A new linear yield criterion in terms of principal stresses is developed for the purpose of overcoming the analytical difficulty of mechanical parameters when using the nonlinear Mises yield criterion. This developed yield criterion is established through the parabola interpolation method and the mathematical averaging method, which can be called as the mean influence factor yield criterion, or called MIF yield criterion for short. The yield locus of the criterion on the \(\pi \)-plane is an equilateral and non-equiangular dodecagon, lies between the Tresca and TSS loci, and is very close to the locus of the Mises yield criterion. By comparing with the classical yield criteria, the MIF yield criterion varies linearly with the Lode parameter and has a good accuracy with experimental data. Moreover, based on the flow rule and the geometric projection of the principle stress components, the specific plastic work rate of the yield criterion is also derived. The criterion and its specific plastic work rate are used to solve the limit load of a simply supported circular plate and the forging of a rectangular bar, and both the corresponding analytical solutions are obtained. The theoretical results for the limit load and the forging force are in good agreement with the simulation and experimental data, respectively, and are more accurate than the results calculated from other yield criteria.

中文翻译：

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金属塑性变形新屈服准则的建议与应用

为了克服使用非线性米塞斯屈服准则时机械参数的分析难度，开发了一种基于主应力的新线性屈服准则。通过抛物线插值法和数学平均法建立了这种发达的屈服准则，可以将其称为平均影响因子屈服准则，简称为MIF屈服准则。\（\ pi \）上准则的产量轨迹平面是等边的和非等边的十二边形，位于Tresca和TSS位点之间，非常接近Mises产量标准的所在地。通过与经典屈服准则进行比较，MIF屈服准则随Lode参数线性变化，并具有良好的实验数据准确性。此外，根据流动规律和主应力分量的几何投影，还得出了屈服准则的比塑性工作率。该准则及其比塑性工作率用于求解简单支撑的圆形板的极限载荷和矩形棒材的锻造，并获得相应的解析解。极限载荷和锻造力的理论结果分别与仿真和实验数据吻合良好，