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An analytical incremental model for the analysis of the cup drawing

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Purpose: of this paper Develop an analytical model for the cup drawing process to solve for the induced stresses and strains over the deforming sheet at any stage of deformation until a full cup is formed. Design/methodology/approach: An analytical model is developed for the cup drawing process by determining the variation of stresses and strains over the deforming sheet. The model uses finite difference approach and numerical procedures to solve for equilibrium, continuity, and plasticity equations in an incremental fashion. Findings: The developed analytical model results showed good correlation with experimental ones from the literature. Also, the analytical model was found to be useful in conducting parametric studies in order to determine how the different process parameters can affect the deforming cup. Research limitations/implications: This paper includes the development of an analytical model to analyze the deep drawing of axisymmetric cups. This model is then used as the solution engine for the optimization of the blank holder force for such cups avoiding failure by wrinkling or tearing. This model also gives an insight of the modes of deformation in the deep drawing process. Practical implications: This paper is part of a procedure that leads to the optimization of the blank holder loading scheme. The full procedure as presented in the two parts of the work may be applied in industry to minimize the maximum punch load or the work done during deep drawing process by modifying the blank holder force and at the same time avoid failures by wrinkling or tearing. Originality/value: Developing a predictive/corrective technique for solving the unknown boundaries of the deforming sheet.
Rocznik
Strony
245--248
Opis fizyczny
Bibliogr. 15 poz., rys., tab., wykr.
Twórcy
autor
  • Mechanical Engineering Department, The American University in Cairo, 113 Kasr el Aini Street, Cairo 11511, Egypt
autor
  • Mechanical Engineering Department, The American University in Cairo, 113 Kasr el Aini Street, Cairo 11511, Egypt
autor
  • Mechanical Engineering Department, The American University in Cairo, 113 Kasr el Aini Street, Cairo 11511, Egypt
autor
  • Mechanical Engineering Department, The American University in Cairo, 113 Kasr el Aini Street, Cairo 11511, Egypt
Bibliografia
  • [1] S.Y. Chung, H.W. Swift, (1951). Cup Drawing from a Flat Blank: Part 1: Experimental Investigation, Part 2: Analytical Investigation. Proceedings of the Institution of Mechanical Engineering, 165, 199-223.
  • [2] D.M. Woo, (1964). Analysis of the Cup-Drawing Process. Journal of Mechanical Engineering Sciences, 6, 116-131.
  • [3] D.M. Woo, (1968). On the Complete Solution of the Deep-Drawing Problem. International Journal of Mechanical Sciences, 10, 83-94.
  • [4] D. M. Woo, (1976, October). Analysis of Deep-Drawing over a Tractrix Die. Journal of Engineering Materials and Technology, Transactions of the ASME, 98 Ser H (4), 337-341.
  • [5] J. Reissner, R. Ehrismann, (1987). Computer-Aided Deep-Drawing of Two-Part Cans. CIRP Annals, 36, 199-202.
  • [6] M. M. Al-Makky, D.M. Woo, (1980). Deep-Drawing through Tractrix Type Dies. International Journal of Mechanical Sciences, 22 (8), 467-480.
  • [7] B. Kaftanoğlu, J.M. Alexander, (1970). On Quasistatic Axisymmetrical Stretch Forming. International Journal of Mechanical Sciences, 12, 1065-1084.
  • [8] B. Kaftanoğlu, A.E. Tekkaya, (1981, Oct). Complete Numerical Solution of the Axisymmetrical Deep-Drawing Problem. Journal of Engineering Materials and Technology, Transactions of the ASME. 103, 326-332.
  • [9] T. Tatenami, Y. Nakamura, K. Saito, (1982). An Analysis of Deep-drawing Process Combined with Bending. Proceedings of the Numerical Methods for Industrial Forming Processes, 687-696.
  • [10] Y. Nakamura, T. Tatenami, K. Saito, (1982). Numerical Solution of Deep Drawing through Tractrix Die. Proceedings of the Numerical Methods for Industrial Forming Processes, 677-686.
  • [11] S.M. Mahdavian, D. He, (1995 Apr). Product thickness analysis in pure cup-drawing. Journal of Materials Processing Technology. 51, 387-406.
  • [12] H.H. Gharib, (2004). Analysis of the Cup Drawing Process and Optimization of the Blank Holder Force. M.Sc. thesis, The American University in Cairo, Cairo, Egypt.
  • [13] M.J. Saran, E. Schedin, A. Samuelsson, A. Melander, C. Gustafsson, (1990). Numerical and Experimental Investigations of Deep Drawing of Metal Sheets. Journal of Engineering for Industry, Transactions of the ASME, 112 (3) 272-277.
  • [14] S. Thiruvarudchelvan, W. Lewis, (1990). Deep drawing with Blank Holder Force Approximately Proportional to the Punch Force, Transactions of the ASME, Journal of Engineering for Industry, 112 (3), 278-285.
  • [15] Rao, S. Singiresu (1996). Engineering Optimization. John Wiley and Sons, Inc.: New York.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-c12f9841-e205-4584-a0f1-16d1628c9bb0
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