Abstract
The influence of plastic anisotropy and the shape of the yield surface on localized necking of thin metal sheets is examined. Forming limit curves (FLCs) of strain hardening, rate-sensitive sheets including Ti alloys, Al alloys, and steels are calculated on the basis of the Marciniak-Kuczynski approach using the quadratic Hill or the Drucker yield function in conjunction with either the flow or deformation theory of plasticity. The roles of the R-value and the yield surface shape in biaxial stretchability of sheet metals are delineated and discussed in relation to the plasticity theories and yield functions. It is concluded that the limit strains decrease with increasing R-value in the ε2 > 0 region of an FLC but increase with the R-value in the ε2 0 region, and are independent of the R-value at plane strain conditions. These mixed, strain-path dependent effects are explained in terms of the shape of the yield surface and a recently proposed critical thickness strain criterion.
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Chan, K.S. Effects of plastic anisotropy and yield surface shape on sheet metal stretchability. Metall Trans A 16, 629–639 (1985). https://doi.org/10.1007/BF02814237
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DOI: https://doi.org/10.1007/BF02814237