Abstract
On the basis of the analysis of the hexagons inscribed and circumscribed of the Mises yield circle on the π-plane in Haigh Westergaard stress space, a new equation called equal area linear yield criterion or EA criterion was proposed, and its plastic specific work rate was derived. Then, a generalized worked example of plate rolling was analyzed by the criterion and its corresponding plastic specific work rate. Finally, the precision of the solution was compared with measured roll separation force in plate finish rolling process. It indicates that the calculated results by EA criterion are slightly higher than the measured ones.
Similar content being viewed by others
References
Tresca H. On the Flow of Solid Bodies Subjected to High Pressures [J]. C R Acad Sci Paris, 1864, 59: 754.
YU Mao-hong. Twin Shear Stress Yield Criterion [J]. Int J Mech Sci, 1983, 25(1): 71.
HUANG Wen-bin, ZENG Guo-ping. Application of Twin Shear Stress Yield Criterion to Solve Some Problems in Plastic Mechanics [J]. Acta Mechanka Sinica, 1989, 21(2): 249 (in Chinese).
ZHAO De wen, XIE Ying-jie, LIU Xiang-hua, et al. Three Dimensional Analysis of Rolling oy Twin Shear Stress Yielding Criterion [J]. J Iron and Steel Res Int, 2006, 13(6): 21.
ZHAO De-wen, LI Gui-fan, LIU Feng-li. The Surface Integral to Axisymmetric Drawing Through Elliptic-Die Profile [J]. Engineering Mechanics, 1994, 11(4): 131.
ZHAO De-wen, XU Jian-zhong, YANG Hong. Application of Twin Shear Stress Yield Criterion in Axisymmetrical Indentation of a Demi-Infinite Medium [C] //YU Mao-hong. Proceed ings of International Symposium on Strength Theory. New York: Science Press, 1998, 1079.
ZHAO De-wen, FANG Qi, LIU Xiang-hua, et al. A Linear Yield Criterion with Equal Covered Area to Mises Yield Locus Coverage in Haigh Westergaarcl Stress Space [J]. Journal of Northeastern University: Natural Science, 2005, 26(3): 248 ( in Chinese).
ZHAO De-wen, XIE Ying-jie, LIU Xiang-hua, et al. New Yield Criterion Based on Geometric Midline of Error Triangles Between Tresca and Twin Shear Stress Yield Locins [J] Journal of Northeastern University: Natural Science, 2004, 25 (2): 121 (in Chinese).
WANG Guo-dong, ZHAO De-wen. Modern Mechanics of Material Forming [M]. Shenyang: Northeastern University Press, 2004 (in Chinese).
ZHOU Ji hua, GUAN Ke-zhi. Resistance of Plastic Deformation in Metal [M]. Beijing: Mechanical Industry Press, 1989 (in Chinese).
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation Item: Item Sponsored by National Natural Science Foundation of China (50474015); RAL Self-Determination Science Foundation of China (RAL-SD-2008-2)
Rights and permissions
About this article
Cite this article
Zhao, Dw., Fang, Q., Li, Cm. et al. Derivation of plastic specific work rate for equal area yield criterion and its application to rolling. J. Iron Steel Res. Int. 17, 34–38 (2010). https://doi.org/10.1016/S1006-706X(10)60083-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1016/S1006-706X(10)60083-0