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Yield surface characterization for lightweight alloy sheets via an improved combined shear–tension experimental method

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Abstract

Combined shear and tension (CST) tests are important experimental methods for characterizing yield surfaces for metal sheets, which is vital to ensure the effectiveness of the constitutive models employed in finite element simulation. However, the existing CST experimental method with a reduced thickness specimen, designed for advanced high strength steel sheets, is not suitable for accurately characterizing yield surfaces for lightweight alloy sheets, such as aluminum alloy sheets. In this paper, an improved experimental method employing CST loading along with an appropriate full-thickness specimen is proposed to address the problem. To establish the proposed experimental method, an appropriate full-thickness specimen is presented through finite element method and combined with a newly developed biaxial testing machine. To verify the effectiveness and feasibility of the improved experimental method, virtual simulations and real experiments on the proposed full-thickness specimen obtained from 6K21-T4 aluminum sheets under different CST loading cases are conducted. Research results show that the yield surfaces of the aluminum alloy sheets between simple shear and plane strain (SSPS) can be described accurately by employing the improved experimental method. In addition, according to the experimental results, the prediction capability of the Yld2000 and Hill48 yield criteria is studied. It is found that the commonly used Yld2000 yield criterion cannot accurately predict the yield behavior of the aluminum alloy sheets under shear-dominant loading.

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References

  1. Dursun T, Soutis C. Recent developments in advanced aircraft aluminum alloys. Mater Des. 2014;56:862–71.

    Article  CAS  Google Scholar 

  2. Ingarao G, Micari F. Sustainability issues in sheet metal forming processes: an overview. J Clean Prod. 2011;19:337–47.

    Article  Google Scholar 

  3. Ablat MA, Qattawi A. Numerical simulation of sheet metal forming: a review. Int J Adv Manuf Tech. 2017;89:1235–50.

    Article  Google Scholar 

  4. Banabic D. Anisotropy of sheet metal. In: Banabic D, editor. Formability of metallic materials: plastic anisotropy, formability testing, forming limits. Springer; 2000. p. 119–72.

    Chapter  Google Scholar 

  5. Shiratori E, Ikegami K. A new biaxial testing machine with flat specimens. Bull Tokyo Inst Technol. 1967;82:105–18.

    Google Scholar 

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

    Article  Google Scholar 

  7. Hanabusa Y, Takizawa H, Kuwabara T. Numerical verification of a biaxial tensile test method using a cruciform specimen. J Mater Process Technol. 2013;213:961–70.

    Article  Google Scholar 

  8. Mitukiewicz G, Głogowski M. Cruciform specimen to obtain higher plastic deformation in a gauge region. J Mater Process Technol. 2016;227:11–5.

    Article  CAS  Google Scholar 

  9. Hou Y, Min JY, Guo N, Lin JP, Carsley JE, Stoughton T, Traphöner H, Clausmeyer T, Tekkaya AE. Investigation of evolving yield surfaces of dual-phase steels. J Mater Process Technol. 2019;287:116314.

    Article  Google Scholar 

  10. Kuwabara T, Horiuchi Y, Uema N, Ziegelheimova J. Material testing method of applying in-plane combined tension-compression stresses to sheet specimen. J Jpn Soc Technol Plast. 2007;48:630–4.

    Google Scholar 

  11. Moreno MCS, Muñoz SH. Elastic stability in biaxial testing with cruciform specimens subjected to compressive loading. Compos Struct. 2020;234:111697.

    Article  Google Scholar 

  12. Zhang K, He ZB, Zheng KL, Yuan SJ. Experimental verification of anisotropic constitutive models under tension-tension and tension-compression stress states. Int J Mech Sci. 2020;178:105618.

    Article  Google Scholar 

  13. Mohr D, Oswald M. A new experimental technique for the multi-axial testing of advanced high strength steel sheets. Exp Mech. 2008;48:65–77.

    Article  Google Scholar 

  14. Mohr D, Jacquemin J. Large deformation of anisotropic austenitic stainless steel sheets at room temperature: multi-axial experiments and phenomenological modeling. J Mech Phys Solids. 2008;56:2935–56.

