Optimization of Formability Limit Diagram Prediction in BCC, FCC, and HCP Materials

Abstract

The conjunction of the Marciniak-Kuczynski approach and viscoplastic self-consistent model (MK-VPSC) allows for the prediction of Forming Limit Diagrams (FLD) for materials with BCC, FCC and HCP structures within the framework of crystal plasticity. In E. Nicoletti et al., JMEP, 1544-1024 (2023), the MK-VPSC model was calibrated using affine and tangent linearizations based on tensile tests. The authors also determined how the results depended on the availability of slip systems and the evolution of crystallographic texture. The present work aims to discuss the effect of the linearization employed in predicting the limit strain in terms of texture evolution. This ensures a rigorous validation of the model used. The results are evaluated considering crystallographic textures of the tested materials in two different deformation states. Additionally, contributions and limitations of a scheme that considers neighboring crystal interactions was analyzed. The scheme accounts for the local interactions caused by grains reorientating during deformation.