Top

Physics of Metals and Metallography

Published in:

29-12-2023 | STRENGTH AND PLASTICITY

Research Progress on Prediction Models of Plastic Deformation and Ductile Fracture of Titanium Alloy

Authors: Rui Feng, Minghe Chen, Lansheng Xie, Youlin Bao, Yan Ge

Published in: Physics of Metals and Metallography | Issue 13/2023

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

For further study the influence and role of yield criteria and ductile facture in the plastic deformation process of titanium alloy on subsequent forming processing and service. This review focuses on the damage mechanism and damage prediction model of titanium alloy, and discusses the influencing factors and prediction methods of damage evolution fracture model of alloy materials. Based on the unique mechanical behavior of titanium alloys derived from the HCP crystal structure, the yielding criteria developed for plastic forming of titanium alloys are summarised, with emphasis on the stress tensor invariant-based yielding criterion and the CPB06 yielding criterion, which satisfy both their anisotropy and tensile-compressive asymmetry. For the plastic forming process, the voids damage evolution mechanism is taken as the breakthrough point and a detailed classification of damage fracture prediction models for titanium alloys based on mechanical response. The uncoupled damage model, semi-coupled damage model and fully coupled damage model are discussed, and their application characteristics and advantages are analyzed, providing an effective means to achieve accurate prediction of shape size and tissue properties of titanium alloy components and optimisation of forming processes. Finally, the problems that still exist in the damage fracture model of titanium alloy plastic forming process are analyzed, and the future research direction of the plastic damage mechanics model and fracture prediction are prospected.

previous article Influence of Friction Stir Welding Speed on Barkhausen Noise Emission from Steel

next article Effect of Minor Sb Additions on Thermal Properties, Microstructure and Microhardness of Sn–Ag–Cu High-Temperature Solder Alloys

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

A. A. Popov, E. N. Popova, M. S. Karabanalov, N. A. Popov, K. I. Lugovaya, D. I. Davydov, and A. V. Korelin, “Formation processes of the α + α₂ structure in model pseudo-α-titanium alloys,” Phys. Met. Metallogr. 123, 507–512 (2022). https://doi.org/10.1134/s0031918x22050131ADSCrossRef

Q. Zhao, Q. Sun, S. Xin, Yo. Chen, C. Wu, H. Wang, J. Xu, M. Wan, W. Zeng, and Yo. Zhao, “High-strength titanium alloys for aerospace engineering applications: A review on melting-forging process,” Mater. Sci. Eng., A 845, 143260 (2022). https://doi.org/10.1016/j.msea.2022.143260CrossRef

O. I. Volchok, V. V. Kalinovskii, I. F. Kislyak, I. V. Kolodii, G. E. Storozhilov, N. V. Kamyshanchenko, and A. V. Gal’tsev, “Analysis of the structural state formed in titanium at the final severe plastic deformation stage,” Phys. Met. Metallogr. 121, 1021–1025 (2020). https://doi.org/10.1134/s0031918x20090100ADSCrossRef

E. Zhao, S. Sun, and Yu. Zhang, “Recent advances in silicon containing high temperature titanium alloys,” J. Mater. Res. Technol. 14, 3029–3042 (2021). https://doi.org/10.1016/j.jmrt.2021.08.117CrossRef

L. Kang and C. Yang, “A review on high-strength titanium alloys: Microstructure, strengthening, and properties,” Adv. Eng. Mater. 21, 1801359 (2019). https://doi.org/10.1002/adem.201801359CrossRef

V. A. Kumar, R. K. Gupta, M. Prasad, and S. V. Narayana Murty, “Recent advances in processing of titanium alloys and titanium aluminides for space applications: A review,” J Mater. Res. 36, 689–716 (2021). https://doi.org/10.1557/s43578-021-00104-wADSCrossRef

X. Zhang, Yo. Chen, and J. Hu, “Recent advances in the development of aerospace materials,” Prog. Aerosp. Sci. 97, 22–34 (2018). https://doi.org/10.1016/j.paerosci.2018.01.001ADSCrossRef

I. G. Zhevtun, P. S. Gordienko, S. B. Yarusova, Yu. N. Kul’chin, E. P. Subbotin, D. S. Pivovarov, and D. S. Yatsko, “Micro- and nanoporous structure formed on the titanium surface by laser treatment,” Phys. Met. Metallogr. 119, 491–496 (2018). https://doi.org/10.1134/s0031918x18030134ADSCrossRef

C. Lan, Yu. Wu, L. Guo, H. Chen, and F. Chen, “Microstructure, texture evolution and mechanical properties of cold rolled Ti–32.5Nb–6.8Zr–2.7Sn biomedical beta titanium alloy,” J. Mater. Sci. Technol. 34, 788–792 (2018). https://doi.org/10.1016/j.jmst.2017.04.017CrossRef

10.

