This research couples a Lode-dependent anisotropic-asymmetric (LAA) frame (Lou and Yoon, 2023. International Journal of Plasticity, 166, 103,647) with a stress-invariant-based coupled quadratic-non-quadratic (CQN) anisotropic hardening function to analytically characterize the anisotropic-asymmetric hardening of sheet metals under uniaxial tension and uniaxial compression. Experiments are conducted for AA2A12-O under uniaxial tension, uniaxial compression, equibiaxial tension, plane strain tension and shear. Anisotropy is investigated by conducting the experiments along different loading directions from the rolling. The flow curves are obtained from these experimental data at distinct stress states and loading directions. The plastic hardening is represented by the CQN-coupled LAA function to verify its accuracy. The CQN-coupled LAA model is also utilized to represent the plastic flow of DP980 under uniaxial tension, uniaxial compression, shear and plane strain tension along different loading directions as well as equibiaxial tension. The application to AA2A12-O and DP980 demonstrates that the CQN-coupled LAA function is capable of modeling plastic hardening behaviors under uniaxial tension, uniaxial compression, equibiaxial tension and equibiaxial compression and dramatically improving the prediction accuracy of flow curves under plane strain tension.

中文翻译：

---

用于压力不敏感材料的各向同性和各向异性硬化的依赖于矿脉的各向异性-不对称屈服函数。第二部分：基于应力不变的耦合二次和非二次函数


这项研究将依赖于 Lode 的各向异性非对称 (LAA) 框架（Lou 和 Yoon，2023。International Journal of Plasticity, 166, 103,647）与基于应力不变的耦合二次非二次 (CQN) 各向异性硬化函数结合起来，分析表征单轴拉伸和单轴压缩下金属板材的各向异性非对称硬化。对AA2A12-O进行了单轴拉伸、单轴压缩、等双轴拉伸、平面应变拉伸和剪切实验。通过沿着轧制的不同载荷方向进行实验来研究各向异性。流动曲线是根据不同应力状态和加载方向的这些实验数据获得的。塑性硬化由 CQN 耦合的 LAA 函数表示，以验证其准确性。 CQN耦合LAA模型还用于表示DP980在单轴拉伸、单轴压缩、沿不同加载方向的剪切和平面应变拉伸以及等双轴拉伸下的塑性流动。在AA2A12-O和DP980上的应用表明，CQN耦合的LAA函数能够模拟单轴拉伸、单轴压缩、等双轴拉伸和等双轴压缩下的塑性硬化行为，并显着提高平面应变拉伸下流动曲线的预测精度。