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An Investigation on the Anisotropic Plastic Behavior and Forming Limits of an Al-Mg-Li Alloy Sheet

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Abstract

For the Al-Mg-Li alloy sheet with significant anisotropy, the uniaxial and cruciform biaxial tension tests and the Nakazima test are firstly performed to systematically determine the mechanical properties (including strength coefficient, strain hardening exponent, normal anisotropy coefficient, experimental yielding points and forming limits) of this sheet. Afterward, the widely used Hill’s 48 and Yld2000-2d yield criteria are, respectively, identified to describe the yield locus of this sheet and compared with the experimental yielding points. Comparison shows that the identified Yld2000-2d yield function provides a better description of the yield locus for the Al-Mg-Li alloy sheet. Finally, the forming limits of this sheet are predicted by the modified M-K (Marciniak–Kuczyński) model with the Yld2000-2d yield criterion identified in this work. The results show that the predicted forming limits correspond well with the experimental ones within the whole range of strain paths.

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Abbreviations

rb :

Biaxial anisotropy coefficient

α 1~α 8, m:

Parameters in the Yld2000-2d yield function

α b :

Equi-biaxial yielding stress

\(\bar{\sigma }\) :

Equivalent stress

f 0, f :

Initial and instant thickness imperfection coefficients in M-K model

α k , γ k, η k :

Simplified notations (k=a or b) for calculation in M-K model

ω 1 k , ω 2 k, ω 3 k :

Simplified notations (k=a or b) for calculation in M-K model

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Acknowledgment

The authors would like to acknowledge the financial support from National Natural Science Foundation of China (51975330, 51735008) and Key Research and Development Program of Shandong Province (2019JZZY010360). The authors also gratefully acknowledge the beneficial help from Prof. Min Wan and Prof. Xiangdong Wu in Beihang University for providing the support of cruciform biaxial test.

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  1. Key Laboratory for Liquid-Solid Structural Evolution & Processing of Materials (Ministry of Education), Shandong University, Jinan, Shandong, 250061, People’s Republic of China

    Yubao Wang, Cunsheng Zhang, Yinghao Wang, Guoqun Zhao & Liang Chen

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  1. Yubao Wang
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Wang, Y., Zhang, C., Wang, Y. et al. An Investigation on the Anisotropic Plastic Behavior and Forming Limits of an Al-Mg-Li Alloy Sheet. J. of Materi Eng and Perform 30, 8224–8234 (2021). https://doi.org/10.1007/s11665-021-05981-0

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