G. Annamaria, K. Michele, M. Filomeno, and M. Mehrshad, “Metal additive manufacturing in the commercial aviation industry: A review,” J Manuf. Syst. 53, 124–149 (2019). https://doi.org/10.1016/j.jmsy.2019.08.005CrossRef

11.

L. Li, L. Sun, and A. Li, “Diffusion bonding of dissimilar titanium alloys via surface nanocrystallization treatment,” J. Mater. Res. Technol. 17, 1274–1288 (2022). https://doi.org/10.1016/j.jmrt.2022.01.077CrossRef

12.

Z. Kloenne, G. Viswanathan, S. Fox, M. Loretto, and H. L. Fraser, “Interface and colony boundary sliding as a deformation mechanism in a novel titanium alloy,” Scr. Mater. 178, 418–421 (2020). https://doi.org/10.1016/j.scriptamat.2019.11.063CrossRef

13.

A. Gheysarian and M. Abbasi, “The effect of aging on microstructure, formability and springback of Ti–6Al–4V titanium alloy,” J. Mater. Eng. Perform. 26, 374–382 (2017). https://doi.org/10.1007/s11665-016-2431-7CrossRef

14.

J. L. Chaboche, “Anisotropic creep damage in the framework of continuum damage mechanics,” Nucl. Eng. Des. 79, 309–319 (1984). https://doi.org/10.1016/0029-5493(84)90046-3CrossRef

15.

J. Lee, S.-J. Kim, H. Park, H. J. Bong, and D. Kim, “Metal plasticity and ductile fracture modeling for cast aluminum alloy parts,” J. Mater. Process. Technol. 255, 584–595 (2018). https://doi.org/10.1016/j.jmatprotec.2017.12.040CrossRef

16.

D. Reddi, V. K. Areej, and S. M. Keralavarma, “Ductile failure simulations using a multi-surface coupled damage-plasticity model,” Int. J. Plast. 118, 190–214 (2019). https://doi.org/10.1016/j.ijplas.2019.02.007CrossRef

17.

Z. Yue, X. Min, Z. Tuo, C. Soyarslan, X. Zhuang, H. Badreddine, K. Saanouni, and J. Gao, “Broad stress triaxiality ratio band fracture experiments in DP900 metal sheets and corresponding predictive capability of advanced phenomenological and micromechanical fully coupled damage models,” Mater. Sci. Eng., A 811, 140978 (2021). https://doi.org/10.1016/j.msea.2021.140978CrossRef

18.

C. Tasan, J. Hoefnagels, M. Diehl, D. Yan, F. Roters, and D. Raabe, “Strain localization and damage in dual phase steels investigated by coupled in-situ deformation experiments and crystal plasticity simulations,” Int. J. Plast. 63, 198–210 (2014). https://doi.org/10.1016/j.ijplas.2014.06.004CrossRef

19.

T. Matsuno, C. Teodosiu, D. Maeda, and A. Uenishi, “Mesoscale simulation of the early evolution of ductile fracture in dual-phase steels,” Int. J. Plast. 74, 17–34 (2015). https://doi.org/10.1016/j.ijplas.2015.06.004CrossRef

20.

H. Badreddine, K. Saanouni, and A. Dogui, “On non-associative anisotropic finite plasticity fully coupled with isotropic ductile damage for metal forming,” Int. J. Plast. 26, 1541–1575 (2010). https://doi.org/10.1016/j.ijplas.2010.01.008CrossRef

21.

W. Yi. Wang, J. Lin, W. Liu, and Z.-K. Liu, “Integrated computational materials engineering for advanced materials: A brief review,” Comput. Mater. Sci. 158, 42–48 (2019). https://doi.org/10.1016/j.commatsci.2018.11.001CrossRef

22.

