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Experimental and Numerical Analysis on the Formability of a Heat-Treated AA1100 Aluminum Alloy Sheet

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Abstract

The objective of this work is to experimentally and numerically determine the influence of plastic anisotropy on the forming limit curve (FLC) for a heat-treated (300 °C-1 h) AA1100 aluminum alloy sheet. The FLCs were obtained by the Nakajima test, where the anisotropy effect on the FLC was evaluated using hourglass-type samples taken at 0°, 45°, and 90° with respect to the sheet rolling direction. The effect of crystal orientations on the FLC is investigated using three micro-macro averaging schemes coupled to a Marciniak and Kuczynski (MK) analysis: the tangent viscoplastic self-consistent (VPSC), the tuned strength αVPSC, and the full-constraint Taylor model. The predicted limit strains in the left-hand side of the FLC agree well with experimental measurements along the three testing directions, while differences are found under biaxial stretching modes. Particularly, MK-VPSC predicts an unexpected limit strain profile in the right-hand side of the FLC for samples tested along the transverse direction. Only MK-αVPSC, with a tuning factor of 0.2, predicts satisfactorily the set of FLC measurements. Finally, the correlation of the predicted limit strains with the predicted yield surface by each model was also discussed.

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Acknowledgments

The authors are grateful for the financial support provided by CONICYT (Fondecyt Project No. 1130404 and ECOS-CONICYT Project 2011 C11 E06). This work was funded by the CONICET (PIP 2011-2013 and PICT 2013-0588). The authors would like to thank C. Sobrero and R. Bolmaro for their significant help in the use of the x-ray equipment.

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Authors and Affiliations

  1. Departamento de Ingeniería Mecánica y Metalúrgica, Research Center for Nanotechnology and Advanced Materials (CIEN-UC), Pontificia Universidad Católica de Chile (PUC), Santiago, Chile

    Alicia I. Durán & Diego J. Celentano

  2. Instituto de Física Rosario, Universidad Nacional de Rosario (UNR), Rosario, Argentina

    Javier W. Signorelli

  3. Departamento de Ingeniería Mecánica, Universidad de Santiago de Chile (USACH), Santiago, Chile

    Marcela A. Cruchaga

  4. ICD-LASMIS, UMR CNRS 6279, Université de Technologie de Troyes (UTT), Troyes, France

    Manuel François

Authors
  1. Alicia I. Durán
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  2. Javier W. Signorelli
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  3. Diego J. Celentano
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  4. Marcela A. Cruchaga
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  5. Manuel François
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Corresponding author

Correspondence to Javier W. Signorelli.

Appendix

Appendix

To highlight the influence introduced by the fact that the model calibration considers results along RD, we repeated the simulations shown in Fig. 12 but assuming that all the material parameters at the single crystal level were calibrated using tensile test results along TD, and the MK imperfection factor was adjusted according to the corresponding limit strain at the plane strain condition also for TD specimens. The computed results do not exhibit qualitative differences between them, showing that the predicted limit strain profiles are not significantly sensitive to minor differences in the strain-stress behavior. As an example, Fig. 16 shows comparatively the limit strains values calculated using the MK-αVPSC model calibrated using RD or TD experimental data. Similar remarks can be done for the other two polycrystalline homogenization schemes used in the simulations (i.e., tangent VPSC and FC models) and for the diagonal direction (DD), considering either the power or saturation hardening law.

Fig. 16
figure 16

Predicted forming limit curves along RD, DD, and TD. (Solid symbol) experimental data and (open symbol) for MK-FC, MK-αVPSC, and MK-VPSC simulations. Model calibrated along TD

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Durán, A.I., Signorelli, J.W., Celentano, D.J. et al. Experimental and Numerical Analysis on the Formability of a Heat-Treated AA1100 Aluminum Alloy Sheet. J. of Materi Eng and Perform 24, 4156–4170 (2015). https://doi.org/10.1007/s11665-015-1684-x

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  • DOI: https://doi.org/10.1007/s11665-015-1684-x

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