journal article·2021-05Open access

Formability prediction of Ti6Al4V titanium alloy sheet deformed at room temperature and 600 °C

José Divo Bressan, Qiaoling Wang, Enrico Simonetto, Andrea Ghiotti, Stefania Bruschi

Abstract

Formability predictions of Ti6Al4V titanium alloy sheets deformed at room temperature and 600 °C, using D-Bressan’s shear stress rupture criterion and the critical strain gradient macroscopic modelling are presented and discussed in relation to limit strain results obtained experimentally. Ti6Al4V Forming Limit Strain Curves were predicted and compared with experimental curves at 25 °C and 600 °C and strain rate 0.1 s−1. The analytical models were calibrated by means of tensile tests performed on samples cut at 0°, 45° and 90° to the rolling direction at different temperatures and strain rates to obtain the Lankford coefficients and material strain and strain rate hardening behavior. The applied critical shear stress rupture criterion showed to give a fairly good fit with experimental limit strains outcomes, proving that the shear stress rupture nature of specimens deformed at room and elevated temperatures were well reproduced, despite a not-null strain rate sensitivity coefficient at 600 °C. Fracture occurrence by fast shear stress mechanism through thickness direction was corroborated by experimental fractograph observations close to fracture surfaces. It was shown that predicted limiting major true strain of fracture by shear stress curve is governed by normal anisotropy, strain hardening exponent, pre-strain and normalized critical shear stress parameter, which depends on temperature and strain rate whereas the strain hardening exponent depends largely on temperature. In contrast, the critical strain gradient modelling for onset of localized necking showed poor correlation with the experimental limit strains. Best fit of the critical shear stress criterion with experimental limit strain curves was given by specimens deformed near plane strain or FLCo. Hence, a common feature of various strain-rate independent metals, annealed or cold rolled, is that the main fracture mechanism of thin sheet metals can be considered as fast shear stress through sheet thickness without a visible localized necking in biaxial stretching.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Metal Forming Simulation Techniques · Metallurgy and Material Forming · Microstructure and mechanical properties

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (48)

