Forming limit stresses predicted by phenomenological plasticity theories with anisotropic work-hardening behavior

International Journal of Plasticity

Volumn 24, Issue 1, 2008, Pages 118-139

  Yoshida, Kengo ^a   Suzuki, Noriyuki ^b  

^a YAMAGATA UNIVERSITY   (Japan)

^b NIPPON STEEL CORPORATION   (Japan)

Author keywords

A. Ductility; B. Constitutive behavior; B. Elastic viscoplastic material; Forming limit stress

Indexed keywords

DUCTILITY; PLASTICITY; STRAIN HARDENING; STRESS-STRAIN CURVES; VISCOPLASTICITY;

CROSS HARDENING EFFECTS; PLASTICITY THEORIES; STRESS STRAIN RELATIONS; WORK HARDENING MODELDS;

SHEET METAL;

EID: 35348979077     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2007.02.008     Document Type: Article

References (35)

1. Arrieux R. Determination and use of the forming limit stress surface of orthotropic sheets. J. Mater. Process. Tech. 64 1-3 (1997) 25-32
2. Arrieux, R., Bedrin, C., Bovin, M., 1982. Determination of an intrinsic forming limit stress diagram for isotropic metal sheets. In: Proceedings of the 12th IDDRG Congress 2, pp. 61-71.
3. Barata da Rocha A., and Jalinier J.M. Plastic instability of sheet metals under simple and complex strain paths. Trans. ISIJ 24 2 (1984) 132-140
4. Barlat F., Brem J.C., Yoon J.W., Chung K., Dick R.E., Lege D.J., Pourboghrat F., Choi S.H., and Chu E. Plane stress yield function for aluminum alloy sheets - Part 1 theory. Int. J. Plasticity 19 9 (2003) 1297-1319
5. Barlat F., Yoon J.W., and Cazacu O. On linear transformations of stress tensors for the description of plastic anisotropy. Int. J. Plasticity 23 5 (2007) 876-896
6. Bouvier S., Gardey B., Haddadi H., and Teodosiu C. Characterization of the strain-induced plastic anisotropy of rolled sheets by using sequences of simple shear and uniaxial tensile tests. J. Mater. Process. Tech. 174 1-3 (2006) 115-126
7. Gotoh M. A class of plastic constitutive equations with vertex effect-IV: Applications to prediction of forming limit strains of metal sheets under nonproportional loadings. Int. J. Solids Struct. 21 12 (1985) 1149-1163
8. Graf A., and Hosford W.F. Effect of changing strain paths on forming limit diagram of Al 2008-T4. Metall. Trans. A 24A (1993) 2503-2512
9. Graf A., and Hosford W.F. The influence of strain-path changes on forming limit diagram of Al 6111 T4. Int. J. Mech. Sci. 36 10 (1994) 897-910
10. Gronostajski I. Sheet metal forming limits for complex strain paths. J. Mech. Work. Tech. 10 3 (1984) 349-362
11. Haddadi H., Bouvier S., Banu M., Maier C., and Teodosiu C. Towards an accurate description of the anisotropic behavior of sheet metals under large plastic deformations: modelling, numerical analysis and identification. Int. J. Plasticity 22 12 (2006) 2226-2271
12. Kuroda M., and Tvergaard V. Effect of strain path change on limits to ductility of anisotropic metal sheets. Int. J. Mech. Sci. 42 5 (2000) 867-887
13. Kuroda M., and Tvergaard V. Forming limit diagrams for anisotropic metal sheets with different yield criteria. Int. J. Solids Struct. 37 37 (2000) 5037-5059
14. Kuwabara T., and Kurita K. Measurement of plastic deformation characteristics of 6000-type sheet aluminum alloy under biaxial tension and verification of yield criteria. J. Jpn. Inst. Light Metals 50 1 (2000) 2-6 (in Japanese)
15. Kuwabara T., Van Bael A., and Iizuka E. Measurement and analysis of yield locus and work hardening characteristics of steel sheets with different r-values. Acta Mater. 50 14 (2002) 3717-3729
