LAUSR

Abstract This article focuses on evaluating the large deflection of the thin strip under practical condition of residual stress after cold rolling. In order to describe the problem mathematically, the incompatible von Karman equations were introduced as the governing equations. Given the deflection of the strip along the rolling direction presenting the periodic form, the incompatible von Karman equations along with the free boundary conditions were simplified to be a nonlinear boundary value problem in dimensionless form and turned out to be a boundary layer problem. Then composite expansion-Ritz method (CERM) was proposed to solve the problem. The composite expansion method was used to determine the form of deflection, while the geometry parameters, such as wave length, positions of boundary layers, were obtained by Ritz method. Finally, the accuracy of CERM is verified by actual measured data.