A Consistent Criterion For Diffuse Necking In Sheet Metals Using Hill's 1979 Yield Surface
Esche, S. K. & Shivpuri, R.
Journal of Engineering Materials and Technology, Transactions of the ASME, Vol. 120, No. 2, pp. 177-182, 1998.
Abstract
A critical review of some existing criteria for diffuse necking in sheet metals is given. The introduction into production of new sheet materials whose plastic deformation is impossible to be modeled using Hill's old 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 that can be described by Hill's new normally anisotropic yield function is presented. The proposed criterion is consistent with the previous criteria. It predicts a significant effect of Hill's 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.