Most sheet metals are orthorhombic aggregates of cubic crystallites. Here a new Drucker yield function with four material parameters \((Y_{\mathrm{iso}},\kappa ,\beta ,\gamma )\) and three texture coefficients \(c_{m0}^{4}\) (\(m=0,2,4\)) is proposed for orthorhombic aggregates of cubic crystallites, where \((Y_{\mathrm{iso}},\kappa )\) and \((\beta ,\gamma )\) pertain to the isotropic and anisotropic parts of the yield function, respectively. A correspondence function, which gives good agreement between the (isotropic) Drucker yield function and its Hershey yield function counterpart, is determined. Based on data generated by the Taylor–Bishop–Hill theory, the parameters \((Y_{\mathrm{iso}},\kappa )\) and \((\beta ,\gamma )\) of the new Drucker yield function for orthorhombic aggregates of FCC crystallites are determined under the conditions of biaxial stress and uniaxial stress, respectively. The new Drucker yield function thus obtained accurately reproduces the predictions from the Taylor–Bishop–Hill theory. The uniaxial tensional yield stress \(Y_{\theta }\) and the \(q\)–value \(q_{\theta }\) delivered by the new Drucker yield function are consistent with experimental data \((Y_{i},q_{i})\) on sheets of AA3003-O aluminum and two HSS Y350 steels. The material parameters \((Y_{\mathrm{iso}},\beta c_{m0}^{4},\gamma c_{m0}^{4})\) in the new Drucker yield function are determined through experimental data on angular dependence of uniaxial stress.

大多数金属板材是立方微晶的正交晶系聚集体。这里有一个新的 Drucker 屈服函数，具有四个材料参数\((Y_{\mathrm{iso}},\kappa ,\beta ,\gamma )\)和三个纹理系数\(c_{m0}^{4}\) ( \(m=0,2,4\) ) 被提议用于立方微晶的正交聚集体，其中\((Y_{\mathrm{iso}},\kappa )\)和\((\beta ,\gamma )\ )分别属于屈服函数的各向同性和各向异性部分。确定了一个对应函数，该函数在（各向同性）Drucker 屈服函数与其对应的 Hershey 屈服函数之间给出了良好的一致性。基于 Taylor-Bishop-Hill 理论生成的数据，参数在双轴应力和单轴应力，分别。由此获得的新 Drucker 屈服函数准确地再现了 Taylor-Bishop-Hill 理论的预测。新德鲁克屈服函数给出的单轴拉伸屈服应力\(Y_{\theta }\)和\(q\) -值\(q_{\theta }\)与实验数据\((Y_{i },q_{i})\)在 AA3003-O 铝和两种 HSS Y350 钢片上。材料参数\((Y_{\mathrm{iso}},\beta c_{m0}^{4},\gamma c_{m0}^{4})\)在新的 Drucker 屈服函数中，通过关于单轴应力的角度依赖性的实验数据确定。