Forming Limit Analyses of 590 MPa High Strength Steel Sheet Using Differential Work Hardening Model

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Abstract:

A servo-controlled tension-internal pressure testing machine with an optical 3D deformation analysis system (ARAMIS®, GOM) was used to measure the multiaxial plastic deformation behavior of a 590MPa high strength steel sheet for a range of strain from initial yield to fracture. Tubular specimens were fabricated from the sheet sample by roller bending and laser welding. Many linear stress paths in the first quadrant of stress space were applied to the tubular specimens to measure the forming limit curve (FLC) and forming limit stress curve (FLSC), in addition to the contours of plastic work and the directions of plastic strain rates. It was found that the shapes of the measured work contours changed with the increase of work hardening (plastic work). The observed differential work hardening (DWH) behavior was approximated by changing the material parameters and the exponent of the Yld2000-2d yield function (Barlat et al, 2003) as a function of the equivalent plastic strain. The FLC and FLSC calculated using the Marciniak-Kuczyński-type (M-K) approach with the DWH model were in good agreement with the measurement.

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Key Engineering Materials (Volumes 622-623)

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353-358

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September 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] T. Kuwabara, Advances in experiments on metal sheets and tubes in support of constitutive modeling and forming simulations, International Journal of Plasticity 23 (2007) 385-419.

DOI: 10.1016/j.ijplas.2006.06.003

Google Scholar

[2] D. Banabic, F. Barlat, O. Cazacu, T. Kuwabara, Advances in anisotropy and formability, International Journal of Material Forming 3 (2010) 165-189.

DOI: 10.1007/s12289-010-0992-9

Google Scholar

[3] T. Kuwabara, S. Ikeda, T. Kuroda, Measurement and Analysis of Differential Work Hardening in Cold-Rolled Steel Sheet under Biaxial Tension, Journal of Materials Processing Technology 80-81 (1998) 517-523.

DOI: 10.1016/s0924-0136(98)00155-1

Google Scholar

[4] T. Kuwabara, A. Van Bael and E. Iizuka, Measurement and analysis of yield locus and work hardening characteristics of steel sheets wtih different r-values, Acta Materialia 50 (2002) 3717- 3729.

DOI: 10.1016/s1359-6454(02)00184-2

Google Scholar

[5] T. Kuwabara, K. Hashimoto, E. Iizuka, J. -W. Yoon, Effect of anisotropic yield functions on the accuracy of hole expansion simulations, Journal of Materials Processing Technology 211 (2011) 475-481.

DOI: 10.1016/j.jmatprotec.2010.10.025

Google Scholar

[6] D. Yanaga, T. Kuwabara, N. Uema, M. Asano, Material modeling of 6000 series aluminum alloy sheets with different density cube textures and effect on the accuracy of finite element simulation, International Journal of Solids and Structures 49 (2012).

DOI: 10.1016/j.ijsolstr.2012.03.005

Google Scholar

[7] D. Yanaga, H. Takizawa, T. Kuwabara, Formulation of Differential Work Hardening of 6000 Series Aluminum Alloy Sheet and Application to Finite Element Analysis, Journal of Japan Society for Technology of Plasticity 96 (2010) 557-563. (in Japanese).

DOI: 10.9773/sosei.55.55

Google Scholar

[8] M. Ishiki, T. Kuwabara, Y. Hayashida, Measurement and analysis of differential work hardening behavior of pure titanium sheet using spline function, International Journal of Material Forming 4 (2011) 193-204.

DOI: 10.1007/s12289-010-1024-5

Google Scholar

[9] T. Kuwabara, K. Yoshida, K. Narihara, S. Takahashi, Anisotropic plastic deformation of extruded aluminum alloy tube under axial forces and internal pressure, International Journal of Plasticity 21 (2005) 101-117.

DOI: 10.1016/j.ijplas.2004.04.006

Google Scholar

[10] T. Kuwabara, F. Sugawara, Multiaxial tube expansion test method for measurement of sheet metal deformation behavior under biaxial tension for a large strain range, International Journal of Plasticity 45 (2013) 103-118.

DOI: 10.1016/j.ijplas.2012.12.003

Google Scholar

[11] K. Yoshida, T. Kuwabara, K. Narihara and S. Takahashi, Experimental Verification of the PathIndependence of Forming Limit Stresses , International Journal of Forming Processes 8 (2005) 283-298.

Google Scholar

[12] K. Yoshida, T. Kuwabara, Effect of strain hardening behavior on forming limit stresses of steel tube subjected to nonproportional loading paths, International Journal of Plasticity 23 (2007) 1260-1284.

DOI: 10.1016/j.ijplas.2006.11.008

Google Scholar

[13] K. Yoshida, T. Kuwabara and M. Kuroda, Path-dependence of the forming limit stresses in a sheet metal, International Journal of Plasticity 23 (2007) 361-384.

DOI: 10.1016/j.ijplas.2006.05.005

Google Scholar

[14] K. Yoshida and N. Suzuki, Forming limit stresses predicted by phenomenological plasticity theories with anisotropic work-hardening behavior, International Journal of Plasticity 24 (2008) 118-139.

DOI: 10.1016/j.ijplas.2007.02.008

Google Scholar

[15] T. Hakoyama and T. Kuwabara, Biaxial Tensile Test of High Strength Steel Sheet for Large Plastic Strain Range, Key Engineering Materials 504-506 (2012) 59-64.

DOI: 10.4028/www.scientific.net/kem.504-506.59

Google Scholar

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

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

Google Scholar

[17] Z. Marciniak, K. Kuczyński, Limit strains in the processes of stretch-forming sheet metal, International Journal of Mechanical Sciences 9 (1967) 609–620.

DOI: 10.1016/0020-7403(67)90066-5

Google Scholar

[18] R. Hill, S.S. Hecker, M.G. Stout, An investigation of plastic flow and differential work hardening in orthotropic brass tubes under fluid pressure and axial load, International Journal of Solids and Structures 31 (1994) 2999-3021.

DOI: 10.1016/0020-7683(94)90065-5

Google Scholar

[19] R. Hill, A theory of the yielding and plastic flow of anisotropic metals, Proceedings of the Royal Society London A193 (1948) 281-297.

Google Scholar

[20] D. Peirce, C.F. Shih, A. Needleman, A tangent modulus method for rate dependent solids, Computers & Structures18 (1984) 875–887.

DOI: 10.1016/0045-7949(84)90033-6

Google Scholar