Abstract In this paper, the interpolation-type plane stress anisotropic yield models are proposed. The models are built in a specific three-dimensional oblique coordinate system by sequentially constructing three specific ``longitude lines" and two sets of quasi-orthogonal ``latitude lines" on the tricomponent yield surface. The three ``longitude lines" act as the trajectories of the endpoints of the ``latitude lines", and the semi-yield surface is formed by the continuous variation of the ``latitude lines" along the trajectories. These curves are constructed by parametric Bezier curves, and different order schemes are adopted for “latitude lines” and “longitude lines”. Some coefficients in the expression of “latitude lines” are represented by specific analytic functions, which are related to the distortion of yield loci with the increase of τxy-component. According to whether the asymmetry of tension and compression when yielding is considered, two corresponding models are proposed. We also obtain corresponding simplified forms by omitting the parameter determination of the "latitude lines". The yield loci, flow stresses and r-valus of five kinds of materials with three lattice types were predicted by full-parameter models and simplified models, which showed the accuracy of the proposed models for predicting yield behavior of various materials.

中文翻译：

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基于插值的平面应力各向异性屈服模型

摘要 本文提出了插值式平面应力各向异性屈服模型。模型建立在特定的三维斜坐标系中，在三分量屈服面上依次构建三个特定的“经线”和两组准正交的“纬度线”。三条“经线”作为“纬线”端点的轨迹，“纬线”沿轨迹连续变化形成半屈服面。这些曲线由参数贝塞尔曲线，“纬度线”和“经度线”采用不同的阶式方案，“纬度线”表达式中的一些系数用特定的解析函数表示，这与随着τxy分量的增加屈服轨迹的畸变有关。根据屈服时是否考虑拉压不对称，提出了两种对应的模型。通过省略“纬度线”的参数确定，我们也得到了相应的简化形式。通过全参数模型和简化模型预测了三种晶格类型的五种材料的屈服轨迹、流动应力和r值，表明所提出的模型预测各种材料屈服行为的准确性。