Skip to main content
Log in

Determining biaxial tensile stresses by fracture cruciform specimen at different temperatures and strain rates for Ti–6Al–4V alloy

  • Technical Paper
  • Published:
Journal of the Brazilian Society of Mechanical Sciences and Engineering Aims and scope Submit manuscript

Abstract

Fracture loci of a ductile sheet metal, in some stress subspaces, can be predicted by determining the fracture stress points in the same subspace. This paper deals with determining the fracture stress points for Ti–6Al–4V alloy, under biaxial tension loading, at different temperatures and strain rates. For this purpose, biaxial tension of a fracture cruciform specimen was numerically simulated, using the ABAQUS software. In order to validate the finite element simulations, biaxial tensile fracture of an AA5083 cruciform specimen was numerically and experimentally studied. The material properties of AA5083 needed as the input data for simulations, were determined by performing experimental tests. Moreover, a dependent biaxial tensile mechanism was designed, manufactured and installed on an INSTRON-1343 uniaxial testing machine, to conduct the biaxial experimental tests. The numerical predictions for the location of fracture initiation, the path of fracture evolution and the force diagram in each of the specimen arms were compared with the experimental results. A good correlation was observed which confirms the validity of the finite element simulations. Then, the simulations were repeated for Ti–6Al–4V specimen. Hill1948 criterion was used to model the anisotropic plasticity, while Johnson–Cook damage model was incorporated to predict the fracture initiation and evolution path for different temperatures and strain rates. The results showed that the biaxial fracture stress points, corresponding to different displacement ratios, are mainly accumulated in the vicinity of equi-biaxial stress state. It can be concluded that, regardless of the anisotropy model, the fracture cruciform specimen cannot reveal a wide range of biaxial tension stress points.

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

Access this article

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

Instant access to the full article PDF.

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
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19

Similar content being viewed by others

References

  1. Hannon A, Tiernan P (2008) A review of planar biaxial tensile test systems for sheet metal. J Mater Process Technol 198(1):1–13

    Article  Google Scholar 

  2. Boehler J, Demmerle S, Koss S (1994) A new direct biaxial testing machine for anisotropic materials. Exp Mech 34(1):1–9

    Article  Google Scholar 

  3. Yu Y, Wan M, Wu X-D, Zhou X-B (2002) Design of a cruciform biaxial tensile specimen for limit strain analysis by FEM. J Mater Process Technol 123(1):67–70

    Article  Google Scholar 

  4. Gutscher G, Wu H-C, Ngaile G, Altan T (2004) Determination of flow stress for sheet metal forming using the viscous pressure bulge (VPB) test. J Mater Process Technol 146(1):1–7

    Article  Google Scholar 

  5. Quaak G (2008) Biaxial testing of sheet metal: an experimental-numerical analysis. Eindhoven University of Technology, Department of Mechanical Engineering, Computational and Experimental Mechanics, pp 1–33

  6. Leotoing L, Guines D, Zidane I, Ragneau E (2013) Cruciform shape benefits for experimental and numerical evaluation of sheet metal formability. J Mater Process Technol 213(6):856–863

    Article  Google Scholar 

  7. Abu-Farha FK (2007) Integrated approach to the superplastic forming of magnesium alloys. University of Kentucky Doctoral Dissertations. 493. https://uknowledge.uky.edu/gradschool_diss/493

  8. Leotoing L, Guines D (2015) Investigations of the effect of strain path changes on forming limit curves using an in-plane biaxial tensile test. Int J Mech Sci 99:21–28

    Article  Google Scholar 

  9. Deng N, Kuwabara T, Korkolis Y (2015) Cruciform specimen design and verification for constitutive identification of anisotropic sheets. Exp Mech 55(6):1005–1022

    Article  Google Scholar 

  10. Schödel M, Zerbst U, Dalle Donne C (2006) Application of the European flaw assessment procedure SINTAP to thin wall structures subjected to biaxial and mixed mode loadings. Eng Fract Mech 73(5):626–642

    Article  Google Scholar 

  11. Kuwabara T, Ikeda S, Kuroda K (1998) Measurement and analysis of differential work hardening in cold-rolled steel sheet under biaxial tension. J Mater Process Technol 80:517–523

    Article  Google Scholar 

  12. Makinde A, Thibodeau L, Neale K, Lefebvre D (1992) Design of a biaxial extensometer for measuring strains in cruciform specimens. Exp Mech 32(2):132–137

    Article  Google Scholar 

  13. Ferron G, Makinde A (1988) Design and development of a biaxial strength testing device. J Test Eval 16(3):253–256

    Article  Google Scholar 

  14. Fraunhofer (2005) Dynamic material testing. http://www.emi.fraunhofer.de

  15. Brieu M, Diani J, Bhatnagar N (2006) A new biaxial tension test fixture for uniaxial testing machine—a validation for hyperelastic behavior of rubber-like materials. J Test Eval 35(4):364–372

