Transient analysis of diffusion-induced stress for hollow cylindrical electrode considering the end bending effect

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.