Abstract
An elastic-plastic thin shell finite element suitable for problems of finite deformation in sheet metal forming is formulated. Hill's yield criterion for sheet materials of normal anisotropy is applied. A nonlinear shell theory in a form of an incremental variational principle and a quasi-conforming element technique are employed in the Lagrangian formulation. The shell element fulfills the inter-element C 1 continuity condition in a variational sense and has a sufficient rank to allow finite stretching, rotation and bending of the shell element. The accuracy and efficiency of the finite element formulation are illustrated by numerical examples.
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Communicated by S. N. Atluri, March 27, 1990
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Wang, X., Jiang, H.Y. & Lee, L.H.N. Finite deformation formulation of a shell element for problems of sheet metal forming. Computational Mechanics 7, 397–411 (1991). https://doi.org/10.1007/BF00350168
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DOI: https://doi.org/10.1007/BF00350168