应用科学学报 ›› 2003, Vol. 21 ›› Issue (2): 161-164.

• 论文 • 上一篇    下一篇

轴对称冲入半无限体的参量积分解法

赵德文, 王哓文, 刘相华, 王国栋   

  1. 东北大学轧制技术与连轧自动化国家重点实验室 辽宁 沈阳 110006
  • 收稿日期:2001-11-16 修回日期:2002-11-05 出版日期:2003-06-10 发布日期:2003-06-10
  • 作者简介:赵德文(1964-),男,辽宁法库人,教授;刘相华(1953-),男,黑龙江双鸭山人,教授,博导.
  • 基金资助:
    国家重点基础研究发展规划项目(G2000067208-4)

A Parametric Integration to Solve Axisymmetric Indentation of Semi-Infinite Medium by a Flat-Round Punch

ZHAO De-wen, WANG Xiao-wen, LIU Xiang-hua, WANG Guo-dong   

  1. State Key Lab of Rolling and Automation, Northeastern University, Shenyang 110006, China
  • Received:2001-11-16 Revised:2002-11-05 Online:2003-06-10 Published:2003-06-10

摘要: 对圆形平冲头轴对称冲入半无限体问题提出以参数方程建立速度场,并以参量积分求解变形功率的新方法。得到了轴对称冲入应力状态因子的上界解析解,证明了该解略低于平面变形冲入三角形速度场的最小上界值。

关键词: 参数方程, 解析解, 组合解析, 轴对称冲入

Abstract: A parametric equation to establish velocity field for the indentation of semi-infinite medium by a flat-round punch was proposed, and corresponding parametric integration to deformation power was performed as a new method in this paper. A minimal analytical upper-bound solution of stress state factor for the indentation was obtained. The result is shown to be lower than that of triangle velocity field for the plane-strain indentation.

Key words: axisymmetric indentation, combined analysis, parametric equation, analytical solution

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