journal article·2026-07-14Open access

A comparative study on forming limit curves of Ti-6Al-4V alloy obtained by nakajima and elliptical hydraulic bulge tests under the effect of pulsating loading

Ömer Faruk Gökcepınar, Hüseyin Selçuk Halkacı, Murat Dilmeç, Mevlüt Türköz

Materials Research Express· Volume 13· Issue 13

Abstract

Abstract Titanium alloys are increasingly employed in industrial applications due to their high specific strength, thermal stability, and excellent corrosion resistance. Among these, Ti-6Al-4V is the most widely used alloy, particularly in aerospace, gas turbine, and biomedical components. Nevertheless, the limited room-temperature formability of Ti-6Al-4V sheets remains a major challenge for sheet metal forming processes. To overcome this limitation, alternative forming strategies, such as hydroforming and pulsating loading, have been proposed to delay localised necking and improve strain distribution. Pulsating forming, based on cyclic or intermittent loading, has been reported to enhance formability through stress relaxation and suppression of plastic instability. Despite these advantages, to the authors’ knowledge, no systematic investigation has been reported on determining forming limit curves (FLCs) for Ti-6Al-4V sheets under pulsating loading conditions in hydroforming processes. Therefore, this study aims to experimentally determine and compare the FLCs of Ti-6Al-4V alloy obtained using the Nakajima test and an elliptical hydraulic bulge test, with particular emphasis on the effect of pulsating loading. In this study, the FLC of the Ti-6Al-4V alloy was determined using the Nakajima and hydraulic bulge tests, with pulsating loading applied during the bulge experiments. The results reveal that pulsating loading causes an approximately 23.4% upward shift in the overall FLC level measured in the elliptical bulge tests, indicating a significant improvement in formability. Compared with the bulge tests, the Nakajima tests resulted in higher strain levels, primarily due to the combined effects of tool–sheet friction, contact pressure, and differences in strain-path evolution. The experimentally determined FLCs were further validated through strain measurements conducted on female-die hydroformed cylinders and spherical components. The results indicate that FLCs obtained from the Nakajima test are more representative for sheet metal forming processes dominated by frictional effects. In contrast, FLCs derived from hydraulic bulge tests are more suitable for hydroforming applications. Overall, pulsating forming is an effective approach for significantly enhancing the formability of Ti-6Al-4V alloy sheets.
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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.

Affiliations

Konya Technical University

Necmettin Erbakan University

Funding

Necmettin Erbakan Üniversitesi · Türkiye Bilimsel ve Teknolojik Araştırma Kurumu

References (35)

Show source-provided references
1. Theis · 1999
2. Research and theoretical description concerning the influences on the FLDs
3. Different machining environments impact analysis for Ti-6Al-4V alloy (Grade 5) turning process: a scoping review10.1016/j.matpr.2020.12.432 ↗
4. Mouritz · 2012
5. Hot stamping of titanium alloy sheets using partial contact heating10.1016/j.promfg.2018.07.375 ↗
6. Correlative study on plastic response and formability of Ti-6Al-4V sheets under hot forming conditions10.1016/j.jmapro.2020.08.053 ↗
7. Influence of the electric pulse on springback during stretch U-bending of Ti6Al4V titanium alloy sheets10.1016/j.jmatprotec.2018.05.030 ↗
8. Experimental investigation on electrically assisted incremental sheet metal forming of Ti–6Al–4V alloy10.1007/978-981-15-9809-8_30 ↗
9. Finite element modeling and validation of springback and stress relaxation in the thermo-mechanical forming of thin Ti-6Al-4V sheets10.1007/s00170-019-04071-9 ↗
10. Improvement in ductility in commercially pure titanium alloys by stress relaxation at room temperature10.4028/www.scientific.net/KEM.611-612.92 ↗
11. Investigations on ductility improvement and reloading yielding during stress relaxation of dual phase Ti–6Al–4V titanium alloy10.1016/j.jallcom.2020.154450 ↗
12. Influence of loading path on formability of 304 stainless steel tubes10.1007/s11431-009-0213-2 ↗
13. Microstructural evolution and corrosion resistance of additively manufactured Ti–6Al–4V alloy annular shaped components using multistage heat treatment10.1016/j.matchemphys.2025.131414 ↗
14. Insights into microstructure evolution and interface joining mechanism in ultrasonic spot welding of Cu/Ti-6Al-4V dissimilar joints10.1016/j.jmapro.2026.02.062 ↗
15. Investigation on the spalling failure of concrete under high strain rate loading by simulation and experimental method10.1016/j.ijimpeng.2025.105445 ↗
16. Influence of chemical composition on nanoindentation behavior of Zr-Al-Ni-Cu metallic glasses: an experimental and molecular dynamics approach10.1016/j.matdes.2026.115817 ↗
17. Modeling and analysis of specific cutting energy for Ti-6Al-4V alloy using quasi-intermittent vibration assisted swing cutting10.1016/j.precisioneng.2025.11.004 ↗
18. Influence of pressure amplitude on formability in pulsating hydro-bulging of AZ31B magnesium alloy sheet10.4028/www.scientific.net/AMM.128-129.397 ↗
19. Finite element simulation of hammering hydroforming of tubes10.1016/B978-008044046-0.50123-8 ↗
20. 3-D finite element simulation of pulsating T-shape hydroforming of tubes10.4028/www.scientific.net/KEM.340-341.353 ↗
21. Formability improvement of austenitic stainless steel by pulsating hydroforming10.1177/0954405414535382 ↗
22. Describing tube formability during pulsating hydroforming using forming limit diagrams10.1177/0309324717703511 ↗
23. The effect of strain rate on the strain to fracture of a sheet steel under biaxial tensile stress conditions10.1115/1.3225043 ↗
24. Formability of Ti–6Al–4V titanium alloy sheet in magnetic pulse bulging10.1016/j.matdes.2013.05.064 ↗
25. Formability improvement in Ti–6Al–4 V sheet at room temperature by pulsating hydraulic bulging: experimental and numerical investigations10.1007/s00170-022-10693-3 ↗
26. A comparative study of forming limit diagram prediction of tailor welded blanks10.1007/s12289-014-1168-9 ↗
27. Forming limit diagram prediction of tailor welded blank by modified M–K model10.1016/j.mechrescom.2015.05.004 ↗
28. Stress based forming limit diagram for formability characterization of 6061 aluminum10.1016/S1003-6326(16)64350-9 ↗
29. Plastic flow in the elliptical bulge test10.1016/0020-7403(94)00071-Q ↗
30. Improvement of numerical modelling considering plane strain material characterization with an elliptic hydraulic bulge test10.3390/jmmp2010006 ↗
31. Characterization of plastic behaviour of sheet metals by hydraulic bulge test10.1016/S1003-6326(12)61719-1 ↗
32. Flow property of AA2B06 sheet using overlapping elliptical bulge test10.1016/S1003-6326(16)64334-0 ↗
33. Microstructural characterization of improved formability of Ti-6Al-4V sheet by pulsating hydraulic bulging at room temperature10.1007/s11665-022-07550-5 ↗
34. Grid marking and measurement methods for sheet metal formability
35. Marciniak · 2002