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半无限体压入问题的流函数解法

A Solution With Stream Function to Indentation of Semi-infinite Medium

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【作者】 赵德文; 李桂范; 刘凤丽;

【Author】 Northeastern University Liao Ning UniversityZhao Dewen Li Guifan Liu Fengli

【机构】 东北大学; 辽宁大学;

【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。

【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.

  • 【文献出处】 金属成形工艺 ,Metal Forming Technology , 编辑部邮箱 ,1994年06期
  • 【分类号】TG306
  • 【被引频次】1
  • 【下载频次】31
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