0
TECHNICAL PAPERS

A Simplified Approach to Estimate Limiting Drawing Ratio and Maximum Drawing Load in Cup Drawing

[+] Author and Article Information
Daw-Kwei Leu, Jen-Yu Wu

Department of Mechanical Engineering, Kuang-Wu Institute of Technology, 151, I-Der Street, Peitou, Taipei, Taiwan 112, Republic of China

J. Eng. Mater. Technol 126(1), 116-122 (Jan 22, 2004) (7 pages) doi:10.1115/1.1633574 History: Received December 04, 2001; Revised September 02, 2003; Online January 22, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.

References

Whiteley, R. L., 1960, “The Importance of Directionality in Drawing Quality Sheet Steel,” Trans., ASM, 52 , pp. 154–163.
Wright, J. C., 1962, “Relationship Between Mechanical Properties, Deep-Drawability and Stretch-Formability for Some Non-Ferrous Sheet Materials,” Sheet Metal Industries, 39 , pp. 887–901.
Lilet, L., and Wybo, M., 1964, “An Investigation Into the Effect of Plastic Anisotropy and Rate of Work-Hardening in Deep Drawing,” Sheet Metal Industries, 41 , pp. 783–815.
Shawki, G. S. A., 1965, “Assessing Deep-Drawing Qualities of Sheet Metal, Part III Combined Simulative Tests,” Sheet Metal Industries, 42 , pp. 524–532.
Wilson, D. V., Sunter, B. J., and Martin, D. F., 1966, “A Single-Blank Test for Drawability,” Sheet Metal Industries, 43 , pp. 465–476.
Atkinson, M., 1967, “Assessing Normal Anisotropic Plasticity of Sheet Metals,” Sheet Metal Industries, 44 , pp. 167–178.
Thorp, J. M., 1973, “Sheet Drawability Assessed from a Two-Blank Cup-Drawing Test and Tensile Test,” Sheet Metal Industries, 50 , pp. 99–104.
Keeler, S. P., and Backofen, W. A., 1960, Discussion to Ref. 1, Trans., ASM, 52 , pp. 166.
Moore,  G. G., and Wallace,  J. F., 1964–65, “The Effect of Anisotropy on Instability in Sheet Metal Forming,” J. Inst. Met., 93, pp. 33–38.
Chiang,  D. C., and Kobayashi,  S., 1966, “The Effect of Anisotropy and Work-Hardening Characteristics on the Stress and Strain Distribution in Deep Drawing,” ASME J. Ind., 88, pp. 443–448.
Budiansky,  B., and Wang,  N. M., 1966, “On the Swift Cup Test,” J. Mech. Phys. Solids, 14, pp. 357–374.
El-Sebaie,  M. G., and Mellor,  P. B., 1972, “Plastic Instability Conditions in the Deep-Drawing of a Circular Blank of Sheet Metal,” Int. J. Mech. Sci., 14, pp. 535–556.
Hill, R., 1950, The Mathematical Theory of Plasticity, Clarendon Press, Oxford, UK.
Yamada,  Y., 1964, “Effects of R-Value on the Deep-Drawing of Sheet Metals,” J. Jpn. Soc. Technol. Plast., 5, pp. 183–194.
Mir,  W. A., and Hillier,  M. J., 1969, “Cup Drawing from an Anisotropic Blank,” ASME J. Eng. Ind., 89, pp. 766–771.
Kawai,  N., Tomata,  E., Moriya,  K., Araki,  H., Kondo,  K., and Fujimura,  Y., 1968, “The Effects of Processing Variables on Formability of Aluminum Sheets (1st Report, the Effect of Cold Reduction),” Bull. JSME, 12(53), pp. 1223–1231.
Eshel,  G., Barash,  M., and Johnson,  W., 1986, “Rule Based Modeling for Planning Axisymmetrical Deep-Drawing,” J. Mater. Process. Technol., 14, pp. 1–115.
Shawki, G. S. A., 1965, “Assessing Deep-Drawing Qualities of Sheet Metal: Part II—Deep-Drawing Tests,” Sheet Metal Industries, 42 , pp. 417–424.
