Abstract An analytical model has been developed to study the fracture behavior of bi-layer electrodes in the lithium-ion battery under galvanostatic intercalation and deintercalation. The bi-layer electrode is composed of an active strip and a current collector. Crack initiation and propagation may occur when the peak tensile stress caused by diffusion exceeds the theoretical strength of the active strip. For this, solutions of concentration distribution and diffusion-induced stress are derived and the stress intensity factors at the crack tips are calculated. Numerical results show that cracks may be more easily initiated during extraction of lithium ions in the active strip since the peak tensile stress during extraction is much larger than that during insertion. Stress intensity factor decreases with increasing values of crack length, which demonstrates that crack propagation may cease when it reaches a certain length.

中文翻译：

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锂离子电池双层电极由扩散应力引起的断裂分析

摘要 建立了一个分析模型来研究锂离子电池中双层电极在恒电流嵌入和脱嵌条件下的断裂行为。双层电极由活性条和集电器组成。当扩散引起的峰值拉应力超过活性带材的理论强度时，可能会发生裂纹萌生和扩展。为此，导出了浓度分布和扩散诱导应力的解，并计算了裂纹尖端的应力强度因子。数值结果表明，在活性条中锂离子的提取过程中，由于提取过程中的峰值拉应力远大于插入过程中的峰值拉应力，因此可能更容易引发裂纹。应力强度因子随着裂纹长度的增加而减小，