On the Prediction of Uniaxial Tensile Behavior Beyond the Yield Point of Wrought and Additively Manufactured Ti-6Al-4V
Tóm tắt
In this paper, phenomenological relationships are presented that permit the prediction of the plastic regime of stress–strain curves using a limited number of parameters. These relationships were obtained from both conventional (wrought + β annealed) and additively manufactured (i.e., “3D printed”) Ti-6Al-4V. Three different methods of additive manufacturing have been exploited to produce the materials, including large-volume electron beam additive manufacturing, large-volume laser hot wire additive manufacturing, and small-volume selective laser melting. The general fundamental expressions are independent not only of the additive manufacturing process, but also of a wide variety of post-deposition heat treatments, however the coefficients are specific to material states. Thus, this work demonstrates that it is possible to predict not only the ultimate tensile strength, but also the full true stress, true strain curves, if certain parameters of the material are known. In general, the prediction of ultimate tensile strength are within 5% of the experimentally measured values across all additive manufacturing variants and subsequent heat treatments. The absolute values of ultimate tensile strength range from ~ 910 MPa to ~ 1170 MPa for the single alloy Ti-6Al-4V. Data representing 113 explicit samples are included in this work.
Tài liệu tham khảo
Buynak CF, Blackshire J, Lindgren EA, Jata KV (2008) Challenges and opportunities in NDE, ISHM and material state awareness for aircraft structures: US air force perspective. In: AIP conference proceedings, 1789–1801. https://doi.org/10.1063/1.2902653
Jacobs LJ (2014) Nonlinear ultrasonics for material state awareness. In: AIP conference proceedings, 13–20. https://doi.org/10.1063/1.4864797
Aldrin JC, Lindgren EA (2017) The need and approach for characterization-U.S. air force perspectives on materials state awareness. Science. https://doi.org/10.1063/1.5031501
Hayes BJ, Martin BW, Welk B et al (2017) Predicting tensile properties of Ti-6Al-4V produced via directed energy deposition. Acta Mater 133:120–133. https://doi.org/10.1016/j.actamat.2017.05.025
Liu S, Shin YC (2019) Additive manufacturing of Ti6Al4V alloy: a review. Mater Des 164:107552. https://doi.org/10.1016/j.matdes.2018.107552
Ludwik P (1909) Elemente der Technologischen Mechanik. Springer, Berlin
Hollomon JH (1945) Tensile deformation. Trans Metall Soc AIME 162:268–290
Voce E (1948) The relationship between stress and strain for homogeneous deformation. J Inst Met 74:537–562
Swift HW (1952) Plastic instability under plane stress. J Mech Phys Solids 1:1–18. https://doi.org/10.1016/0022-5096(52)90002-1
Ghamarian I, Samimi P, Dixit V, Collins PC (2015) A constitutive equation relating composition and microstructure to properties in Ti-6Al-4V: as derived using a novel integrated computational approach. Metall Mater Trans A 46:5021–5037. https://doi.org/10.1007/s11661-015-3072-4
Ghamarian I, Hayes B, Samimi P et al (2016) Developing a phenomenological equation to predict yield strength from composition and microstructure in β processed Ti-6Al-4V. Mater Sci Eng A 660:172–180. https://doi.org/10.1016/j.msea.2016.02.052
Littlewood PD, Britton TB, Wilkinson AJ (2011) Geometrically necessary dislocation density distributions in Ti-6Al-4V deformed in tension. Acta Mater 59:6489–6500. https://doi.org/10.1016/j.actamat.2011.07.016
Babu B, Lindgren LE (2013) Dislocation density based model for plastic deformation and globularization of Ti-6Al-4V. Int J Plast 50:94–108. https://doi.org/10.1016/j.ijplas.2013.04.003
