摘要:
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求得了光滑平冲头压入半无限体的精确上限解。首先设计一个和滑移线场很接近的运动许可速度场 ,将塑性变形区的中心扇形滑移线场划分为n个相互滑错的等腰三角形刚性块 ,推导出了含有n的上限解的通用表达式。然后令n→∞ ,从而得到和滑移线解相同的精确上限解
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This paper found the accurate upper\|bound solution for the indentation of a semi infinite body by a smooth flat punch. In this paper, first, a kinematically admissible velocity field approaching the slip line field was designed. The central fan slip line field in the plastic deformation zone was devidced into n rigid isosceles triangle blocks slipping each other, and the general formula of the upper\|bound solution with n was deduced. Then, when n→∞, the accurate upper-bound solution to be identically equal to the slip line solution was obtained.
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基金项目:
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作者简介:
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参考文献:
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1 王仁,熊祝华,黄文彬 著.塑性力学基础.北京:科学出版社,1982
2 严宗达编著.塑性力学.天津:天津大学出版社,1988
3 汪大年主编.金属塑性成形原理.北京:机械工业出版社,1986
4 王仲仁等编著.塑性加工力学基础.北京:国际工业出版社,1989
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