Abstract The relationship between microstructure, dislocation motion and mechanical response of metallic multilayered nanomaterials is investigated. Several competing theories for the dependence of hardness on layer thickness, namely Confined Layer Slip (CLS) and Hall-Petch (H-P) theories are discussed. Analysis of homophase and heterophase experimental data suggests that Hall-Petch with modified coefficients provides a good fit down to layer thicknesses of about 5 nm, below which experimental data starts to deviate. We suggest that at this layer thickness, dislocations accumulate in the interface, and assuming there is a constant dislocation density in each interface, the strength varies as h −1/2 .

中文翻译：

---

纳米级金属多层膜的强度

摘要 研究了金属多层纳米材料的微观结构、位错运动和力学响应之间的关系。讨论了硬度与层厚度相关的几种相互竞争的理论，即受限层滑移 (CLS) 和霍尔-佩奇 (HP) 理论。对同相和异相实验数据的分析表明，具有修改系数的 Hall-Petch 可以很好地拟合约 5 nm 的层厚度，低于该厚度的实验数据开始偏离。我们建议在此层厚度下，位错在界面中积累，假设每个界面中位错密度恒定，强度随 h -1/2 变化。