Reissner,  J., and Ehrismann,  R., 1987, “Computer-Aided Deep-Drawing of Two-Part Cans,” CIRP Ann., 36, pp. 199–202.
Shinagawa,  K., Mori,  K., and Osakada,  K., 1991, “Finite Element Simulation of Deep Drawing of Stainless Steel Sheet with Deformation-Induced Transformation,” J. Mater. Process. Technol., 27, pp. 301–310.
Chan, J. W., 1995, “A Study of Limitation of Sheet Metal Stretching and Drawing Processes,” Ph.D. Thesis, National Taiwan Institute of Technology, Taipei, Taiwan.
Venkatesh,  V. C., and Goh,  T. N., 1986, “A Note on Mathematical Models of Cup Drawing by the Guerin and Marform Processes,” J. Mech. Work. Technol., 13, pp. 273–278.
Saotome,  Y., Yasuda,  K., and Kaga,  H., 2001, “Microdeep Drawability of Very Thin Sheet Steels,” J. Mater. Process. Technol., 113, pp. 641–647.
Moon,  Y. H., Kang,  Y. K., Park,  J. W., and Gong,  S. R., 2001, “Tool Temperature Control to Increase the Deep Drawability of Aluminum 1050 Sheet,” Int. J. Mach. Tools Manuf., 41, pp. 1283–1294.
Hosford,  W. F., and Kim,  C., 1976, “The Dependence of Deep-Drawability on Normal Anisotropy, Crystallographic Analysis,” Metall. Trans. A, 7A, pp. 468–472.
Hosford, W. F., 1977, “The Effect of Anisotropy and Work Hardening on Cup Drawing, Redrawing and Ironing,” in Formability: Analysis, Modeling and Experimentation, S. S. Hecker, A. K. Ghosh, and H. L. Gegel, eds., TMS-AIME, New York, pp. 78–95.
Leu,  D. K., 1997, “Prediction of the Limiting Drawing Ratio and the Maximum Drawing Load in Cup-Drawing,” Int. J. Mach. Tools Manuf., 37, No. 2, pp. 201–213.
Leu,  D. K., 1999, “The Limiting Drawing Ratio for Plastic Instability of the Cup-Drawing Process,” J. Mater. Process. Technol., 86, pp. 168–176.
Dodd, B., and Atkins, A. G., 1983, “Limiting Drawing Ratios in Sheet Materials According to One of Hill’s New Anisotropic Yield Criteria,” in Developments in the Drawing of Metals, (Conf. Proceedings), The Metal Society London, May, 11–13, pp. 87–89.
Mori, K., and Takuda, H., 1996, “Prediction of Forming Limit in Deep Drawing by Combination of Finite Element Simulation and Criterion for Ductile Fracture,” Transactions of NAMRI/SME, XXIV , pp. 143–148.
Korhonen,  A. S., 1982, “Drawing Force in Deep Drawing of Cylindrical Cup with Flat-Nosed Punch,” ASME J. Eng. Ind., 104, pp. 29–38.
Leu,  D. K., 1997, “Prediction of the Maximum Drawing Load in the Cup-Drawing Process of Sheet Metals,” J. Mater. Process. Technol., 72, pp. 256–261.

Figures

Grahic Jump Location
Schematic representation of cup drawing, and showing the coordinate system and dimensional system (referred to 27).
Grahic Jump Location
Comparison of the experimental and estimated datum of LDR for various sheet metals
Grahic Jump Location
Comparison of the experimental and estimated datum of Pd/Pc for various sheet metals
Grahic Jump Location
Calculated variation of LDR as a function of R
Grahic Jump Location
Calculated variation of LDR as a function of n
Grahic Jump Location
Calculated variation of LDR as a function of μ
Grahic Jump Location
Calculated variation of LDR as a function of t0/rd

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In