About Us


Forming-Limit Diagrams, Prediction Models, Sheet Metal Forming.


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.


Acta Mechanica Slovaca. Volume 15, Issue 1, Pages 56 – 61, ISSN 1335-2393


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


[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

[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
[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
[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
[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
[7] Korhonen, A.S., Manninen, T. (2008). Forming and fracture limits of austenitic stainless steel sheets. Materials Science and Engineering AStructural
Materials Properties Microstructure and Processing, vol. 488, no. 1-2, pp. 157-166
[8] Sowerby, R., Duncan, J.L. (1971). Failure in sheet metal in biaxial tension. Int. J. Mech. Sci.,

[7] Pusavec F, Kramar D, et al., Transitioning to sustainable production – part II: evaluation of sustainable machining technologies. Journal of Cleaner Production. In Press, DOI:10.1016/j.jclepro.2010.01.015
[8] Rahman M., Kumar A.S., Salam MU, Experimental evaluation on effect of minimal quantity lubricant in milling. International Journal of Machine Tools & Manufacture, no. 42, 2002,
p. 539-547
[9] Weinert K, Inasaki I, et al. Dry machining and minimum quantity lubrication. CIRP Annals–Manufacturing Technology, vol. 53, no. 3, 2004, p. 511-537
[10] Westkämper E, et al. Life Cycle management and assessment: approaches and visions towards sustainable manufacturing. CIRP Annals - Manufacturing Technology,

vol. 49, no. 2, p.501-502

Latest Issue

ams 2 2016


Guests Online

We have 48 guests and no members online