Investigation of β/α″ interface in Ti-Nb alloy

Abstract

The β/α″ interface in deformation bands was studied using high resolution transmission electron microscopy (HRTEM) observations in β-type titanium-niobium-based (Ti-Nb) alloys, and the elastic stress near the α″ habit plane was estimated using a topological model of martensitic transformation (TM). The results indicate that the elastic stress near the α″ habit plane is too small to cause β to ω transformation. In addition, the {332} <113>_β twin is formed within the stress-induced α″ phase, and is closely related to the

{\left\{110\right\}}_{\beta }/{\left\{00\overline{1}\right\}}_{{\alpha }^{\prime \prime }}

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interfaces.

Keywords

titanium-niobium-based alloys / β to α″ phase transformation / β to ω phase transformation / elastic stress near the α″ habit plane / β/α″ interface

References

[1] WengW-J, BiesiekierskiA, LinJ-X, et al. . Development of beta-type Ti-Nb-Zr-Mo alloys for orthopedic applications [J]. Applied Materials Today, 2021, 22: 100968

[2] FarrahnoorA, ZuhailawatiH. Effects of hydroxyapatite addition on the bioactivity of Ti-Nb alloy matrix composite fabricated via powder metallurgy process [J]. Materials Today Communications, 2021, 27102209

[3] NishimuraN, Miura-FujiwaraE, YamasakiT. Effects of Nb content and heat treatment on fretting wear behavior of Ti-Nb alloys [J]. Materials Science Forum, 2021, 10161846-1850

[4] SalvadorC A F, Dal BoM R, LimaD D, et al. . Experimental and computational investigation of Ti-Nb-Fe-Zr alloys with limited Fe contents for biomedical applications [J]. Journal of Materials Science, 2021, 56(19): 11494-11510

[5] HanadaS, MasahashiN, SemboshiS, et al. . Low Young’s modulus of cold groove-rolled β Ti-Nb-Sn alloys for orthopedic applications [J]. Materials Science and Engineering A, 2021, 802: 140645

[6] da SilvaM R, GargarellaP, PlaineA H, et al. . Microstructural evolution and properties of a Ti-Nb-Ta-Zr-O prepared by high-pressure torsion [J]. Journal of Alloys and Compounds, 2021, 864158828

[7] ChaiY W, KimH Y, HosodaH, et al. . Interfacial defects in Ti-Nb shape memory alloys [J]. Acta Materialia, 2008, 56(13): 3088-3097

[8] LaiM J, TasanC C, RaabeD. On the mechanism of {332} twinning in metastable β titanium alloys [J]. Acta Materialia, 2016, 111173-186

[9] ZhouX-Y, MinX-H, EmuraS, et al. . Accommodative {332} <113> primary and secondary twinning in a slightly deformed β-type Ti-Mo titanium alloy [J]. Materials Science and Engineering A, 2017, 684: 456-465

[10] DubinskiyS, ProkoshkinS, BrailovskiV, et al. . In situ X-ray diffraction strain-controlled study of Ti-Nb-Zr and Ti-Nb-Ta shape memory alloys: Crystal lattice and transformation features [J]. Materials Characterization, 2014, 88: 127-142

[11] ShinS, ZhangC, VecchioK S. Phase stability dependence of deformation mode correlated mechanical properties and elastic properties in Ti-Nb gum metal [J]. Materials Science and Engineering A, 2017, 702: 173-183

[12] ChangL L, WangY D, RenY. In-situ investigation of stress-induced martensitic transformation in Ti-Nb binary alloys with low Young’s modulus [J]. Materials Science and Engineering A, 2016, 651: 442-448

[13] TallingR J, DashwoodR J, JacksonM, et al. . On the mechanism of superelasticity in gum metal [J]. Acta Materialia, 2009, 57(4): 1188-1198

[14] VorontsovV A, JonesN G, RahmanK M, et al. . Superelastic load cycling of gum metal [J]. Acta Materialia, 2015, 88: 323-333

[15] YaoT-T, DuK, WangH-L, et al. . Reversible twin boundary migration between α″ martensites in a Ti-Nb-Zr-Sn alloy [J]. Materials Letters, 2016, 182: 281-284

[16] MorrisJ W, HanlumyuangY, SherburneM, et al. . Anomalous transformation-induced deformation in <1 1 0> textured gum metal [J]. Acta Materialia, 2010, 58(9): 3271-3280

