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Application of geometric midline yield criterion to analysis of three-dimensional forging
作者姓名:赵德文  王根矶  刘相华  王国栋
作者单位:State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110004, China
摘    要:A kinematically admissible continuous velocity field was proposed for the analysis of three-dimensional forging. The linear yield criterion expressed by geometric midline of error triangle between Tresca and Twin shear stress yield loci on the π-plane, called GM yield criterion for short, was firstly applied to analysis of the velocity field for the forging. The analytical solution of the forging force with the effects of external zone and bulging parameter is obtained by strain rate inner product. Compression tests of pure lead are performed to compare the calculated results with the measured ones. The results show that the calculated total pressures are higher than the measured ones whilst the relative error is no more than 9.5%. It is implied that the velocity field is reasonable and the geometric midline yield criterion is available. The solution is still an upper-bound one.

关 键 词:三维空间  锻造技术  溶液分解  金属学
收稿时间:2006-11-29
修稿时间:2007-06-18

Application of geometric midline yield criterion to analysis of three-dimensional forging
ZHAO De-wen,WANG Gen-ji,LIU Xiang-hua,WANG Guo-dong.Application of geometric midline yield criterion to analysis of three-dimensional forging[J].Transactions of Nonferrous Metals Society of China,2008,18(1):46-51.
Authors:ZHAO De-wen  WANG Gen-ji  LIU Xiang-hua  WANG Guo-dong
Affiliation:State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110004, China
Abstract:A kinematically admissible continuous velocity field was proposed for the analysis of three-dimensional forging. The linear yield criterion expressed by geometric midline of error triangle between Tresca and Twin shear stress yield loci on the π-plane, called GM yield criterion for short, was firstly applied to analysis of the velocity field for the forging. The analytical solution of the forging force with the effects of external zone and bulging parameter is obtained by strain rate inner product. Compression tests of pure lead are performed to compare the calculated results with the measured ones. The results show that the calculated total pressures are higher than the measured ones whilst the relative error is no more than 9.5%. It is implied that the velocity field is reasonable and the geometric midline yield criterion is available. The solution is still an upper-bound one.
Keywords:GM yield criterion  three-dimensional forging  continuous velocity field  inner product  analytical solution
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