Plasticity is a common phenomenon in many materials. Furthermore, it is also commonly applied in multiscale analyses. Plasticity is mainly characterised by the yield function. This function distinguishes between the elastic and the plastic material domain. The transition surface is denoted as the yield surface, and characterises the material behaviour significantly. In the contribution at hand, an algorithm is proposed, which can identify arbitrary yield surfaces. No assumptions regarding the geometry, kinematics, or material model need to be incorporated. The algorithm can identify yield surfaces as long as a function can be formulated, which measures the distance of any point in the principal stress space to the yield surface, and an indicator exists, which characterises the behaviour of the material to be elastic or plastic. Hence, a very general algorithm is achieved, which can also be applied to crystal plasticity. The property of star-convexity of yield surfaces is exploited. This algorithm is also well suited for the application in high performance computing environments. Furthermore, the proposed algorithm can be applied to the identification of initial damage surfaces as well.

中文翻译：

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一种并行算法，用于在多尺度分析中识别任意屈服表面


塑性是许多材料的常见现象。此外，它也常应用于多尺度分析。可塑性主要由屈服函数表征。此函数区分了弹性和塑性材料域。过渡面表示为屈服面，并显着表征了材料的行为。在手头的贡献中，提出了一种算法，该算法可以识别任意屈服面。不需要合并有关几何、运动学或材料模型的假设。只要可以制定一个函数，该算法就可以识别屈服面，该函数测量主应力空间中任何点到屈服面的距离，并且存在一个指标，该指标将材料的行为描述为弹性或塑性。因此，实现了一个非常通用的算法，该算法也可以应用于晶体可塑性。利用了屈服面的星形凸性。此算法也非常适合高性能计算环境中的应用程序。此外，所提出的算法也可以应用于初始损伤表面的识别。