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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 65
FINITE ELEMENTS: TECHNIQUES AND DEVELOPMENTS
Edited by: B.H.V. Topping
Paper X.9

Two Simple Triangular Shell Element for Springback Simulation After Deep Drawing of Thin Sheets

Y.Q. Guo+, J.L. Batoz#, H. Naceur# and W. Gati#

+Laboratoire GMMS/GMA, Université de Reims Champagne-Ardenne, Reims, France
#Laboratoire Roberval, Université de Technologie de Compiègne, Compiègne, France

Full Bibliographic Reference for this paper
Y.Q. Guo, J.L. Batoz, H. Naceur, W. Gati, "Two Simple Triangular Shell Element for Springback Simulation After Deep Drawing of Thin Sheets", in B.H.V. Topping, (Editor), "Finite Elements: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 285-297, 2000. doi:10.4203/ccp.65.10.9
Abstract
This paper deals with the formulation of two simple shell elements for the springback simulation after the sheet forming process. The first element is the DKT12 shell element resulting from the superposition of the CST membrane element and the DKT6 plate element with three displacement dof at each corner node and one rotation dof around each side. The second element is called DKTRF element (Discrete Kirchhoff Triangular Rotation Free Element) with only 3 translational dof at the corner nodes of each element and its three neighbors. For that element the rotation around each mid side is expressed in terms of the translational dof of the corner nodes of the elements sharing that side, in a slightly different manner compared to Brunet at al., Onate et al. Some improvements make the formulation more general and accurate. Special attention is paid to treat the boundary conditions using fictitious elements. A static implicit algorithm is adopted for the springback simulation based on a simple and efficient Updated Lagrangian Formulation at each Iteration (ULFI). Some academic examples and benchmark tests show the accuracy and the efficiency of these two shell elements for the springback simulation.

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