Acta Mechanica Solida Sinica

, Volume 24, Issue 3, pp 282–288 | Cite as

A membrane element model with bending modification for one step inverse method

Article

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.

Key words

membrane element model one step inverse method moment equilibrium bending modification 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    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.Google Scholar
  2. [2]
    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.CrossRefGoogle Scholar
  3. [3]
    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.Google Scholar
  4. [4]
    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.Google Scholar
  5. [5]
    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.Google Scholar
  6. [6]
    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.CrossRefGoogle Scholar
  7. [7]
    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.Google Scholar
  8. [8]
    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.Google Scholar
  9. [9]
    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.CrossRefGoogle Scholar
  10. [10]
    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.CrossRefGoogle Scholar
  11. [11]
    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.CrossRefGoogle Scholar
  12. [12]
    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.CrossRefGoogle Scholar
  13. [13]
    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.CrossRefGoogle Scholar
  14. [14]
    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.CrossRefGoogle Scholar
  15. [15]
    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.CrossRefGoogle Scholar
  16. [16]
    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.CrossRefGoogle Scholar
  17. [17]
    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.Google Scholar
  18. [18]
    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.CrossRefGoogle Scholar
  19. [19]
    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.CrossRefGoogle Scholar
  20. [20]
    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.CrossRefGoogle Scholar
  21. [21]
    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.CrossRefGoogle Scholar
  22. [22]
    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.CrossRefGoogle Scholar
  23. [23]
    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.CrossRefGoogle Scholar
  24. [24]
    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.CrossRefGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2011

Authors and Affiliations

  1. 1.State Key Laboratory of Automobile Dynamics SimulationJilin UniversityChangchunChina
  2. 2.FAW-Volkswagen Automobile Co., Ltd.ChangchunChina
  3. 3.College of Mechanical EngineeringJilin UniversityChangchunChina

Personalised recommendations