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Large Strain and Small-Scale Biaxial Testing of Sheet Metals

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Abstract

Small-scale and multi-axial testing of sheet metals, particularly of lightweight alloys and advanced steels are becoming important as these materials exhibit forming behavior sensitive to their unique microstructural features and strain paths. As an alternative to large-scale standard tests, in this paper we introduce a novel biaxial tensile test apparatus utilizing miniature cruciform samples. The compact and portable apparatus includes a custom-built optical microscope and high-resolution digital image correlation (DIC) equipment for in-plane and in-situ strain measurements at the microstructure scale. The small strain and premature fracture problems common to the cruciform tests are solved by optimizing the sample design and by meticulously controlling the manufacturing steps and surface finish. Strain analyses reveal a key mechanism responsible for large strains and fracture at the center. This mechanism suppresses the local neck formation and allows uniform deformation under equibiaxial conditions until fracture. When normalized with the strain hardening exponent of the sample material (Al 6061-T6), the effective strain value before fracture, \( \overline{\varepsilon}/n \sim 3 \), surpass the reported values for similar materials tested by cruciform and standard methods.

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References

  1. 1.

    Hosford WF, Caddell RM (1993) Metal forming (mechanics and metallurgy). Cambridge University Press, New York

  2. 2.

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

  3. 3.

    Hu J, Marciniak Z, Duncan J (1992) Mechanics of sheet metal forming. Edward Arnold, London

  4. 4.

    Tong W (1998) Strain characterization of propagative deformation bands. J Mech Phys Solids 46:2087–2102

  5. 5.

    Djavanroodi F, Derogar A (2010) Experimental and numerical evaluation of forming limit diagram for Ti6Al4V titanium and Al6061-T6 aluminum alloys sheets. Mater Des 31:4866–4875

  6. 6.

    Kang J, Ososkov Y, Embury JD, Wilkinson DS (2007) Digital image correlation studies for microscopic strain distribution and damage in dual phase steels. Scr Mater 56:999–1002

  7. 7.

    Efstathiou C, Sehitoglu H, Lambros J (2010) Multiscale strain measurements of plastically deforming polycrystalline titanium: role of deformation heterogeneities. Int J Plast 26:93–106

  8. 8.

    Mattei L, Daniel D, Guiglionda G, Klöcker H (2013) Strain localization and damage mechanisms during bending of AA6016 sheet. Mater Sci Eng A 559:812–821

  9. 9.

    Tasan CC, Hoefnagels JPM, Diehl M, Yan D, Roters F, Raabe D (2014) 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

  10. 10.

    Kleiner M, Geiger M, Klaus A (2003) Manufacturing of lightweight components by metal forming. CIRP Ann-Manuf Techn 52:521–542

  11. 11.

    Pattaky GJ, Sehitoglu H (2015) Experimental Methodology for studying strain heterogeneity with microstructural data from high temperature deformation. Exp Mech 55:53–65

  12. 12.

    Alves LM, Nielsen CV, Martins PAF (2011) Revisiting the fundamentals and capabilities of the stack compression test. Exp Mech 11:1565–1572

  13. 13.

    Tasan CC, Hoefnagels JPM, Dekkers ECA, Geers MGD (2012) Multi-axial deformation setup for microscopic testing of sheet metal to fracture. Exp Mech 52:669–678

  14. 14.

    Walley JL, Wheeler R, Uchic MD, Mills MJ (2011) In-situ mechanical testing for characterizing strain localization during deformation at elevated temperatures. Exp Mech 52:405–416

  15. 15.

    Liu W, Guines D, Leotoing L, Ragneau E (2015) Identification of sheet metal hardening for large strains with an in-plane biaxial tensile test and a dedicated cross specimen. Int J Mech Sci 101–102:387–398

  16. 16.

    Banerjee D, Iadicola M, Creuziger A, Foecke T (2015) An experimental and numerical study of deformation behavior of steels in biaxial tensile tests. In: Zöllner D et al (eds) TMS2015 Supplemental Proceedings. John Wiley & Sons, Inc., Hoboken, New Jersey, pp 279–288

  17. 17.

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

  18. 18.

    Merklein M, Biasutti M (2013) Development of a biaxial tensile machine for characterization of sheet metals. J Mater Process Technol 213:939–946

  19. 19.

    Mitukiewicz G, Glogowski M (2016) Cruciform specimen to obtain higher plastic deformation in a gauge region. J Mater Process Technol 227:11–15

  20. 20.

    Collins DM, Mostafavi M, Todd RI, Connolley T, Wilkinson AJ (2015) A synchrotron X-ray diffraction study of in situ biaxial deformation. Acta Mater 90:46–58

  21. 21.

    Nagayasu T, Takahashi S, Kuwabara T (2010) Development of compact biaxial tensile testing apparatus using conventional compression testing machine and evaluation of the test results. Complete list of IDDRG papers published at Biennal Congresses and Conferences. http://www.iddrg.com/pub/iddrg/central/library/iddrg_archiv/paper_list.html. Accessed 27 Jan 2016

  22. 22.

    Cláudio RA, Guelho I, Reis L, Freitas M, Li B, Madeira JFA (2013) Optimization of cruciform specimen for a low capacity biaxial testing machines. 10th International Conference of Multiaxial Fatigue & Fracture. http://www.gruppofrattura.it/ocs/index.php/ICMFF/ICMFF10/paper/view/12118. Accessed 27 Jan 2016

  23. 23.

