In a strip winding process,the sleeve is a hollow cylinder that is mounted between a strip coil and a mandrel 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 distribution in a sleeve and strip coil when 1-3mm-thick stainless steel was wound around the sleeve.The FE model was developed by extending aprevious 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 required 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 analytical model of the steady-state process was established to calculate the stress distribution and was compared with the FE model to validate it.The suggested analytical model took 11 sto give the same stress distribution that the FE model took 30 dto produce. In a strip winding process, the sleeve is a hollow cylinder that is mounted between a strip coil and a mandrel to maintain uniform coil shape when the strip coil is very thin, but its deformation behavior has not been performed prior to Thus, a finite element (FE) model was presented to calculate the stress distribution 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 required 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 analytical model of the steady-state process was established to calculate the stress distribution and was compared with the FE model to validate it. The suggested analytical model took 11 sto give the same stress distribution that the FE model took 30 dto produce.