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Implementation issues of Yld2000-2d model under larger biaxial yield stress

机译：较大双轴屈服应力下的YLD2000-2D模型的实施问题

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摘要

In the field of sheet forming simulation, yield models serve as one of the most crucial factors for accurate computational results, and plane stress yield models have the capacity for both high efficiency and high accuracy. During recent years, applications of the Yld2000-2d model to sheet forming simulation of steel and aluminum have become increasingly popular due to its outstanding ability in describing these materials’ yield phenomena. For the computational implementation of this model, the Newton–Raphson iteration can correctly obtain the solutions of return mapping equations in most cases. However, it has been found in this work that the traditional iteration process may fall into a convergence problem when the yield stress is prominent ( σ _( b )/ σ _(0)?>?1.2). To solve the new finding problem, a line search algorithm is added to the Newton–Raphson iteration process. Biaxial tension simulation results show that the line search algorithm could converge successfully even when σ _( b )/ σ _(0)?=?1.4. The simulation of the Erichsen test shows the applicability of the established Yld2000-2d model combined with a line search algorithm in the Newton–Raphson iteration process.
机译：在表格仿真领域中，产量模型作为准确计算结果最关键的因素之一，并且平面应力产量模型具有高效率和高精度的能力。近年来，由于其突出的描述这些材料的产量现象，YLD2000-2D模型对钢和铝的模拟的应用越来越受欢迎。对于此模型的计算实现，在大多数情况下，牛顿Raphson迭代可以正确地获得返回映射方程的解。然而，在这项工作中发现，当屈服应力突出时，传统的迭代过程可能落入会聚问题（Σ_（b）/σ_（0）??>？> 1.2）。要解决新的发现问题，请将线路搜索算法添加到Newton-Raphson迭代过程中。双轴张力仿真结果表明，即使Σ_（b）/σ_（0）？=？1.4，线搜索算法也可以成功收敛成功。 ERICHSEN测试的仿真显示了已建立的YLD2000-2D模型的适用性与牛顿Raphson迭代过程中的线路搜索算法相结合。

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