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**Author details** 

**Acknowledgement** 

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**6. References** 

The emphasis in this chapter has been on cubic metals, and all calculations were carried out using either Full-Contraint or Self-Consistent models. All simulations clearly show that there are differences between the MK-VPSC and MK-FC assumptions, although the shapes and levels of the predicted FLDs are similar in the tension-compression range. Some

• Non-textured FCC and BCC materials were investigated, imposing the same uniaxial behaviors for all simulations. The FLDs clearly depended on the homogenization scheme, and those differences were interpreted in terms of the sharpness of the yield-

• For FCC texture materials, the MK-VPSC approach successfully predicts a smooth transition in the limit strains from the ideal cube texture, through dispersions around the cube texture with increasing cut-off angles, ending with a random texture. Important differences that increase with an increasing spread in texture distribution, particularly near equibiaxial strain-path, were found between the MK-FC and the MK-

• In order to verify the capability of the MK-VPSC model for predicting actual experimental limit strains for BCC textured materials, we carried out simulations for two different LCS steel sheets. The simulations gave good predictions of the steel's behavior over the complete biaxial range. To the contrary, the MK-FC model predicts extremely high limit strains as pure biaxial tension is approached, though both MK-FC and MK-VPSC predictions appear to be accurate on the tensile side of the plane

examples were analyzed in order to highlight these differences:

Javier W. Signorelli and María de los Angeles Bertinetti

*Instituto de Física Rosario (IFIR), CONICET–UNR, Rosario, Argentina* 

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