M. Diehl, M. Groeber, C. Haase, D. A. Molodov, F. Roters, and D. Raabe, “Identifying structure–property relationships through DREAM.3D representative volume elements and damask crystal plasticity simulations: An integrated computational materials engineering approach,” JOM 69, 848–855 (2017). https://doi.org/10.1007/s11837-017-2303-0ADSCrossRef

23.

T. Kuwabara, A. Van Bael, and E. Iizuka, “Measurement and analysis of yield locus and work hardening characteristics of steel sheets wtih different r-values,” Acta Mater. 50, 3717–3729 (2002). https://doi.org/10.1016/s1359-6454(02)00184-2ADSCrossRef

24.

R. Hill, “Constitutive modelling of orthotropic plasticity in sheet metals,” J. Mech. Phys. Solids 38, 405–417 (1990). https://doi.org/10.1016/0022-5096(90)90006-pADSMathSciNetCrossRef

25.

T. B. Stoughton and J.-W. Yoon, “A pressure-sensitive yield criterion under a non-associated flow rule for sheet metal forming,” Int. J. Plast. 20, 705–731 (2004). https://doi.org/10.1016/s0749-6419(03)00079-2CrossRef

26.

T. Wierzbicki, Yi. Bao, Yo.-W. Lee, and Yu. Bai, “Calibration and evaluation of seven fracture models,” Int. J. Mech. Sci. 47, 719–743 (2005). https://doi.org/10.1016/j.ijmecsci.2005.03.003CrossRef

27.

T. Park and K. Chung, “Non-associated flow rule with symmetric stiffness modulus for isotropic-kinematic hardening and its application for earing in circular cup drawing,” Int. J. Solids Struct. 49, 3582–3593 (2012). https://doi.org/10.1016/j.ijsolstr.2012.02.015CrossRef

28.

V. Tuninetti, G. Gilles, O. Milis, T. Pardoen, and A. M. Habraken, “Anisotropy and tension–compression asymmetry modeling of the room temperature plastic response of Ti–6Al–4V,” Int. J. Plast. 67, 53–68 (2015). https://doi.org/10.1016/j.ijplas.2014.10.003CrossRef

29.

J. W. Yoon, Ya. Lou, J. Yoon, and M. V. Glazoff, “Asymmetric yield function based on the stress invariants for pressure sensitive metals,” Int. J. Plast. 56, 184–202 (2014). https://doi.org/10.1016/j.ijplas.2013.11.008CrossRef

30.

H. Li, X. Hu, H. Yang, and L. Li, “Anisotropic and asymmetrical yielding and its distorted evolution: Modeling and applications,” Int. J. Plast. 82, 127–158 (2016). https://doi.org/10.1016/j.ijplas.2016.03.002CrossRef

31.

D. C. Drucker, “Relation of experiments to mathematical theories of plasticity,” J. Appl. Mech. 16, 349–357 (1949). https://doi.org/10.1115/1.4010009ADSMathSciNetCrossRef

32.

O. Cazacu and F. Barlat, “A criterion for description of anisotropy and yield differential effects in pressure-insensitive metals,” Int. J. Plast. 20, 2027–2045 (2004). https://doi.org/10.1016/j.ijplas.2003.11.021CrossRef

33.

M. E. Nixon, O. Cazacu, and R. A. Lebensohn, “Anisotropic response of high-purity α-titanium: Experimental characterization and constitutive modeling,” Int. J. Plast. 26, 516–532 (2010). https://doi.org/10.1016/j.ijplas.2009.08.007CrossRef

34.

S. Ghosh and M. Anahid, “Homogenized constitutive and fatigue nucleation models from crystal plasticity FE simulations of Ti alloys, Part 1: Macroscopic anisotropic yield function,” Int. J. Plast. 47, 182–201 (2013). https://doi.org/10.1016/j.ijplas.2012.12.008CrossRef

35.

O. Cazacu, B. Plunkett, and F. Barlat, “Orthotropic yield criterion for hexagonal closed packed metals,” Int. J. Plast. 22, 1171–1194 (2006). https://doi.org/10.1016/j.ijplas.2005.06.001CrossRef

36.

