Elastic-plastic analysis of a finite sheet with a cold-worked hole

An exact elastic-plastic solution has been obtained for the residual stress and strain field in a finite circular sheet having a cold-worked or interference fitted hole on the basis of J₂ deformation theory together with a modified Ramberg-Osgood law. Many factors influencing the residual stresses are analysed. Comparison with finite element results and experimental data for rectangular sheets containing cold-worked holes is made. It is shown that the solution of a finite circular sheet can be used to predict the residual stresses on the minimum cross section in a rectangular sheet with a cold-worked hole fast and effectively, so long as the diameter of the circular sheet is equal to the width of the sheet.