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Anisotropic coalescence criterion for nanoporous materials

机译：纳米多孔材料的各向异性聚结准则

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摘要

Ductile fracture through void growth and coalescence depends significantly on the plastic anisotropy of the material and on void size, as shown by experiments and/or numerical simulations through several studies. Macroscopic (homogenized) yield criteria aiming at modeling nanoporous materials have been proposed only for the growth regime, i.e. non-interacting voids. The aim of this study is thus to provide a yield criterion for nanoporous materials relevant for the coalescence regime, i.e. when plastic flow is localized between voids. Through homogenization and limit analysis, and accounting for interface stresses at the void-matrix interface, analytical coalescence criterion is derived under the following conditions: axisymmetric loading, orthotropic material obeying Hill's plasticity, cylindrical voids in cylindrical unit-cell. Incidentally, an orthotropic extension of the existing isotropic modeling of interface stresses through limit analysis is described and used. The proposed coalescence criterion is then extended to account for combined tension and shear loading conditions. Numerical limit analyses have been performed under specific conditions / materials parameters to get supposedly exact (up to numerical errors) results of coalescence stress. A good agreement between the analytical coalescence criteria derived in this study and numerical results is found for elongated spheroidal voids, making them usable to predict the onset of void coalescence in ductile fracture modeling of nanoporous materials.
机译：实验和/或一些研究的数值模拟表明，由于空隙增长和聚结而产生的延性断裂，在很大程度上取决于材料的塑性各向异性和空隙尺寸。旨在模拟纳米多孔材料的宏观（均质）屈服准则仅针对生长机制，即非相互作用的空隙提出。因此，本研究的目的是提供与聚结方式有关的纳米孔材料的屈服准则，即当塑性流动位于空隙之间时。通过均质化和极限分析，并考虑空隙-基质界面处的界面应力，在以下条件下得出了分析合并准则：轴对称载荷，服从Hill塑性的正交异性材料，圆柱单元中的圆柱空隙。顺便提及，通过极限分析描述并使用了界面应力的现有各向同性建模的正交各向异性扩展。然后，将提出的合并标准扩展到考虑组合的拉伸和剪切载荷条件。已经在特定条件/材料参数下进行了数值极限分析，以得到据称精确的（直至数值误差）聚结应力结果。在本研究中得出的分析聚结标准与数值结果之间找到了很好的一致性，这对于细长的球形空隙而言，使其可用于预测纳米多孔材料的延性断裂建模中空隙聚结的开始。

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