A Consistent Criterion for Diffuse Necking in Sheet Metals Using Hill’s 1979 Yield Surface

[+] Author and Article Information
S. K. Esche

Department of Mechanical Engineering, Stevens Institute of Technology, Castle Point on Hudson, Hoboken, NJ 07030

R. Shivpuri

Department of Industrial, Welding, and System Engineering, The Ohio State University, 1971 Neil Avenue, Columbus, OH 43210

J. Eng. Mater. Technol 120(2), 177-182 (Apr 01, 1998) (6 pages) doi:10.1115/1.2807008 History: Received December 24, 1996; Revised December 22, 1997; Online November 27, 2007


A review of some existing criteria for diffuse necking in sheet metals is given and their limitations are discussed. The introduction into production of new sheet materials whose plastic deformation is impossible to be modeled using Hill’s 1948 anisotropic yield function necessitates improvements of these existing criteria to accurately describe their necking behavior. In this paper, a generalization of the existing diffuse necking criteria for materials describable by Case IV of Hill’s 1979 anisotropic yield function is presented. The proposed criterion is consistent with the previous criteria. It predicts a significant effect of Hill’s 1979 yield surface shape factor on the critical principal strain in the range of negative minor strains while in the range of biaxial tension this influence is small.

Copyright © 1998 by The American Society of Mechanical Engineers
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