Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (7): 961-966 .doi: https://doi.org/10.1007/s10483-008-0715-y

• Articles • 上一篇    下一篇

含埋藏椭圆性裂纹的金属构件脉冲放电瞬间温度场分析

付宇明,田振国,郑丽娟,李伟   

  1. 燕山大学 机械工程学院,河北 秦皇岛 06604
  • 收稿日期:2007-11-21 修回日期:2008-07-09 出版日期:2008-07-03 发布日期:2008-01-01
  • 通讯作者: 付宇明

Temperature field at time of pulse current discharge in metal structure

FU Yu-ming, TIAN Zhen-guo,ZHENG Li-juan, LI Wei   

  1. College of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, Hebei Province, P. R. China
  • Received:2007-11-21 Revised:2008-07-09 Online:2008-07-03 Published:2008-01-01
  • Contact: FU Yu-ming

摘要: 对带有椭圆埋藏裂纹金属构件在脉冲放电瞬间的温度场进行了理论根系。在带有裂纹问题温度场的理论求解中,根据相似性定理,将电流通过带有椭圆面裂纹导体类比于流体流过障碍物的情形,从而引入了裂纹的边界条件,得到域内电流密度的分布,进而得到了放电瞬间埋藏椭圆裂纹尖端的温度场表达式,为空间裂纹电磁热止裂技术的实际应用提供了理论基础。

关键词: 电磁热效应, 埋藏裂纹, 止裂, 温度场, 脉冲放电

Abstract: Theoretical analysis is made on the temperature field at the time of pulse current discharge in a metal structure with an elliptical embedding crack. In finding the temperature field, analogy between the current flow through an
elliptical embedding crack and the fluid flow through a barrier is made based on the similarity principle. Boundary conditions derived from this theory are introduced so that the distribution of current density and the temperature field expressions can be obtained. The study provides a theoretic basis to the applications of stopping spatial crack with electromagnetic heating.

Key words: temperature field, pulse current discharge, electromagnetic heating effect, embedding crack, crack arrest

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