The Hosford yield function can be used to describe both the plastic yield and plastic deformation of metal plates very well when the value of its exponential parameter \(\eta\) is known. The values of \(\eta\) for BCC and FCC metals have been determined to be 6 and 8, respectively, based on the Taylor crystal plasticity model. However, an effective experimental method has not been developed to determine the value of \(\eta\) for metal plates. This work addresses the above issue by developing an experimental method for determining the value of \(\eta\) for metal plates based on a theoretical model. Deep drawing experiments are conducted with 0.8 mm thick 5052 aluminum alloy plates, and the experimental value of \(\eta\) is determined according to the theoretical model based on the experimentally measured thickness anisotropy coefficient, the known drawing coefficient, and the radial elongation ratio of the drawing cup obtained during the deep drawing experiments. The experiments yield an \(\eta\) value of 8.02 for the aluminum alloy plates. The experimental value is verified by applying it within deep drawing simulations using Dynaform software based on the finite element method. The simulated cup height is in good agreement with the experimentally derived cup height. The value of \(\eta\) can be determined for metal plates through deep drawing experiments based on the proposed methodology.

当已知其指数参数\（\ eta \）的值时，可以使用Hosford屈服函数很好地描述金属板的塑性屈服和塑性变形。根据泰勒晶体可塑性模型，BCC和FCC金属的\（\ eta \）值分别确定为6和8。但是，尚未开发出一种有效的实验方法来确定金属板的\（\ eta \）值。这项工作通过开发一种基于理论模型确定金属板\（\ eta \）值的实验方法来解决上述问题。用0.8 mm厚的5052铝合金板进行深冲实验，实验值\（\ eta \）根据理论模型，根据实验模型测得的厚度各向异性系数，已知的拉伸系数以及在深冲实验中获得的拉伸杯的径向伸长率，确定Δε。实验得出的铝合金板的\（\ eta \）值为8.02。通过使用基于有限元方法的Dynaform软件在深冲压仿真中应用实验值，可以验证实验值。模拟的杯子高度与实验得出的杯子高度高度吻合。可以根据所提出的方法通过深冲实验确定金属板的\（\ eta \）值。