Prediction of forming limit curves of sheet metals using Hill's 1993 user-friendly yield criterion of anisotropic materials

International Journal of Mechanical Sciences

Volumn 40, Issue 9, 1998, Pages 913-925

  Xu, Siguang ^a   Weinmann, Klaus J ^a  

^a Michigan Technological University   (United States)

Author keywords

Limit curves; Sheet metals; Yield criterion

Indexed keywords

ALUMINUM; ANISOTROPY; NUMERICAL ANALYSIS; STEEL; STRAIN; TENSILE PROPERTIES; YIELD STRESS;

LIMIT CURVE; YIELD CRITERION;

METAL FORMING;

EID: 0032162595     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7403(97)00145-8     Document Type: Article

References (31)

1. Marciniak, Z. and Kuczynski, K., Limit strains in the processes of stretch-forming sheet metal. International Journal of Mechanical Sciences, 1967, 9, 609.
2. Marciniak, Z., Kuczynski, K. and Pokora, T., Influence of the plastic properties of a material on the forming limit diagram for sheet metal in tension. International Journal of Mechanical Sciences, 1973, 15, 789.
3. Hill, R., A theory of the yielding and plastic flow of anisotropic metals. Proceedings of Royal Society of London, Series. A, 1948, 193, 281.
4. Bramley, A. N. and Mellor, P. B., Plastic flow in stabilized sheet steel. International Journal of Mechanical Sciences, 1966, 8, 101.
5. Lee, D. and Zaverl, F., Jr., Neck growth and forming limits in sheet metals. International Journal of Mechanical Sciences, 1982, 24, 157.
6. Nie, Q. Q. and Lee, D., The effect of rate sensitivity on history dependent forming limits of anisotropic sheet metals. Journal of Material Shaping Technology, 1991, 9, 233.
7. Parmer, A. and Mellor, P. B., Predictions of limit strains in sheet metal using a more general yield criterion. International Journal of Mechanical Sciences, 1978, 20, 385.
8. Woodthrope, J. and Pearce, R., The effect of r and n upon the forming limit diagrams of sheet steel. Sheet Metal Industtry, 1969, 46, 1061.
9. Woodthrope, J. and Pearce, R., The anomalous behavior of aluminum sheet under balanced biaxial tension. International Journal of Mechanical Sciences, 1970, 12, 341.
10. Hill, R., Theoretical plasticity of textured aggregates. Mathematical Proceedings Camb Philosophical Society, 1979, 85, 179.
11. Lian, J., Zhou, D. and Baudelet, B., Application of Hill's new yield theory to sheet metal forming-part 1. Hill's 1979 criterion and its application to predicting sheet forming limit. International Journal of Mechanical Sciences, 1989, 31, 237.
12. Kobayashi, S., Caddell, R. M. and Hosford, W. F., Examination of Hill's latest yield criterion using experimental data for various anisotropic sheet metals. International Journal of Mechanical Sciences, 1985, 27, 509.
13. Barlat, F., Crystallographic texture, anisotropic yield surface and forming limits of sheet metals. Materials Science Engineering, 1987, 91, 55.
14. Hosford, W. F., On yield loci of anisotropic cubic metals. Proceedings of the 7th N. American Metalworking Research Conference, Vol. 191, Ann Arbor, Michigan, U.S.A., 1979.
15. Bishop, J. F. W. and Hill, R., A theory of the plastic distortion of a polycrystalline aggregate under combined stresses. Philosophical Magazine, 1951, 42, 414.
16. Bishop, J. F. W. and Hill, R., A theoretical derivation of the plastic properties of a polycrystalline face-centred metal. Philosophical Magazine, 1951, 42, 1298.
17. Graf, A. and Hosford, W. F., The effect of r-value on calculated forming limit curves. In Forming Limit Diagrams: Concepts, Methods, and Applications, ed. R. H. Wagoner, K. S. Chan and S. P. Keeler. Publication of TMS, Pennsylvania, 1989, p. 153.
18. Graf, A. and Hosford, W. F., Calculations of forming limit diagrams. Metallurgical Transactions A, 1990, 21A, 87.
19. Bassani, J. L., Yield characterization of metals with transversely isotropic plastic properties. International Journal of Mechanical Sciences, 1977, 19, 651.
20. Gotoh, M., A theory of plastic anisotropy based on a yield function of fourth order-1 and 2. International Journal of Mechanical Sciences, 1977, 19, 505.
21. Logan, R. W. and Hosford, W. F., Upper-Bound Anisotropic yield locus calculations assuming 〈111〉-pencil glide. International Journal of Mechanical Sciences, 1980, 22, 419.
22. Barlat, F. and Lian, J., Plastic behavior and stretchability of sheet metals. Part 1: a yield function for orthotropic sheets under plane stress conditions. Internationl Journal of Plastics, 1989, 5, 51.
23. Barlat, F., Lege, D. J. and Brem, J., A six-component yield function for anisotropic materials. International Journal of Plastics, 1991, 7, 693.
24. Hill, R., A user-friendly theory of orthotropic plasticity in sheet metals. International Journal of Mechanical Sciences, 1993, 35, 19.
25. Hill, R., Hecker, S. S. and Stout, M. G., An investigation of plastic flow and differential work hardening in orthotropic brass tubes under fluid pressure and axial load. International Journal of Solids Structures, 1994, 31, 2999.
26. Graf, A. and Hosford, W., The influence of strain-path changes on forming limit diagrams of Al 6111 T4. International Journal of Mechanical Sciences, 1994, 36, 897.
27. Dillamore, I. L., The relevance of tensile properties to sheet formability. Journal of Physics D, 1974, 7, 979.
28. Hecker, S. S., Simple technique for determining forming limit curves. Sheet Metals Industry, 671, 1975.
29. Ghosh, A. K., Hecker, S. S. and Keeler, S. P., Sheet metal forming and testing. Workability Testing Techniques, ed. G. E. Dieter. American Society of Metals, Metals Park, OH, 1984, p. 135.
30. Pearce, R., Some aspects of anisotropic plasticity in sheet metals. International Journal of Mechanical Sciences, 1968, 10, 995.
31. Hecker, S. S., Yield surfaces in prestrained aluminum and copper. Metallurgical Transactions, 1971, 2, 2007.