Applicability of Hill48 Yield Model and Effect of Anisotropic Parameter Determination Methods on Anisotropic Prediction
Applicability of Hill48 Yield Model and Effect of Anisotropic Parameter Determination Methods on Anisotropic Prediction
复制标题
DOI：
10.1007/s11665-021-06366-z
复制
发表时间：
2021-11
影响因子：
2.3
通讯作者：
Z. Mu;Jun-min Zhao;Q. Meng;Xue-ying Huang;G. Yu
中科院分区：
文献类型：
--
作者：
Z. Mu;Jun-min Zhao;Q. Meng;Xue-ying Huang;G. Yu
本文研究了Hill48屈服模型在预测定向屈服应力和塑性应变比（r值）方面的局限性。根据理论推导，Hill48计算的单轴拉伸屈服应力和r值随角度的变化规律有几种固有形式。以DC04、DP600和AA3104三种材料为研究对象，基于不同数量的实验数据，分别采用直接解法和非关联流动规律（non-AFR）法分析了各向异性参数和预测误差。结果表明，Hill48屈服模型的预测精度主要取决于材料的各向异性行为是否满足上述变化规律，而与r的取值没有直接关系。在此基础上，在关联流规则下，提出了一种基于代价函数条件极值的各向异性参数辨识方法。与直接解法相比，可显著提高低碳钢材料的预测精度。研究结果为Hill48模型在板料成形中的合理应用提供了详细的见解，并为研究其他先进的屈服模型的局限性提供了参考。
In this paper, the limitations of the Hill48 yield model in predicting directional yield stresses and plastic strain ratios (r-values) were investigated. According to a theoretical derivation, there are several inherent forms of the variation law of uniaxial tensile yield stress andr-value with angles calculated by Hill48. Three types of materials, DC04, DP600 and AA3104, were taken as research objects, and the anisotropic parameters and prediction errors were obtained by direct solution methods and the non-associated flow rule (non-AFR) methods based on different numbers of experimental data were analyzed. The results show that the prediction accuracy of the Hill48 yield model mainly depends on whether the anisotropic behavior of the material satisfies the above change law and is not directly related to the value ofr. On this basis, under the associated flow rule, an anisotropic parameter identification method based on the conditional extremum of the cost function was proposed. It can significantly improve the prediction accuracy of low-carbon steel materials compared with the direct solution method. The research results provide detailed insight into the reasonable application of the Hill48 model in sheet metal forming and a reference for investigating the limitations of other advanced yield models.