A Hybrid Membrane/Shell Method for Rapid Estimation of Springback in Anisotropic Sheet Metals

[+] Author and Article Information
F. Pourboghrat

Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824-1226

K. Chung

Department of Fiber and Polymer Science, Seoul National University, Seoul, Korea

O. Richmond

Alcoa Technical Center, Alcoa Center, PA 15069-0001

J. Appl. Mech 65(3), 671-684 (Sep 01, 1998) (14 pages) doi:10.1115/1.2789110 History: Received August 12, 1996; Revised November 05, 1997; Online October 25, 2007


A semi-analytical method to predict springback in sheet metal forming processes has been developed for the case of plane strain. In the proposed hybrid method, for each deformation increment, bending, and unbending stretches are analytically superposed on membrane stretches which are numerically obtained in advance from a membrane finite element code. Springback is then obtained by the unloading of a force and a bending moment at the boundary of each element treated as a shell. Hill’s 1948 yield criterion with normal anisotropy is used in this theory along with kinematic and isotropic hardening laws during reverse loading. The method has been applied for the springback prediction of a 2008-T4 aluminum alloy in plane-strain draw-bending tests. The results indicate the necessity of including anisotropic hardening (especially Bauschinger effects) and elastoplastic unloading in order to achieve good agreement with experimental results.

Copyright © 1998 by The American Society of Mechanical Engineers
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