Frontier Materials & TechnologiesFrontier Materials & TechnologiesFrontier Materials & Technologies2782-40392782-6074Togliatti State University89110.18323/2782-4039-2023-4-66-3ArticlesСтатьиDetermination of the stress threshold and microstructural factors forming the nonlinear unloading effect of the ZK60 (MA14) magnesium alloyОпределение порога напряжения и микроструктурных факторов, формирующих эффект нелинейной разгрузки магниевого сплава МА14 (ZK60)https://orcid.org/0000-0002-7352-9947DanyukAleksey ValerievichДанюкАлексей Валериевич
Russian Federation

PhD (Physics and Mathematics), senior researcher of the Research Institute of Advanced Technologies

кандидат физико-математических наук, старший научный сотрудник НИИ прогрессивных технологий

alexey.danyuk@gmail.comhttps://orcid.org/0000-0001-5006-4115MersonDmitry LvovichМерсонДмитрий Львович
Russian Federation

Doctor of Sciences (Physics and Mathematics), Professor, Director of the Research Institute of Advanced Technologies

доктор физико-математических наук, профессор, директор НИИ прогрессивных технологий

d.merson@tltsu.ruhttps://orcid.org/0000-0002-5780-6094BrilevskiyAleksandr IgorevichБрилевскийАлександр Игоревич
Russian Federation

junior researcher of the Research Institute of Advanced Technologies

младший научный сотрудник НИИ прогрессивных технологий

alexandrbril@yandex.ruAfanasyevMaksim AnatolyevichАфанасьевМаксим Анатольевич
Russian Federation

researcher of the Research Institute of Advanced Technologies

научный сотрудник НИИ прогрессивных технологий

Togliatti State University, TogliattiТольяттинский государственный университет, Тольятти301220234313928122023https://vektornaukitech.ru/jour/article/view/891

Magnesium alloys are an ideal material for creating lightweight and durable modern transport systems, but their widespread use is limited due to some physical and chemical properties. This paper considers the effect of nonlinear elastic unloading of the MA14 (ZK60, Mg–5.4Zn–0.5Zr) magnesium alloy in a coarse-grained state after recrystallisation annealing. The study found that the nonlinearity of the unloading characteristic, is formed when reaching a certain threshold stress level. It is expected that the effect under the study is associated with the deformation behavior of the alloy, during which the twin structure formation according to the tensile twinning mechanism is observed. The sample material microstructure was determined, by scanning electron microscopy using electron backscattered diffraction analysis. Determination of the threshold stress, for the formation of unloading nonlinearity was carried out by two methods: 1) by the value of the loop area formed by the nonlinearity of the unloading mechanical characteristics and the repeated loading (mechanical hysteresis) characteristics, and 2) by analysing the acoustic emission recorded during failure strain. A comparison of the results obtained, allows suggesting that the unloading nonlinearity is caused by twinning in grains, in which an unfavorable configuration (low Schmidt factor), for dislocation slip is observed. Rotating the twinned crystal at an angle close to 90° does not contribute to an increase in the Schmidt factor and activation of dislocation slip systems to secure the deformed structure through the dislocation strengthening mechanism. With a subsequent decrease in the external stress, detwinning and partial restoration of the crystal lattice configuration occur.

Магниевые сплавы – идеальный материал для создания легких и прочных современных транспортных систем, однако его широкое применение ограничено из-за некоторых физико-химических свойств. В работе рассмотрен эффект нелинейной упругой разгрузки магниевого сплава МА14 (ZK60, Mg‑5,4Zn‑0,5Zr) в крупнозернистом состоянии после рекристаллизационного отжига. Установлено, что нелинейность характеристики разгрузки формируется после достижения определенного порогового уровня напряжения. Предполагается, что изучаемый эффект связан с деформационным поведением сплава, при котором наблюдается формирование двойниковой структуры по механизму двойникования растяжения. Микроструктура материала образцов была определена методами растровой электронной микроскопии с применением анализа дифракции обратно рассеянных электронов. Определение порогового напряжения формирования нелинейности разгрузки было проведено двумя методами: 1) по величине площади петли, образуемой нелинейностью механической характеристики разгрузки и характеристики повторного нагружения (механический гистерезис), и 2) по анализу акустической эмиссии, зарегистрированной при растяжении до разрушения. Сопоставление полученных результатов позволяет предположить, что нелинейность разгрузки обусловлена двойникованием в зернах, в которых наблюдается невыгодная конфигурация (низкий фактор Шмидта) для дислокационного скольжения. Разворот продвойниковавшего кристалла на угол, близкий к 90°, не способствует повышению фактора Шмидта и активации систем скольжения дислокаций для закрепления деформированной структуры по механизму дислокационного упрочнения. При последующем снижении величины внешнего напряжения происходит раздвойникование и частичное восстановление конфигурации кристаллической решетки.

