Abstract An analytical method is proposed to evaluate the diffusion-induced stresses (DISs) in a layered electrode consisting of a current collector and two graphene nanosheet (GNS)-reinforced nanocomposite active plates for lithium-ion batteries. The main focus is placed on investigating the dispersion effect of GNSs within the Tin (Sn)-based nanocomposite active plates on the DISs of the layered electrode. Three types of GNS dispersion, including aligned, randomly distributed, and agglomerated state are considered in the analysis. The effective material properties of the Sn-based nanocomposites reinforced by different GNS volume fractions are predicted using the Mori-Tanaka micromechanical model. It is found that the DISs in the nanocomposite electrodes are very sensitive to the GNS dispersion type. Aligning the GNSs within the Sn-based nanocomposite active plates can reduce the peak stresses in both current collector and active plate. So, from the mechanical viewpoint of designing an electrode, alignment of GNSs within the nanocomposite active plates is an optimized condition. However, agglomeration of GNSs may increase the stress in the whole electrode. Also, the effects of amount and dispersion type of GNSs as well as the thickness ratio of current collector to active plate on the DISs and the curvature of the bilayer Sn-based nanocomposite electrode for the lithium-ion batteries are extensively discussed. Addition and alignment of the GNSs within the Sn nanocomposite active plate can significantly decrease the peak curvature of the bilayer electrode.

中文翻译：

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石墨烯纳米片分散对锂离子电池层状锡基纳米复合电极扩散诱导应力的影响

摘要 提出了一种分析方法来评估由集电器和两个石墨烯纳米片 (GNS) 增强的锂离子电池纳米复合活性板组成的层状电极中的扩散诱导应力 (DIS)。主要重点是研究 GNS 在基于锡 (Sn) 的纳米复合活性板中对分层电极的 DIS 的分散效应。分析中考虑了三种类型的 GNS 分散，包括对齐、随机分布和聚集状态。使用 Mori-Tanaka 微机械模型预测由不同 GNS 体积分数增强的 Sn 基纳米复合材料的有效材料特性。发现纳米复合电极中的 DISs 对 GNS 分散类型非常敏感。将 Sn 基纳米复合材料活性板内的 GNS 对齐可以降低集电器和活性板中的峰值应力。因此，从设计电极的机械角度来看，纳米复合活性板内 GNS 的排列是优化条件。然而，GNS 的团聚可能会增加整个电极的应力。此外，还广泛讨论了 GNS 的数量和分散类型以及集流体与活性板的厚度比对 DIS 和用于锂离子电池的双层 Sn 基纳米复合电极的曲率的影响。在 Sn 纳米复合活性板中添加和排列 GNS 可以显着降低双层电极的峰值曲率。