17.Influence of chemical composition of NiTi alloy on the martensite stabilization effect / S. Belyaev, N. Resnina, E. Iaparova, A. Ivanova, T. Rakhimov, V. Andreev // Journal of Alloys and Compounds. – 2019. – Vol. 787. – P. 1365–1371. DOI: 10.1016/j.jallcom.2019.01.326 Scholar
- 18.Martensite stabilisation effect in Ni-rich NiTi shape memory alloy with different structure and martensitic transformations / S. Belyaev, N. Resnina, T. Rakhimov, V. Andreev // Sensors and Actuators A: Physical. – 2020. – Vol. 305. – P. 111911. DOI: 10.1016/j.snsa.2020.111911 Scholar
- 19.Martensite Stabilization Effect in the Ni50Ti50 Alloy After Preliminary Deformation by Cooling Under Constant Stress / S. Belyaev, N. Resnina, A. Ivanova [et al.] // Shap. Mem. Superelasticity. – 2020. – Vol. 6. – P. 223–231. DOI: 10.1007/s40830-020-00282-2 Scholar
- 20.Damage of the martensite interfaces as the mechanism of the martensite stabilization effect in the NiTi shape memory alloys / S. Belyaev, N. Resnina, I. Ponikarova, E. Iaparova, T. Rakhimov, A. Ivanova, N. Tabachkova, V. Andreev // Journal of Alloys and Compounds. – 2022. – Vol. 921. – P. 166189. Scholar
- 21.Моделирование эффекта стабилизации мартенсита в никелиде титана после деформации в мартенситном состоянии / Ф.С. Беляев, А.Е. Волков, Н.А. Волкова, Е.А. Вуколов, М.Е. Евард, Т.В. Ребров // Механика композиционных материалов и конструкции. – 2023. – Т. 29, № 4. – С. 470–482. Scholar
- 22.The effect of martensite stabilization in titanium nickelide after various methods of pre-deformation: simulation with a single set of constants / F.S. Belyaev, A.E. Volkov, N.A. Volkova, E.A. Vukolov, M.E. Evard, T.V. Rebrov // Materials Physics and Mechanics. – 2024. Scholar
- 23.A microstructural model of SMA with microplastic deformation and defects accumulation: Application to thermocyclic loading / F. Belyaev, M. Evard, A. Volkov, N. Volkova // Mater Today Proc. 2, Suppl. – 2015. – Vol. 3. – S583-S587. Scholar
- 24.Microstructural modeling of a TiNi beam bending / A.E. Volkov, M.E. Evard, N.A. Volkova, E.A. Vukolov // Mater Phys Mech. – 2023. – Vol. 51(2). – P. 177-86. Scholar
- 25.Aging Effect on the One-Way and Two-Way Shape Memory in TiNi-Based Alloys / F.S. Beliaev, M.E. Evard, E.S. Ostropiko, A.I. Razov, A.E. Volkov // Shap. Mem. Superelasticity. – 2019. – Vol. 5(3). – P. 218-29. Scholar
- 26.Salzbrrenner, R.J. On the thermodynamics of thermoelastic martensitic transformations / R.J. Salzbrrenner, M. Cohen // Acta Metallurgica. – 1979. – Vol. 27. – P. 739-48. Scholar
- 27.Patoor, E. Micromechanical modelling of superelasticity in shape memory alloys / E. Patoor, A. Eberhardt, M. Berveiller // J Phys IV. – 1996. – C1-6. – P. 277-92. Scholar
- 28.Determination of the origin for the dissymmetry observed between tensile and compression tests on shape memory alloys / E. Patoor, M. El Amrani, A. Eberhardt, M. Berveiller // J Phys IV. – 1995. – Vol. 5. – P. 495–500. Scholar
- 29.Self-accommodation of B19′ martensite in Ti-Ni shape memory alloys – Part I. Morphological and crystallographic studies of variant selection rule / M. Nishida, T. Nishiura, H. Kawano, T. Imamura // Philosophical Magazine. – 2012. – Vol. 92. – P. 2215–2233. Scholar
- 30.Madangopal, K. Self-accommodation in Ni-Ti shape memory alloys / K. Madangopal, J. Singh, S. Benerjee // Scripta Metallurgica. – 1991. – Vol. 25. – P. 2153–2158. Scholar
- 31.Madangopal, K. The Nature of Self-Accommodation in Ni-Ti Shape Memory Alloys / K. Madangopal, J.B. Singh, S. Benerjee // Scripta Metallurgica et Materialia. – 1993. – Vol. 29. – P. 725–728. Scholar
- 32.Трусов, П.В. Физические теории пластичности: теория и приложения к описанию неупругого деформирования материалов. Ч.1. Жесткопластические и упругопластические модели / П.В. Трусов, П.С. Волегов // Вестник ПГТУ. Механика. – 2011a. – № 1. – С. 5–45. Scholar
- 33.Трусов, П.В. Многоуровневые модели моно- и поликристаллических материалов: теория, алгоритмы, примеры применения / П.В. Трусов, А.И. Швейкин. – Новосибирск: Изд-во СО РАН, 2019. – 605 с. DOI: 10.15372/MULTILEVEL2019TPV Scholar
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