In a strip winding process, the sleeve is a hollow cylinder that is mounted between a strip coil and a man-drel to maintain uniform coil shape when the strip coil is very thin, but its deformation behavior has not been investigated before.Thus, a finite element (FE) model was presented to calculate the stress distribu-tion in a sleeve and strip coil when 1-3 mm-thick stainless steel was wound around the sleeve.The FE model was developed by extending a previous model by adding a sleeve between the mandrel and strip, and by modifying the boundary and interaction conditions.The strip winding process was divided into an initial process and a steady-state process.During the initial process, the minimum and maximum pressure re-quired on the belt wrapper to maintain coil shape by self-friction of the strip was calculated by the FE model when the belt wrapper is ejected at the end of the initial process.After the initial process, an ana-lytical model of the steady-state process was established to calculate the stress distribution and was com-pared with the FE model to validate it.The suggested analytical model took 1 1 s to give the same stress distribution that the FE model took 30 d to produce.