magnesiummagnesium alloyZK60 (Mg–5.4Zn–0.5Zr)nonlinear unloadingstress thresholdelasticitytwinningdetwinningdeformation behaviorмагниймагниевый сплавМА14 (ZK60, Mg–5,4Zn–0,5Zr)нелинейная разгрузкапорог напряженияупругостьдвойникованиераздвойникованиедеформационное поведениеThe research was financially supported by the Russian Science Foundation within the scientific project No. 22-23-01169.Исследование выполнено при финансовой поддержке Российского научного фонда в рамках реализации научного проекта № 22-23-01169.Yu Hai Yan, Wu Hangyu, Wang Lin. Inelastic strain recovery of magnesium alloys and a new elastic modulus model. IOP Conference Series: Materials Science and Engineering, 2020, vol. 967, article number 012046. DOI: 10.1088/1757-899X/967/1/012046.Yu Hai Yan, Wu Hangyu, Wang Lin. Inelastic strain recovery of magnesium alloys and a new elastic modulus model // IOP Conference Series: Materials Science and Engineering. 2020. Vol. 967. Article number 012046. DOI: 10.1088/1757-899X/967/1/012046.Xiong Ying, Yu Qin, Jiang Yanyao. Deformation of extruded ZK60 magnesium alloy under uniaxial loading in different material orientations. Materials Science and Engineering: A, 2018, vol. 710, pp. 206–213. DOI: 10.1016/j.msea.2017.10.059.Xiong Ying, Yu Qin, Jiang Yanyao. Deformation of extruded ZK60 magnesium alloy under uniaxial loading in different material orientations // Materials Science and Engineering: A. 2018. Vol. 710. P. 206–213. DOI: 10.1016/j.msea.2017.10.059.Shiraishi K., Mayama T., Yamasaki M., Kawamura Y. Enhanced non-linearity during unloading by LPSO phase in as-cast Mg–Zn–Y alloys and slip-dominated non-linear unloading mechanism. Materials Science and Engineering: A, 2020, vol. 790, article number 139679. DOI: 10.1016/j.msea.2020.139679.Shiraishi K., Mayama T., Yamasaki M., Kawamura Y. Enhanced non-linearity during unloading by LPSO phase in as-cast Mg–Zn–Y alloys and slip-dominated non-linear unloading mechanism // Materials Science and Engineering: A. 2020. Vol. 790. Article number 139679. DOI: 10.1016/j.msea.2020.139679.Hama T., Matsudai R., Kuchinomachi Y., Fujimoto H., Takuda H. Non-linear Deformation behavior during unloading in various metal sheets. ISIJ International, 2015, vol. 55, no. 5, pp. 1067–1075. DOI: 10.2355/isijinternational.55.1067.Hama T., Matsudai R., Kuchinomachi Y., Fujimoto H., Takuda H. Non-linear Deformation behavior during unloading in various metal sheets // ISIJ International. 2015. Vol. 55. № 5. P. 1067–1075. DOI: 10.2355/isijinternational.55.1067.Wang Lifei, Huang Guangsheng, Quan Quan, Bassani P., Mostaed E., Vadani M., Pan Fusheng. The effect of twinning and detwinning on the mechanical property of AZ31 extruded magnesium alloy during strain-path changes. Material & Design, 2014, vol. 63, pp. 177–184. DOI: 10.1016/j.matdes.2014.05.056.Wang Lifei, Huang Guangsheng, Quan Quan, Bassani P., Mostaed E., Vadani M., Pan Fusheng. The effect of twinning and detwinning on the mechanical property of AZ31 extruded magnesium alloy during strain-path changes // Material & Design. 