Abstract

The recently proposed Critical Specific Tension (CST) model is jointly used with the well‐known Marciniak and Kuczyński (M‐K) model to predict localized necking in anisotropic sheet metals in the regime of negative and positive minor in‐plane strains, respectively. A significantly simplified method is presented to calculate the critical tensile stress required in the CST model, without the need of iterative computations. In the present work the CST/M‐K model is used along with a rate‐independent phenomenological elasto‐plastic constitutive model as well as the known visco‐plastic self‐consistent (VPSC) crystal plasticity model developed by Tomé and Lebensohn. A comparison between experimental data and the limit strains predicted by means of the phenomenological constitutive model reveals a very good agreement. In order to validate the correctness of the non‐trivial computational implementation of the VPSC‐based CST/M‐K model the predicted necking strains are compared with results obtained by using the phenomenological constitutive model. It is shown that the results of both approaches are in good agreement.

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