The　main　aim　of　this　paper　is　to　investigate　the　effect　of　slide　between　overlapped　graphene　flakes　on　the　sensing　characteristic　of　graphene-based　polymer　composites　(GPCs).　During　deformation　process　of　GPCs,　the　position　of　the　graphene　flakes　can　be　determined　by　using　an　affine　transformation.　The　analytical　solution　is　obtained　based　on　the　equivalent　resistance　formulas　of　series　and　parallel　circuits.　Meanwhile,　the　numerical　simulation　is　also　conducted　through　the　finite　element　method　(FEM).　In　addition,　the　consistence　between　the　analytical　solution　and　numerical　result　are　proved　by　a　simple　model　consisted　of　two-layer　graphene　flakes.　The　result　shows　that　the　gauge　factor　(GF)　of　the　sensor　is　related　to　both　the　initial　resistance　and　the　length　of　the　graphene　flakes:　the　GF　of　the　sensor　decreases　with　the　increase　of　the　initial　resistance,　while　the　effect　of　the　length　of　graphene　flakes　is　less.　Moreover,　the　pre-stretched　GPCs　have　a　larger　sensing　range　which　can　improve　the　usability　of　the　sensor.　©　Published　under　licence　by　IOP　Publishing　Ltd.