Lithiation and delithiation in electrodes lead to the evolution of internal stresses which may cause the mechanical degradation of batteries. In this work, the diffusion-induced stress of a hollow cylindrical electrode under either galvanostatic or potentiostatic charging is analytically solved based on a diffusion and mechanical coupled continuum model. The stress distributions at the end faces of the electrode with both ends traction free or fixed are also analyzed, the end effect of diffusion-induced bending is taken into account, and the resulting bending stresses are of practical importance for the stress distribution at the end faces. Using the obtained analytical expressions, a numerical example is given, and the results show that the stress distributions at the end faces change dramatically compared to the stresses remote from ends, both the charging mode and end constraints have significant effects on the distribution of stresses at the end faces of the electrodes, and the most dangerous location during the charging process is affected by the end’s constraint conditions.

电极中的锂化和脱锂导致内部应力的演变，这可能导致电池的机械退化。在这项工作中，基于扩散和机械耦合连续介质模型解析解决了在恒电流或恒电位充电下中空圆柱形电极的扩散诱导应力。还分析了两端牵引自由或固定时电极端面的应力分布，考虑了扩散诱导弯曲的端部效应，由此产生的弯曲应力对端部应力分布具有实际意义。脸。使用得到的解析表达式，给出了一个数值例子，结果表明，与远离端面的应力相比，端面的应力分布发生了显着的变化，