Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (3): 371-376 .doi: https://doi.org/10.1007/s10483-006-0313-z

• Articles • Previous Articles     Next Articles

THERMAL STRESS FIELD WHEN CRACK ARREST IN AN AXIAL SYMMETRY METAL DIE USING ELECTROMAGNETIC HEATING

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

  1. College of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, Hebei Province, P. R. China
  • Received:2004-05-26 Revised:2005-11-15 Online:2006-03-18 Published:2006-03-18
  • Contact: FU Yu-ming

Abstract: In order to solve the thermal stress field around crack tip in metal die when crack prevention using electromagnetic heating, a metal die with a half-embedded round crack was selected as the study object. The complex function method was used as a basis for the theoretical model of the space crack prevention in metal dies using electromagnetic heating. The crack arrest was accomplished by a pulse current discharge through the inner and outer. The theoretical analysis results show that the temperature around the crack tip rises instantly above the melting point of the metal. Small welded joints are formed at a small sphere near the crack tip inside the metal die by metal melting as a result of the heat concentration effect when the current pulse discharged. The thermal compressive stress field appears around the crack tip at the moment. The research results show that the crack prevention using electromagnetic heating can decrease the stress concentration and forms a compressive stress area around the crack tip, and also prevents the main crack from propagating further, and the goal of crack preventing can be reached.

Key words: crack, crack arrest, pulse current discharge, complex function, thermal stress field

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals