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TECHNICAL PAPERS

A Unified Bifurcation Analysis of Sheet Metal Forming Limits

[+] Author and Article Information
Xinhai Zhu

Livermore Software Technology Co., 7374 Las Positas Rd., Livermore, CA 94550

Klaus Weinmann

Department of ME-EM, Michigan Technological University, 1400 Townsend Drive, Houghton, MI 49931-1295

Abhijit Chandra

Department of Mechanical Engineering, Iowa State University, Ames, IA 50011

J. Eng. Mater. Technol 123(3), 329-333 (Feb 07, 2001) (5 pages) doi:10.1115/1.1370397 History: Received April 24, 2000; Revised February 07, 2001
Copyright © 2001 by ASME
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References

Keeler S. P., 1965, “Determination of Forming Limits in Automotive Stamping,” SAE Technical Paper No. 650535.
Swift,  H. W., 1952, “Plastic Instability Under Plane Stress,” J. Mech. Phys. Solids, 1, pp. 1–18.
Hill,  R., 1952, “On Discontinuous Plastic States, With Special Reference to Localized Necking in Thin Sheets,” J. Mech. Phys. Solids, 1, pp. 19–30.
Keeler,  S. P., and Backofen,  W. A., 1963, “Plastic Instability and Fracture in Sheets Stretched Over Rigid Punches,” Trans. ASM, 56, pp. 25–48.
Marciniak,  Z., and Kuczynski,  K., 1967, “Limits Strains in The Processes of Stretch-Forming Sheet Metal,” Int. J. Mech. Sci., 9, pp. 609–620.
Van Minh,  H., Sowerby,  R., and Duncan,  J. L., 1975, “Probabilistic Model of Limit Strains in Sheet Metal,” Int. J. Mech. Sci., 17, pp. 339–349.
Needleman,  A., and Triantafyllidis,  N., 1978, “Void Growth and Local Necking in Biaxially Stretched Sheets,” ASME J. Eng. Mater. Technol., 100, pp. 164–169.
Hutchinson J. W. and Neale, K. W., 1978, “Sheet Necking-II, Time-Independent Behavior,” Mechanics of Sheet Metal Forming, D. P. Koistinen and N. M. Wang, eds., Plenum, New York, pp. 111–126.
Stören,  S., and Rice,  J. R., 1975, “Localized Necking in Thin Sheets,” J. Mech. Phys. Solids, 23, pp. 421–441.
Zhu, X. H., 1999 “Theoretical Analysis of Sheet Metal Formability,” Michigan Technological University, Ph.D. dissertation.
Rudnicki,  J. W., and Rice,  J. R., 1975, “Conditions for The Localization of Deformation in Pressure-sensitive Dilatant Materials,” J. Mech. Phys. Solids, 23, pp. 371–394.
Hecker, S. S., 1975, “A Simple Technique for Determining Forming Limit Curves,” Sheet Metal Ind., pp. 671–676.

Figures

Grahic Jump Location
Illustration of a localized neck in the plane of the sheet
Grahic Jump Location
Comparison of the present prediction with experimental data (material: aluminum, n=0.245, from Hecker 12)
Grahic Jump Location
Illustration of perturbed forces around the necked region

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