For the development of the fast charging technology of lithium-ion batteries,describing the rapid transient mass diffusion process accurately is the premise to avert the mechanical degradation caused by the diffusion-induced stress.In this paper,we present a diffusion-elasticity model based on the finite deformation theory with the consideration of non-local effects of mass transfer.The proposed model is then applied to analyze the evolution and distribution of stress and lithium concentration in a silicon electrode during the rapid charging process under potentiostatic operation.The cases with and without the contribution of non-local diffusion effects are both calculated for comparative analysis.The dependence of the influence of non-local effects on diffusion relaxation time τ0 is discussed.The results show that a diffusive wave appears when the value of τ0 is sufficiently large,and it moves inside gradually during the rapid charging process,which is qualitatively consistent with the results from literature.