    Article  ADS  Google Scholar 

  15. Mohr D, Dunand M, Kim KH. Evaluation of associated and non-associated quadratic plasticity models for advanced high strength steel sheets under multi-axial loading. Int J Plast. 2010;26:939–56.

    Article  CAS  Google Scholar 

  16. Mohr D, Ebnoether F. Plasticity and fracture of martensitic boron steel under plane stress conditions. Int J Solids Struct. 2009;46:3535–47.

    Article  CAS  Google Scholar 

  17. Walters CL. The effect of machining the gage section on biaxial tension/shear plasticity experiments of DP780 sheet steel. Exp Mech. 2013;53:1647–59.

    Article  Google Scholar 

  18. Zheng LH, Wang ZJ, Song H. Experimental method for multistage loading tests with various prestrain paths. Exp Mech. 2019;59:51–63.

    Article  CAS  Google Scholar 

  19. Zheng LH, Wang ZJ, Wang Z. Characterizing forming limits at fracture for aluminum 6K21-T4 sheets using an improved biaxial tension/shear loading test. Int J Mech Sci. 2019;159:487–501.

    Article  Google Scholar 

  20. Williams BW, Boyle KP. Characterization of anisotropic yield surfaces for titanium sheet using hydrostatic bulging with elliptical dies. Int J Mech Sci. 2016;114:315–29.

    Article  Google Scholar 

  21. Hou Y, Min JY, Guo N, Shen YF, Lin JP. Evolving asymmetric yield surfaces of quenching and partitioning steels: characterization and modeling. J Mater Process Technol. 2021;290:116979.

    Article  CAS  Google Scholar 

  22. Kuwabara T, Kuroda M, Tvergaard V, Nomura K. Use of abrupt strain path change for determining subsequent yield surface: experimental study with metal sheets. Acta Mater. 2000;48(9):2071–9.

    Article  ADS  CAS  Google Scholar 

  23. Li Y, Wang ZJ. Finite element analysis of stiffness and static dent resistance of aluminum alloy double-curved panel in viscous pressure forming. Trans Nonferrous Met Soc. 2009;19:s312–7.

    Article  CAS  Google Scholar 

  24. Deng N, Kuwabara T, Korkolis YP. Cruciform specimen design and verification for constitutive identification of anisotropic sheets. Exp Mech. 2015;55(6):1005–22.

    Article  Google Scholar 

  25. Hill R. A theory of the yielding and plastic flow of anisotropic metals. Proc R Soc Lond Seri A. 1948;193:281–97.

    Article  ADS  MathSciNet  CAS  Google Scholar 

  26. Barlat F, Brem JC, Yoon JW, Chung K, Dick RE, Lege DJ, Pourboghrat F, Choi SH, Chu E. Plane stress yield function for aluminum alloy sheets—part 1: theory. Int J Plast. 2003;19:1297–319.

    Article  CAS  Google Scholar 

  27. Lee WO, Kim DY, Kim JH, Chung K, Hong SH. Analysis of forming process of automotive aluminum alloys considering formability and springback. Key Eng Mater. 2007;345–346:857–60.

    Google Scholar 

  28. Merklein M, Suttner S. Evolution of yield loci for aluminum alloy AA6016 and deep drawing steel DC06 under the influence of non-linear strain paths. Key Eng Mat. 2013;549:21–8.

    Article  Google Scholar 

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Acknowledgements

This research was financially supported by the National Natural Science Foundation of China (No. 52075023, No. 51975031, and No. 51275130). The authors would like to take this opportunity to express their sincere appreciation to the funding.

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Beihang University, Beijing, 100191, China

    L. H. Zheng, M. Wan & B. Meng

  2. School of Materials Science and Engineering, Harbin Institute of Technology, Harbin, 150001, China

    Z. J. Wang

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  1. L. H. Zheng
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  2. Z. J. Wang
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  3. M. Wan
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  4. B. Meng
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Zheng, L.H., Wang, Z.J., Wan, M. et al. Yield surface characterization for lightweight alloy sheets via an improved combined shear–tension experimental method. Archiv.Civ.Mech.Eng 22, 96 (2022). https://doi.org/10.1007/s43452-022-00425-5

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