Abstract

This paper explores springback levels in AA6016-T4 sheets that were first pre-strained to various levels in uniaxial, plane-strain, and biaxial tension, then subjected to a pure bending operation and released. Finite element modeling of the pre-strain and bending steps was performed using both isotropic and elasto-plastic self-consistent (EPSC) crystal plasticity approaches. Because the EPSC model incorporates backstresses informed by GND content, the springback predictions were far more accurate than those of the isotropic model. In the unstrained base material, the EPSC predictions had a maximum error of 7% versus experiment, compared to 49% for the isotropic approach. The EPSC model accurately predicted the transition from springforward to springback as a function of applied pre-strain, but only when the backtress term was included in the hardening law. The backstress contribution was also found to be increasing influential in predicting springback as pre-strain levels increased, especially in the case of a uniaxial tension pre-strain.

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References

  1. Boers, S.H.A., et al.: Experimental characterization and model identification of directional hardening effects in metals for complex strain path changes. Int. J. Solids Struct. 47(10), 1361–1374 (2010)

    Article  Google Scholar 

  2. El-Madhoun, Y., Mohamed, A., Bassim, M.: Cyclic stress–strain response and dislocation structures in polycrystalline aluminum. Mater. Sci. Eng. A 359(1–2), 220–227 (2003)

    Article  Google Scholar 

  3. Moan, G., Embury, J.: A study of the bauschinger effect in Al-Cu alloys. Acta Metall. 27(5), 903–914 (1979)

    Article  CAS  Google Scholar 

  4. Stoltz, R., Pelloux, R.: Cyclic deformation and bauschinger effect in Al-Cu-Mg alloys. Scr. Metall. 8(3), 269–275 (1974)

    Article  CAS  Google Scholar 

  5. Stoltz, R.E., Pelloux, R.M.: The Bauschinger effect in precipitation strengthened aluminum alloys. Metall. Trans. A 7(8), 1295–1306 (1976)

    Article  Google Scholar 

  6. Ashby, M.F.: The deformation of plastically non-homogeneous materials. Phil. Mag. 21, 399–424 (1970)

    Article  CAS  Google Scholar 

  7. Shen, Z., Wagoner, R.H., Clark, W.A.T.: Dislocation and grain boundary interactions in metals. Acta Metall. 36(12), 3231–3242 (1988)

    Article  CAS  Google Scholar 

  8. Field, D.P., et al.: Analysis of local orientation gradients in deformed single crystals. Ultramicroscopy 103, 33–39 (2005)

    Article  CAS  Google Scholar 

  9. Wagoner, R.H., Lim, H., Lee, M.-G.: Advanced Issues in springback. Int. J. Plast 45, 3–20 (2013)

    Article  Google Scholar 

  10. Neil, C.J., et al.: Modeling lattice strain evolution at finite strains and experimental verification for copper and stainless steel using in situ neutron diffraction. Int. J. Plast 26(12), 1772–1791 (2010)

    Article  CAS  Google Scholar 

  11. Wollmershauser, J.A., Clausen, B., Agnew, S.R.: A slip system-based kinematic hardening model application to in situ neutron diffraction of cyclic deformation of austenitic stainless steel. Int. J. Fatigue 36(1), 181–193 (2012)

    Article  CAS  Google Scholar 

  12. Zecevic, M., Knezevic, M.: A dislocation density based elasto-plastic self-consistent model for the prediction of cyclic deformation: application to AA6022-T4. Int. J. Plast 72, 200–217 (2015)

    Article  CAS  Google Scholar 

  13. Zecevic, M., et al.: Dual-phase steel sheets under cyclic tension–compression to large strains: experiments and crystal plasticity modeling. J. Mech. Phys. Solids 96, 65–87 (2016)

    Article  CAS  Google Scholar 

  14. Zecevic, M., Knezevic, M.: An implicit formulation of the elasto-plastic self-consistent polycrystal plasticity model and its implementation in implicit finite elements. Mech. Mater. 136, 103065 (2019)

    Article  Google Scholar 

  15. Eghtesad, A., Barrett, T.J., Knezevic, M.: Compact reconstruction of orientation distributions using generalized spherical harmonics to advance large-scale crystal plasticity modeling: verification using cubic, hexagonal, and orthorhombic polycrystals. Acta Mater. 155, 418–432 (2018)

    Article  CAS  Google Scholar 

  16. Daroju, S., et al.: Experimental characterization and crystal plasticity modeling for predicting load reversals in AA6016-T4 and AA7021-T79. Int. J. Plast 153, 103292 (2022)

    Article  CAS  Google Scholar 

  17. Sharma, R., et al.: Multi-strain path deformation behavior of AA6016-T4: experiments and crystal plasticity modeling. Int. J. Solids Struct. 244, 111536 (2022)

    Article  Google Scholar 

  18. Li, K.P., Carden, W.P., Wagoner, R.H.: Simulation of springback. Int. J. Mech. Sci. 44(1), 103–122 (2002)

    Article  Google Scholar 

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Sargeant, D., Sarkar, M.Z., Sharma, R., Knezevic, M., Fullwood, D., Miles, M. (2024). Modeling the Effect of Backstress on Springback Predictions in AA 6016-T4 as a Function of Pre-strain. In: Mocellin, K., Bouchard, PO., Bigot, R., Balan, T. (eds) Proceedings of the 14th International Conference on the Technology of Plasticity - Current Trends in the Technology of Plasticity. ICTP 2023. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-031-40920-2_70

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  • DOI: https://doi.org/10.1007/978-3-031-40920-2_70

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