Deep Drawing of Square-Shaped Sheet Metal Parts, Part 1: Finite Element Analysis

[+] Author and Article Information
S. A. Majlessi

Department of Mechanical Engineering-Engineering Mechanics, Michigan Tech., Houghton, MI 49931

D. Lee

Department of Mechanical Engineering, Aeronautical Engineering, and Mechanics, Renssalaer Polytechnic Institute, Troy, NY 12180

J. Eng. Ind 115(1), 102-109 (Feb 01, 1993) (8 pages) doi:10.1115/1.2901623 History: Received January 01, 1990; Revised October 01, 1991; Online April 08, 2008


The process of square-cup drawing is modeled employing a simplified finite element analysis technique. In order to make the algorithm computationally efficient, the deformation (total strain) theory of plasticity is adopted. The solution scheme is comprised of specifying a mesh of two-dimensional finite elements with membrane properties over the deformed configuration of the final part geometry. The initial positions of these elements are then computed by minimization of the potential energy, and therefore the strain distributions are determined. In order to verify predictions made by the finite element analysis method, a drawing apparatus is built and various drawing experiments are carried out. A number of circular and square cups are drawn and strain distributions measured. It is observed that there is generally a good agreement between computed and measured results for both axisymmetric and nonaxisymmetric cases.

Copyright © 1993 by The American Society of Mechanical Engineers
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