The present study is devoted to extending Barlat’s famous yield criteria to tension–compression asymmetry by a novel method originally introduced by Khan, which can decouple the anisotropy and tension–compression asymmetry characteristics. First, Barlat (1987) isotropic yield criterion, which leads to a good approximation of yield loci calculated by the Taylor–Bishop–Hill crystal plasticity model, is extended to include yielding asymmetry. Furthermore, the famous Barlat (1989) anisotropic yield criterion, which can well describe the plastic behavior of face-centered cubic (FCC) metals, is extended to take the different strength effects into account. The proposed anisotropic yield criterion has a simple mathematical form and has only five parameters when used in planar stress states. Compared with existing theories, the new yield criterion has much fewer parameters, which makes it very convenient for practical applications. Furthermore, all coefficients of the criterion can be determined by explicit expressions. The effectiveness and flexibility of the new yield criterion have been verified by applying to different materials. Results show that the proposed theory can describe the plastic anisotropy and yielding asymmetry of metals well and the transformation onset of the shape memory alloy, showing excellent predictive ability and flexibility.

中文翻译：

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将Barlat屈服准则扩展到拉伸压缩不对称性：建模和验证

本研究致力于通过Khan最初提出的一种新方法将Barlat著名的屈服准则扩展到拉压不对称性，该方法可以将各向异性和拉压不对称性分离。首先，将Barlat（1987）的各向同性屈服准则扩展为包括屈服不对称性，该屈服准则可以很好地近似由Taylor-Bishop-Hill晶体塑性模型计算的屈服轨迹。此外，扩展了著名的Barlat（1989）各向异性屈服准则，该准则可以很好地描述面心立方（FCC）金属的塑性行为，并考虑到了不同的强度效应。提出的各向异性屈服准则具有简单的数学形式，并且在平面应力状态下使用时只有五个参数。与现有理论相比，新的产量标准具有更少的参数，这使其在实际应用中非常方便。此外，标准的所有系数都可以通过显式表达式确定。通过适用于不同的材料，已验证了新产量准则的有效性和灵活性。结果表明，所提出的理论可以很好地描述金属的塑性各向异性和屈服不对称性以及形状记忆合金的转变开始，具有良好的预测能力和柔韧性。