Show source-provided references
1. Verlinden B, Driver J, Samajdar I, Doherty RD (2007) Thermo-Mechanical Processing of Metallic Materials. In: Cahn RW (ed) . Elsevier, Oxford
2. Leyens C, Peters M (2003) Titanium and titanium alloys. Wiley, Weinheim10.1002/3527602119 ↗
3. Xiaoqiang L, Guiqiang G, Xiao J, Song N, Dongsheng L (2014) Constitutive modeling and the effects of strain-rate and temperature on the formability of Ti–6Al–4V alloy sheet. Mater Des 55:325–33410.1016/j.matdes.2013.09.069 ↗
4. Kotkunde N, Krishna G, Shenoy SK, Gupta AK, Singh SK (2017) Experimental and theoretical investigation of forming limit diagram for Ti-6Al-4 V alloy at warm condition. Int J Mater Form 10(2):255–26610.1007/s12289-015-1274-3 ↗
5. Wang Q, Bruschi S, Ghiotti A, Mu Y (2019) Modelling of fracture occurrence in Ti6Al4V sheets at elevated temperature accounting for anisotropic behaviour. Int J Mech Sci 150:471–483. https://doi.org/10.1016/j.ijmecsci.2018.10.04510.1016/j.ijmecsci.2018.10.045 ↗
6. Valoppi B, Bruschi S, Ghiotti A (2017) High-temperature mechanical properties and constitutive modelling of Ti6Al4V sheets. Materials Science Forum. Trans tech publications. Switzerland. 879:2020–202510.4028/www.scientific.net/MSF.879.2020 ↗
7. Bressan JD, Bruschi S, Ghiotti A (2016) Prediction of limit strains in hot forming of aluminium alloy sheets. Int J Mech Sci 115-116:702–71010.1016/j.ijmecsci.2016.07.040 ↗
8. Bruschi S, Altan T, Banabic D, Bariani PF, Brosius A, Cao J, Ghiotti A, Khraisheh M, Merklein M, Tekkaya AE (2014) Testing and modelling of material behaviour and formability in sheet metal forming. CIRP Ann Manuf Technol 63:727–74910.1016/j.cirp.2014.05.005 ↗
9. Bariani PF, Bruschi S, Ghiotti A, Turetta A (2008) Testing formability in the hot stamping of HSS. CIRP Ann Manuf Technol 57:265–26810.1016/j.cirp.2008.03.049 ↗
10. Wierzbicki T, Bao Y, Lee YW, Bai Y (2005) Calibration and evaluation of seven fracture models. Int J Mech Sci 47:719–743. https://doi.org/10.1016/j.ijmecsci.2005.03.00310.1016/j.ijmecsci.2005.03.003 ↗
11. Lian JH, Shen FH, Jia XX, Ahn DC, Chae DC, Münstermann S, Bleck W (2018) An evolving non-associated Hill48 plasticity model accounting for anisotropic hardening and r-value evolution and its application to forming limit prediction. Int J Solids Struct 151:20–4410.1016/j.ijsolstr.2017.04.007 ↗
12. Banabic D, Barlat F, Cazacu O, Kuwabara T (2010) Advances in anisotropy and formability. Int J Mater Form 3:165–18910.1007/s12289-010-0992-9 ↗
13. Li XQ, Song N, Guo GQ, Sun ZG (2013) Prediction of forming limit curve (FLC) for Al–Li alloy 2198-T3 sheet using different yield functions. Chin J Aeronaut 26:1317–132310.1016/j.cja.2013.04.011 ↗
14. Turetta A, Bruschi S, Ghiotti A (2006) Investigation of 22MnB5 formability in hot stamping operations. J Mater Process Technol 177:396–40010.1016/j.jmatprotec.2006.04.041 ↗
15. Bariani PF, Bruschi S, Ghiotti A, Michieletto F (2013) Hot stamping of AA5083 aluminium alloy sheets. CIRP Ann Manuf Technol 62:251–25410.1016/j.cirp.2013.03.050 ↗
16. Tang BT, Bruschi S, Ghiotti A, Bariani PF (2016) An improved damage evolution model to predict fracture of steel sheet at elevated temperature. J Mater Process Technol 228:76–8710.1016/j.jmatprotec.2015.08.007 ↗
17. Haoxiang G, Omer EF, Liliang W, Denis JP, Zhiqiang L (2017) Forming limit prediction for hot stamping processes featuring non-isothermal and complex loading conditions. Int J Mech Sci 131–132:792–810
18. Valoppi B, Bruschi S, Ghiotti A (2016) Modelling of fracture onset in Ti6Al4V sheets deformed at elevated temperature. Procedia Manufacturing 5:248–25810.1016/j.promfg.2016.08.022 ↗
19. Xu L, Barlat F, Ahn DC, Bressan JD (2011) Forming limit and fracture mechanism of ferritic stainless steel sheets. Mater Sci Eng A 528:3113–312110.1016/j.msea.2011.01.011 ↗
20. Graf A, Hosford WF (1994) The influence of strain-path changes on forming limit diagrams of Al 6111 T4. Int J Mech Sci 36(10):897–91010.1016/0020-7403(94)90053-1 ↗
21. Graf A, Hosford WF (1993) Effect of changing strain paths on forming limit diagram of Al 2008-T4. Metall Trans A 24A:2503–251210.1007/BF02646529 ↗
22. Yoshida K, Kuwabara T, Kuroda M (2007) Path-dependence of the forming limit stresses in a sheet metal. Int J of Plast 23:361–38410.1016/j.ijplas.2006.05.005 ↗
23. Stoughton TB, Yoon JW (2012) Path independent forming limits in strain and stress spaces. Int J Sol and Struct 49:3616–362510.1016/j.ijsolstr.2012.08.004 ↗
