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 calcu-lated 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 ob-tained from Avitzur formula.
参考文献
| [1] | Avitzur B.Metal Forming Process[M].New York:John Wiley and Sons,Inc,1968 |
| [2] | Rubio E M .Calculation of the Forward Tension in Drawing Processes[J].Journal of Materials Processing Technology,2005,162/163:551. |
| [3] | Masuda M;Murota T;Jimma T .Sheet Drawing Through a Wedge-Shaped Die[J].Annals IRP,1965,13(01):325. |
| [4] | Pittman J F T.Numerical Analysis of Forming Processes[M].New York:John Wiley and Sons,Inc,1984 |
| [5] | Celik KF.;Chitkara NR. .Application of an upper bound method to off-centric extrusion of square sections, analysis and experiments[J].International Journal of Mechanical Sciences,2000(2):321-345. |
| [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 Materials Processing Technology,2003,142(03):619. |
| [7] | ZHAO De-wen.Mathematical Solution of Continuum Forming Force[M].沈阳:东北大学出版社,2003 |
| [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].New York:science Press,1998:1079. |
| [9] | 赵德文,谢英杰,刘相华,王国栋.由Tresca和双剪应力两轨迹间误差三角形中线确定的屈服方程[J].东北大学学报(自然科学版),2004(02):121-124. |
| [10] | Avitzur B.Handbook of Metal-Forming Process[M].New York:John Wiley and Sons,Inc,1983 |
| [11] | Willianm F H.Metal Forming Mechanics and Metallurgy[M].Englewood Cliffs,New Jersey:Prentice-Hall,Inc,1983 |
- 下载量()
- 访问量()
- 您的评分：
-
10%
-
20%
-
30%
-
40%
-
50%