2014. Vol. 63. P. 177–184. DOI: 10.1016/j.matdes.2014.05.056.Frydrych K., Libura T., Kowalewski Z., Maj M., Kowalczyk-Gajewwska K. On the role of slip, twinning and detwinning in magnesium alloy AZ31B sheet. Materials Science and Engineering: A, 2021, vol. 813, article number 141152. DOI: 10.1016/j.msea.2021.141152.Frydrych K., Libura T., Kowalewski Z., Maj M., Kowalczyk-Gajewwska K. On the role of slip, twinning and detwinning in magnesium alloy AZ31B sheet // Materials Science and Engineering: A. 2021. Vol. 813. Article number 141152. DOI: 10.1016/j.msea.2021.141152.Tang Weigin, Lee Jeong Yeon, Wang Huamiao, Steglich D., Li Dayong, Peng Yinghong, Wu Peidong. Unloading behaviors of the rare-earth magnesium alloy ZE10 sheet. Journal of Magnesium and Alloys, 2021, vol. 9, no. 3, pp. 927–936. DOI: 10.1016/j.jma.2020.02.023.Tang Weigin, Lee Jeong Yeon, Wang Huamiao, Steglich D., Li Dayong, Peng Yinghong, Wu Peidong. Unloading behaviors of the rare-earth magnesium alloy ZE10 sheet // Journal of Magnesium and Alloys. 2021. Vol. 9. № 3. P. 927–936. DOI: 10.1016/j.jma.2020.02.023.Shi Baodong, Yang Chong, Peng Yan, Zhang Fucheng, Pan Fusheng. Anisotropy of wrought magnesium alloys: A focused overview. Journal of Magnesium and Alloys, 2022, vol. 10, no. 6, pp. 1476–1510. DOI: 10.1016/j.jma.2022.03.006.Shi Baodong, Yang Chong, Peng Yan, Zhang Fucheng, Pan Fusheng. Anisotropy of wrought magnesium alloys: A focused overview // Journal of Magnesium and Alloys. 2022. Vol. 10. № 6. P. 1476–1510. DOI: 10.1016/j.jma.2022.03.006.Chen Hongbing, Liu Tianmo, Zhang Yin, Song Bo, Hou Dewen, Pan Fusheng. The yield asymmetry and precipitation behavior of pre-twinned ZK60 alloy. Materials Science and Engineering: A, 2016, vol. 652, pp. 167–174. DOI: 10.1016/j.msea.2015.11.092.Chen Hongbing, Liu Tianmo, Zhang Yin, Song Bo, Hou Dewen, Pan Fusheng. The yield asymmetry and precipitation behavior of pre-twinned ZK60 alloy // Materials Science and Engineering: A. 2016. Vol. 652. P. 167–174. DOI: 10.1016/j.msea.2015.11.092.Zhao Lingyu, Chen Wenhao, Zhou Beian, He Cong, Yan Changjian, Jin Zhaoyang, Yu Huihui, Xin Yunchang. Quantative study on the tension-compression yield asymmetry of a Mg–3Al–1Zn alloy with bimodal texture components. Journal of Magnesium and Alloys, 2022, vol. 10, no. 6, pp. 1680–1693. DOI: 10.1016/j.jma.2022.03.002.Zhao Lingyu, Chen Wenhao, Zhou Beian, He Cong, Yan Changjian, Jin Zhaoyang, Yu Huihui, Xin Yunchang. Quantative study on the tension-compression yield asymmetry of a Mg–3Al–1Zn alloy with bimodal texture components // Journal of Magnesium and Alloys. 2022. Vol. 10. № 6. P. 1680–1693. DOI: 10.1016/j.jma.2022.03.002.Vinogradov A., Vasilev E., Linderov M., Merson D. Evolution of Mechanical Twinning during Cyclic Deformation of Mg–Zn–Ca Alloys. Metals, 2016, vol. 6, no. 12, article number 304. DOI: 10.3390/met6120304.Vinogradov A., Vasilev E., Linderov M., Merson D. Evolution of Mechanical Twinning during Cyclic Deformation of Mg–Zn–Ca Alloys // Metals. 