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.
Similar content being viewed by others
References
Avitzur B. Metal Forming Process [M]. New York: John Wiley and Sons, 1968.
Rubio E M. Calculation of the Forward Tension in Drawing Processes [J]. Journal of Material Processing Technology, 2005, 162/163: 551.
Masuda M, Murota T, Jimma T. Sheet Drawing Through a Wedge-Shaped Die [J]. Annals IRP, 1965, 13(1): 325.
Pittman J F T. Numerical Analysis of Forming Processes [M]. New York: John Wiley and Sons, 1984.
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.
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.
ZHAO De-wen. Mathematical Solution of Continuum Forming Force [M], Shenyang: Northeastern University Press, 2003 (in Chinese).
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.
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).
Avitzur B. Handbook of Metal-Forming Process [M]. New York: John Wiley and Sons, 1983.
Willianm F H. Metal Forming Mechanics and Metallurgy [M]. Englewood Cliffs: Prentice-Hall Inc, 1983.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation Item: Item Sponsored by National Natural Science Foundation of China (50474015)
Rights and permissions
About this article
Cite this article
Wang, Gj., Du, Hj., Zhao, Dw. et al. Application of geometric midline yield criterion for strip drawing. J. Iron Steel Res. Int. 16, 13–16 (2009). https://doi.org/10.1016/S1006-706X(10)60020-9
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1016/S1006-706X(10)60020-9