[17] ObbardE G, HaoY L, AkahoriT, et al. . Mechanics of superelasticity in Ti-30Nb-(8-10)Ta-5Zr alloy [J]. Acta Materialia, 2010, 58(10): 3557-3567

[18] NiinomiM, AkahoriT, NakaiM. In situ X-ray analysis of mechanism of nonlinear super elastic behavior of Ti-Nb-Ta-Zr system beta-type titanium alloy for biomedical applications [J]. Materials Science and Engineering C, 2008, 28(3): 406-413

[19] CastanyP, RamarolahyA, PrimaF, et al. . In situ synchrotron X-ray diffraction study of the martensitic transformation in superelastic Ti-24Nb-0.5N and Ti-24Nb-0.5O alloys [J]. Acta Materialia, 2015, 88: 102-111

[20] YaoT-T, DuK, WangH-L, et al. . In situ scanning and transmission electron microscopy investigation on plastic deformation in a metastable β titanium alloy [J]. Acta Materialia, 2017, 133: 21-29

[21] TallingR, DashwoodR, JacksonM, et al. . Determination of (C11-C12) in Ti-36Nb-2Ta-3Zr-0.3O (wt.%) (gum metal) [J]. Scripta Materialia, 2008, 59(6): 669-672

[22] XingH, SunJ, YaoQ, et al. . Origin of substantial plastic deformation in Gum metals [J]. Applied Physics Letters, 2008, 92: 151905

[23] LaiM J, TasanC C, ZhangJ, et al. . Origin of shear induced β to ω transition in Ti-Nb-based alloys [J]. Acta Materialia, 2015, 9255-63

[24] HanadaS, IzumiO. Transmission electron microscopic observations of mechanical twinning in metastable β titanium alloys [J]. Metallurgical Transactions A, 1986, 17(8): 1409-1420

[25] KuramotoS, FurutaT, HwangJ H, et al. . Plastic deformation in a multifunctional Ti-Nb-Ta-Zr-O alloy [J]. Metallurgical and Materials Transactions A, 2006, 37(3): 657-662

[26] SunF, ZhangJ Y, MarteleurM, et al. . Investigation of early stage deformation mechanisms in a metastable β titanium alloy showing combined twinning-induced plasticity and transformation-induced plasticity effects [J]. Acta Materialia, 2013, 61(17): 6406-6417

[27] ZhangJ Y, LiJ S, ChenZ, et al. . Microstructural evolution of a ductile metastable β titanium alloy with combined TRIP/TWIP effects [J]. Journal of Alloys and Compounds, 2017, 699: 775-782

[28] MaS-Y, ChenQ-J, ZhangW-Y, et al. . The properties of typical β/ω and β/α″ heterophase interfaces in β-Ti alloys from a first-principles insight [J]. Journal of Materials Science, 2022, 57(7): 4625-4642

[29] ZhouL-B, SunJ-S, ZhangR-Z, et al. . A new insight into the α phase precipitation in β titanium alloy [J]. Vacuum, 2021, 189: 110272

[30] PreislerD, JanovskáM, SeinerH, et al. . High-throughput characterization of elastic moduli of Ti-Nb-Zr-O biomedical alloys fabricated by field-assisted sintering technique [J]. Journal of Alloys and Compounds, 2023, 932167656

[31] LiQ, LiuY, YuH-H, et al. . Effect of O addition on microstructure and mechanical properties of Ti-Nb alloys with various β stability [J]. Vacuum, 2023, 215112311

[32] ZhuX-J, QianM-F, ZhangX-X, et al. . Superelasticity and elastocaloric effect in a textured Ti-Nb-Zr-Ta alloy with narrow stress hysteresis [J]. Journal of Alloys and Compounds, 2023, 956170291

[33] TaharaM, KimH Y, InamuraT, et al. . Lattice modulation and superelasticity in oxygen-added β-Ti alloys [J]. Acta Materialia, 2011, 59(16): 6208-6218

[34] ZhengY-F, AlamT, BanerjeeR, et al. . The influence of aluminum and oxygen additions on intrinsic structural instabilities in titanium-molybdenum alloys [J]. Scripta Materialia, 2018, 152150-153

[35] SuY-T, LiangC-X, SunX, et al. . Composition-dependent shuffle-shear coupling and shuffle-regulated strain glass transition in compositionally modulated Ti-Nb alloys [J]. Acta Materialia, 2023, 246: 118697

[36] LaiM J, TasanC C, RaabeD. Deformation mechanism of ω-enriched Ti-Nb-based gum metal: Dislocation channeling and deformation induced ω-β transformation [J]. Acta Materialia, 2015, 100290-300

