| Approximation solvability of hot rolling problem with Coulumb friction |
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| 引用本文： | SONG Shuni,LIU Xianghua. Approximation solvability of hot rolling problem with Coulumb friction[J]. 自然科学进展(英文版), 2000, 10(9): 702-707 |
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| 作者姓名： | SONG Shuni LIU Xianghua |
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| 作者单位： | State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110006, China,State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110006, China |
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| 摘 要： | For hot rolling process, the property of gradient mapping of the plastic deformation power rate func-tional is discussed with a rigid-plastic slightly compressible material model. Using the existence and monotonicity of sub-differential of surface friction power rate functional as well as the nonlinear functional analysis methods, the approximation solvability of hot rolling problem with simplified Coulumb friction is obtained.
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| 关 键 词： | slightly compressible material the total power rate functional approximation mapping of type (S)_ subdifferential. |
Approximation solvability of hot rolling problem with Coulumb friction |
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| SONG Shuni,LIU Xianghua. Approximation solvability of hot rolling problem with Coulumb friction[J]. Progress in Natural Science, 2000, 10(9): 702-707 |
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| Authors: | SONG Shuni LIU Xianghua |
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| Affiliation: | State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110006, China,State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110006, China |
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| Abstract: | For hot rolling process, the property of gradient mapping of the plastic deformation power rate func-tional is discussed with a rigid-plastic slightly compressible material model. Using the existence and monotonicity of sub-differential of surface friction power rate functional as well as the nonlinear functional analysis methods, the approximation solvability of hot rolling problem with simplified Coulumb friction is obtained. |
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| Keywords: | slightly compressible material the total power rate functional approximation mapping of type (S)_ subdifferential. |
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