Acta Mechanica Slovaca 2011, 15(1):56-62 | DOI: 10.21496/ams.2011.008

Determination of Forming - Limit Diagrams Considering Various Models for Steel Sheets

Ján Slota, Emil Spiąák

In this paper a comparative investigation of three mathematical models (Marciniak - Kuczynski model, Swift-Hill model and Sing-Rao model) as well as on an empirical model proposed by the North American Deep Drawing Research Group (NADDRG) has been carried out. The yield criterion proposed by Hill is used for the calculation of the limit strains in connection with the Swift's instability condition for diffuse necking and by using the Marciniak - Kuczynski analysis. The emphasis of this investigation is to consider these different approaches to predicting the FLD. Experimental results has been carried out for low carbon steel sheets of drawing quality as well as rephosphorised, TRIP and micro-alloyed steels. It was compared, which theoretical model showing good correlation with experiment, thus, which model is suitable for materials mentioned above.

Keywords: Forming-Limit Diagrams, Prediction Models, Sheet Metal Forming

Published: March 31, 2011  Show citation

ACS AIP APA ASA Harvard Chicago Chicago Notes IEEE ISO690 MLA NLM Turabian Vancouver
Slota, J., & Spiąák, E. (2011). Determination of Forming - Limit Diagrams Considering Various Models for Steel Sheets. Acta Mechanica Slovaca, 15(1), 56-62. doi: 10.21496/ams.2011.008
Share...
Download citation
  • BibTeX (.bib)
  • Bookends (.ris)
  • EasyBib (.ris)
  • EndNote (.enw)
  • EndNote 8 (.xml)
  • ISI WoS (.isi)
  • Medlars (.medlars)
  • Mendeley (.ris)
  • MODS (.xml)
  • Papers (.ris)
  • RefWorks (.txt)
  • RefManager (.ris)
  • RIS (.ris)
  • MS Word (.xml)
  • Zotero (.ris)
    • Open full article

    References

    1. Barlat, F., Lian, J. (1989). Plastic behavior and stretchability of sheet metals. Part I. A yield function for orthotropic sheets under plane stress condition. Int. J. Plasticity, vol. 5, pp. 51-66 Go to original source...
    2. Banabic, D. (1996). Forming limit diagrams predicted by using the New Hill's criterion. Proceedings of the Numisheet '96, pp. 240-245
    3. Banabic, D., Dannenmann, E. (2001) Prediction of influence of yield locus on the limit strain in sheet metals. Journal of mat. Porc. Technology, vol. 109, pp. 9-12 Go to original source...
    4. Djavanroodi, F., Derogar, A. (2010). Experimental and numerical evaluation of forming limit diagram for Ti6Al4V titanium and Al6061-T6 aluminum alloys sheets. Materials & Design, vol. 31, pp. 4866-4875 Go to original source...
    5. Ganjiani, M., Assempour, A. (2007). An improved analytical approach for determination of forming limit diagrams considering the effects of yield functions. Journal of Materials Processing Technology, vol. 182, no. 1-3, pp. 598-607 Go to original source...
    6. Ganjiani, M., Assempour, A. (2008). Implementation of a robust algorithm for prediction of forming limit diagrams. Journal of Materials Engineering and Performance, vol. 17, no. 1, pp. 1-6 Go to original source...
    7. Korhonen, A.S., Manninen, T. (2008). Forming and fracture limits of austenitic stainless steel sheets. Materials Science and Engineering A-Structural Materials Properties Microstructure and Processing, vol. 488, no. 1-2, pp. 157-166 Go to original source...
    8. Sowerby, R., Duncan, J.L. (1971). Failure in sheet metal in biaxial tension. Int. J. Mech. Sci., vol. 30, pp. 217-229 Go to original source...
    9. Eyckens, P., Van Bael, A., Van Houtte, P. (2009). Marciniak-Kuczynski type modelling of the effect of Through-Thickness Shear on the forming limits of sheet metal. International Journal of Plasticity, vol. 25, no. 12, pp. 2249-2268 Go to original source...
    10. Evangelista, S.H., Lirani, J., Al-Qureshi, H.A. (2002). Implementing a modified Marciniak-Kuczynski model using the finite element method for the simulation of sheet metal deep drawing. Journal of Materials Processing Technology, vol. 130-131, pp. 135-144 Go to original source...
    11. Banabic, D., Comsa, S., Jurco, P., Cosovici, G., Paraianu, L., Julean, D. (2004). FLD theoretical model using a new anisotropic yield criterion. Journal of Materials Processing Technology, vol. 157-158, pp. 23-27 Go to original source...
    12. Wang, L., Lee, T.C. (2006). The effect of yield criteria on the forming limit curve prediction and the deep drawing process simulation.International Journal of Machine Tools and Manufacture, vol. 46, no. 9, pp. 988-995. Go to original source...
    13. Rees, D.W.A., Power, R.K. (1994). Forming limits in a clad steel. J. Mater. Process. Technol. , vol. 45, pp. 571-575 Go to original source...
    14. Sing, W.M., Rao, K.P. (1997). Role of strain-hardening laws in the prediction of forming limit curves. Journal of Materials Processing Technology, vol. 63, no. 1-3, pp. 105-110 Go to original source...
    15. Fr±cz W., Stachowicz F.: Determination of the forming limit diagram by Sing-Rao method, Acta Mechanica Slovaca, 3 (1999), str. 35-40
    16. Levy, S.B.: A comparison of empirical forming limit curves for low carbon steel with theoretical forming limit curves of Ramaekers and Bongaerts, IDDRG WG3, Ungarn, (1996)

    This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.


    Return to the content