[37] ZhouL-B, YuanT-C, LiR-D, et al. . Microstructure and mechanical performance tailoring of Ti-13Nb-13Zr alloy fabricated by selective laser melting after post heat treatment [J]. Journal of Alloys and Compounds, 2019, 775: 1164-1176

[38] WangX L, LiL, XingH, et al. . Role of oxygen in stress-induced ω phase transformation and {332}<113> mechanical twinning in β-Ti-20V alloy [J]. Scripta Materialia, 2015, 96: 37-40

[39] BertrandE, CastanyP, YangY, et al. . Deformation twinning in the full-α″ martensitic Ti-25Ta-20Nb shape memory alloy [J]. Acta Materialia, 2016, 105: 94-103

[40] ShinS, ZhuC-Y, VecchioK S. Observations on {332} twinning-induced softening in Ti-Nb Gum metal [J]. Materials Science and Engineering A, 2018, 724: 189-198

[41] NejezchlebováJ, JanovskáM, SeinerH, et al. . The effect of athermal and isothermal w phase particles on elasticity of β-Ti single crystals [J]. Acta Materialia, 2016, 110: 185-191

[42] DubinskiyS, KorotitskiyA, ProkoshkinS, et al. . In situ X-ray diffraction study of athermal and isothermal omega-phase crystal lattice in Ti-Nb-based shape memory alloys [J]. Materials Letters, 2016, 168: 155-157

[43] YangY, CastanyP, BertrandE, et al. . Stress release-induced interfacial twin boundary w phase formation in a β type Ti-based single crystal displaying stress-induced α″ martensitic transformation [J]. Acta Materialia, 2018, 149: 97-107

[44] PondR C, MaX, HirthJ P. Kinematic and topological models of martensitic interfaces [J]. Materials Science and Engineering A, 2006, 438–440: 109-112

[45] WeiZ-Z, MaX, ZhangX-P. Topological modelling of the B2-B19’ martensite transformation crystallography in NiTi alloy [J]. Acta Metallurgica Sinica, 2018, 54(10): 1461-1470

[46] ZhangJ, LiY-J, LiW. Metastable phase diagram on heating in quenched Ti-Nb high-temperature shape memory alloys [J]. Journal of Materials Science, 2021, 56(19): 11456-11468

[47] YaoY, WangT C. The modified Peierls-Nabarro model of interfacial misfit dislocation [J]. Acta Materialia, 1999, 47(10): 3063-3068

[48] YangY, LiG P, WangH, et al. . Formation of zigzag-shaped {112}<111>β mechanical twins in Ti-24.5Nb-0.7Ta-2Zr-1.4O alloy [J]. Scripta Materialia, 2012, 66(5): 211-214

[49] TaneM, NakanoT, KuramotoS, et al. . ω transformation in cold-worked Ti-Nb-Ta-Zr-O alloys with low body-centered cubic phase stability and its correlation with their elastic properties [J]. Acta Materialia, 2013, 61(1): 139-150

[50] WuS Q, PingD H, Yamabe-MitaraiY, et al. . {112} <111> twinning during ω to body-centered cubic transition [J]. Acta Materialia, 2014, 62: 122-128

[51] PondR C, MaX, HirthJ P. Geometrical and physical models of martensitic transformations in ferrous alloys [J]. Journal of Materials Science, 2008, 43(11): 3881-3888

[52] PondR C, CelottoS, HirthJ P. A comparison of the phenomenological theory of martensitic transformations with a model based on interfacial defects [J]. Acta Materialia, 2003, 51(18): 5385-5398

[53] ChaiY W, KimH Y, HosodaH, et al. . Self-accommodation in Ti-Nb shape memory alloys [J]. Acta Materialia, 2009, 57(14): 4054-4064

[54] MaX M, SunW. Characterization of deformation localization in cold-rolled metastable β-Ti-Nb-Ta-Zr alloy [J]. Journal of Alloys and Compounds, 2011, 509: S294-S298

[55] LuoX, LiD D, YangC, et al. . Circumventing the strength-ductility trade-off of β-type titanium alloys by defect engineering during laser powder bed fusion [J]. Additive Manufacturing, 2022, 51102640

[56] AfonsoC R M, FerrandiniP L, RamirezA J, et al. . High resolution transmission electron microscopy study of the hardening mechanism through phase separation in a β-Ti-35Nb-7Zr-5Ta alloy for implant applications [J]. Acta Biomaterialia, 2010, 6(4): 1625-1629