Yuan Fa-rong, Yang Shu-shen. The Numerical Method for Analysing the Transient Temperature Field and Transient Phase Transformation of Metal Materials in Heat Treating[J]. Applied Mathematics and Mechanics, 1993, 14(9): 787-792.
Citation: Yuan Fa-rong, Yang Shu-shen. The Numerical Method for Analysing the Transient Temperature Field and Transient Phase Transformation of Metal Materials in Heat Treating[J]. Applied Mathematics and Mechanics, 1993, 14(9): 787-792.

The Numerical Method for Analysing the Transient Temperature Field and Transient Phase Transformation of Metal Materials in Heat Treating

  • Received Date: 1992-06-15
  • Publish Date: 1993-09-15
  • In this paper, the Kirchhoff's transformation is popularized to the nonlinear heat conduction problem which the heat conductivity can be expressd as a multinomial of temperature firstly, the boundary condition of heat conduction problem is determined by analytics.Secondly, the incubation peroid superposition and the linear combination law is employed to simulate the transient phasses transformation in the process of heat treatment of materials. That the begin time of phase transformation, the type of phase transformation and the amount of phase constitution is determined simply.Finally, the three-dimension Dual Reciprocity Boundary Element Method is used to analysis the total process of various heat treatment of component, the results of numerical calculation of examples show that the method provided in this paper is effectivce.
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  • [1]
    Yuan Fa-rong and Wu Shan-li,Transient temperature and residual stress field in axisymmetric metal components after hardening,Materials Science and Technology,1,10(1985).
    [2]
    Wrobel L.C.et al.,The dual reprocity boundary element formulation for nonlinear diffusion problem,computer methods,Applied Mechanics and Engineering,65(1987),147-165.
    [3]
    Tnoue,T.,T.Yamaguchi and Wang Zhi-gang,Stress and phase transformation occurring in quenching of carburized steel gaerwheel,Material Science and Technology,10(1)(1985).
    [4]
    Yao Shan-chang et al.,The computer simulation of the quenching process,Metal Heat Treatment,8(1987).
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