解析辊拔问题的变上限与参变量积分

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The lntegral as a Function of the Upper Limit and Depending on a Parameter to Solve Drawing Through ldling Rolls

摘要: 本文建立与Avitzur不同的直角坐标系速度场与应变速率场,并采用变上限积分与参变量积分获得辊拔力的上界解析解。
- 辊拔 /
- 变上限积分 /
- 参变量积分 /
- 解析解
Abstract: The relocity and sirain-rate .field which are different from Avilzur's have been established in Caitesian coordinates. Using the integral as a function of the upper limitand integration depending on a parameler,an analylical upper-bound solution todrawing stress through idling rolls has been obtained in this paper.
- drawing through idling rolls /
- integral as a function of theupper limit /
- integration depending on a parameter /
- analytical solution

[1]	Avitzur,B.,Processes and Analysis,Metal Forming,McCiraw-Hill.,Inc.(1968),478-480.
[2]	Hoffman,O.,and G.Sachs,Introduction to the Theory of Plasticity for Engineers,McGraw-Hill Book Company,Inc.(1953),249.
[3]	Avitzur,B.,The application of limit analysis,Metal Forming,Marcel Dekker,1nc.(1980),7.
[4]	赵志业、王国栋,《现代塑性加工力学》,东北工学院出版社(1986),57.