Existence and uniqueness of extreme point of total power rate functional for hot rolling problem with rigid-plastic SCM model

The total power rate functional for hot rolling problem with the rigid-plastic SCM model is considered. The gradient operator of the plastic deformation power rate functional is deduced. It is strictly monotone mapping. Further, it is proved that the frictional power rate functional is a convex func...

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Bibliographic Details
Published inChinese science bulletin Vol. 45; no. 1; pp. 11 - 18
Main Authors Song, Shuni, Liu, Xianghua, Wang, Guodong
Format Journal Article
LanguageEnglish
Published Beijing Springer Nature B.V 01.01.2000
State Key Laboratory of Rolling and Automation,Northeastern University,Shenyang 110006,China
Subjects
Functional analysis
Hot rolling
Plastic deformation
Plastics
Uniqueness
rolling
strictly convex functional
slightly compressible material (SCM)
total power rate functional
extreme point
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Summary:The total power rate functional for hot rolling problem with the rigid-plastic SCM model is considered. The gradient operator of the plastic deformation power rate functional is deduced. It is strictly monotone mapping. Further, it is proved that the frictional power rate functional is a convex functional and the tensional stress power rate functional is a linear one. Hence, the total power rate functional is a strictly convex functional. By using nonlinear functional analysis methods, the existence and uniqueness of extreme point of the functional is obtained.
ISSN:1001-6538
2095-9273
1861-9541
2095-9281
DOI:10.1007/BF02884894