| 半无限体压入问题的流函数解法 |
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| 引用本文： | 赵德文,李桂范,刘凤丽.半无限体压入问题的流函数解法[J].装备环境工程,1994(6). |
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| 作者姓名： | 赵德文 李桂范 刘凤丽 |
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| 作者单位： | 东北大学
(赵德文)，辽宁大学
(李桂范)，辽宁大学(刘凤丽) |
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| 摘 要： | 对平冲头压入半无限体问题建立了流函数速度场,证明该场散度为零,旋度不为零,为管形场。采用上界定理对该速度场积分结果与滑移线结果一致,流线为一族曲线滑移线。
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| 关 键 词： | 流函数 流线 散度 旋度 管形场 |
A Solution With Stream Function to Indentation of Semi-infinite Medium |
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| Northeastern University Liao Ning University,Zhao Dewen Li Guifan Liu Fengli.A Solution With Stream Function to Indentation of Semi-infinite Medium[J].Equipment Environmental Engineering,1994(6). |
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| Authors: | Northeastern University Liao Ning University Zhao Dewen Li Guifan Liu Fengli |
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| Institution: | Northeastern University Liao Ning University
Zhao Dewen Li Guifan Liu Fengli |
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| Abstract: | A velocity field with stream function is first established for the problem of indentation of semi-infinite medium by a flat punch. The divergence of the field is proved to be zero and the vorticity be not zero. Therefore , it is a solenoidal vector field. With upper-bound theorem and integrating, the result of the indentation force is the same as that by slip line solution. It has been shown that the atream line is a family of curve slip lines. |
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| Keywords: | Stream function Stream line Divergence Vorticity solenoidal vector field |
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