J Mater Sci Technol ›› 2005, Vol. 21 ›› Issue (04): 433-436.

• Research Articles •     Next Articles

Derivation of Plastic Work Rate Done per Unit Volume for Mean Yield Criterion and Its Application

Dewen ZHAO, Yingjie XIE, Xiaowen WANG, Xianghua LIU   

  1. State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110004, China
  • Received:2005-01-24 Revised:2005-03-29 Online:2005-07-28 Published:2009-10-10
  • Contact: Dewen ZHAO

Abstract: In Haigh Westergaard stress space linear combination of twin shear stress and Tresca yield functions is called the mean yield (MY) criterion. The mathematical relationship of the criterion and its plastic work rate done per unit volume were derived. A generalized worked example of slab forging was analyzed by the criterion and its corresponding plastic work rate done per unit volume. Then, the precision of the solution was compared with those by Mises and Twin shear stress yield criterions, respectively. It turned out that the calculated results by MY criterion were in good agreement with those by Mises criterion.

Key words: Mean yield criterion, Plastic work rate done per unit volume, Functional linearization, Slab forging