Skip to main content
SpringerLink
Log in

Evaluation of deformation for titanium alloy sheet in single point incremental forming based on asymmetric yield function

  • 30th Anniversary of the Korean Society for Technology of Plasticity
  • Published:
International Journal of Material Forming Aims and scope Submit manuscript

Abstract

This paper is concerned with evaluation of deformation in single point incremental forming (SPIF) for a Ti6Al4V sheet. Tension and compression properties were experimentally obtained along the RD, DD, and TD to investigate the in-plane anisotropy and the strength differential (SD) effect. To characterize the constitutive equation, an anisotropic and asymmetric yield function (CPB06ex2) was employed for the Ti6Al4V sheet. Uniaxial loading–unloading tests were carried out to confirm the degradation of the elastic modulus due to plastic deformation. The SPIF tests were then conducted through a 3-axis CNC-based incremental forming machine with a tool path for a truncated pyramid. To describe the deformation in the SPIF considering the springback, FE simulations were performed with different constitutive models from isotropic to anisotropic and asymmetric cases considering the elastic modulus degradation. The superiority between the constitutive models was evaluated by comparing the experimental and FE results of the surface profile. It was confirmed that the model that fits the overall shape profile well is the most advanced constitutive model, CPB06ex2, which features the degradation of the elastic modulus.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  1. Oleksik V, Trzepieciński T, Szpunar M, Chodoła Ł, Ficek D, Szczęsny I (2021) Single-point incremental forming of titanium and titanium alloy sheets. Materials 14:6372

    Article  Google Scholar 

  2. Duflou JR, Habraken AM, Cao J, Malhotra R, Bambach M, Adams D, Vanhove H, Mohammadi A, Jeswiet J (2018) Single point incremental forming: state-of-the-art and prospects. Int J Mater Form 11:743–773

    Article  Google Scholar 

  3. Behera AK, de Sousa RA, Ingarao G, Oleksik V (2017) Single point incremental forming: An assessment of the progress and technology trends from 2005 to 2015. J Manuf Process 27:37–62

    Article  Google Scholar 

  4. Lu B, Chen J, Ou H, Cao J (2013) Feature-based tool path generation approach for incremental sheet forming process. J Mater Process Technol 213:1221–1233

    Article  Google Scholar 

  5. Pereira Bastos RN, Alves de Sousa RJ, Fernandes Ferreira JA (2016) Enhancing time efficiency on single point incremental forming processes. Int J Mater Form 9:653–662

    Article  Google Scholar 

  6. Xu D, Wu W, Malhotra R, Chen J, Lu B, Cao J (2013) Mechanism investigation for the influence of tool rotation and laser surface texturing (LST) on formability in single point incremental forming. Int J Mach Tools Manuf 73:37–46

    Article  Google Scholar 

  7. Uheida EH, Oosthuizen GA, Dimitrov DM, Bezuidenhout MB, Hugo PA (2018) Effects of the relative tool rotation direction on formability during the incremental forming of titanium sheets. Int J Adv Manuf Technol 96:3311–3319

    Article  Google Scholar 

  8. Jeswiet J, Micari F, Hirt G, Bramley A, Duflou J, Allwood J (2005) Asymmetric single point incremental forming of sheet metal. CIRP Ann 54:88–114

    Article  Google Scholar 

  9. Xu DK, Lu B, Cao TT, Zhang H, Chen J, Long H, Cao J (2016) Enhancement of process capabilities in electrically-assisted double sided incremental forming. Mater Des 92:268–280

    Article  Google Scholar 

  10. Taleb Araghi B, Manco GL, Bambach M, Hirt G (2009) Investigation into a new hybrid forming process: Incremental sheet forming combined with stretch forming. CIRP Ann – Manuf Technol 58:225–228

    Article  Google Scholar 

  11. Liu R, Lu B, Xu D, Chen J, Chen F, Ou H, Long H (2016) Development of novel tools for electricity-assisted incremental sheet forming of titanium alloy. Int J Adv Manuf Technol 85:1137–1144

    Article  Google Scholar 

  12. Grün PA, Uheida EH, Lachmann L, Dimitrov D, Oosthuizen GA (2018) Formability of titanium alloy sheets by friction stir incremental forming. Int J Adv Manuf Technol 99:1993–2003

    Article  Google Scholar 

  13. Saidi B, Giraud Moreau L, Cherouat A, Nasri R (2020) Experimental and numerical study on warm single-point incremental sheet forming (WSPIF) of titanium alloy Ti–6Al–4V, using cartridge heaters. J Braz Soc Mech Sci Eng 42:1–15

    Article  Google Scholar 

  14. De Sena JIV, Guzmán CF, Duchene L, Habraken AM, Behera AK, Duflou J, Valente RAF, Alves de Sousa RJ (2016) Simulation of a two-slope pyramid made by SPIF using an adaptive remeshing method with solid-shell finite element. Int J Mater Form 9:383–394

