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首页> 外文期刊>Journal of Materials Engineering and Performance >On Predicting Forming Limits Using Hill's Yield Criteria
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On Predicting Forming Limits Using Hill's Yield Criteria

机译：使用希尔的屈服准则预测成形极限

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摘要

The analysis of localized necking is strongly dependent on the yield function. To predict forming limits, therefore, numerous yield criteria have been postulated to characterize the plastic deformation of sheet materials. Among them Hill's 1948 and the fourth form of 1979 yield criteria are the most commonly used. A new yield criterion was proposed by Hill in 1993. It uses five independent and easily obtainable material parameters, which makes it flexible in representing the shape of the yield locus for different materials. The present investigation compares these three yield criteria in forming limit predictions based on both the Marciniak and Kuczynski (M-K) approach and the bifurcation analysis. It is observed that the M-K analysis based on Hill's 1993 yield criterion provides forming limit predictions in agreement with experimental data. The bifurcation analysis based on Hill's 1948 yield criterion also provides an acceptable prediction of forming limits for aluminum, although they are slightly higher. All three yield criteria are found to provide acceptable predictions for aluminum-killed (AK) steel based on the M-K method. For brass, only the prediction based on the M-K method and Hill's 1993 yield criterion is close to the trend of experimental data.
机译：局部颈缩的分析很大程度上取决于屈服函数。因此，为了预测成形极限，已经提出了许多屈服准则来表征板材的塑性变形。其中最常用的是希尔（Hill）的1948年和1979年的第四种收益标准。 Hill在1993年提出了一个新的屈服准则，它使用了五个独立且易于获得的材料参数，这使得它可以灵活地表示不同材料的屈服轨迹的形状。本研究在基于Marciniak和Kuczynski（M-K）方法以及分叉分析的极限预测中比较了这三个产量标准。可以看出，基于Hill的1993年屈服准则的M-K分析提供了与实验数据一致的成形极限预测。基于希尔的1948年屈服准则的分叉分析也为铝的成形极限提供了可接受的预测，尽管它们稍高一些。发现所有三个屈服准则都可以基于M-K方法为铝镇静（AK）钢提供可接受的预测。对于黄铜，只有基于M-K方法和Hill的1993年屈服准则的预测才接近实验数据的趋势。

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