B. Plunkett, O. Cazacu, and F. Barlat, “Orthotropic yield criteria for description of the anisotropy in tension and compression of sheet metals,” Int. J. Plast. 24, 847–866 (2008). https://doi.org/10.1016/j.ijplas.2007.07.013CrossRef

37.

G. Gilles, W. Hammami, V. Libertiaux, O. Cazacu, J. H. Yoon, T. Kuwabara, A. Habraken, and L. Duchêne, “Experimental characterization and elasto-plastic modeling of the quasi-static mechanical response of TA-6V at room temperature,” Int. J. Solids Struct. 48, 1277–1289 (2011). https://doi.org/10.1016/j.ijsolstr.2011.01.011CrossRef

38.

M. Baral, T. Hama, E. Knudsen, and Ya. P. Korkolis, “Plastic deformation of commercially-pure titanium: Experiments and modeling,” Int. J. Plast. 105, 164–194 (2018). https://doi.org/10.1016/j.ijplas.2018.02.009CrossRef

39.

F. Ozturk and D. Lee, “Analysis of forming limits using ductile fracture criteria,” J. Mater. Process. Technol. 147, 397–404 (2004). https://doi.org/10.1016/j.jmatprotec.2004.01.014CrossRef

40.

F. A. McClintock, “A criterion for ductile fracture by the growth of holes,” J. Appl. Mech. 35, 363–371 (1968). https://doi.org/10.1115/1.3601204ADSCrossRef

41.

J. Sun, Z. Deng, and M. Tu, “Effect of stress triaxiality levels in crack tip regions on the characteristics of void growth and fracture criteria,” Eng. Fract. Mech. 39, 1051–1060 (1991). https://doi.org/10.1016/0013-7944(91)90112-eCrossRef

42.

G. La Rosa, G. Mirone, and A. Risitano, “Effect of stress triaxiality corrected plastic flow on ductile damage evolution in the framework of continuum damage mechanics,” Eng. Fract. Mech. 68, 417–434 (2001). https://doi.org/10.1016/S0013-7944(00)00109-0CrossRef

43.

M. Cockcroft and D. Latham, “Ductility and the workability of metals,” J. Inst. Met. 96, 33–39 (1968).

44.

S. I. Oh, C. C. Chen, and S. Kobayashi, “Ductile fracture in axisymmetric extrusion and drawing—Part 2: Workability in extrusion and drawing,” J. Eng. Ind. 101, 36–44 (1979). https://doi.org/10.1115/1.3439471CrossRef

45.

P. Brozzo, B. Deluca, and R. Rendina, “A new method for the prediction of formability in metal sheets,” in Sheet Material Forming and Formability (IDDRG, Amsterdam, 1972), pp. 112–115.

46.

M. Oyane, T. Sato, K. Okimoto, and S. Shima, “Criteria for ductile fracture and their applications,” J. Mech. Working Technol. 4, 65–81 (1980). https://doi.org/10.1016/0378-3804(80)90006-6CrossRef

47.

Y. K. Ko, J. S. Lee, H. Huh, H. K. Kim, and S. H. Park, “Prediction of fracture in hub-hole expanding process using a new ductile fracture criterion,” J. Mater. Process. Technol. 187–188, 358–362 (2006). https://doi.org/10.1016/j.jmatprotec.2006.11.071CrossRef

48.

A. M. Frudenthal, The Inelastic Behavior of Metals (Wiley, New York, 1950).

49.

D. J. Unger, “Path independent integral for an elliptical hole in a plate under tension for plane stress deformation theory,” J. Elasticity 92, 217–226 (2008). https://doi.org/10.1007/s10659-008-9159-zADSMathSciNetCrossRef

50.

D. Yao, L. Cai, and C. Bao, “A new fracture criterion for ductile materials based on a finite element aided testing method,” Mater. Sci. Eng., A 673, 633–647 (2016). https://doi.org/10.1016/j.msea.2016.06.076CrossRef

51.

P. Wai Myint, S. Hagihara, T. Tanaka, S. Taketomi, and Yu. Tadano, “Determination of the values of critical ductile fracture criteria to predict fracture initiation in punching processes,” J. Manuf. Mater. Process. 1, 12 (2017). https://doi.org/10.3390/jmmp1020012CrossRef

52.

