Experiments　have　shown　that　stress　has　a　significant　effect　on　the　hysteresis　loop　of　the　electrode　potential　while　charging　or　discharging　Li-ion　batteries.　In　this　work,　considering　the　influence　of　stress　on　lithium-ion　diffusion　and　electrode　potential,　a　fully　coupled　electro-chemo-mechanical　model　is　developed　in　a　spherical　electrode　particle　under　galvanostatic　operation.　Then,　some　simulations　are　carried　out　to　investigate　the　distribution　of　lithium-ion　concentration,　diffusion-induced　stresses　and　electric　potential.　Meanwhile,　the　influences　of　C-rate　and　electrode　particle　radius　are　also　discussed.　Numerical　results　show　that　the　smaller　C-rate　and　electrode　particle　radius　are　beneficial　in　reducing　the　diffusion-induced　stresses　and　improving　the　effective　capacity　of　Li-ion　batteries.　Finally,　some　comparisons　of　lithium-ions　concentration　and　the　hysteresis　of　electrode　potential　between　the　present　model　and　Jin＇s　model　(without　the　effect　of　deformation　on　diffusion)　are　performed.　The　work　can　provide　some　tips　for　designing　electrodes　in　Li-ion　batteries　with　a　high　capacity　and　durability.