16. Kuwabara T., Ishiki M., Kuroda M., and Takahashi S. Yield locus and work-hardening behavior of a thin-walled steel tube subjected to combined tension-internal pressure. J. Phys. IV 105 (2003) 347-354
17. Kuwabara, T., Uema, N., Nomura, T., Suzuki, N., Lemoine, X., 2003b. Biaxial tensile tests of high strength steels and its material modeling. In: The Proceedings of the 54th Japanese Joint Conference for the Technology of Plasticity, pp. 3-4 (in Japanese).
18. Kuwabara T., Yoshida K., Narihara K., and Takahashi S. Anisotropic plastic deformation of extruded aluminum alloy tube under axial force and internal pressure. Int. J. Plasticity 21 1 (2005) 101-117
19. Marciniak Z., and Kuczyński K. Limit strains in the processes of stretch-forming sheet metal. Int. J. Mech. Sci. 9 9 (1967) 609-620
20. Nakazima, K., Kikuma, T., Hasuka, K., 1968. Study on the formability of steel sheets. Yawata Tech. Rep. No.264, 8517-8530.
21. Peirce D., Shih C.F., and Needleman A. A tangent modulus method for rate dependent solids. Comput. Struct. 18 5 (1984) 875-887
22. Sowerby R., and Duncan J.L. Failure in sheet metal in biaxial tension. Int. J. Mech. Sci. 13 (1971) 217-229
23. Stoughton T.B. A general forming limit criterion for sheet metal forming. Int. J. Mech. Sci. 42 1 (2000) 1-27
24. Stoughton T.B. Stress-based forming limits in sheet-metal forming. Trans. ASME J. Eng. Mater. Tech. 123 4 (2001) 417-422
25. Stoughton, T.B., 2002. The influence of the material model on the stress-based forming limit criterion. SAE Tech. Pap. Ser. Rep. No., SAE-2002-01-0157.
26. Stoughton T.B., and Yoon J.W. Sheet metal formability analysis for anisotropic materials under non-proportional loading. Int. J. Mech. Sci. 47 12 (2005) 1972-2002
27. Teodosiu, C., Hu, Z., 1995. Evolution of the intragranular microstructure at moderate and large strains: Modelling and computational significance. In: Shen, Dawson (Eds.), Proceedings of the 5th NUMIFORM Conference. Simulation of Materials Processing: Theory, Methods and Applications, pp. 173-182.
28. Teodosiu, C., Hu, Z., 1998. Microstructure in the continuum modelling of plastic anisotropy. In: Carstensen, J.V., Leffers, T., Lorentzen, T., Pedersen, O.B., Sorensen, B.F., Winther, G. (Eds.), Proceedings of the 19th Riso International Symposium on Materials Science, pp. 149-168.
29. Wu P.D., Neale K.W., and Van der Gissen E. Effects of strain paths on sheet metal limit strain. In: De Borst R., and Van Der Giessen E. (Eds). Material Instabilities in Solids (1998), John Wiley & Sons 243-253
30. Wu P.D., Graf A., Jain M., and MacEwen S.R. On alternative representation of forming limits. Key. Eng. Mater. 177-180 (2000) 517-522
31. Wu P.D., Graf A., MacEwen S.R., Lloyd D.J., Jain M., and Neale K.W. On forming limit stress diagram analysis. Int. J. Solids Struct. 42 8 (2005) 2225-2241
32. Yoshida K., and Kuwabara T. Effect of strain hardening behavior on forming limit stresses of steel tube subjected to nonproportional loading paths. Int. J. Plasticity 23 7 (2007) 1260-1284
33. Yoshida K., Kuwabara T., Narihara K., and Takahashi S. Experimental verification of the path-dependence of forming limit stresses. Int. J. Forming Processes 8 SI (2005) 283-298
34. Yoshida K., Kuwabara T., and Kuroda M. Strain path-dependence of the forming limit stresses in a sheet metal. Int. J. Plasticity 23 3 (2007) 361-384
35. Zhao L.R., Sowerby R., and Sklad M.P. A theoretical and experimental investigation of limit strains in sheet metal forming. Int. J. Mech. Sci. 38 12 (1996) 1307-1317