N. K. Park, J. T. Yeom, and Y. S. Na, “Deformation behavior and microstructure evolutions in Ti–6Al–4V extrusion,” Mater. Sci. Forum 13, 1177–1181 (2003). https://doi.org/10.1089/10507250360731596

53.

H. Ma, W. Xu, B. Jin, D. Shan, and S. Nutt, “Damage evaluation in tube spinnability test with ductile fracture criteria,” Int. J. Mech. Sci. 100, 99–111 (2015). https://doi.org/10.1016/j.ijmecsci.2015.06.005CrossRef

54.

G.-Z. Quan, Z.-Y. Zou, D.-S. Wu, and J.-T. Liang, “Prediction of ductile fracture initiation for Ti–10V–2Fe–3Al alloy by compressions at different temperatures and strain rates,” Mater. at High Temps 33, 6–14 (2015). https://doi.org/10.1179/1878641315y.0000000013

55.

M. S. Mirza, D. C. Barton, and P. Church, “The effect of stress triaxiality and strain-rate on the fracture characteristics of ductile metals,” J. Mater. Sci. 31, 453–461 (1996). https://doi.org/10.1007/bf01139164ADSCrossRef

56.

A. M. Beese, M. Luo, Ya. Li, Yu. Bai, and T. Wierzbicki, “Partially coupled anisotropic fracture model for aluminum sheets,” Eng. Fract. Mech. 77, 1128–1152 (2010). https://doi.org/10.1016/j.engfracmech.2010.02.024CrossRef

57.

Yi. Bao and T. Wierzbicki, “On fracture locus in the equivalent strain and stress triaxiality space,” Int. J. Mech. Sci. 46, 81–98 (2004). https://doi.org/10.1016/j.ijmecsci.2004.02.006CrossRef

58.

Yu. Bai and T. Wierzbicki, “A new model of metal plasticity and fracture with pressure and Lode dependence,” Int. J. Plast. 24, 1071–1096 (2008). https://doi.org/10.1016/j.ijplas.2007.09.004CrossRef

59.

Ya. Lou and H. Huh, “Evaluation of ductile fracture criteria in a general three-dimensional stress state considering the stress triaxiality and the lode parameter,” Acta Mech. Solida Sin. 26, 642–658 (2013). https://doi.org/10.1016/s0894-9166(14)60008-2CrossRef

60.

Ya. Lou, H. Huh, S. Lim, and K. Pack, “New ductile fracture criterion for prediction of fracture forming limit diagrams of sheet metals,” Int. J. Solids Struct. 49, 3605–3615 (2012). https://doi.org/10.1016/j.ijsolstr.2012.02.016CrossRef

61.

J. D. Bressan, Q. Wang, E. Simonetto, A. Ghiotti, and S. Bruschi, “Formability prediction of Ti6Al4V titanium alloy sheet deformed at room temperature and 600°C,” Int. J. Mater. Form. 14, 391–405 (2020). https://doi.org/10.1007/s12289-020-01546-zCrossRef

62.

B. Tang, Q. Wang, N. Guo, X. Li, Q. Wang, A. Ghiotti, S. Bruschi, and Z. Luo, “Modeling anisotropic ductile fracture behavior of Ti–6Al–4V titanium alloy for sheet forming applications at room temperature,” Int. J. Solids Struct. 207, 178–195 (2020). https://doi.org/10.1016/j.ijsolstr.2020.10.011CrossRef

63.

J. Huang, Ya. Guo, D. Qin, Z. Zhou, D. Li, and Yu. Li, “Influence of stress triaxiality on the failure behavior of Ti–6Al–4V alloy under a broad range of strain rates,” Theor. Appl. Fract. Mech. 97, 48–61 (2018). https://doi.org/10.1016/j.tafmec.2018.07.008CrossRef

64.

S. Zhang, W. Ding, K. Li, and S. Song, “Prediction of ductile fracture for DP590 high-strength steel with a new semi-coupled ductile fracture criterion,” J. Braz. Soc. Mech. Sci. Eng. 44, 1–21 (2022). https://doi.org/10.1007/s40430-021-03275-zCrossRef

65.