24. Hill R (1952) On discontinuous plastic states, with special reference to localised necking in thin sheets. J Mech and Phys of Solids 1:19–3010.1016/0022-5096(52)90003-3 ↗
25. Keeler SP (1965) Determination of forming limits in automotive stampings. Sheet Metal Industries:683–69110.4271/650535 ↗
26. Marciniak Z, Kuczynski K (1967) Limit strains in the process of stretch-forming sheet metal. Int J Mech Sci 9:609–62010.1016/0020-7403(67)90066-5 ↗
27. Banabic D, Kami A, Comsa D-S, Eyckens P, Developments of the Marciniak-Kuczynski model for sheet metal formability: A review. J Mater Process Technol, 19 Oct 2019, In Press.doi: https://doi.org/10.1016/j.jmatprotec.2019.11644610.1016/j.jmatprotec.2019.116446 ↗
28. Ghosh AK (1976) A criterion for ductile fracture in sheets under biaxial loading. Metall Trans A 7A:523–54110.1007/BF02643968 ↗
29. Jain M, Allin J, Lloyd DJ (1999) Fracture limit prediction using ductile fracture criteria for forming of an automotive aluminum sheet. Int J Mech Sci 41:1273–128810.1016/S0020-7403(98)00070-8 ↗
30. Li Y, Luo M, Gerlach J, Wierzbicki T (2010) Prediction of shear-induced fracture in sheet metal forming. J Mat Process Tech 210:1858–186910.1016/j.jmatprotec.2010.06.021 ↗
31. Stoughton TB, Zhu X (2004) Review of theoretical models of the strain-based FLD and their relevance to the stress-based FLD. Int J Plast 20:1463–148610.1016/j.ijplas.2003.11.004 ↗
32. Lou Y, Huh H, Lim S, Pack K (2012) New ductile fracture criterion for prediction of fracture forming limit diagrams of sheet metals. Int J Sol and Struct 49:3605–361510.1016/j.ijsolstr.2012.02.016 ↗
33. Needleman A, Triantafyllidis N (1978) Void growth and local necking in biaxially stretched sheets. Journal of Eng. Materials and Tech., trans. ASME 100:164–16910.1115/1.3443466 ↗
34. Neale KW, Chater E (1980) Limit strain predictions for strain-rate sensitive anisotropic sheets. Int J Mech Sci 22:563–57410.1016/0020-7403(80)90018-1 ↗
35. Parmar A, Mellor PB, Chakrabarty J (1977) A new model for the prediction of instability and limit strains in thin sheet metals, Int J Mech Sci 19(7):389–39810.1016/0020-7403(77)90039-X ↗
36. Jain M, Lloyd DJ, Macewen SR (1996) Hardening laws, surface roughness and biaxial tensile limit strains of sheet aluminium alloys. Int J Mech Sci 38(2):219–23210.1016/0020-7403(95)00038-Y ↗
37. Bressan JD, Williams JA (1983) The use of a shear instability criterion to predict local necking in sheet metal deformation. Int J Mech Sci 25(3):155–16810.1016/0020-7403(83)90089-9 ↗
38. Bressan JD, Barlat F (2010) A shear fracture criterion to predict limit strains in sheet metal forming. Int J Mater Form 3(Suppl 1):235–23810.1007/s12289-010-0750-z ↗
39. Stören S, Rice JR (1975) Localised necking in thin sheets. J Mech and Phys of Solids 23:421–44110.1016/0022-5096(75)90004-6 ↗
40. Bressan JD, Liewald M, Drotleff K (2017) Forming limit strains for non-linear strain path of AA6014 aluminium sheet deformed at room temperature. In: ESAFORM 2017, AIP Conf Proc 1896(Oct 16).10.1063/1.5007984 ↗
41. Hill R (1979) Theoretical plasticity of textured aggregates. Math Proc Cam Phil Soc 85:179–19110.1017/S0305004100055596 ↗
42. Bressan JD, Williams JA (1985) Limit strains in the sheet forming of strain and strain-rate sensitive materials. J Mech Work Tech 11:291-31710.1016/0378-3804(85)90003-8 ↗
43. Bressan JD (2008), Influence of thickness size in sheet metal forming. In: 11th ESAFORM Conference on Material Forming :499–502.10.1007/s12289-008-0030-3 ↗
44. Semiatin SL (2006) Metalworking: sheet forming. ASM Handbook, ASM International10.31399/asm.hb.v14b.9781627081863 ↗
45. Wang QL, Novella MF, Ghiotti A, Bruschi S (2017) Anisotropy influence on flow behaviour and plastic instability of Ti6Al4V sheets deformed in a wide range of temperatures and strain rates. Procedia Eng 207:2161–216610.1016/j.proeng.2017.10.975 ↗
46. Martínez-Donaire AJ, García-Lomas FJ, Vallellano C (2014) New approaches to detect the onset of localised necking in sheets under through-thickness strain gradients. Mater Des 57:135–14510.1016/j.matdes.2014.01.012 ↗
47. Ghosh AK (1977) The influence of strain hardening and strain-rate sensitivity on sheet metal forming. J Eng Mat Tech 99:26410.1115/1.3443530 ↗
48. Koronen AS, Manninen T and Kanervo K (2006) On necking, fracture and localization of plastic flow in austenitic stainless steel sheets. In: ESAFORM 2006, Glasgow/UK :93–9810.1063/1.2740794 ↗