A consistent criterion for diffuse necking in sheet metals using hill’s 1979 yield surface

Journal of Engineering Materials and Technology, Transactions of the ASME

Volumn 120, Issue 2, 1998, Pages 177-182

  Esche, S K ^a   Shivpuri, R ^b  

^a STEVENS INSTITUTE OF TECHNOLOGY   (United States)

^b The Ohio State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; PLASTIC DEFORMATION; STRAIN;

DIFFUSE NECKING;

SHEET METAL;

EID: 0032051093     PISSN: 00944289     EISSN: 15288889     Source Type: Journal    
DOI: 10.1115/1.2807008     Document Type: Article

References (17)

1. Bressan, J. D., and Williams, J. A., 1983, “The Use of a Shear Instability Criterion to Predict Local Necking in Sheet Metal Deformation,” International Journal of Mechanical Sciences, Vol. 25, pp. 155-168.
2. Chiang, D. C, and Kobayashi, S., 1966, “The Effect of Anisotropy and Worli- Hardening Characteristics on the Stress and Strain Distribution in Deep Drawing,” ASME Journal of Engineering for Industry, Vol. 88, pp. 443-448.
3. Considere, A., 1885, “L’emploi du fer et de I’acier dans les constructions,” Annales des Fonts et Chaussees, Vol. 9, pp. 574-775.
4. El-Sebaie, M. G., and Mellor, P. B. 1972, “Plastic Instability Conditions in the Deep-Drawing of a Circular Blank of Sheet Metal,” International Journal of Mechanical Sciences, Vol. 14, pp. 535-556.
5. Hart, E. W., 1967, “Theory of the Tensile Test,” Acta Metallurgica, Vol. 15, pp. 351-355.
6. Hill, R., 1948, “A Theory of the Yielding and Plastic Flow of Anisotropic Metals,” Proceedings of the Royal Society London, Series A, Vol. 193, pp. 281-297.
7. Hill, R., 1979, “Theoretical Plasticity of Textured Aggregates,” Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 85, pp. 179-191.
8. HoUomon, J. H., 1945, “Tensile Deformation,” Transactions of the American Institute of Mining and Metallurgical Engineers, Vol. 162, pp. 268-290.
9. Hosford, W. F., and Caddell, R. M., 1993, Metal Forming: Mechanics and Metallurgy, Prentice Hall, Englewood CUffs, NJ.
10. Mellor, P. B., 1960, “Plastic Instability in Tension,” The Engineer, Vol. 209, pp. 517-521.
11. Moore, G. G., and Wallace, J. F., 1964, “The Effect of Anisotropy on Instability in Sheet-Metal Forming,” Journal of the Institute of Metals, Vol. 93, pp. 33-38.
12. Ragab, A. R., and Abbas, A. T., 1986, “Assessment of Work-Hardening Characteristics and Limit Strains of Anisotropic Aluminum Sheets in Biaxial Stretching,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY, Vol. 108., pp. 250-257.
13. Swift, W., 1952, “Plastic Instability Under Plane Stress,” Journal of the Mechanics and Physics of Solids, Vol. 1, pp. 1-18.
14. Voce, E., 1948, “The Relationship Between Stress and Strain for Homogeneous Deformation,” Journal of the Institute of Metals, Vol. 74, pp. 537-562.
15. Von Mises, R., 1913, “Mechanik der festen KOrper im plastisch-deformablen Zustand,” Nachrichten von der Gesellschaft der Wissenschaften zu Gottingen, Mathematisch-Physikalische Klasse, pp. 582-592.
16. Warwick, J. O., and Alexander, J. M., 1962, “Prediction of the Limiting Drawing Ratio from the Stress/Strain Curve,” Journal of the Institute of Metals, Vol. 91, pp. 1-10.
17. Woodthorpe, J., and Pearce, R., 1970, “The Anomalous Behavior of Aluminum Sheet Under Balanced Biaxial Tension,” International Journal of Mechanical Sciences, Vol. 12, pp. 341-347.