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Thermal stress field when crack arrest in an axial symmetry metal die using electromagnetic heating

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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.

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Correspondence to Fu Yu-ming  (付宇明).

Additional information

Communicated by CHEN Zheng-han

Project supported by the National Natural Science Foundation of China (No.50275128) and the Natural Science Foundation of Hebei Province of China (No.599255)

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Fu, Ym., Tian, Zg. & Zheng, Lj. Thermal stress field when crack arrest in an axial symmetry metal die using electromagnetic heating. Appl Math Mech 27, 371–376 (2006). https://doi.org/10.1007/s10483-006-0313-z

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  • DOI: https://doi.org/10.1007/s10483-006-0313-z

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Chinese Library Classification

2000 Mathematics Subject Classification

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