F. A. McClintock, “A criterion for ductile fracture by the growth of holes,” J. Appl. Mech. 35, 363–371 (1968). https://doi.org/10.1115/1.3601204ADSCrossRef

66.

J. R. Rice and D. M. Tracey, “On the ductile enlargement of voids in triaxial stress fields*,” J. Mech. Phys. Solids 17, 201–217 (1969). https://doi.org/10.1016/0022-5096(69)90033-7ADSCrossRef

67.

Ya. Lou, J. W. Yoon, and H. Huh, “Modeling of shear ductile fracture considering a changeable cut-off value for stress triaxiality,” Int. J. Plast. 54, 56–80 (2014). https://doi.org/10.1016/j.ijplas.2013.08.006CrossRef

68.

Ya. Lou, L. Chen, T. Clausmeyer, A. Tekkaya, and J. Yoon, “Modeling of ductile fracture from shear to balanced biaxial tension for sheet metals,” Int. J. Solids Struct. 112, 169–184 (2017). https://doi.org/10.1016/j.ijsolstr.2016.11.034CrossRef

69.

Z. Zhang, Ya. Wu, and F. Huang, “Extension of a shear-controlled ductile fracture criterion by considering the necking coalescence of voids,” Int. J. Solids Struct. 236–237, 111324 (2022). https://doi.org/10.1016/j.ijsolstr.2021.111324CrossRef

70.

H. Yang, H. Li, H. Sun, Y. H. Zhang, X. Liu, M. Zhan, Y. L. Liu, and M. W. Fu, “Anisotropic plasticity and fracture of alpha titanium sheets from cryogenic to warm temperatures,” Int. J. Plast. 156, 103348 (2022). https://doi.org/10.1016/j.ijplas.2022.103348CrossRef

71.

J. Lemaitre and J. Dufailly, “Damage measurements,” Eng. Fract. Mech. 28, 643–661 (1987). https://doi.org/10.1016/0013-7944(87)90059-2CrossRef

72.

L. M. Kachanov, “On creep rupture time,” Izv. Akad. Nauk SSSR, Otd. Tech. Nauk, No. 8, 26–31 (1958).

73.

J. Lemaitre, “A continuous damage mechanics model for ductile fracture,” J. Eng. Mater. Technol. 107, 83–89 (1985). https://doi.org/10.1115/1.3225775CrossRef

74.

J. Lemaitre, “Coupled elasto-plasticity and damage constitutive equations,” Comput. Methods Appl. Mech. Eng. 51, 31–49 (1985). https://doi.org/10.1016/0045-7825(85)90026-xADSCrossRef

75.

K. Saanouni, Damage Mechanics in Metal Forming: Advanced Modeling and Numerical Simulation (ISTE, 2013).

76.

A. V. Makarov, R. A. Savrai, V. M. Schastlivtsev, T. I. Tabatchikova, and L. Yu. Egorova, “Mechanical properties and fracture upon static tension of the high-carbon steel with different types of pearlite structure,” Phys. Met. Metallogr. 104, 522–534 (2007). https://doi.org/10.1134/s0031918x07110129ADSCrossRef

77.

K. Zhang, H. Badreddine, Z. Yue, N. Hfaiedh, K. Saanouni, and J. Liu, “Failure prediction of magnesium alloys based on improved CDM model,” Int. J. Solids Struct. 217–218, 155–177 (2021). https://doi.org/10.1016/j.ijsolstr.2021.01.013CrossRef

78.

G. V. Klevtsov, L. R. Botvina, N. A. Klevtsova, and L. V. Limarâ, Fractodiagnostics of the Destruction of Metallic Materials and Structures (Mosk. Inst. Stali i Splavov, Moscow, 2007).

79.

G. V. Klevtsov, R. Z. Valiev, N. A. Klevtsova, I. N. Pigaleva, E. D. Merson, M. L. Linderov, and A. V. Ganeev, “The strength and fracture mechanism of unalloyed medium-carbon steel with ultrafine-grained structure under single loads,” Phys. Met. Metallogr. 119, 1004–1012 (2018). https://doi.org/10.1134/s0031918x18100071ADSCrossRef

80.

