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铁道科学与工程学报

JOURNAL OF RAILWAY SCIENCE AND ENGINEERING

Vol. 19    No. 3    June 2009

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Deduction of plastic work rate per unit volume for unified yield criterion and its application
ZHAO De-wen(赵德文), LI Jing(李 婧), LIU Xiang-hua(刘相华), WANG Guo-dong(王国栋)

State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110004, China

Abstract:A unified linear expression of plastic work rate per unit volume is deduced from the unified linear yield criterion and the associated flow rule. The expression is suitable for various linear yield loci in the error triangle between Tresca’s and twin shear stress yield loci on the π-plane. It exhibits generalization in which the different value of criterion parameter b corresponds to a specific linear formula of plastic work rate per unit volume. Finally, with the unified linear expression of plastic work rate and upper-bound parallel velocity field the strip forging without bulge is successfully analyzed and an analytical result is also obtained. The comparison with traditional solutions shows that when b=1/(1+ ) the result is the same as the upper bound result by Mises’ yield criterion, and it also is identical to that by slab method with m=1, σ0=0.

 

Key words: π-plane; flow rule; unified linear plastic work rate; deduction; application

ISSN 1672-7029
CN 43-1423/U

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