Abstract A general computational technique for deriving macro yield surfaces from unit cells with a given microstructure has been proposed in a companion paper (Chouksey, M., Keralavarma, S. M., Basu, S., 2019, “Computational investigation into the role of localization on yield of a porous ductile solid,” Journal of the Mechanics and Physics of Solids, 130,pp. 141–164). Using this technique, macro yield surfaces for porous ductile solids, represented by cuboidal unit cells containing ellipsoidal voids, have been generated and compared with suitable analytical yield criteria. These yield surfaces exhibit vertex-like features when the principal directions of the macro stress coincides with the axes of the ellipsoidal void. In this work, we study the effects of void spacing and orientation with respect to the principal directions n α ( α ∈ [ 1,3 ] ) of the macro stress. Subtle changes in the yield surface are revealed when its traces are plotted on octahedral or meridional section planes in stress space. Further, the possibility of utilizing the computational framework to automatically generate complete macro yield surfaces by sampling the entire macro stress space, for a given microstructure, is demonstrated with examples where the space of applied macro stress states are limited by suitable assumptions.

中文翻译：

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通过晶胞模拟探索多孔延性固体屈服面的细微特征

摘要 在一篇配套论文 (Chouksey, M., Keralavarma, SM, Basu, S., 2019, “Computational research into the role of localization on多孔韧性固体的产量”，《固体力学与物理学杂志》，130，第 141-164 页）。使用这种技术，已经生成了多孔延性固体的宏观屈服面，由包含椭圆体空隙的立方晶胞表示，并与合适的分析屈服标准进行了比较。当宏观应力的主方向与椭圆体空隙的轴重合时，这些屈服面表现出类似顶点的特征。在这项工作中，我们研究了空隙间距和方向相对于主要方向 n α ( α ∈ [ 1, 3 ] ) 的宏观应力。当在应力空间的八面体或子午截面平面上绘制屈服面的轨迹时，就会显示屈服面的细微变化。此外，对于给定的微观结构，利用计算框架通过对整个宏观应力空间进行采样来自动生成完整的宏观屈服面的可能性，通过示例证明了所施加的宏观应力状态的空间受到适当假设的限制。