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基于刚塑性材料在平面应力条件下变形的 M?K 理论对 AZ31镁合金在温热状态下的成形极限图(FLD)进行了预测,在理论预测时采用von Mises和Hill’48屈服准则。通过单向拉伸实验获得所用的AZ31镁合金板的力学性能,同时在分析时引入Fields?Backofen本构方程。此外,采用刚性凸模胀形方法获得了AZ31镁合金板在不同温度下的实验FLD曲线用以验证理论预测结果。通过对473 K和523 K下理论预测FLD与实验FLD间的比较,发现理论预测结果受计算时所采用的屈服准则的影响,特别是在温度较低时。采用 Hill’48二次型各向异性屈服准则获得的FLD与实验数据有较好的一致性。

A theoretical prediction on forming limit diagram (FLD) of AZ31 magnesium alloy sheet was developed at warm temperatures based on the M?K theory. Two different yield criteria of von Mises and Hill’48 were applied in this model. Mechanical properties of AZ31 magnesium alloy used in the prediction were obtained by uniaxial tensile tests and the Fields?Backofen equation was incorporated in the analysis. In addition, experimental FLDs of AZ31 were acquired by conducting rigid die swell test at different temperatures to verify the prediction. It is demonstrated from a comparison between the predicted and the experimental FLDs at 473 K and 523 K that the predicted results are influenced by the type of yield criterion used in the calculation, especially at lower temperatures. Furthermore, a better agreement between the predicted results and experimental data for AZ31 magnesium alloy sheet at warm temperatures was obtained when Hill’48 yield criterion was applied.

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