A viscous shell formulation for the analysis of thin sheet metal forming

Published in Int. Journal of Mechanical Sciences Vol. 25 (5), pp. 305-335, 1983
doi: 10.1016/0020-7403(83)90011-5

Abstract

A finite element method to analyse large plastic deformations of thin sheets of metal is presented. The formulation is based on an extension of the general viscoplastic flow theory for continuum problems to deal with thin shells. Axisymmetric situations are considered first and here the simple two noded reduced integration element is used. Numerical results for the stretch forming and deep drawing of circular sheets are presented and comparison with experimental results is made. The second part of the paper deals with the deformation of sheets of arbitrary shape. The general viscous shell element is derived from the standard reduced integration, “thick shell element. Numerical results for simple 3-D sheet forming problems are given.