    Article  Google Scholar 

  15. Eyckens P, Belkassem B, Henrard C, Gu J, Sol H, Habraken AM, Duflou JR, Van Bael A, Van Houtte P (2011) Strain evolution in the single point incremental forming process: digital image correlation measurement and finite element prediction. Int J Mater Form 4:55–71

    Article  Google Scholar 

  16. Do VC, Pham QT, Kim YS (2017) Identification of forming limit curve at fracture in incremental sheet forming. The Int J Adv Manuf Technol 92:4445–4455

    Article  Google Scholar 

  17. Bouhamed A, Jrad H, Said LB, Wali M, Dammak F (2019) A non-associated anisotropic plasticity model with mixed isotropic–kinematic hardening for finite element simulation of incremental sheet metal forming process. Int J Adv Manuf Technol 100:929–940

    Article  Google Scholar 

  18. Honarpisheh M, Abdolhoseini MJ, Amini S (2016) Experimental and numerical investigation of the hot incremental forming of Ti-6Al-4V sheet using electrical current. Int J Adv Manuf Technol 83:2027–2037

    Article  Google Scholar 

  19. Gatea S, Xu D, Ou H, McCartney G (2018) Evaluation of formability and fracture of pure titanium in incremental sheet forming. Int J Adv Manuf Technol 95:625–641

    Article  Google Scholar 

  20. Abdelkefi A, Guines D, Léotoing L, Thuillier S (2022) Relevant material characterization for load prediction in incremental forming. Int J Mater Form 15:1–13

    Article  Google Scholar 

  21. Badr OM, Rolfe B, Zhang P, Weiss M (2017) Applying a new constitutive model to analyse the springback behaviour of titanium in bending and roll forming. Int J Mech Sci 128:389–400

    Article  Google Scholar 

  22. Plunkett B, Cazacu O, Barlat F (2008) Orthotropic yield criteria for description of the anisotropy in tension and compression of sheet metals. Int J Plast 24:847–866

    Article  Google Scholar 

  23. Park N, Stoughton TB, Yoon JW (2019) A criterion for general description of anisotropic hardening considering strength differential effect with non-associated flow rule. Int J Plast 121:76–100

    Article  Google Scholar 

  24. Lee EH, Stoughton TB, Yoon JW (2018) Kinematic hardening model considering directional hardening response. Int J Plast 110:145–165

    Article  Google Scholar 

  25. Lee J, Bong HJ, Kim SJ, Lee MG, Kim D (2020) An enhanced distortional-hardening-based constitutive model for hexagonal close-packed metals: Application to AZ31B magnesium alloy sheets at elevated temperatures. Int J Plast 126:102618

    Article  Google Scholar 

  26. Lee EH, Rubin MB (2022) Eulerian constitutive equations for the coupled influences of anisotropic yielding, the Bauschinger effect and the strength-differential effect for plane stress. Int J Solids Struct 241:111475

    Article  Google Scholar 

  27. Yoshida F, Uemori T, Fujiwara K (2002) Elastic–plastic behavior of steel sheets under in-plane cyclic tension–compression at large strain. Int J Plast 18:633–659

    Article  Google Scholar 

  28. Lee MG, Kim JH, Kim D, Seo OS, Nguyen NT, Kim HY (2013) Anisotropic hardening of sheet metals at elevated temperature: tension-compressions test development and validation. Exp Mech 53:1039–1055

    Article  Google Scholar 

  29. Kim M, Huh H (2019) Asymmetric hardening behavior of az31b magnesium alloy sheet with large strain at various strain rates. Int J Automot Technol 20:645–653

    Article  Google Scholar 

  30. Cazacu O, Plunkett B, Barlat F (2006) Orthotropic yield criterion for hexagonal closed packed metals. Int J Plast 22:1171–1194

    Article  Google Scholar 

Download references

Acknowledgements

This study was supported by the Korea Institute of Industrial Technology as part of the “Development of root technology for multi-product flexible production (KITECH EO-22-0006)” and partially supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. NRF-2020R1F1A1069978).

Author information

Authors and Affiliations

  1. Molding & Metal Forming R&D Department, Korea Institute of Industrial Technology (KITECH), 156, Gaetbeol-ro, Yeonsu-gu, 21999, Incheon, South Korea

    Minki Kim, Hyungrim Lee & Namsu Park

Authors
  1. Minki Kim
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hyungrim Lee
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Namsu Park
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Namsu Park.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kim, M., Lee, H. & Park, N. Evaluation of deformation for titanium alloy sheet in single point incremental forming based on asymmetric yield function. Int J Mater Form 15, 66 (2022). https://doi.org/10.1007/s12289-022-01712-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12289-022-01712-5

Keywords

Search

Navigation