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金属学报  1982, Vol. 18 Issue (5): 627-630    
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二元相图相界的计算方法
王明贤;雷琼芝
中国科学院金属研究所;中国科学院金属研究所
A CALCULATIONAL METHOD FOR DETERMINING PHASE BOUNDARY IN BINARY SYSTEM PHASE DIAGRAM
Wang Mingxian; Lei Qiongzhi (Institute of Metal Research; Academia Sinica; Shenyang)
引用本文:

王明贤;雷琼芝. 二元相图相界的计算方法[J]. 金属学报, 1982, 18(5): 627-630.
, . A CALCULATIONAL METHOD FOR DETERMINING PHASE BOUNDARY IN BINARY SYSTEM PHASE DIAGRAM[J]. Acta Metall Sin, 1982, 18(5): 627-630.

全文: PDF(285 KB)  
摘要: <正> 一般相图计算方法,例如公切线法靠切点确定相界,误差较大,对有些形状的自由能一成分曲线尚有困难。又如迭代法必须靠计算机计算,要求预先选定一组初始值,只有足够接近方程组的解才能迭代成功,在一定程度上无预测相平衡条件的意义。我们提出数值方向逼近法,希望克服上述两种方法的缺点。 以规则溶液模型为例,在给定温度T时,若i,j二元系中α与β两相平衡,则按某组元在两相中的偏克分子自由能相等,可得到下列方程组:
Abstract:A study was sought for a calculational method of the phase boundary determination in a binary system phase diagram other than the previous conventional ones. When two phases are in equilibrium in the binary system under certain given temperature, two transcendental equations may be obtained. The proposed method will be developed by ploting one of these equations on diagram, working out several sets of solutions to fulfil this equation and then inserting into another equation for numerical approximation. Based on the present method the computer will show the phase boundary correctly and directly if its mathematical expression is given.
收稿日期: 1982-05-18     
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