Analytical Approach of Springback of Arced Thin Plates Bending

Abstract

In practical production, metal sheet bending process contains multiple steps of bending to meet the requirements of the shape and quality. The arced thin plate with pre-strain is taken as the subject to investigate the subsequent bending and spring-back. Based on linear combined hardening constitutive model, the analytical method of the arced thin plate with pre-strain bending forming and springback is researched. The tangential strain on the cross section of the arced thin plate during bending is analysed, and then analytic formulas of material hardening in the circumstance of the positive and reverse loading are deduced. Distributions of stress and strain in subsequent bending and corresponding bending moment formulas are deduced. The central angle and radius of curvature after springback are obtained. The accuracy of the analytical model is verified by FEM cases. In addition, the established model is applied to the UOE forming process and the results show that the analytical approach presented in the paper are feasible and of good precision.