2016. Vol. 6. № 12. Article number 304. DOI: 10.3390/met6120304.Wang Yang-Yang, Jia Chen, Tayebi M., Hamawandi B. Microstructural Evolution during Accelerated Tensile Creep Test of ZK60/SiCp Composite after KoBo Extrusion. Materials, 2022, vol. 15, no. 18, article number 6428. DOI: 10.3390/ma15186428.Wang Yang-Yang, Jia Chen, Tayebi M., Hamawandi B. Microstructural Evolution during Accelerated Tensile Creep Test of ZK60/SiCp Composite after KoBo Extrusion // Materials. 2022. Vol. 15. № 18. Article number 6428. DOI: 10.3390/ma15186428.Trojanova Z., Drozd Z., Lukac P., Dzugan J. Stress Relaxation Tests: Modeling Issues and Applications in Magnesium Alloys and Composites. Journal of Materials Engineering and Performance, 2023, vol. 32, pp. 2766–2783. DOI: 10.1007/s11665-022-06951-w.Trojanova Z., Drozd Z., Lukac P., Dzugan J. Stress Relaxation Tests: Modeling Issues and Applications in Magnesium Alloys and Composites // Journal of Materials Engineering and Performance. 2023. Vol. 32. P. 2766–2783. DOI: 10.1007/s11665-022-06951-w.Vinogradov A., Orlov D., Danyuk A., Estrin Y. Effect of grain size on the mechanisms of plastic deformation in wrought Mg–Zn–Zr alloy revealed by acoustic emission measurements. Acta Materialia, 2013, vol. 61, no. 6, pp. 2044–2056. DOI: 10.1016/j.actamat.2012.12.024.Vinogradov A., Orlov D., Danyuk A., Estrin Y. Effect of grain size on the mechanisms of plastic deformation in wrought Mg–Zn–Zr alloy revealed by acoustic emission measurements // Acta Materialia. 2013. Vol. 61. № 6. P. 2044–2056. DOI: 10.1016/j.actamat.2012.12.024.Capek J., Knapek M., Minarik P., Dittrich J., Mathis K. Characterization of Deformation Mechanisms in Mg Alloys by Advanced Acoustic Emission Methods. Metals, 2018, vol. 8, no. 8, article number 644. DOI: 10.3390/met8080644.Capek J., Knapek M., Minarik P., Dittrich J., Mathis K. Characterization of Deformation Mechanisms in Mg Alloys by Advanced Acoustic Emission Methods // Metals. 2018. Vol. 8. № 8. Article number 644. DOI: 10.3390/met8080644.Vinogradov A., Orlov D., Danyuk A., Estrin Y. Deformation mechanisms underlying tension–compression asymmetry in magnesium alloy ZK60 revealed by acoustic emission monitoring. Materials Science and Engineering: A, 2015, vol. 621, pp. 243–251. DOI: 10.1016/j.msea.2014.10.081.Vinogradov A., Orlov D., Danyuk A., Estrin Y. Deformation mechanisms underlying tension–compression asymmetry in magnesium alloy ZK60 revealed by acoustic emission monitoring // Materials Science and Engineering: A. 2015. Vol. 621. P. 243–251. DOI: 10.1016/j.msea.2014.10.081.Vinogradov A., Nadtochiy M., Hashimoto S., Miura S. Acoustic Emission Spectrum and Its Orientation Dependence in Copper Single Crystals. Materials Transactions, JIM, 1995, vol. 36, no. 4, pp. 496–503. DOI: 10.2320/matertrans1989.36.496.Vinogradov A., Nadtochiy M., Hashimoto S., Miura S. Acoustic Emission Spectrum and Its Orientation Dependence in Copper Single Crystals // Materials Transactions, JIM. 1995. Vol. 36. № 4. P. 496–503. DOI: 10.2320/matertrans1989.36.496.Tromans D. Elastic anisotropy of HCP metal crystals and polycrystals. IJRRAS, 2011, vol. 6, no. 4, pp. 462–483.Tromans D. Elastic anisotropy of HCP metal crystals and polycrystals // IJRRAS. 