    Google Scholar 

  16. Vezer SZ, Major Z (2004) Development of an in-plane biaxial test setup for monotonic and cyclic tests of elastomers. In: Proceeding of 25th Danubia-Adria symposium on advances in experimental mechanics. Polymer Competence Center Leobben

  17. Khan AS, Liu H (2012) Strain rate and temperature dependent fracture criteria for isotropic and anisotropic metals. Int J Plast 37:1–15

    Article  Google Scholar 

  18. Yilmaz A (2011) The Portevin–Le Chatelier effect: a review of experimental findings. Sci Technol Adv Mater 12(6):063001

    Article  Google Scholar 

  19. Robinson J (1994) Serrated flow in aluminium base alloys. Int Mater Rev 39(6):217–227

    Article  Google Scholar 

  20. Li X, Guo G, Xiao J, Song N, Li D (2014) Constitutive modeling and the effects of strain-rate and temperature on the formability of Ti–6Al–4V alloy sheet. Mater Des 55:325–334

    Article  Google Scholar 

  21. Banabic D (2010) Sheet metal forming processes: constitutive modelling and numerical simulation. Springer, Berlin

    Book  Google Scholar 

  22. Abaqus 6.14 Documentation (2014) Analysis user’s guide, ductile damage. III: Material (Section 24.2.2)

  23. Kut S (2010) A simple method to determine ductile fracture strain in a tensile test of plane specimen’s. Metalurgija 49(4):295–299

    Google Scholar 

  24. Khan AS, Liu H (2012) A new approach for ductile fracture prediction on Al 2024-T351 alloy. Int J Plast 35:1–12

    Article  Google Scholar 

  25. Lemaitre J (1985) A continuous damage mechanics model for ductile fracture. J Eng Mater Technol 107(1):83–89

    Article  Google Scholar 

  26. Abaqus 6.14 (2014) Analysis user’s guide, Johnson–Cook dynamic failure. III: Material (Section 23.2.7)

  27. Sun J, Guo YB (2009) Material flow stress and failure in multiscale machining titanium alloy Ti–6Al–4V. Int J Adv Manuf Technol 41:651–659

    Article  Google Scholar 

  28. Johnson GR, Cook WH (1985) Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Eng Fract Mech 21(1):31–48

    Article  Google Scholar 

  29. Lin Y, Chen X-M (2011) A critical review of experimental results and constitutive descriptions for metals and alloys in hot working. Mater Des 32(4):1733–1759

    Article  Google Scholar 

  30. Djavanroodi F, Janbakhsh M (2013) Formability characterization of titanium alloy sheets. In: Titanium alloys-advances in properties control. InTech

  31. Djavanroodi F, Derogar A (2010) Experimental and numerical evaluation of forming limit diagram for Ti–6Al–4V titanium and Al6061-T6 aluminum alloys sheets. Mater Des 31(10):4866–4875

    Article  Google Scholar 

  32. Janbakhsh M, Riahi M, Djavanroodi F (2012) Anisotropy induced biaxial stress–strain relationships in aluminum alloys. Int J Adv Des Manuf Technol 5(3):1

    Google Scholar 

  33. Polyzois I (2010) Finite element modeling of the behavior of armor materials under high strain rates and large strains, University of Manitoba, Master of Science Thesis

  34. Kotkunde N, Deole AD, Gupta AK, Singh SK (2014) Experimental and numerical investigation of anisotropic yield criteria for warm deep drawing of Ti–6Al–4V alloy. Mater Des 63:336–344

    Article  Google Scholar 

  35. Khan AS, Yu S (2012) Deformation induced anisotropic responses of Ti–6Al–4V alloy. Part I: experiments. Int J Plast 38:1–13

    Article  Google Scholar 

Download references

Acknowledgements

This research is in line with the project of “the Design and Manufacturing of the Ti–6Al–4V Alloy Large Scale Spherical Vessel under Relatively High External Pressure.” We would like to thank the Dean of the Faculty of Sea for their continued support of our project. Second, we would like to thank the experts at the Iranian Aviation Industry, HESA, for their continuous support in experimental and laboratory-based examinations. A third, special thanks go to R. Mousavi and B. Azizian for their cooperation in the making of the biaxial tensile mechanism.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Farhad Farhadzadeh.

Additional information

Technical Editor: Paulo de Tarso Rocha de Mendonça, Ph.D.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Farhadzadeh, F., Salmani-Tehrani, M. & Tajdari, M. Determining biaxial tensile stresses by fracture cruciform specimen at different temperatures and strain rates for Ti–6Al–4V alloy. J Braz. Soc. Mech. Sci. Eng. 40, 532 (2018). https://doi.org/10.1007/s40430-018-1455-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40430-018-1455-3

Keywords

Navigation