Advertisement

Application of geometric midline yield criterion for strip drawing

  • Gen-ji Wang
  • Hai-jun Du
  • De-wen Zhao
  • Xiang-hua Liu
  • Guo-dong Wang
Article

Abstract

A new linear yield criterion expressed by the geometric midline of error triangle between Tresca and Twin shear stress yield loci on the π-plane in Haigh-Westergaard space was introduced. The criterion was written in terms of the values of principal stress deviator and called GM yield criterion for short. Together with a Cartesian coordinate velocity field instead of the Avitzur’s, the GM criterion was used to obtain an analytical solution for strip drawing. With a working example of the strip drawing through wedge-shaped die, the results of relative drawing stress calculated by the GM criterion were compared with those calculated by Mises’ criterion from Avitzur formula. It indicated that the calculated results according to analytical solution were in good agreement with the numerical solution obtained from Avitzur formula.

Key words

GM yield criterion strip drawing analytical solution 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Avitzur B. Metal Forming Process [M]. New York: John Wiley and Sons, 1968.Google Scholar
  2. [2]
    Rubio E M. Calculation of the Forward Tension in Drawing Processes [J]. Journal of Material Processing Technology, 2005, 162/163: 551.CrossRefGoogle Scholar
  3. [3]
    Masuda M, Murota T, Jimma T. Sheet Drawing Through a Wedge-Shaped Die [J]. Annals IRP, 1965, 13(1): 325.Google Scholar
  4. [4]
    Pittman J F T. Numerical Analysis of Forming Processes [M]. New York: John Wiley and Sons, 1984.zbMATHGoogle Scholar
  5. [5]
    Celik K F, Chitkara N R. Application of an Upper Bound Method to Off-Centric Extrusion of Square Sections Analysis and Experiments [J]. International Journal of Mechanical Science, 2000, 42(2): 321.CrossRefGoogle Scholar
  6. [6]
    Alfozan A, Gunasekera J S. An Upper Bound Element Technique Approach to the Process Design of Axisymmetric Forging by Forward and Backward Simulation [J]. Journal of Material Processing Technology, 2003, 142(3): 619.CrossRefGoogle Scholar
  7. [7]
    ZHAO De-wen. Mathematical Solution of Continuum Forming Force [M], Shenyang: Northeastern University Press, 2003 (in Chinese).Google Scholar
  8. [8]
    ZHAO De-wen, XU Jian-zong, YANG Hong. Application of Twin Shear Stress Yield Criterion in Axisymmetrical Indentation of a Semi-Infinite Medium [A]. YU M H, FAN S C, eds. Proceedings of International Symposium on Strength Theory [C]. New York: Science Press, 1998. 1079.Google Scholar
  9. [9]
    ZHAO De-wen, XIE Ying-jie, LIU Xiang-hua, et al. New Yield Equation Based on Geometric Midline of Error Triangles Between Tresca and Twin Shear Stress Yield Loci [J]. Journal of Northeastern University (Natural Science), 2004, 25(2): 121 (in Chinese).Google Scholar
  10. [10]
    Avitzur B. Handbook of Metal-Forming Process [M]. New York: John Wiley and Sons, 1983.Google Scholar
  11. [11]
    Willianm F H. Metal Forming Mechanics and Metallurgy [M]. Englewood Cliffs: Prentice-Hall Inc, 1983.Google Scholar

Copyright information

© China Iron and Steel Research Institute Group 2009

Authors and Affiliations

  • Gen-ji Wang
    • 1
  • Hai-jun Du
    • 1
  • De-wen Zhao
    • 1
  • Xiang-hua Liu
    • 1
  • Guo-dong Wang
    • 1
  1. 1.State Key Laboratory of Rolling and AutomationNortheastern UniversityShenyang, LiaoningChina

Personalised recommendations