Gorsse S, Hutchinson C, Gouné M, Banerjee R (2017) Additive manufacturing of metals: a brief review of the characteristic microstructures and properties of steels, Ti-6Al-4V and high-entropy alloys. Sci Technol Adv Mater 18:584–610. https://doi.org/10.1080/14686996.2017.1361305
Sun H, Liang Y, Li G et al (2021) Dislocation hardening and phase transformation-induced high ductility in Ti-6Al-4V with a heterogeneous martensitic microstructure under tensile load. J Alloys Compd 868:159155. https://doi.org/10.1016/j.jallcom.2021.159155
Mecking H, Kocks UF (1981) Kinetics of flow and strain-hardening. Acta Metall 29:1865–1875. https://doi.org/10.1016/0001-6160(81)90112-7
Kocks UF, Mecking H (2003) Physics and phenomenology of strain hardening: The FCC case. Prog Mater Sci 48:171–273
Estrin Y, Molotnikov A, Davies CHJ, Lapovok R (2008) Strain gradient plasticity modelling of high-pressure torsion. J Mech Phys Solids 56:1186–1202. https://doi.org/10.1016/j.jmps.2007.10.004
Ahn DH, Kim HS, Estrin Y (2012) A semi-phenomenological constitutive model for hcp materials as exemplified by alpha titanium. Scr Mater 67:121–124. https://doi.org/10.1016/j.scriptamat.2012.03.037
Yasnikov IS, Vinogradov A, Estrin Y (2014) Revisiting the Considère criterion from the viewpoint of dislocation theory fundamentals. Scr Mater 76:37–40. https://doi.org/10.1016/j.scriptamat.2013.12.009
Vinogradov A, Yasnikov IS, Estrin Y (2015) Irreversible thermodynamics approach to plasticity: dislocation density based constitutive modelling. Mater Sci Technol (UK) 31:1664–1672. https://doi.org/10.1179/1743284715Y.0000000069
Yasnikov IS, Estrin Y, Vinogradov A (2017) What governs ductility of ultrafine-grained metals? A microstructure based approach to necking instability. Acta Mater 141:18–28. https://doi.org/10.1016/j.actamat.2017.08.069
Baker AH, Collins PC, Williams JC (2017) New nomenclatures for heat treatments of additively manufactured titanium alloys. JOM 69:1221–1227. https://doi.org/10.1007/s11837-017-2358-y
Collins PC, Welk B, Searles T et al (2009) Development of methods for the quantification of microstructural features in α + β-processed α/β titanium alloys. Mater Sci Eng A 508:174–182. https://doi.org/10.1016/j.msea.2008.12.038
Gorsse S, Miracle DB (2003) Mechanical properties of Ti-6Al-4V/TiB composites with randomly oriented and aligned TiB reinforcements. Acta Mater 51:2427–2442. https://doi.org/10.1016/S1359-6454(02)00510-4
Dryburgh P, Li W, Pieris D et al (2022) Measurement of the single crystal elasticity matrix of polycrystalline materials. Acta Mater. https://doi.org/10.1016/j.actamat.2021.117551
Estrin Y, Mecking H (1984) A unified phenomenological description of work hardening and creep based on one-parameter models. Acta Metall 32:57–70. https://doi.org/10.1016/0001-6160(84)90202-5
Keist JS, Nayir S, Palmer TA (2020) Impact of hot isostatic pressing on the mechanical and microstructural properties of additively manufactured Ti–6Al–4V fabricated using directed energy deposition. Mater Sci Eng A. https://doi.org/10.1016/j.msea.2020.139454
Brice CA, Tayon WA, Newman JA et al (2018) Effect of compositional changes on microstructure in additively manufactured aluminum alloy 2139. Mater Charact 143:50–58. https://doi.org/10.1016/j.matchar.2018.04.002
Ide JM (1935) Some dynamic methods for determination of Young’s modulus. Rev Sci Instrum 6:296–298. https://doi.org/10.1063/1.1751876
Majumdar P, Singh SB, Chakraborty M (2008) Elastic modulus of biomedical titanium alloys by nano-indentation and ultrasonic techniques-a comparative study. Mater Sci Eng A 489:419–425. https://doi.org/10.1016/j.msea.2007.12.029
Wang P, Todai M, Nakano T (2019) Beta titanium single crystal with bone-like elastic modulus and large crystallographic elastic anisotropy. J Alloys Compd 782:667–671. https://doi.org/10.1016/j.jallcom.2018.12.236