Forming Limits of Several High-Strength Steel Sheets under Proportional/Non-Proportional Deformation Paths


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Forming limits of several high-strength steel (HSS) sheets under non-proportional deformation paths were examined experimentally and predicted analytically. Forming limit curves (FLCs) for 590MPa, 780MPa and 980MPa grade HSS sheets were obtained by performing stretch forming tests under proportional deformation and two types of non-proportional deformation. The experimental results showed strong path-dependent characteristics of FLCs of HSS sheets. Forming limits of equi-biaxially prestrained HSS sheets became markedly lower compared to the original FLCs under proportional deformation, while forming limits of uniaxially prestrained HSS sheets became partially higher than the original FLCs. It was confirmed that Marciniak-Kuczyński type analysis gave reasonably good predictions of forming limits under non-proportional deformation paths. Especially forming limit predictions of equi-biaxially-prestrained sheets showed good agreement with the corresponding experimental results.



Edited by:

Zone-Ching Lin, You-Min Huang and Liang-Kuang Chen




R. Hino et al., "Forming Limits of Several High-Strength Steel Sheets under Proportional/Non-Proportional Deformation Paths", Advanced Materials Research, Vol. 939, pp. 260-265, 2014

Online since:

May 2014




* - Corresponding Author

[1] H. Hayashi, T. Nakagawa, Recent trends in sheet metals and their formability in manufacturing automotive panels, J. Mater. Process. Technol. 46 (1994) 455-487.


[2] R. Kuziak, R. Kawalla, S. Waengler, Advanced high strength steels for automotive industry, Archives of Civil and Mechanical Engineering 8-2 (2008) 103-117.


[3] R. Hino, A. Hirahara, Y. Fujii, F. Yoshida, Forming limit of high strength steel sheets under non-proportional deformation, Proc. 10th Int. Conf. Technology of Plasticity, (2011) 912-916.


[4] W. Volk, H. Hoffmann, J. Suh, J. Kim, Failure prediction for nonlinear strain paths in sheet metal forming, CIRP Annals-Manufacturing Technology, 61 (2012) 259-262.


[5] Z. Marciniak, K. Kuczyński, Limit strains in the processes of stretch-forming sheet metal, Int. J. Mech. Sci. 9-9 (1967) 609-620.


[6] T. Naka, T. Torikai, R. Hino, F. Yoshida, Strain and strain-rate hardening effects on forming limit diagrams of 5083 aluminum alloy sheet under warm stretching, Journal of the Japan Society for Technology of Plasticity, 43-492 (2002).

[7] S. Shima, M. Oyane, Plastic theory for porous metals, Int. J. Mech. Sci. 18-6 (1976) 285-291.

[8] H. Takuda, K. Mori, H. Fujimoto, N. Hatta, Prediction of forming limits in deep drawing of Fe/Al laminated composite sheets using ductile fracture criterion, J. Mater. Process. Technol. 60-1/4 (1996) 291-296.


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