Abstract
A membrane element model with bending modification based on element moment equilibrium is proposed for the first time by the authors, who apply the element model in one step inverse method and simulate the forming process of a flower-shaped box using the membrane element model with and without this modification. The numerical results are compared with those of the incremental method to verify the validity of the element model developed in this paper.
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Batoz, J.L., Duroux, P., Guo, Y.Q. and Detraux, J.M., An Efficient Algorithm to Estimate the Large Strains in Deep Drawing. NUMIFORM’89, 1989: 383–388.
Guo, Y.Q., Batoz, J.L., Detraux, J.M. and Duroux, P., Finite element procedures for strain estimations of sheet metal forming parts. International Journal for Numerical Methods in Engineering, 1990, 39: 1385–1401.
Guo, Y.Q., Batoz, J.L., El Mouatassim, M. and Detraux, J.M., On The Estimation of Thickness Strains in Thin Car Panels by the Inverse Approach. NUMIFORM’92, 1992: 1403–1408.
Batoz, J.L., Guo, Y.Q. and Mercier, F., The Inverse Approach Including Bending Effects for the Analysis and Design of Sheet Metal Forming Parts. NUMIFORM’95, 1995: 661–667.
Barlet, O., Batoz, J.L., Guo, Y.Q. and Mercier, F., Optimum Design of Blank Contours Using the Inverse Approach and Mathematical Programming Techniques. NUMISHEET’96, Dearborn, Michigan, USA, 1996: 178–185.
Batoz, J.L., Guo, Y.Q. and Mercier, F., The inverse approach with simple triangular shell elements for large strain predictions of sheet metal forming parts. Engineering Computations, 1998, 15(7): 864–892.
Barlet, O., Naceur, H., Batoz, J.L. and Knopf-Lenoir, C., Shape Optimum Design of Blank Contours Using a Simplified Inverse Approach. NUMIFORM’98, 1998: 801–806.
Naceur, H., Guo, Y.Q., Batoz, J.L., Bouabdallah, S. and Knopf-Lenoir, C., Design of Process Parameters in Deep Drawing of Thin Sheets Using the Simplified Inverse Approach. NUMISHEET’99, France, 1999, 1: 517–522.
Guo, Y.Q., Batoz, J.L., Naceur, H. and Bouabdallah, S., Recent developments on the analysis and optimum design of sheet metal forming parts using the simplified inverse approach. Computers and Structures, 2000, 78: 133–148.
Naceur, H., Guo, Y.Q., Batoz, J.L. and Knopf-Lenoi, C., Optimization of drawbead restraining forces and drawbead design in sheet metal forming process. International Journal of Mechanical Sciences, 2001, 43(10): 2407–2434.
Naceur, H., Guo, Y.Q. and Gati, W., New enhancements in the inverse approach for the fast modeling of autobody stamping process. International Journal of Computational Engineering Science, 2002, 3(4): 355–384.
Guo, Y.Q., Naceur, H., Debray, K. and Bogard, F., Initial solution estimation to speed up inverse approach in stamping modeling. Engineering Computations, 2003, 20(7): 810–834.
Naceur, H., Delameziere, A., Batoz, J.L., Guo, Y.Q. and Knopf-Lenoi, C., Some improvements on the optimum process design in deep drawing using the inverse approach. Journal of Materials Processing Technology, 2004, 146: 250–262.
Lee, C.H. and Huh, H., Blank design and strain prediction of automobile stamping parts by an inverse finite element approach. Journal of Materials Processing Technology, 1997, 63: 645–650.
Lee, C.H. and Huh, H., Blank design and strain estimates for sheet metal forming processes by a finite element inverse approach with initial guess of linear deformation. Journal of Materials Processing Technology, 1998, 82: 145–155.
Lee, C.H. and Huh, H., Three dimensional multi-step inverse analysis for the optimum blank design in sheet metal forming processes. Journal of Materials Processing Technology, 1998, 80: 76–82.
Huh, H. and Kim, S.H., Multi-Stage Inverse Analysis of Elliptic Cup Drawing with the Large Aspect Ratio. Proceedings of the Metal Forming’2000, 2000: 107–116.
Kim, S.H. and Huh, H., Finite element inverse analysis for the design intermediate dies in multi-stage deep drawing processes with large aspect ratio. Journal of Materials Processing Technology, 2001, 113: 779–785.
Kim, S.H. and Huh, H., Construction of sliding constraint surfaces and initial guess shapes for intermediate steps in multi-step finite element inverse analysis. Journal of Materials Processing Technology, 2002, 130: 482–489.
Nguyen, B.N., Johnson, K.I. and Khaleel, M.A., Analysis of tube hydroforming by means of an inverse approach. Journal of Manfacturing Science and Engineering. 2003, 125: 369–377.
Huang, Y., Chen, Y.P. and Du, R.X., A new approach to solve key issues in multi-step inverse finite-element method in sheet metal stamping. International Journal of Mechanical Sciences, 2006, 48: 591–600.
Brunet, M. and Sabourin, F., A simplified triangular shell element with a necking criterion for 3-D sheet-forming analysis, Journal of Materials Processing Technology, 1995, 50: 238–251.
Shi, X.X., Wei, Y.P. and Ruan, X.Y., Simulation of sheet metal forming by a one-step approach: choice of element. Journal of Materials Processing Technology, 2001, 108: 300–306.
Fu, L.J., Dong, X.H. and Wang, P., Study on one-step simulation for the bending process of extruded profiles. International Journal of Advanced Manufacturing Technology, 2009, 43: 1069–1080.
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Project supported by the National Natural Science Foundation of China (No. 51075187).
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Na, J., Jiao, J., Yan, Y. et al. A membrane element model with bending modification for one step inverse method. Acta Mech. Solida Sin. 24, 282–288 (2011). https://doi.org/10.1016/S0894-9166(11)60029-3
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DOI: https://doi.org/10.1016/S0894-9166(11)60029-3