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.
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.
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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