金属材料热处理过程中的瞬态温度场与解态相变的数值计算方法
The Numerical Method for Analysing the Transient Temperature Field and Transient Phase Transformation of Metal Materials in Heat Treating
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摘要: 本文首先将Kirchhoff变换推广到导热系数为温度的多项式的非定常非线性热传导问题.并用分析方法确定热传导问题的边界条件.其次提出以孕育期叠加法并引用线性混合法则来模拟金属热处理过程的多相瞬态相变,较为简便地确定相变的开始时间、相变的种类及相变组织的数量.最后利用三维双重边界元法分析工件多种形式的热处理全过程.算例的数值计算结果表明本文方法行之有效.Abstract: 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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Key words:
- heat treatment /
- phase transformation /
- temperature field
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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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