    Iadicola M, Creuziger A, Foecke T (2014) Advanced biaxial cruciform testing at the NIST center for automotive lightweighting.residual stress, thermomechanics & infrared imaging, hybrid techniques and inverse problems. In: Rossi M et al (eds) Residual stress, thermomechanics & infrared imaging, hybrid techniques and inverse problems, Volume 8: Proceedings of the 2013 Annual Conference on Experimental and Applied Mechanics, Springer International Publishing, Cham, Switzerland, pp 277–285

  24. 24.

    Müller W, Pöhlandt K (1996) New experiments for determining yield loci of sheet metal. J Mater Process Technol 60:643–648

  25. 25.

    Ghiotti A, Bruschi S, Bariani PF (2007) Determination of yield locus of sheet metal at elevated temperatures: a novel concept for experimental set-up. Key Eng Mater 344:97–104

  26. 26.

    Geiger M, Hußnätter W, Merklein M (2005) Specimen for a novel concept of the biaxial tension test. J Mater Process Technol 167:83–177

  27. 27.

    Abu-Farha F, Hector LG Jr, Khraisheh M (2009) Cruciform-shaped specimens for elevated temperature biaxial testing of lightweight materials. JOM-J Min Met Mater Soc 61:48–56

  28. 28.

    Blaber J, Adair B, Antoniou A (2015) Ncorr: open-source 2D digital image correlation matlab software. Exp Mech 55:1105–1122

  29. 29.

    Blaber J (2016) Open source 2D-DIC MATLAB Software. Ncorr V1.2. http://ncorr.com/ Accessed 27 Jan 2016

  30. 30.

    Marya M, Hector LG, Verma R, Tong W (2006) Microstructural effects of AZ31 magnesium alloy on its tensile deformation and failure behaviors. Mater Sci Eng A 418:341–356

  31. 31.

    Pan B, Qian K, Xie H, Asundi A (2009) Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review. Meas Sci Technol 20. doi:10.1088/0957-0233/20/6/062001

  32. 32.

    Sowerby R, Chu E, Duncan JL (1982) Determination of large strains in metalforming. J Strain Anal Eng 17(2):95–101

  33. 33.

    Dilmec M, Halkaci HS, Ozturk F, Turkoz M (2013) Detailed investigation of forming limit determination standards for aluminum alloys. J Test Eval 41:1–12

  34. 34.

    Vysochinskiy D, Coudert T, Hopperstad OS, Lademo OG, Reyes A (2016) Experimental detection of forming limit strains on samples with multiple local necks. J Mater Process Technol 227:216–226

  35. 35.

    Brunet M, Mguil S, Morestin F (1998) Analytical and experimental studies of necking in sheet metal forming processes. J Mater Process Technol 80–81:40–46

  36. 36.

    Brunet M, Morestin F (2001) Experimental and analytical necking studies of anisotropic sheet metals. J Mater Process Technol 112:214–226

  37. 37.

    Green DE, Neale KW, MacEwen SR, Makinde A, Perrin R (2004) Experimental investigation of biaxial behavior of an aluminum sheet. Int J Plast 20:1677–1706

  38. 38.

    Stachowicz F (1989) Effects of microstructure on the mechanical properties and limit strains in uniaxial and biaxial streching. J Mech Work Technol 19:305–317

  39. 39.

    Kohara S (1993) Forming-limit curves of aluminum and aluminum alloy sheets and effects of strain path on the curves. J Mater Process Technol 38:723–735

  40. 40.

    Naka T, Torikai G, Hino R, Yoshida F (2001) The effects of temperature and forming speed on the forming limit diagram for type 5083 aluminum – magnesium alloy sheet. J Mater Process Technol 113:648–653

  41. 41.

    Ahmadi S, Eivani AR, Akbarzadeh A (2009) Experimental and analytical studies on the prediction of forming limit diagrams. Comput Mater Sci 44:1252–1257

  42. 42.

    Ahmadi S, Eivani AR, Akbarzadeh A (2009) An experimental and theoretical study on the prediction of forming limit diagrams using new BBC yield criteria and M-K analysis. Comput Mater Sci 44:1272–1280

  43. 43.

    Avila AF, Vieira ELS (2003) Proposing a better forming limit diagram prediction: a comparative study. J Mater Process Techol 141:101–108

  44. 44.

    Kim SB, Huh H, Bok HH, Moon MB (2011) Forming limit diagram of auto-body steel sheets for high-speed sheet metal forming. J Mater Process Technol 211:851–862

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Ackowledgments

This work was supported both by TÜBİTAK—2232 fellowship program for returning scientists to Turkey under the grant agreement #114C039 and by European Commission’s Research Executive Agency’s Marie Curie Actions—Career Integration Grant (FP7-PEOPLE-2013-CIG) with grant agreement #631774. We would like to thank Kıvanç Alkan for his help in surface preparation and testing.

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Correspondence to M. Efe.

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Cite this article

Seymen, Y., Güler, B. & Efe, M. Large Strain and Small-Scale Biaxial Testing of Sheet Metals. Exp Mech 56, 1519–1530 (2016). https://doi.org/10.1007/s11340-016-0185-7

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Keywords

  • Biaxial tension
  • In-situ testing
  • Cruciform
  • Forming
  • DIC
  • Aluminum