Abstract:　Surface　effect　in　the　nanoelectrode　plays　a　significant　role　in　the　diffusion-induced-stresses　which　results　in　fracture　at　the　surface　during　the　charge　or　discharge　of　lithium-ion　batteries.　In　this　work,　considering　the　surface　effect　and　structural　damage,　a　coupled　diffusion-induced　deformation　model　is　developed　in　a　nanosphere　electrode　particle　under　potentiostatic　operation.　Then　the　effects　of　surface　parameters　and　damage　constant　on　the　damage　state　variable,　concentration　of　lithium-ions,　radial　stress,　hoop　stress　and　equivalent　stress　are　investigated,　respectively.　Numerical　results　show　that　the　compressive　surface　effect　reduces　the　structural　damage　state　variable　and　the　lithium-ion　concentration,　and　hinders　the　damage　through　converting　the　hoop　stress　from　tensile　to　compressive;　The　maximum　equivalent　stress　occurs　at　the　surface　for　smaller　damage　constant　and　it　will　move　toward　the　center　for　larger　damage　constant.　©　2023,　Allerton　Press,　Inc.