2011. Vol. 6. № 4. P. 462–483.Pahlevanpour A.H., Karparvarfard S.M.H., Shaha S.K., Behravesh S.B., Adibnazari S., Jahed H. Anisotropy in the Quasi-static and Cyclic Behavior of ZK60 Extrusion: Characterization and Fatigue Modeling. Material & Design, 2018, vol. 160, pp. 936–948. DOI: 10.1016/j.matdes.2018.10.026.Pahlevanpour A.H., Karparvarfard S.M.H., Shaha S.K., Behravesh S.B., Adibnazari S., Jahed H. Anisotropy in the Quasi-static and Cyclic Behavior of ZK60 Extrusion: Characterization and Fatigue Modeling // Material & Design. 2018. Vol. 160. P. 936–948. DOI: 10.1016/j.matdes.2018.10.026.Russell W.D., Bratton N.R., Paudel Y. et al. In Situ Characterization of the Effect of Twin-Microstructure Interactions on {1 0 1 2} Tension and {1 0 1 1} Contraction Twin Nucleation, Growth and Damage in Magnesium. Metals, 2020, vol. 10, no. 11, article number 1403. DOI: 10.3390/met10111403.Russell W.D., Bratton N.R., Paudel Y. et al. In Situ Characterization of the Effect of Twin-Microstructure Interactions on {1 0 1 2} Tension and {1 0 1 1} Contraction Twin Nucleation, Growth and Damage in Magnesium // Metals. 2020. Vol. 10. № 11. Article number 1403. DOI: 10.3390/met10111403.Agnew S.R. Deformation mechanisms of magnesium alloys. Advances in Wrought Magnesium Alloys. Advances in Wrought Magnesium Alloys. Fundamentals of Processing, Properties and Applications, 2012, pp. 63–104. DOI: 10.1533/9780857093844.1.63.Agnew S.R. Deformation mechanisms of magnesium alloys. Advances in Wrought Magnesium Alloys // Advances in Wrought Magnesium Alloys. Fundamentals of Processing, Properties and Applications. 2012. P. 63–104. DOI: 10.1533/9780857093844.1.63.Wang Jingya, Chen Yiwen, Chen Zhe, Llorca J., Zeng Xiaogin. Deformation mechanisms of Mg–Ca–Zn alloys studied by means of micropillar compression tests. Acta Materialia, 2021, vol. 217, article number 117151. DOI: 10.1016/j.actamat.2021.117151.Wang Jingya, Chen Yiwen, Chen Zhe, Llorca J., Zeng Xiaogin. Deformation mechanisms of Mg–Ca–Zn alloys studied by means of micropillar compression tests // Acta Materialia. 2021. Vol. 217. Article number 117151. DOI: 10.1016/j.actamat.2021.117151.Li Lichao, Kim Chunjoong, Kim Young-Min. Identification of Active Slip Mode and Calculation of Schmid Factors in Magnesium Alloy. Metals, 2022, vol. 12, no. 10, article number 1604. DOI: 10.3390/met12101604.Li Lichao, Kim Chunjoong, Kim Young-Min. Identification of Active Slip Mode and Calculation of Schmid Factors in Magnesium Alloy // Metals. 2022. Vol. 12. № 10. Article number 1604. DOI: 10.3390/met12101604.Kosevich A.M., Boyko V.S. Dislocation theory of the elastic twinning of crystals. Uspekhi fizicheskikh nauk, 1971, vol. 104, no. 2, pp. 201–254. DOI: 10.3367/UFNr.0104.197106b.0201.Косевич А.М., Бойко В.С. Дислокационная теория упругого двойникования кристаллов // Успехи физических наук. 1971. Т. 104. № 2. С. 201–254. DOI: 10.3367/UFNr.0104.197106b.0201.Yu Qin, Wang Jian, Jiang Yanyao, McCabe R.J., Li Nan, Tomé C.N. Twin–twin interactions in magnesium. Acta Materialia, 2014, vol. 77, pp. 28–42. DOI: 10.1016/j.actamat.2014.05.030.Yu Qin, Wang Jian, Jiang Yanyao, McCabe R.J., Li Nan, Tomé C.N. Twin–twin interactions in magnesium // Acta Materialia. 2014. Vol. 77. P. 28–42. DOI: 10.1016/j.actamat.2014.05.030.