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Effect of yield surface distortion on the failure prediction of Mg alloy sheets

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Abstract

Strong initial and induced anisotropies, observed in the deformation of Mg alloys, have restricted their industrial applications. The initial anisotropic behavior is caused by the initial texture of Mg sheets which are fabricated by successive rolling operations. This behavior could be well described by appropriate yield criteria. However, the texture evolution inside the material induces the distortion of the yield surface, which has strong effects on the hardening and damage evolution. Classical isotropic and kinematic hardening could not precisely describe the induced anisotropic hardening. Therefore, distortional hardening, describing the shape alteration of the yield surface, should be considered in modeling the mechanical behaviors of Mg alloy sheets. In this study, a plasticity model fully coupled with isotropic damage for Mg alloys is proposed, and the constitutive equations are formulated within the thermodynamic framework using state variables. The current constitutive model could accurately reproduce the stress–strain evolution under tension, shear and compression for Mg alloy AZ31. In addition, both of the initial anisotropic yield surface and the subsequent distorted yield surface are captured correctly, and the failure under combined loading path is well predicted by the proposed model.

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Acknowledgements

The first author appreciates the finical support from Fundamental Research Funds for the Central Universities (20CX06023A) and Qingdao Postdoctoral Applied Research Program (QD20190014). The second author acknowledges the financial support from Shandong Provincial Natural Science Foundation (ZR2019BEM012). Thanks are due to Prof. Z. Yue and Dr. S. Wang (SDU, China) for their help of performing the experiments.

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Authors and Affiliations

  1. Department of Engineering Mechanics, College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao, 266580, China

    Kai Zhang & Jianlin Liu

  2. School of Material Science and Engineering, Shandong University of Science and Technology, Qingdao, 266580, China

    Hao Li

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  1. Kai Zhang
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Correspondence to Kai Zhang or Jianlin Liu.

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Zhang, K., Li, H. & Liu, J. Effect of yield surface distortion on the failure prediction of Mg alloy sheets. Arch Appl Mech 91, 151–167 (2021). https://doi.org/10.1007/s00419-020-01760-w

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