Effects of Anisotropic Yield Functions on Prediction of Forming Limit Diagram for AHS Steel

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In this study, experimental and numerical analyses of Forming Limit Diagram (FLD) for Advanced High Strength (AHS) steel grade 980 were performed. Forming limit curve was first determined by means of the Nakazima stretch-forming test. Then, analytical calculations of the FLD based on the Marciniak-Kuczynski (M-K) model were carried out. Different yield criteria, namely, Hill’48 (r-value and stress-based), Yld89 (r-value and stress-based) and Barlat2000 (Yld2000-2d) were investigated. The strain hardening law according to Swift was applied. To identify parameters of each model, uniaxial tension, balanced bi-axial bulge test and in-plane biaxial tension test were performed. As a result, predicted plastic flow stresses and plastic anisotropies of the AHS steel by various directions were evaluated. In addition, effects of the anisotropic yield functions, strain rate sensitivities, imperfection values and work hardening coefficient on the predicted FLD were studied and discussed. It was found that the FLD based on the Yld2000-2d yield criterion was in better agreement with the experimental curve. Accuracy of the FLD predictions based on the M-K theory, especially in the biaxial state of stress, significantly depended on the applied yield criteria, for which yield stresses and r-values of different loading directions were required.

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Key Engineering Materials (Volumes 622-623)

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257-264

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September 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] V. Uthaisangsuk, S. Muenstermann, U. Prahl, W. Bleck, H.P. Schmitz, T. Pretorius. A study of microcrack formation in multiphase steel using representative volume element and damage mechanics. Comp. Mater. Sci. 50 (2011) 1225-1232.

DOI: 10.1016/j.commatsci.2010.08.007

Google Scholar

[2] Z. Marciniak and K. Kuczynski. Limit strains in the processes of stretch-forming sheet metal. Int. J. Mech. Sci. 9 (1967) 609-612.

Google Scholar

[3] R. Hill. A theory of the yielding and plastic flow of anisotropic metals. In: Proceeding of Royal Society London A. 193 (1948) 281-297.

Google Scholar

[4] F. Barlat and J. Lian. Plastic behavior and stretchability of sheet metals. Part I: A yield function for orthotropic sheets under plane stress conditions. Int. J. Plast. 5 (1989) 51-66.

DOI: 10.1016/0749-6419(89)90019-3

Google Scholar

[5] F. Barlat, J.C. Brem, J. W. Yoon, K. Chung, R.E. Dick, D.J. Lege, F. Pourboghart, S.H. Choi, E. Chu: Plane stress yield function for aluminum alloy sheets - Part 1: Theory. Int. J. Plast. 19 (2003) 1297-1319.

DOI: 10.1016/s0749-6419(02)00019-0

Google Scholar

[6] K. Nakajima, T. Kikuma, K. Hasuka. Study of the formability of steel sheets. Technical Report No. 264, 8517, Yawata (1968).

Google Scholar

[7] International Standard ISO 12004-2 Metallic materials - Sheet and strip – Determination of forming-limit curves. Part 2: Determination of forming-limit curves in the laboratory, (2008).

DOI: 10.3403/30150423u

Google Scholar

[8] S. Panich, F. Barlat, V. Uthaisangsuk, S. Suranantchai, S. Jirathearanat. Experimental and theoretical formability analysis using strain and stress based forming limit diagram for advanced high strength steels. Mater. Des. 51 (2013) 756-766.

DOI: 10.1016/j.matdes.2013.04.080

Google Scholar

[9] M.C. Butuc, J.J. Gracio, A.B. da Rocha. A theoretical study on forming limit diagrams prediction. Int. J. Mater. Proc. Tech. 142 (2003) 714-724.

DOI: 10.1016/s0924-0136(03)00813-6

Google Scholar

[10] P. Dasappa, K. Inal, R. Mishra. The effects of anisotropic yield functions and their material parameters on prediction of forming limit diagrams. Int. J. Sol. Struc. 49 (2012) 3528-3550.

DOI: 10.1016/j.ijsolstr.2012.04.021

Google Scholar

[11] R.F. Young, J.E. Bird, J.L. Duncan. An automated hydraulic bulge tester. J. Applied Metalworking 2 (1981) 11-18.

DOI: 10.1007/bf02833994

Google Scholar

[12] S.N. Kim, J.W. Lee, F. Barlat, M.G. Lee. Formability prediction of advanced high strength steels using constitutive models characterized by uniaxial and biaxial experiments. Int. J. Mater. Proc. Tech. 213 (2013) 1929-(1942).

DOI: 10.1016/j.jmatprotec.2013.05.015

Google Scholar

[13] W.F. Hosford. On yield loci of anisotropic cubic metals. In Proceedings of 7th North American Metalworking Conf. SME, Dearborn, MI (1979) 191-197.

Google Scholar

[14] T. Kuwabara, K. Hashimot, E. lizuka, J.W. Yoon. Effect of anisotropic yield functions on the accuracy of hole expansion simulations. J. Mater. Proc. Tech. 211 (2011) 475-481.

DOI: 10.1016/j.jmatprotec.2010.10.025

Google Scholar