In this work, the hydrostatic pressure-dependency of the distortional plasticity model HAH₂₀ was implemented using a finite element (FE) code to account for the strength-differential (SD) effect that has been observed in advanced high-strength steel sheets. To this end, a fully-implicit stress update algorithm formulation was introduced for the pressure-dependent plasticity theory. The implementation was validated by comparing the FE prediction of the material behavior during a number of tests with those of a stand-alone code of the constitutive description as well as with experimental data. In order to investigate the SD effect on the springback simulation results, the U-draw bending test was analyzed within this FE framework. Furthermore, in order to assess the effectiveness and stability of the formulation for a large-scale example, forming simulations of an automotive structural part were conducted. In addition to the SD effect, strain path changes and geometrical aspects were also investigated in this example. It was shown that the distortional plasticity-based pressure-dependent yield criterion well describes the asymmetric SD behavior in sheet metal forming simulations.

在这项工作中，变形塑性模型 HAH ₂₀的静水压力依赖性使用有限元 (FE) 代码实现了在高级高强度钢板中观察到的强度差异 (SD) 效应。为此，为压力相关塑性理论引入了一种完全隐式的应力更新算法公式。通过将大量测试期间材料行为的有限元预测与本构描述的独立代码以及实验数据进行比较，验证了该实施。为了研究 SD 对回弹模拟结果的影响，在这个有限元框架内分析了 U 型拉弯试验。此外，为了评估大规模示例配方的有效性和稳定性，对汽车结构部件进行了成型模拟。除了 SD 效果，在此示例中还研究了应变路径变化和几何方面。结果表明，基于变形塑性的压力相关屈服准则很好地描述了钣金成形模拟中的不对称 SD 行为。