A. N. Petrova, I. G. Brodova, I. G. Shirinkina, E. A. Lyapunova, and O. B. Naimark, “Influence of grain size on the mechanism of fracture of the aluminum alloy V95,” Phys. Met. Metallogr. 113, 726–731 (2012). https://doi.org/10.1134/s0031918x12070101ADSCrossRef

81.

K. Zhang, H. Badreddine, and K. Saanouni, “Ductile fracture prediction using enhanced CDM model with Lode angle-dependency for titanium alloy Ti–6Al–4V at room temperature,” J. Mater. Process. Technol. 277, 116462 (2020). https://doi.org/10.1016/j.jmatprotec.2019.116462CrossRef

82.

A. L. Gurson, “Continuum theory of ductile rupture by void nucleation and growth. Part I.—Yield criteria and flow rules for porous ductile media,” J. Eng. Mater. Technol. 99, 2–15 (1977). https://doi.org/10.1115/1.3443401CrossRef

83.

V. Tvergaard, “Influence of voids on shear band instabilities under plane strain conditions,” Int. J. Fract. 17, 389–407 (1981). https://doi.org/10.1007/bf00036191CrossRef

84.

V. Tvergaard and A. Needleman, “Analysis of the cup-cone fracture in a round tensile bar,” Acta Metall. 32, 157–169 (1984). https://doi.org/10.1016/0001-6160(84)90213-xCrossRef

85.

K. Nahshon and J. W. Hutchinson, “Modification of the Gurson model for shear failure,” Eur. J. Mech. A/Solids 27, 1–17 (2008). https://doi.org/10.1016/j.euromechsol.2007.08.002ADSCrossRef

86.

L. Xue, “Damage accumulation and fracture initiation in uncracked ductile solids subject to triaxial loading,” Int. J. Solids Struct. 44, 5163–5181 (2007). https://doi.org/10.1016/j.ijsolstr.2006.12.026CrossRef

87.

K. L. Nielsen and V. Tvergaard, “Ductile shear failure or plug failure of spot welds modelled by modified Gurson model,” Eng. Fract. Mech. 77, 1031–1047 (2010). https://doi.org/10.1016/j.engfracmech.2010.02.031CrossRef

88.

H. J. Bong, D. Kim, Yo.-N. Kwon, and J. Lee, “Predicting hot deformation behaviors under multiaxial loading using the Gurson–Tvergaard–Needleman damage model for Ti–6Al–4V alloy sheets,” Eur. J. Mech. A/Solids 87, 104227 (2021). https://doi.org/10.1016/j.euromechsol.2021.104227ADSCrossRef

89.

P. F. Gao, J. Guo, M. Zhan, Z. N. Lei, and M. W. Fu, “Microstructure and damage based constitutive modelling of hot deformation of titanium alloys,” J. Alloys Compd. 831, 154851 (2020). https://doi.org/10.1016/j.jallcom.2020.154851CrossRef

90.

J. Fu, H. Li, X. Song, and M. W. Fu, “Multi-scale defects in powder-based additively manufactured metals and alloys,” J. Mater. Sci. Technol. 122, 165–199 (2022). https://doi.org/10.1016/j.jmst.2022.02.015CrossRef

Title: Research Progress on Prediction Models of Plastic Deformation and Ductile Fracture of Titanium Alloy
Authors: Rui Feng
Minghe Chen
Lansheng Xie
Youlin Bao
Yan Ge
Publication date: 29-12-2023
Publisher: Pleiades Publishing
Published in: Physics of Metals and Metallography / Issue 13/2023
Print ISSN: 0031-918X
Electronic ISSN: 1555-6190
DOI: https://doi.org/10.1134/S0031918X2260110X

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Springer Professional "Technik"

Other articles of this Issue 13/2023

Ti-Alloying Effect on Crystallization Behavior of Zr72.5Al10Fe17.5 Metallic Glass

Effect of Self-Inoculation Treatment on Microstructure and Mechanical Properties of Eutectic Al–Si Alloy

Effect of Platinum Addition on Microstructure and Oxidation Behavior of Ni3Al-Base Alloys

Strengthening Mechanisms of Rails’ Surface in Ultra Long-Term Operation

Microstructure Characteristic and Evolution Mechanism of Cu–Ni–P Alloys under Different Cooling Rate

Wear Performances of Hypereutectoid P/M Steels Subjected to Different Heat Treatments